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EDTECH 503
Instructional Design Project
Coping with Mathematics Anxiety
Justin M. Keel
7/26/2012
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Table of Contents
Synthesis Reflection Paper ............................................................................................................. 4
Part 1Topic .................................................................................................................................. 5
Learning Goal .............................................................................................................................. 5
Audience Description .................................................................................................................. 5
Rationale...................................................................................................................................... 5
Part 2Assessment Report ............................................................................................................ 6
Needs Analysis Survey................................................................................................................ 6
Needs Analysis Data Reporting .................................................................................................. 6
Learning Context Description ..................................................................................................... 7
Transfer Context Description ...................................................................................................... 7
Description of the Learners ......................................................................................................... 8
Task Analysis Flowchart ............................................................................................................. 8
Part 3Planning ............................................................................................................................. 9
Learning Objectives .................................................................................................................... 9
Objectives Matrix ........................................................................................................................ 9
ARCS Chart............................................................................................................................... 11
Part 4Instructor Guide ............................................................................................................... 13
Introduction ............................................................................................................................... 13
Body .......................................................................................................................................... 14
Conclusion ................................................................................................................................. 16
Part 5Learner Content ............................................................................................................... 17
Learning Materials .................................................................................................................... 17
Assessment Materials ................................................................................................................ 17
Technology Tool Justification ................................................................................................... 17
Part 6Formative Evaluation Plan .............................................................................................. 18
Expert Review ........................................................................................................................... 18
One-to-One Evaluation ............................................................................................................. 18
Small Group Evaluation ............................................................................................................ 18
Field Trial .................................................................................................................................. 19
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Part 7Formative Evaluation Report .......................................................................................... 20
Evaluation Survey ..................................................................................................................... 20
Expert Reviewer Report ............................................................................................................ 20
Response to Review .................................................................................................................. 21
Part 8AECT Standards Grid...................................................................................................... 22
Professional Standards Addressed (AECT) .............................................................................. 22
Course Goals & Objectives ....................................................................................................... 23
AECT Standards (Applicable to EDTECH 503)....................................................................... 25
Appendix ....................................................................................................................................... 28
Appendix A ............................................................................................................................... 29
Needs Survey ........................................................................................................................ 29
Appendix B ............................................................................................................................... 31
Needs Assessment Data ........................................................................................................ 31
Appendix C ............................................................................................................................... 36
Student Worksheet ................................................................................................................ 36
Appendix D ............................................................................................................................... 38
Math Anxiety Plan ................................................................................................................ 38
Appendix E ................................................................................................................................ 39
References ............................................................................................................................. 39
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Synthesis Reflection Paper
Instructional design (ID) is a road. Like a road, instructional design is a tool to use to get from
your starting point to your destination. Continuing this metaphor, in instructional design, you
know where you are starting from, and you know what the end will be, but in order to get to your
destination, following a prescribed route is the most efficient method. This route is one of the
instructional design models. Just like the variety in directions to a location, there are a variety of
models an instructional designer can follow and still reach the destination.
Throughout this course, I have learned many things about the instructional design process. First,
that instructional design is a process that is used to improve instruction (Smith & Ragan, 2005, p.
8). ID isnt just a process to create a lesson, unit, course, or curriculum, but it is also the process
(tool) used to revise and improve the instruction. Another thing that stood out to me this
semester, was that although not formally trained in instructional design, I (and most of the class)
were using most of the major elements in the designing of our instruction. The formal
instructional design process gives us a way to communicate (using a standard language) our
design steps to another instructor or designer.
One of the main points that has challenged my traditional thinking was how we think about
student motivation. During our design project, we needed to look at student motivation
throughout the lesson. We needed to see what was going to get the students attention at the
beginning of the lesson (fairly common practice in basic education courses), but then we needed
to look at how we would keep the students attention/motivation through parts of the lesson, and
re-motivate the students if they lost motivation.
