Students’ Perceptions of Supplemental Online Homework in an

60
Students’ Perceptions of Supplemental Online Homework in an Applied Calculus Class A Capstone Project Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Arts in Teaching: Mathematics David Peterson Department of Mathematics and Computer Science College of Arts and Sciences Graduate School Minot State University Minot, North Dakota Summer 2012

Transcript of Students’ Perceptions of Supplemental Online Homework in an

Students’ Perceptions of Supplemental Online Homework in an Applied Calculus Class

A Capstone Project

Submitted in Partial Fulfillment of

the Requirements for the Degree of

Master of Arts in Teaching: Mathematics

David Peterson

Department of Mathematics and Computer Science

College of Arts and Sciences

Graduate School

Minot State University

Minot, North Dakota

Summer 2012

ii

This capstone project was submitted by

David Peterson

Graduate Committee:

Dr. Laurie Geller, Chairperson

Dr. Narayan Thapa

Dr. Warren Gamas

Dean of Graduate School

Dr. Linda Cresap

Date of defense: June 22, 2012

iii

Abstract

The main purpose of this study was to determine students’ perceptions of supplemental online

homework in an Applied Calculus class. A pre-survey was administered to 19 students at the

beginning of the study; a post-survey was administered at the conclusion of the study to the same

19 students. Results of the study indicated that there was not a statistically significant difference

in the following areas: students’ perceptions of the reduction of mental fatigue associated with

completion of the online homework, students’ perceptions of the ability of the online software to

supply guidance during homework completion, students’ perceptions of the opportunity to learn

from mistakes, guessing at answers while completing homework, and students’ perceptions of

homework completion as providing a deeper understanding of the mathematical concepts of the

class. The results of the study did indicate, however, that homework completion and students’

perception of timely feedback provided increased significantly. Overall, students’ perceptions of

supplemental online homework were favorable.

iv

Acknowledgements

This action research project would not have been possible without the support and

contribution of many people. I wish to express a heartfelt thank you to Dr. Laurie Geller who,

throughout the entire project, provided guidance, encouragement, and inspiration. I would also

like to thank all members of my graduate committee for their assistance in writing the paper. I

would like to acknowledge the dedication of the Master of Arts in Teaching: Mathematics

faculty for their commitment to education. I appreciate all that you have taught me and offer my

deepest gratitude. Finally, I would like to thank my daughter, Jada, for her unrelenting

enthusiasm and my wife, Renae, for her unyielding support.

“It would appear that we have reached the limits of what it is possible to achieve with computer

technology, although one should be careful with such statements, as they tend to sound pretty

silly in 5 years.”

John von Neumann (1903-1957)

v

Table of Contents

Page

Abstract .......................................................................................................................................... iii

Acknowledgements ........................................................................................................................ iv

List of Tables ................................................................................................................................ vii

Chapter One: Introduction ...............................................................................................................1

Motivation for the Project ....................................................................................................2

Background on the Problem.................................................................................................2

Statement of the Problem .....................................................................................................3

Statement of Purpose ...........................................................................................................4

Research Questions/Hypotheses ..........................................................................................4

Definitions............................................................................................................................5

Summary ..............................................................................................................................5

Chapter Two: Review of Literature .................................................................................................6

Online Homework ................................................................................................................6

Homework Concerns ...........................................................................................................7

Providing Guidance and Feedback ......................................................................................8

Advantages and Disadvantages ............................................................................................9

Students’ Perceptions .........................................................................................................11

WebAssign .........................................................................................................................12

Summary ............................................................................................................................13

Chapter Three: Research Design and Method ...............................................................................15

Setting ................................................................................................................................15

vi

Innovation ..........................................................................................................................15

Design ................................................................................................................................17

Description of Methods......................................................................................................17

Analysis Strategy ...............................................................................................................18

Expected Results ................................................................................................................20

Timeline for the Study .......................................................................................................20

Summary ............................................................................................................................20

Chapter Four: Results and Interpretations .....................................................................................21

Results of Data Analysis ....................................................................................................21

Interpretation of Results .....................................................................................................30

Summary ............................................................................................................................32

Chapter Five: Conclusions, Action Plan, Reflections, and Recommendations .............................33

Conclusions ........................................................................................................................33

Action Plan.........................................................................................................................35

Reflections and Recommendations for Teachers ...............................................................36

Summary ............................................................................................................................38

References ......................................................................................................................................40

Appendices .....................................................................................................................................42

Appendix A: College Consent ...........................................................................................43

Appendix B: Minot State University IRB Consent Form ..................................................44

Appendix C: Student Consent Form ..................................................................................45

Appendix D: Student Perceptions of Online Homework Pre-Survey ................................48

Appendix E: Student Perceptions of Online Homework Post-Survey ...............................50

vii

List of Tables

Table Page

1. Pre-Survey and Post-Survey Results (Questions 1-7) .......................................................24

2. Means and Standard Deviations of Pre- and Post-Surveys (Questions 1-7) .....................25

3. Paired T-Test Results for the Pre- and Post-Surveys (Questions 1-7) ...............................26

4. Post-Survey Results (Questions 8-18) ...............................................................................27

Chapter One

Introduction

As a college mathematics tutor, I often heard a familiar student concern: “I understand

the material in class, but when I try to do the homework, I’m lost.” Even now, several years into

my teaching career, I hear the same story.

Assigning homework seems common practice in mathematics. Typically, students are

assigned a set of preselected questions ranging from simple computational problems with a

single correct result to open-ended questions that have many correct solutions. Completing the

homework can be a daunting task for students. While completing this homework, students are

expected to replicate all that they were shown in the classroom. Traditionally, instructors have

assigned homework in the form of worksheets and textbook exercises, though web-based

homework tutorials are gaining popularity in schools across the country (Mendicino, Razzaq, &

Heffernan, 2009).

It appears that homework is still an integral part of mathematics, regardless of how it is

delivered and assessed. Traditional homework can be a convenient platform for asking open-

ended questions that enhance students’ critical thinking skills. Web-based homework sets

provide guidance but are typically bound to computational or procedural knowledge. From my

experience, traditional homework cannot be assessed as quickly as online homework. Online

homework provides additional opportunities for students to actively develop their conceptual

skills by offering guidance and immediate feedback. In this study, I explored the perceptions

students had toward supplemental online homework in an Applied Calculus class.

2

Motivation for the Project

During the spring semester of 2011, I taught an Intermediate Algebra class using an

online site to supplement homework. I found many benefits as well as a few detriments to the

use of online homework. Students were able to correct misconceptions immediately by

completing the online exercises while using the ancillaries. Unfortunately, the specific online

format did not fully allow students to enhance their critical thinking skills. Therefore, an

appropriate balance of online homework and traditional homework appeared essential for student

growth. I found that many students appreciated the guidance offered by web-based tutorials and

consequently were able to address misconceptions quickly. It seemed that students gained a

deeper understanding of the material through use of online homework. During the Intermediate

Algebra course, several informal surveys were conducted. Overall, students favored the use of

online homework. I was left wondering if other students would perceive online homework as

worthwhile and could it be beneficial in my other classes.

My experience using online software motivated me to study how students perceive the

use of supplemental online homework. I believed that students would benefit from the

availability of online homework but realized the challenges of incorporating online homework in

the classroom. I chose to implement supplemental online homework in an Applied Calculus

class as the focus of this study and determine students’ perceptions of it.

Background on the Problem

If homework is assumed a necessary component of learning, then examining how

homework is delivered, completed, and assessed is critical for understanding its effectiveness in

terms of student learning. I regularly assigned homework to my math students and often

wondered if they were getting as much out of it as they could. Were they simply completing

3

tasks to fulfill a requirement? Could I give them feedback quickly enough so that they could

continue to construct connections between related math topics? I believed that a student’s

perception of the effectiveness of homework was related to their performance. Simply put, if

students find that the homework contributes to their learning in a positive manner, they would

complete the homework and perform better on formal assessments. This, in turn, would

positively contribute to the overall student perception of the learning process.

Students are required to master many math concepts in Applied Calculus. Many of the

solutions to the problems consist of multiple steps and require the student to understand the big

picture. In order to explore these rich connections, the student must take ownership of the

learning process. This self-efficacy is developed through the successful completion of tasks

throughout the course, both in and out of the classroom. Online homework affords the student

the luxury of exploring topics outside of the classroom while offering solution strategies and

guidance. Since such independent practice is necessary, adequate study of alternative homework

strategies was explored.

I chose to pursue the topic of online homework in my Applied Calculus class because I

felt it would help students receive the guidance and feedback necessary to understand concepts

and clarify misconceptions. From my past experience using online homework, I realized the

advantages and disadvantages of including it in the course. This study aimed to determine how

students perceived supplemental online homework.

Statement of the Problem

Most people have encountered this familiar scenario in the mathematics classroom: An

instructor assigns a homework set on Monday, and students complete the work. The work is

turned in on Wednesday, but the instructor must assess the homework and return it Friday. A

4

week has elapsed before students can revisit concepts and correct misconceptions, but the class

has moved well beyond the concepts by this time. How can teachers expect students to master

concepts by building on misconceptions? This is problematic for students and teachers alike. A

formidable challenge I found with homework was providing guidance and feedback quickly for

students.

Statement of Purpose

The purpose of this study was to determine students’ perceptions of supplemental online

homework in an Applied Calculus class.

Research Questions/Hypotheses

The overarching research question was the following: What were students’ perceptions of

supplemental online homework in Applied Calculus? Specifically, relevant questions regarding

the research were as follows:

1) What were students’ perceptions of supplemental online homework in Applied Calculus?

a. Did students perceive online homework as worthwhile?

b. Did students believe that online homework helps them learn the material?

c. Did students prefer online homework over traditional homework?

2) Was there a change in student perception of homework after the implementation of

supplemental online homework?

I hypothesized students would perceive online homework as helpful and worthwhile in

learning Applied Calculus topics. I was optimistic that the use of online homework would

contribute to student learning and that students would benefit from its use. I believed that

students would prefer online homework over traditional homework and that there would be some

5

change in students’ perceptions after using online homework. I was eager to implement online

homework in my Applied Calculus class.

Definitions

Ancillaries—Supplemental learning aids such as videos and PowerPoint lectures offered in an

online format.

Ego depletion—Effects of impaired mental ability following from imposed willpower or self-

control. It is based on the theory that self-control and willpower are exhaustible resources and

that exhausting one’s self-control or willpower impairs the ability to further control oneself.

Mental fatigue—General decrease of attention.

Online homework—Independent practice assigned by the teacher to be completed in an online

format with computer generated questions, guidance, and practice problems.

Traditional homework—Preselected set of questions or problems assigned for completion

outside of class typically given as worksheets, or textbook problem sets.

Summary

I was aware of potential benefits of the use of online homework in Applied Calculus, but

recognized that research was necessary to determine how students perceived online homework.

This study was devoted to determining students’ perceptions of supplemental online homework.

In the following chapter, I offered details on the literature reviewed as it pertained to my

research.

Chapter Two

Review of Literature

Technology can be described as the application of knowledge for practical purposes.

Educators are busy utilizing various technologies in classrooms to promote student learning and

consequently changing the practice of education. The increased use of technology in and out of

the classroom potentially results in increased teaching opportunities for educators and increased

learning opportunities for students. Therefore, educators face the daunting task of selecting the

right technological tool for the job. The logical question that demands an answer is whether the

adoption of these technologies benefits students. In the classroom, I have witnessed students’

fervor for the latest technology. With this in mind, I decided to investigate the application of a

particular piece of technology, online homework, and students’ perceptions of it. Online

homework, homework concerns, the adoption of online homework by educators, students’

perceptions, and case studies involving online homework are discussed in the literature review.

Online Homework

Delivering homework via the Internet is an option educators now have in the connected

world. Furthermore, student assessment can also include computer-based forms, thanks to the

evolution of web-based technologies (Demirci, 2007). Online homework (or web-based

homework) is a homework set chosen and assigned by the instructor to be delivered by web-

based application software. The instructor is free to choose the types of questions consistent

with the topic of study. Much like traditional paper-pencil homework, students are expected to

complete the required assignments and turn them in. Submitting online homework requires

students complete the assignments on a computer connected to the Internet in the predetermined

7

time frame. Web-based software allows for the assessment of students work, guidance, and

feedback for the student (Demirci, 2007).

Homework Concerns

Regardless of how homework is delivered, online or traditionally, impediments to

homework completion commonly arise. When selecting homework questions, teachers have the

ability to select problems of a given difficulty level. Unfortunately, students may not feel fully

prepared for that given level of difficulty. Students will not do what they cannot do, placing

teachers and students at odds over homework completion expectations. While teachers feel as

though they set reasonable expectations, students may feel otherwise. This was confirmed in a

recent study; Hong, Wan, and Peng (2011) found students’ mean self-rating on homework

difficulty was higher than the teacher’s rating. “To generate homework more relevant to

students, teachers need to have an understanding of homework difficulties that students are

experiencing and the reasons students do not complete their assignments” (Hong et al., 2011, p.

283). It is also important to note that students’ views of homework value and homework effort

are positively related to their achievement as found by Hong, Peng, and Rowell (2009). In fact,

the view that homework completion contributes to learning is widely accepted (Kodippili &

Senaratne, 2008).

Though the majority of students rate the value of completing homework as high

(Richards-Babb, Drelick, Henry, & Robertson-Honecker, 2011) and understand that completing

homework will benefit them, many students still do not complete all of the homework. When

completing a difficult task, a person can push oneself only so far before the effects of mental or

physical depletion are noticed later, a phenomenon known as ego depletion (Alberts, Martijn, &

de Vries, 2011). Ego depletion is a reduction in performance level that follows from brief

8

periods of self-control (Alberts et al., 2011). “Knowing what is best for you does not always

lead to behavior that is congruent with that knowledge.” (Alberts et al., 2011, p. 58) When the

feeling of unpreparedness is coupled with ego depletion, students will simply choose not to

continue with increasingly more difficult questions (Price & Yates, 2010).

In summary, even experienced teachers send their students to battle homework questions

for which they may not be ready. Understanding how ego depletion causes a person to fatigue

during homework completion may shed some light on the challenges of homework. It is

imperative students receive guidance during the completion of their homework, for it is too late

to provide guidance after it is turned back to the student. Guidance during homework may

reduce mental fatigue allowing for completion of the homework.

Providing Guidance and Feedback

Online homework affords the student the opportunity to retry problems until he or she

proves mastery of the subject. This tool also has the ability to guide students through difficult

problems with step-by-step prompts and online tutorials. Furthermore, online homework

delivered by the web-based software allows students to reflect on their work immediately as a

result of the instant feedback provided (Cox & Singer, 2011).

Homework questions can be selected by the instructor and randomized to reduce the

likelihood of copying (M. Livingood, personal communication, September 26, 2011). Providing

guidance and feedback in an environment that discourages copying may promote more active,

independent learning. This benefit was supported in a recent study by Richards-Babb et al.

(2011) where the majority of students (61%) reported working alone on online homework.

Online software is available for the purpose of tutoring students in mathematics. “New

intelligent tutoring systems that guide students through math problems much the same way

9

human tutors do have been successful in helping students learn math in the classroom”

(Mendicino et al., 2009, p.331). The guidance available during homework completion allows

students to discover their own misconceptions and correct them before continuing on with the

homework set. Results of the study by Maloy, Edwards, and Anderson (2010) demonstrated a

statistically highly significant difference in student test scores for students using an online

tutoring system compared to students who did not use the online tutoring system. In the study by

Richards-Babb et al. (2011), it was found that the majority of students were willing to use the

online homework to learn from their mistakes, and 90.9% of students utilized effective problem

solving techniques online rather than guessing or copying.

Advantages and Disadvantages

While researching related literature, both advantages and disadvantages of the adoption

of web-based homework became evident. Overall students seemed to favor the use of online

homework, though their test results did not always reflect the benefits of online homework.

Weber and Young (2005) found that the use of Blackboard’s online homework system actually

decreased student exam scores during the online homework unit. The researchers also

discovered, through student interviews, students did not feel the need to write down their work

during online homework completion. Lower exam scores were attributed to the students’

dependence on the online format. Consequently, the researchers wondered if a more open-ended

format for the online homework would help improve exam scores (Weber & Young, 2005).