As an instructional designer and adjunct instructor, learning about the design process will greatly
relate to my current work. As new curriculums and lessons are designed, there are many
additional facts about the learners that need to be considered prior to creating the instructional
plan (and that plan must be based on your researched facts). I will encourage this type of
research, planning, and then reflection when dealing with staff members in each of our new
projects.
Smith, P. L., & Ragan, T. J. (2005).Instructional design. (3 ed., pp. 8). Hoboken, NJ: John
Wiley & Sons, Inc.
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Part 1 Topic
Learning Goal
During a one and one half hour workshop students will develop two strategies to cope with math
anxiety.
Audience Description
The audience will consist of college students who are currently enrolled in a developmental
mathematics course and receiving tutoring services.
Rationale
Students who are enrolled in developmental math courses at the post-secondary level have a very
low success rate (both at passing required math courses and receiving a degree). Often students
who are placed in developmental math courses have had previous bad experiences with
mathematics or mathematics courses and (because of those experiences) have developed anxiety
related to mathematics and testing.
The overall strategy used in this project will be supplantive. This strategy was chosen because of
the students being in a high-anxiety situation and a limited workshop time. By using a high level
of scaffolding in this workshop, the students will be more prepared to apply the knowledge
learned in the short workshop.
The major instructional strategy that will be used in this project is attitude. The major goal ofthis project is to develop math anxiety coping strategies. By learning and applying these
strategies, the students attitude will change, reducing the amount of anxiety and increasing their
confidence and learning. There will be no learning related to math content in this workshop.
Only learning related to how students approach math.
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Part 2 Assessment Report
Needs Analysis Survey
A paper and pencil survey was administered to 10 students in the Mathematics Tutoring Lab at
Allegany College of Maryland. These students were currently enrolled in a developmental
mathematics course and were receiving tutoring services for their math course. The survey
included questions adapted from Composite Math Anxiety Questions and The Math
Autobiography (Tobias, 1993). See Appendix A for the survey tool used.
Needs Analysis Data Reporting
When looking at the thoughts and attitudes of developmental mathematics students receiving
tutoring services, some patterns emerged when looking at some specific questions. Greater than
50% of the respondents indicated that math has always been their worst subject which would
indicate a rationale for the students being placed in a developmental math course. However,70% of the students indicated that they will need math for their future career and that math can
help them make a living. 50% of respondents indicated that mathematics is a subject that they
will constantly use.
There were a wide range of responses on the open response questions. Some respondents
indicated that math made them feel stupid or uneducated, while other respondents indicated that
math made them feel smart or like meditation. Another case of a wide range of responses was a
I don't think I could do advanced
mathematics.
Strongly Agree
Agree
Neutral
Disagree
Strongly Disagree
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question of previous math courses. Some students had previously completed a college algebra
course while others had only completed high school statistics or geometry. The variety of
answers in this section reflects the wide range of student ages, skills, and abilities in
developmental mathematics courses. For a complete listing of all the results and statistics from
the survey see Appendix B.
Learning Context Description
Allegany College of Maryland is a rural community college with an average full time enrollment
(FTE) of approximately 3,000 students. The mathematics department consists of 6 full time
faculty members and approximately 8 adjunct faculty members (depending on semester). The
mathematics department is in charge of administering 3 developmental level math courses in
addition to the college level math courses. Placement into these developmental courses is
accomplished by the Accuplacer placement test which is administered to all incoming
students. These development math courses consist of Pre-Algebra (MATH 83), BeginningAlgebra (MATH 90), and Intermediate Algebra (MATH 93). All are 3 credit courses.
The college currently has no curriculum for math anxiety workshops. However; the college does
operate a math tutoring lab and a math peer tutor program which is overseen by the Student
Success Center (SSC).
The workshop will be held in one of the classrooms with desks or tables arranged in a circle so
everyone can discuss easily. There will also be a limit of 10 participants to the workshop to
facilitate one-to-one interaction with all of the participants. A chalkboard, SMART board, or an
easel and pad will be available for the participants to record ideas to share with