Students in the study also reported they spent less time on online homework assignments than

the traditional homework assignments. Interestingly, Weber and Young found that many

students were not willing to rework a lesson more than once despite the opportunity to do so

online.

10

Again, much of the literature addressed how online homework affects achievement,

though some of the results were inconclusive. Kodippili and Senaratne (2008) used MyMathLab

to deliver online homework. The researchers found that the use of online homework benefitted

teachers by allowing for more faculty time with students; however, they found inconclusive

evidence to support the use of online homework to increase student achievement. In his study

comparing web-based homework to paper-based homework, Demirci (2007) found no statistical

differences in grade point averages between the two groups. He recommended future research

investigating students’ perceptions toward web-based testing be conducted in classes where

computer use is not a chief component of the course.

Other research, such as the work of Richards-Babb et al. (2011), found that student

average success rates increased after the implementation of online homework. In fact, their

study showed a 9.9% increase, with a 99.9% confidence interval. Additionally, their study

confirmed that 80.2% of students indicated a positive experience with online homework.

Finally, the researchers discovered that replacing quizzes directly with online homework

significantly improved (p < 0.0005) success rates.

In a study comparing traditional paper-pencil homework to computer-supported

homework by Mendicino et al. (2009), a statistically reliable difference in favor of the computer-

supported condition was found. The researchers found that students learned significantly more

with computer-supported homework than with paper-pencil homework.

The research mentioned here provided insight into the potential benefits of online

homework. Though contradictory evidence was cited, the overall impression of online

homework was favorable. Using these findings, it appeared worthwhile to pursue the research of

students’ perceptions of using online homework in a given mathematics course.

11

Students’ Perceptions

Many of the studies reviewed focused on student achievement through the use of online

homework, but also addressed students’ perceptions of online homework. Though achievement

results varied widely, common themes related to student’s perceptions of online homework were

evident in the available literature.

In a study comparing web-based homework to paper-based homework, Cox and Singer

(2011) found the majority of students endorsed the use of online homework, citing that receiving

feedback and being allowed multiple attempts to answer the homework questions provided them

opportunities to think about their work and answers. Interestingly though, more than 70% of the

students felt that paper-based homework better prepared them for the course exams.

Additionally, students perceived collaboration as effective means to homework completion

differently for online homework and traditional paper-based homework. Students reported that

collaboration while completing online homework was inefficient, citing that the randomization

feature of the online software inhibited effective collaboration (Cox & Singer, 2011). The

researchers Der Ching and Yi Fang (2010) found that students who used web-based learning

resources not only learned significantly more, but also had more positive attitudes toward

mathematics learning than students who did not use web-based learning resources. In fact, the

use of computers also seemed to promote students’ learning motivation (Der Ching & Yi Fang,

2010). The improved motivation that can result from the online environment was illuminated in

a recent study; Slagter van Tryon and Bishop (2009) noted that comprehensive technical support,

when provided, helped students by motivating them to know the target better.

12

WebAssign

Though many different web-based programs are available for use in mathematics,

WebAssign was chosen for this study because it was partnered with the textbook that was used in

the Applied Calculus class. In addition to the textbook, students paid an additional $17 fee for

the use of WebAssign for the semester. The cost to the college was $5 (M. Livingood, personal

communication, September 26, 2011). WebAssign was created by North Carolina State

University to help the large number of introductory physics students complete their assignments

(Dutton, 2001). One of the main features of WebAssign is the online tutorials that provide

guidance for students during the homework completion. Dutton (2001) explained the other

original advantages of WebAssign:

o Impersonal enforcement of deadlines

o Flexibility in timing

o Flexibility in posting assignments

o Collecting essay responses

o Peer grading of essays

o Providing instructor help

o Ability to enter programmed hints

o Security

o Item analysis of questions

o Archiving class materials

o Student access to grade records.

WebAssign now has a show-your-work feature that encourages students to actively work out the

problem step by step and can also be used for assessment purposes (M. Livingood, personal

13

communication, September 26, 2011). According to WebAssign (1997-2010a), the benefits of

using their homework assignment service are:

o Easy to use and available 24/7

o Homework graded instantly and automatically

o Instant feedback on performance

o Ask the instructor a question with a single click

o Request an extension with a single click

o Password-protected access to your class scores

o Student-centered support available live 7 days a week

o Detailed online documentation. (Benefits for Students section)

Additionally, WebAssign partners an e-book with a search feature and read-about-it

feature for students to use out of the classroom. WebAssign also has online videos and tutorials

along with live tutor assistance available seven days a week (WebAssign, 1997-2010b).

WebAssign seems to have the capacity to provide students with online support outside of

class. My hope was that it would benefit my students by providing them immediate feedback

and guidance that I could not while they completed their homework.

Summary

If one believes that technology is an essential part of teaching and learning mathematics,

as The National Council of Teachers of Mathematics (2012) does, then the inclusion of

technology in the classroom is imperative. During the research process, I found evidence that

both supported and contradicted my belief that online homework is beneficial to student learning.

Some studies found decreased test scores as well as inconclusive evidence to support its use,

other studies found strong evidence to support its use. The research revealed connections

14

between students’ online support and their ability to continue to push themselves and actively

learn the material. Overwhelmingly, students perceived the use of online homework as

beneficial.

Overall, online homework has the potential to improve the learning environment for

students. A student, quoted as stating, “I did the problem again, found where I went wrong,

correctly did it, and got it right 95% of the time” (Richards-Babb et al., 2011, p. 88) exemplifies

the benefit of online homework. This speaks to the benefit of immediate feedback, guidance,

and the ability to correct mistakes during homework completion. It is this type of support

inherent in online software that allows the student to recover from misconceptions and actively

learn the material.

The expectations for this study were that students would perceive online homework as

worthwhile in terms of learning the material. I hypothesized that online homework would help

guide students while completing their homework and that students would perceive a reduction in

the mental fatigue associated with the completion of difficult tasks. It was also my hope that

online homework software would help identify misconceptions through instant feedback and

allow my students to gain a deeper understanding of mathematics. I also expected a change in

students’ perceptions of online homework by the end of the study. The next chapter explains the

methods of my action research project.

Chapter Three

Research Design and Method

The purpose of this study was to determine students’ perceptions of supplemental online

homework in Applied Calculus. Additionally, the study was conducted to better understand

students’ concerns about online homework, as well as recognize any change in students’

perceptions of online homework after its use.

Information pertinent to this action research project, such as setting, innovation, design,

methods, and analysis strategy, is presented within this chapter. Additionally, the anticipated

outcomes are offered in the expected results. A timeline of the study is also included.

Setting

The study took place during the first half of the semester in a college Applied Calculus

class. The college is located in the Midwest and typically has approximately 4,000 enrolled

students per semester. Two sections of Applied Calculus were offered during both the spring

and fall semesters allowing up to 30 students per section. Twenty-four students enrolled in the

one semester, three-credit course. The 16-week semester schedule permitted three 50-minute

class periods per week. The prerequisite for Applied Calculus is College Algebra, which the

North Dakota University System deemed as “college ready.” Applied Calculus topics include,

but are not limited to, limits, derivatives, integrals, exponential and logarithmic functions, and

applications.

Innovation

Even though all students met the prerequisite for the class, some students needed more

practice than others with regard to homework. In past semesters, I have included a single one-

size-fits-all homework set for the students and have found the homework set does not provide

16

everyone the necessary practice needed to master the various topics of the class. Furthermore, I

have been unable to provide feedback to their homework quickly enough so that their

misconceptions did not affect future topics. From past experience, I found timely feedback is

crucial for concept development. Thus, it seemed imperative that the feedback occur quickly. I

believed that my traditional practice of assigning, collecting, grading, and then returning

homework assignments caused a delay in the necessary feedback process which consequently

affects student learning.

The innovation in this study was to change the method of homework delivery and

homework assessment. During the semester, students were required to complete part of their

homework assignments online and part of their homework traditionally. The homework

assignments, online and traditional, remained consistent with the requirements of the college but

varied in the number of open-ended questions and procedural knowledge questions. The online

homework was delivered by WebAssign and required that students receive the access code

bundled together with their textbook. Students were expected to complete their online

homework outside of class through WebAssign and submit this part electronically after

completion, giving them instant feedback.

While completing online homework, online supplements were available to students to

clarify misconceptions immediately. The available supplements were similar exercise problems

with guided procedure, video demonstrations, and an answer check. A traditionally assigned

homework set was turned in the following class period in which the assignment was given. The

assignment was then graded and returned the next class. At a minimum, two days elapsed from

the time the assignment was given until the time it was graded and returned. During each unit,

17

both in-class and online assessments were given. After completion of each unit, students were

given a unit test.

Design

This study relied on a mixed methods approach to data analysis. Using qualitative and

quantitative data collection methods provided the best data set in which to interpret students’

perceptions of online homework. By using Likert and Likert-type scales in the student

perception survey, I was able to compare results of the pre- and post-surveys to determine any

change in students’ perceptions. I also used threaded discussions in the online part of the course

to determine students’ perceptions of the available features of WebAssign. In addition, a

teacher’s journal was utilized to record observations, student concerns and comments throughout

the project to better understand students’ perceptions of online homework. Using a combination

of qualitative and quantitative data, I was able to gain a better understanding of students’

perceptions of supplemental online homework.

Description of Methods

Prior to beginning the study, I needed written consent from the college at which I teach

(see Appendix A) to allow the study to be conducted throughout the semester. I also obtained

written approval for this study through the Minot State University’s Institutional Review Board

(see Appendix B) and informed all participating students about the study. Students were

informed of the voluntary nature of the study and completed the student consent form (see

Appendix C). If students elected not to participate, then those students were excluded from all

data collection. Ethical considerations were made to ensure confidentiality of student

identification.

18

After the appropriate forms were completed, I administered a pre-survey (see Appendix

D) to determine students’ experience, understanding, and concerns for completing homework

online. This provided a summary of student concerns for the implementation of online

homework which allowed me to address those concerns at the beginning the study. The pre-

survey also served as a vehicle for comparing perceptions to the post-survey (see Appendix E) to

reveal any change in students’ perceptions of homework after using online homework in the

class. Students were reminded of their right to opt-out of the study. In such cases, those students

were excluded from all data collection.

During the course of the study, a teacher journal was kept to record student concerns and

any observations that were pertinent to the project. Students were also required to participate in

online threaded discussions as well as in-class discussions which also served as a vehicle to

observe students concerns and perceptions of online homework. At the conclusion of the action

research project, students completed the post-survey to measure any changes in student

perceptions of supplemental online homework.

All data collected excluded any identifying information. The pre- and post-surveys were

anonymous but required an identification number so that change in perceptions could be tracked.

The teacher journal recorded observations made from the in-class discussions, online threaded

discussions, and daily in-class observations.

Analysis Strategy

The data collection tools used in this study were pre- and post-surveys, and a teacher

journal. The data collection tools were used to help answer the research question: What are

students’ perceptions of supplemental online homework in an Applied Calculus class?

19

The pre-survey, given at the beginning of the semester, consisted of seven Likert-scale

questions followed by seven open-ended questions. Student responses to the Likert-scale

questions were coded numerically (Strongly Agree = 5, Agree = 4, No Opinion = 3, Disagree =

2, Strongly Disagree = 1). Negatively worded statements were used within the pre- and post-

surveys in order to reduce response bias and were reverse coded (Strongly Agree = 1, Agree = 2,

No Opinion = 3, Disagree = 4, Strongly Disagree = 5). Paired t-tests of dependent samples were

conducted on corresponding questions 1-7 on the pre- and post-surveys to determine if student

perceptions of homework changed over the course of the study. The null hypothesis was no

difference in student perceptions of homework from the beginning of the study to the end of the

study, d = 0, where d = post – pre. The alternative hypothesis was student perceptions changed

significantly over the course of the study, d ≠ 0. Analysis was done for each of the seven

questions at = 0.05.

The student responses to the open-ended questions allowed me to recognize and address

students’ concerns regarding online homework prior to implementation of supplemental online

homework. Additionally, the open-ended questions of the pre-survey allowed me to summarize

student experience regarding the use of online homework in previous classes.

In addition to the same 7 questions of the pre-survey, the post-survey had an additional

set of 11 Likert-scale questions as well as four open-ended questions. Post-survey results were

analyzed using descriptive statistics for the additional 11 Likert-scale questions.

Qualitative data collected using a teacher journal and the four open-ended questions of

the post-survey were summarized. Using inductive analysis, I summarized prevalent themes for

overall student perception in order to draw conclusions accordingly. By triangulation, I ensured

validity and compared my results to the conclusion from the quantitative analysis.

20

Expected Results

I hypothesized students would benefit from the guidance offered by the online software

during homework completion. I also anticipated that the instant feedback provided would help

correct misconceptions leading to an improved learning atmosphere. From past experience

utilizing online homework, I anticipated an initial reluctance in using the online environment by

students. I also expected technological difficulties along the way: lost Internet access, computer

crashes, etcetera. Despite the obstacles, I hypothesized students would perceive the use of online

homework as beneficial. I also hypothesized a significant change in students’ perceptions of

online homework after using online homework.

Timeline for the Study

This research study took place during the first eight weeks of the 16-week semester

beginning January 9, 2012. The semester was divided into four separate sections where students

completed a formal assessment at the conclusion of each section. Thus, students completed two

unit tests during the course of the study.

Summary

The action research study was completed in an Applied Calculus class to determine

students’ perceptions of online homework. The study relied on a mixed methods approach to

analyze data collected from pre- and post-surveys, teacher journal, and threaded discussion. The

results of my study are discussed next.

Chapter Four

Results and Interpretations

Students were given traditional and online homework assignments throughout the

semester in Applied Calculus. At the beginning of the semester students completed a pre-survey;

mid-semester students completed a post-survey. Throughout the semester students were engaged

in in-class discussions concerning their online homework. I recorded student comments and

concerns in my teacher’s journal. Additionally, students were required to contribute to an online

threaded discussion addressing concerns about the features of WebAssign. These comments

were also recorded in the teacher journal. In this chapter, the survey results are discussed as well

as teacher observations and student comments. The analysis of my research helped determine

student perceptions of online homework in an Applied Calculus class.

Results of Data Analysis

The pre-survey, given at the beginning of the semester, consisted of seven Likert-scale

questions followed by seven open-ended questions. The open-ended questions allowed me to

recognize student concerns regarding online homework. The open-ended questions and student

responses are summarized below.

Question 8: Describe your experience in taking classes online. Have you ever had a

traditional class where the homework was delivered online? If so, describe your impression of

the online homework. Most of students stated that they had some experience in taking classes

online, though several students did not clearly indicate if the class was an online class or a

traditional class with online supplements. A slight majority (58%) of the students had

experience in taking an on-campus class with online homework. Of the students with experience

completing online homework in a traditional on-campus class, most had a favorable opinion of

22

online homework. Several students commented that the online homework was easier to

complete than the traditional homework and cited the online environment as more convenient

when compared to the traditional textbook. Other students believed that more homework was

given when it was delivered online. About one-third (32%) of the students had no experience

with online homework in a traditional on-campus class. The minority of students (11%) had an

unfavorable opinion of online homework in an on-campus class. The opponents to online

homework in an on-campus class cited cost and computer access as a major impediment.

Question 9: Describe your experience with homework in a past math class. Have you

ever taken a math class where the instructor required the completion of web-based homework

(online homework)? If so, describe your feelings about the online homework. Why did you feel

that way? Only a small percentage (11%) of the students had online homework in a math class,

and their experiences were from completely online classes. None of the students had a previous

on-campus math class that utilized online homework.

Question 10: What concerns do you have about the use of online homework in this class?

About one-half (53%) of the students had concerns about the use of online homework in Applied

Calculus. Of the concerned students, most indicated that time was their number one concern,

followed by lack of assistance when working online. Other notable concerns were related to

online grading and computer-related malfunctions. Approximately one-half (47%) of the

students either had no concerns or were looking forward to the use of online homework.

The student responses to the open-ended questions of the pre-survey allowed me to

summarize student experience and concerns regarding the implementation of online homework

in their Applied Calculus class. It appeared that I was largely starting with a blank slate as none

23

of the students had online homework experience in an on-campus math class. I was able to

address the concerns immediately prior to the implementation of the online homework.

The seven pre-survey Likert-scale questions were compared to the same seven questions

on the post-survey. The post-survey had an additional set of 11 Likert-scale questions as well as

four open-ended questions. The results of the seven questions asked on both the pre- and post-

surveys are given in Tables 1 and 2. Results shown are rounded to the nearest tenth of a percent

in Table 1, and the nearest one-thousandth in Table 2. Student responses to the Likert-scale

questions were coded as indicated in parentheses in the response column of Table 1 (Strongly

Agree = 5, Agree = 4, No Opinion = 3, Disagree = 2, Strongly Disagree = 1). Negatively worded

statements were used within the pre- and post-surveys in order to reduce response bias and were

reverse coded (Strongly Agree = 1, Agree = 2, No Opinion = 3, Disagree = 4, Strongly Disagree

= 5).

After reviewing the data in Tables 1 and 2, it appeared that homework completion was

improved by the use of online homework. Also, it appeared that the online grading feature of

WebAssign enhanced students’ perception of timely feedback with respect to homework

assignments. Unfortunately, fewer students strongly agreed that completing homework gave

them a deeper understanding of the mathematical concepts of the class, and regrettably, mental

fatigue while completing homework was unchanged. Surprisingly, students expressed their

inability to find adequate assistance when completing the online homework and there was no

change in guessing at answers when completing the homework.

24

Table 1

Pre-Survey and Post-Survey Results (Questions 1-7)

Statement Response

Pre-Survey

(%) Post-Survey (%)

1. 1. I complete all of my

homework.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

26.3

63.2

10.5

0.0

0.0

68.4

21.1

10.5

0.0

0.0

2. 2. I feel mentally fatigued

while completing my

homework.

Strongly Agree (1)

Agree (2)

No opinion (3)

Disagree (4)

Strongly Disagree (5)

0.0

42.1

36.8

21.1

0.0

5.3

42.1

31.6

15.8

5.3

3. 3. When I am stuck on my

homework, I am able to find

assistance to help me complete

it.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

15.8

63.2

10.5

10.5

0.0

15.8

63.2

5.3

15.8

0.0

4. 4. I receive timely feedback on

all homework.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

10.5

42.1

31.6

15.8

0.0

42.1

47.3

0.0

10.5

0.0

5. 5. I am given opportunities to

learn from my homework

mistakes.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

26.3

31.6

31.6

10.5

0.0

36.8

31.6

21.1

10.5

0.0

6. 6. I often guess at my answers

when completing my

homework.

Strongly Agree (1)

Agree (2)

No opinion (3)

Disagree (4)

Strongly Disagree (5)

5.3

10.5

10.5

63.2

10.5

0.0

10.5

21.1

63.2

5.3

7. 7. Completing homework gives

me a deeper understanding of

the mathematical concepts of

the class.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

57.9

36.8

5.3

0.0

0.0

36.8

52.6

5.3

5.3

0.0

25

Table 2

Means and Standard Deviations of Pre- and Post-Surveys (Questions 1-7)

M SD

Question N

Pre-

Survey

Post-

Survey

Pre-

Survey

Post-

Survey

8. 1. I complete all of my homework. 19 4.158 4.579 0.602 0.692

9. 2. I feel mentally fatigued while completing

my homework.

19 2.790 2.737 0.787 0.991

3. When I am stuck on my homework, I am

able to find assistance to help me complete it.

19 3.842 3.789 0.834 0.918

4. I receive timely feedback on all homework. 19 3.474 4.211 0.905 0.918

5. I am given opportunities to learn from my

homework mistakes.

19 3.737 3.947 0.991 1.026

6. I often guess at my answers when

completing my homework.

19 3.633 3.632 1.012 0.761

7. Completing homework gives me a deeper

understanding of the mathematical concepts

of the class.

19 4.526 4.211 0.612 0.787

Paired t-tests of dependent samples were conducted on corresponding questions 1-7 on

the pre- and post-surveys to determine if student perceptions of homework changed over the

course of the study. The null hypothesis was no difference in student perceptions of homework

from the beginning of the study to the end of the study, d = 0, where d = post – pre. The

alternative hypothesis was student perceptions changed significantly over the course of the study,

d ≠ 0. Analysis was done for each of the seven questions at = 0.05. Significant changes were

found for questions 1 and 4, but no significant changes were found for questions 2, 3, 5, 6, and 7.

Results are listed in Table 3.

26

Table 3

Paired T-Test Results for the Pre- and Post-Surveys (Questions 1-7)

Difference Sample Difference Standard Error df t p

Post 1 – Pre 1 0.421 0.192 18 2.191 0.042*

Post 2 – Pre 2 -0.526 0.209 18 -0.252 0.804

Post 3 – Pre 3 -0.053 0.259 18 -0.203 0.841

Post 4 – Pre 4 0.737 0.295 18 2.501 0.022*

Post 5 – Pre 5 0.211 0.249 18 0.846 0.408

Post 6 – Pre 6 0.000 0.242 18 0.000 1.000

Post 7 – Pre 7 -0.316 0.172 18 -1.837 0.083 * Indicates significance at the α = 0.05 level.

Based on the p-values, there is sufficient evidence to support the claim that there is a

significant difference between student perceptions of homework on the pre- and post-surveys for

question 1 and question 4. Students rated these questions significantly higher on the post-survey.

Thus, over the course of the study, students’ perceptions about their completion of and timely

feedback on all homework improved.

The post-survey, given mid-semester, consisted of 18 Likert-scale questions followed by

four open-ended questions. The open-ended questions allowed students to summarize concerns

regarding online homework. The last 11 Likert-scale questions (8-18) on the post-survey were

given to determine student perceptions of online homework after using the online system

WebAssign. The results of the 11 questions asked on the post-survey are given in Table 4.

Results (percentages of respondents) shown are rounded to the nearest tenth of a percent. To

calculate the arithmetic mean of each statement, positive statements were coded as indicated in

the Response column (Strongly Agree = 5, Agree = 4, No Opinion = 3, Disagree = 2, Strongly

Disagree = 1) and reverse coded for negative statements (Strongly Agree = 1, Agree = 2, No

Opinion = 3, Disagree = 4, Strongly Disagree = 5). Thus, a larger mean value suggests a more

27

positive student perception. Mean Likert-Scale responses were rounded to the nearest

thousandth.

Table 4

Post-Survey Results (Questions 8-18)

Statement Response Post-Survey (%)

Mean Likert-

Scale Response

8. I complete all of my

homework when it is available

online.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

36.8

47.4

15.8

0.0

0.0

4.211

9. I complete all of my

homework when it is paper-

pencil based.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

36.8

31.6

21.1

10.5

0.0

3.947

10. I have trouble gaining

access to the Internet for

online homework.

Strongly Agree (1)

Agree (2)

No opinion (3)

Disagree (4)

Strongly Disagree (5)

0.0

5.3

5.3

26.3

63.2

4.474

11. The directions in the

online homework are

confusing.

Strongly Agree (1)

Agree (2)

No opinion (3)

Disagree (4)

Strongly Disagree (5)

5.3

15.8

15.8

31.6

31.6

3.684

12. The online grading is fair. Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

15.8

47.4

10.5

21.1

5.3

3.474

13. Online homework should

be used throughout this

course.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

31.6

36.8

21.1

5.3

5.3

3.842

28

Table 4

Continued

Statement Response Post-Survey (%)

Mean Likert-

Scale Response

14. I would like to use online

homework in all of my

classes.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

10.5

10.5

31.6

15.8

31.6

2.526

15. Computer glitches or

problems can affect my grade.

Strongly Agree (1)

Agree (2)

No opinion (3)

Disagree (4)

Strongly Disagree (5)

10.5

26.3

42.1

15.8

5.3

2.789

16. The online software offers

helpful guidance when I am

stuck on a problem.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

5.3

10.5

26.3

42.1

15.8

2.474

17. Paper-pencil homework

demands more critical

thinking than online

homework.

Strongly Agree (1)

Agree (2)

No opinion (3)

Disagree (4)

Strongly Disagree (5)

0.0

21.1

10.5

68.4

0.0

3.474

18. Online homework helps

me prepare for tests better

than traditional homework.

Strongly Agree (5)

Agree (4)

No opinion (3)

Disagree (2)

Strongly Disagree (1)

10.5

31.6

36.8

21.1

0.0

3.316

After reviewing the data in Table 4, it was apparent that more students were completing

all of their online homework than all of their paper-pencil based homework. Overall, students

did not find the directions in the online homework confusing and found that the online grading

was fair. Most students did not have trouble gaining access to the computer or have computer

glitches that affected their grades. Unfortunately, students did not find the online software

helpful in offering guidance during homework completion, nor did the majority of students find

that online homework helped them prepare for tests better than traditional homework. In spite of

29

that, the majority of students thought that online homework should be used throughout the

Applied Calculus class and many stated that they preferred online homework to traditional

homework. Surprisingly, the majority of students did not want to use online homework in all of

their classes.

The post-survey contained four open-ended questions with the purpose of summarizing

the students’ overall impressions of online homework. The questions and student responses are

summarized below.

Question 19: Do you believe that online homework helped you understand the concepts

of Applied Calculus? Explain why or why not. The majority of students stated that they believed

that online homework enhanced their understanding of the topics of Applied Calculus. Several

students cited their appreciation of the instant feedback offered by the online software. The

responses were not unanimous in support of online homework however. A few students voiced

their displeasure with the online homework. Their main concern was the time taken to complete

assignments. Interestingly, many students stated that the online homework was actually less

time consuming. Overwhelmingly, though, the students seemed to like the online homework and

endorsed its use.

Question 20: Do you prefer online homework over traditional homework? Explain why

or why not. Students were clearly divided here. Seven of the students preferred traditional

homework over online citing that the computer could not recognize correct, yet different,

answers. Twelve of the students stated that the instant feedback of the computer software helped

them to correct errors and proceed. The majority of students preferred online over traditional

homework.

30

Question 21: Do you believe online homework is worthwhile? Explain why or why not.

Again, students had strong opinions on this one. Four students did not find the online homework

worthwhile; 15 students found it helpful but with varying degrees. Overall, students believed

that online homework was worthwhile.

Question 22: What additional comments/concerns do you have? Many students

commented that the online tutors on WebAssign were of little help. Several students

recommended that the professor use online homework for all topics discussed and that all the

questions should have examples linked to them. Only a single student cited cost as a reason to

not use WebAssign.

Triangulating the results above with the threaded discussion and teacher’s journal, it

appears that students approved of the usage of online homework but were disappointed with

some of the guidance features of WebAssign. Notably, students commented that the online

tutors were inefficient in dealing with their specific questions, citing that it was too time-

consuming to join in the tutor help. Students overwhelmingly endorsed the show-me-another

version guidance feature of WebAssign as well as the available videos and recorded tutorials.

Interpretation of Results

The paired t-test results clearly indicated a change of student opinion regarding

homework completion and timeliness of feedback when comparing pre- and post-survey results.

Upon completion of the research, it was evident that students were in fact completing their

homework. Related to this result is the increase in positive experience of receiving timely

feedback. Surprisingly, the online software did not alleviate mental fatigue as students

completed their homework. Evidence collected by the research suggests that the online software

did not provide adequate assistance during homework completion. Related to this, students did

31

not find that they were learning from their mistakes. Consequently, students continued to guess

at answers at a similar rate of that of traditional homework. Students were asked to rate the level

of agreement to the statement, “Completing homework gives me a deeper understanding of the

mathematical concepts of the class” on both the pre- and post-surveys. Regrettably, the

percentage of students that agreed with the statement fell from 94.7% to 89.4% after the

implementation of online homework. In spite of those statistics, students responded favorably to

post-survey Question 19: Do you believe that online homework helped you understand the

concepts of Applied Calculus? Explain why or why not. The majority of students stated that

they believed that online homework enhanced their understanding of the topics of Applied

Calculus.

Examining mean Likert-scale response values for the post-survey revealed that students

were completing both online and traditional homework, had little trouble gaining access to

WebAssign, and preferred to use online homework throughout the semester. Interestingly,

students did not want to use online homework in other classes. Students did not find that the

online software offered them guidance through their homework, but overwhelmingly supported

its use.

I was quite surprised by student involvement regarding this action research. Many

students offered information about the online software that I was not aware of. For example,

students stated that, though the online tutors that were available 24 hours a day, a large wait time

was typical when approaching tutors for help. Initially, the students viewed the availability of

24-hours-a-day tutors favorably, but soon found it inefficient for specific assistance.

Additionally, I was impressed with how willingly students shared their successes and failures

32

with the online homework. Students also shared online homework strategies via online threaded

discussion with one another.

I expected students to appreciate the instant feedback, and they did. I expected students

to respond favorably to the guidance offered by the online software, but they did not. In fact,

overwhelmingly, students were not impressed with the online support offered by WebAssign.

Also, I expected students to feel less mentally fatigued when using WebAssign. Unfortunately,

the results suggest otherwise. Students were no less fatigued completing online homework.

I am very satisfied with the results of this project. I understand student perceptions of

online homework better than I did prior to the research and found some of my assumptions were

wrong. This was a successful Applied Calculus class. I have a greater percentage of students

that passed the class than previous semesters, though I did not intend to make that comparison as

part of this study.

Summary

Chapter Four offered the results of the implementation of online homework in an Applied

Calculus class and student perceptions of such implementation. Pre- and post-survey responses

were analyzed revealing insight to student perceptions of online homework. The conclusions of

the research, reflections, and recommendations are discussed in Chapter Five.

Chapter Five

Conclusions, Action Plan, Reflections, and Recommendations

The purpose of this study was to determine students’ perceptions of supplemental online

homework in an Applied Calculus class. Online software, WebAssign, was used in my class as a

supplemental homework delivery tool. Two surveys were given to the students; a pre-survey

was given at the beginning of the study, and a post-survey was given mid-semester at the

conclusion of the study. Overwhelmingly, students responded favorably to the use of online

homework. In this chapter, I discussed the findings of my study as well as my action plan and

recommendations for others considering the use of online homework.

Conclusions

At the beginning of the study students were asked about their experience and concerns

regarding online homework. The majority of students had some form of online homework

experience in a previous class, though no student in this study had experience using online

homework in an on-campus math class. The main student concerns prior to the study were

issues of time and availability of assistance during homework completion. Knowing these

concerns allowed me to address the issues of timeliness and online help prior to the

implementation of online homework. The WebAssign software estimated assignment

completion times and offered tutors via phone and reference to an e-book. I found that students

appreciated knowing how much time should be set aside for their homework. Students were not

satisfied with the available tutors through WebAssign however.

Students were also given seven identical Likert-scale questions on pre- and post-surveys.

The responses of the seven questions asked on both surveys served as a comparison between pre-

perceptions and post-perceptions. Paired t-tests of dependent samples suggested a significant

34

positive change from pre-survey to post-survey in student perception regarding homework

completion and timeliness of feedback. There were no statistically significant differences found

in student perceptions regarding mental fatigue, homework assistance, learning from mistakes,

and guessing at answers from pre-survey to post-survey. I was a little surprised that students did

not feel a decline in mental fatigue during homework completion while completing their

homework online. Perhaps the students’ poor perceptions of WebAssign’s online help

contributed to the lack of reduction in mental fatigue. It follows that guessing at answers would

contribute to a lesser understanding of the material.

Student perceptions regarding homework completion as giving a deeper understanding of

mathematical concepts actually decreased slightly according to the result of the paired t-test of

the pre- and post-survey question 7. However, this finding was contradictory to the student

responses from one of the four open-ended questions given on the post-survey, Question 19: Do

you believe that online homework helped you understand the concepts of Applied Calculus? The

majority of students stated that they believed that online homework enhanced their understanding

of the topics of Applied Calculus. Several students credited instant feedback offered by the

online software as helpful in enhancing their understanding.

The majority of students preferred online homework over traditional homework as

evidenced in the responses of post-survey Question 20: Do you prefer online homework

over traditional homework? Explain why or why not. Though most students preferred

online over traditional homework, many complaints were made about the computer’s

inability to recognize correct, yet different, answers.

Despite some the alleged deficiencies of online assistance, the majority of students found

the online homework worthwhile as indicated by the responses of Question 21: Do you believe

35

online homework is worthwhile? Overall, students believed that online homework was

worthwhile and wanted to continue its usage throughout this class. Issues of cost and computer

access were not significant.

The study was a success. Student perceptions regarding online homework were revealed,

and the students experienced success in learning the topics of Applied Calculus.

Action Plan

Based on the results of this study, I will use online homework again and am excited to

continue to work with the students in determining the best online platform. Though I have some

experience in teaching online classes, I have had little experience in using online homework

supplemental to my on-campus classes. I doubt that I used WebAssign to its full potential and

am eager to learn how to use it and other platforms more effectively.

Moving forward, I plan to use online homework in Applied Calculus again and am

currently working within my department’s Developmental Mathematics Committee to utilize

online software. As a result of the study, I am even more excited about the use of supplemental

online homework in all of my math classes. I will follow similar steps to this study in terms of

evaluating student concerns about the implementation of online homework at the beginning of

the semester. Students in this study seemed to appreciate addressing their concerns prior to

implementation, and I expect future students will too. Additionally, I will investigate the online

support features within the online homework delivery software thoroughly to ensure that is

supplies adequate assistance to the students during homework completion. I believe that

adequate assistance may be the key in reducing mental fatigue associated with homework

completion.

36

Reflections and Recommendations for Teachers

The study was a success and revealed students’ perceptions of online homework. Some

of the results were as expected while others were quite surprising. I expected homework

completion to increase and was eager to see how students reacted to the instant feedback. I

would say that the results were predictable and I am happy that the results for those items turned

out as they did. I was a bit disappointed that students did not perceive a reduction in mental

fatigue as a result of using the online homework, but I appreciate knowing this information. I

believe that supplemental online homework has the potential to reduce mental fatigue, but this

study did not reveal that. With additional assistance available during homework completion,

students may find navigating through the math concepts easier. Perhaps various links to specific

tutorial videos would help.

At the beginning of the study, I had intended to analyze the number of attempts made per

question per student to see if there was some connection to students’ perceptions of online

homework. During the study, however, I found that the number of attempts made per student per

question varied greatly. Upon further investigation, I discovered that many students opened up

the online homework, printed the assignment, left the online software open, and completed the

assignments using pencil and paper. This greatly exaggerated the time spent on the online

homework, but reduced the number of attempts. As a result, I decided to omit these data from

the study.

Knowing what I know now as a result of the study, I would change a few things when

implementing online homework in the future. I would supply a pre-survey as I did with this

study, but I would also schedule a day in the computer lab to help students familiarize

themselves with the online system. In this study, I had students self-enroll and learn the system

37

on their own. For some, this provided little challenge, but for others, this was quite stressful.

Removing the element of stress initially may have made the debut a little less abrupt. In this

study, I required students to participate in online threaded discussions and would continue to do

so in the future, but would require them weekly. Also, I would schedule more time for myself to

learn the system. In this study, I participated in a one-on-one tutorial offered by WebAssign.

This session was extremely helpful, but I did not participate in any follow-up tutorials, though

WebAssign was very willing to provide free assistance. I do believe that additional tutorials

would have allowed me to use the system nearer its potential. I have many friends and

colleagues that utilize online software to some degree in their classrooms. Though I did discuss

ideas with some of them, I may have been better served collaborating in more detail with all of

them as well as others in the profession.

My recommendation to all instructors is to implement supplemental online homework in

their classrooms. Students in the study completed the online homework, learned the material,

and endorsed its use. I also advise that instructors learn the system well in advance so that they

can take advantage of all the features of the online software. Additionally, take time at the

beginning of the semester to address student concerns and demonstrate the system with the

students. In addition, collaborate with others using online software to learn innovative ways of

unlocking its potential. Also, encourage students to collaborate by way of online threaded

discussions. Finally, I would suggest that, though implementing a new system will require

substantial work, it is worth it. I had never used supplemental online homework before in

Applied Calculus but am very satisfied that I took the plunge and tried it. It paid off, and I am

excited to use it in the future.

38

If an instructor is considering action research, I would encourage a thorough literature

review. At the beginning of my action research, I knew what topic I wanted to explore; that was

the easy part. I had never conducted action research but was eager to learn. Researching peer-

reviewed articles provided a framework of what was expected and offered examples of other

research. This information was pivotal in the implementation of my action research. By reading

what others had done, I was able to narrow my focus to the topics that I believed were most

important to my research. I have since researched other articles for topics outside of my study

and found that by knowing how to research and review available literature, I was able to make

well-informed decisions and had the statistics to support the decisions made. Reflecting on my

action research, I believe that the research itself was the easy part; conveying my message on

paper was the hardest part. The literature review, however, was the most important part.

Summary

The action research project really changed how I view teaching. Teaching is not static.

A teacher cannot simply create one successful set of lesson plans and recycle them indefinitely.

Teaching is dynamic, changing as fast as the world around does. The topic of my action research

was specific and useful, but it was the process of the action research that had the most profound

effect on me. I more clearly see the available literature and feel empowered to conduct my own

research now.

I wholeheartedly endorse action research as a means of improving both the classroom and

the instructor. My study permitted me to implement supplemental online homework and assess

student perceptions of its use. I found success in its implementation, but also recognized new

questions to be asked and researched. The specific successes found were increased homework

completion, better feedback for student work, and the endorsement from students about further

39

use of online homework. The questions requiring further research pertain to the reduction of

mental fatigue and obtaining a deeper understanding of the concepts of the class. Action

research is cyclical in nature. Once action research begins, it really never ends!

40

References

Alberts, H. M., Martijn, C., & de Vries, N. K. (2011). Fighting self-control failure: Overcoming

ego depletion by increasing self-awareness. Journal of Experimental Social Psychology,

47(1), 58-62. doi:10.1016/j.jesp.2010.08.004

Cox, T. B., & Singer, S. L. (2011). Taking work out of homework. Mathematics Teacher,

104(7), 514-519.

Demirci, N. (2007). Developing web-based homework system to evaluate students’ homework

performance and physics achievement. AIP Conference Proceedings, 899(1), 487-488.

doi:10.1063/1.2733249

Der Ching, Y., & Yi Fang, T. (2010). Promoting sixth graders’ number sense and learning

attitudes via technology-based environment. Journal of Educational Technology &

Society, 13(4), 112-125.

Dutton, J. C. (2001). WebAssign: A better homework tool. Retrieved from The Technology

Source Archives at the University of North Carolina Web site:

http://technologysource.org/article/webassign/

Hong, E., Peng, Y., & Rowell, R. (2009). Homework self-regulation: Grade, gender, and

achievement-level differences. Learning and Individual Differences, 19, 269-276.

Hong, E., Wan, M., & Peng, Y. (2011). Discrepancies between students and teachers perceptions

of homework. Journal of Advanced Academics, 22(2), 280-308.

Kodippili, A., & Senaratne, D. (2008). Is computer-generated interactive mathematics homework

more effective than traditional instructor-graded homework? British Journal of

Educational Technology, 39(5), 928-932.

41

Maloy, R. W., Edwards, S. A., & Anderson, G. (2010). Teaching math problem solving using a

web-based tutoring system, learning games, and students' writing. Journal of STEM

Education, 11(2), 82-90.

Mendicino, M., Razzaq, L., & Heffernan, N. (2009). A comparison of traditional homework to

computer-supported homework. Journal of Research on Technology in Education, 41(3),

331-359.

National Council of Teachers of Mathematics. (2012). The technology principle. Retrieved from

http://www.nctm.org/standards/content.aspx?id=26809

Price, D., & Yates, G. R. (2010). Ego depletion effects on mathematics performance in primary

school students: why take the hard road? Educational Psychology, 30(3), 269-281.

doi:10.1080/01443410903563330

Richards-Babb, M., Drelick, J., Henry, Z., & Robertson-Honecker, J. (2011). Online homework,

help or hindrance? What students think and how they perform. Journal of College

Science Teaching, 40(4), 81-93.

Slagter van Tryon, P. J., & Bishop, M. J. (2009). Theoretical foundations for enhancing social

connectedness in online learning environments. Distance Education, 30(3), 291-315.

WebAssign. (1997-2010a). How it works. Retrieved from http://www.webassign.net/

how_it_works/

WebAssign. (1997-2010b). Student support. Retrieved from http://www.webassign.net/

user_support/student/index.html

Weber, B., & Young, L. (2005). The effects of online homework within a college algebra course:

An action research project. Journal of Educational Computing, Design and Online

Learning, 6, 1-10.

Appendices

43

Appendix A

Consent of College

44

Appendix B

Minot State University IRB Consent Form

45

Appendix C

Student Consent Form

What are Students’ Perceptions of Supplemental Online Homework in an Applied Calculus

Class?

David Peterson

Invitation to Participate

You are invited to participate in a study of students’ perceptions of online homework in Applied

Calculus. Online homework software, WebAssign, provides guidance during homework

completion, instant feedback for submitted homework, and offers multiple attempts for

completing online homework. The study will examine students’ perceptions of online

homework. The study is being completed by David Peterson, Assistant Professor of

Mathematics at Bismarck State College, and a graduate student at Minot State University.

Basis for Subject Selection

You have been selected because you are in my Applied Calculus class. The Applied Calculus

class was chosen because the curriculum is appropriate for this study. If everyone agrees to

participate there will be approximately 25 students who meet the criteria for the study.

Purpose of the Research

I am currently completing work toward my Masters of Arts in Teaching: Mathematics degree

through Minot State University. For my final degree requirement, I am conducting an action

research project during the spring 2012 semester, January 11th

through March 2nd

. The purpose

of this study is to determine students’ perceptions of supplemental online homework in an

Applied Calculus class.

Specific Procedures

In this Applied Calculus class we will cover the normal Applied Calculus curriculum while

completing homework online as well as traditionally throughout the class. At the beginning of

the study, you will complete a pre-treatment student survey to assess current attitudes toward the

traditional and online homework. Throughout the semester, you will complete homework online

using WebAssign and also traditionally using textbook and paper. WebAssign is a web-based

homework assignment service that offers tutorial guidance during homework completion. I will

note the number of times you attempt each online homework problem to see if there is a

relationship between attempts and student perceptions of online homework. I will record student

concerns in a teacher-journal to monitor student perceptions of the online homework. At the end

of the eighth week of the semester, students will complete a survey to assess you current

46

attitudes toward the use of online homework. Survey responses, homework attempts, and my

observations will be analyzed to determine student perceptions of online homework. None of the

students in my class will be identified in my results. Mr. Daniel Leingang, Math and Computer

Technologies Department Chair – BSC, approved this research study.

Duration of Participation

You will be asked to complete two surveys in class during the duration of the study. The pre-

treatment survey will be given during the first week of the semester, January 13, 2012. You are

also expected to share concerns and comments regarding the use of online homework throughout

the study, which concludes at the end of the eighth week of the semester, March 2, 2012. At the

conclusion of the study, March 2, 2012, you will be asked to complete the post-treatment survey.

Benefits to the Individual

The study may show students’ perception of using supplemental online homework in an Applied

Calculus class. The results may be used to improve homework delivery practices thereby

promoting the learning experience in this class as well as others.

Risks to the Individual

The risks to the students are no more than he/she would encounter in a regular classroom setting.

Confidentiality

All data will be treated confidentially by the researcher. Names of participants and their data sets

will kept in a locked filing cabinet or password-protected computer in the researcher’s office and

will be destroyed once the paper has been defended and approved. The researcher agrees to

maintain strict confidentiality which means none of the students’ name will be discussed or

divulged with anyone outside of this research project. The researcher will also make sure

confidential information will not be discussed in an area that can be overheard that would allow

an unauthorized person to associate or identify the student with such information.

Voluntary Nature of Participation

During this study, your survey responses and scores do not have to be included. However, I hope

you are willing to participate in this study because a large sample size improves the accuracy of

the results of my study. If you decide to participate, you are free to withdraw your consent at any

time. If you do not consent or withdraw your consent, your data will not be included in my

results and you will not complete the surveys, but you will still be asked to complete the online

homework sets since these are a regular part of my course.

Human Subject Statement

The Institutional Review Board of Minot State University has given me permission to conduct

this research. If you have questions regarding the right of research subjects, please contact the

47

Chairperson of the MSU Institutional Review Board (IRB), Dr. Vicki Michels at 701-858-3594

or [email protected].

Offer to Answer Questions

If you have any questions or concerns now or during the study, feel free to contact me at 701-

224-2430 or email me at [email protected]. Thank you for your

consideration.

Consent Statement

You are voluntarily making a decision whether or not to participate in this study. With your

signature below, you are indicating that upon reading and understanding the above information,

you agree to allow your student’s survey and questionnaire results to be used in this study. You

will be given a copy of the consent form to keep.

___________________________________

Participant (Please Print Student’s Name)

___________________________________ __________________

Signature of Participant Date

___________________________________ __________________

Signature of Researcher Date

48

Appendix D

Student Perceptions of Online Homework Pre-Survey

The purpose of this survey is to help your instructor understand student perceptions of online

homework. It is designed for students with or without experience in the online environment.

Directions: The statements below pertain to homework in a mathematics class. Check only one

box that accurately reflects your opinion of the statement. Answer the questions that follow

honestly. All results are confidential. Do not sign your name on this document.

Survey Identification Number: *146-## *This number will match your Post-Survey.

Strongly

Agree

Agree No Opinion Disagree Strongly

Disagree

1. I complete all of my math

homework.

2. I feel mentally fatigued while

completing my homework.

3. When I am stuck on my

homework, I am able to find

assistance to help me

complete it.

4. I receive timely feedback on

all homework.

5. I am given opportunities to

learn from my homework

mistakes.

6. I often guess at answers when

completing my homework.

7. Completing homework gives

me a deeper understanding of

the mathematical concepts of

the class.

49

The following questions will be used to help determine students’ experience and concerns of online

homework. Responses are anonymous; please do not write your name on this questionnaire. Please

reply to the question honestly and thoughtfully.

8. Describe your experience in taking classes online.

a. Have you ever had a traditional class where the homework was delivered online?

b. If so, describe your impression of the online homework.

9. Describe your experience with homework in a past math class.

a. Have you taken a math class where the instructor required the completion of web-based

homework (online homework)?

b. If so, describe your feelings about the online homework.

c. Why did you feel that way?

10. What concerns do you have about the use of online homework in this class?

50

Appendix E

Student Perceptions of Online Homework Post-Survey

The purpose of this survey is to help your instructor understand student perceptions of online

homework. It is designed for students with experience in the online environment.

Directions: The statements below pertain to homework in a mathematics class. Check only one box

that accurately reflects your opinion of the statement. All results are confidential. Do not sign your

name on this document.

Survey Identification Number: *146-## *This number matches your Pre-Survey.

Strongly

Agree

Agree No Opinion Disagree Strongly

Disagree

1. I complete all of my math

homework.

2. I feel mentally fatigued while

completing my homework.

3. When I am stuck on my

homework, I am able to find

assistance to help me

complete it.

4. I receive timely feedback on

all homework.

5. I am given opportunities to

learn from my homework

mistakes.

6. I often guess at answers when

completing my homework.

7. Completing homework gives

me a deeper understanding of

the mathematical concepts of

the class.

51

Strongly

Agree

Agree No Opinion Disagree Strongly

Disagree

8. I complete all of my

homework when it is

available online.

9. I complete all of my

homework when it is paper-

pencil based.

10. I have trouble gaining access

to the Internet for online

homework.

11. The directions in the online

homework are confusing.

12. The online grading is fair.

13. Online homework should be

used throughout this course.

14. I would like to use online

homework in all of my

classes.

15. Computer glitches or

problems can affect my grade.

16. The online software offers

helpful guidance when I am

stuck on a problem.

17. Paper-pencil homework

demands more critical

thinking than online

homework.

18. Online homework helps me

prepare for tests better than

traditional homework.

52

The following questions will be used to help determine students’ overall impression of online

homework as it has been used in Applied Calculus. Responses are anonymous; please do not write

your name on this questionnaire. Please reply to the question honestly and thoughtfully.

19. Do you believe that online homework helped you understand the concepts of Applied Calculus?

Explain why or why not.

20. Do you prefer online homework over traditional homework? Explain why or why not.

21. Do you believe online homework is worthwhile? Explain why or why not.

22. Additional comments/concerns: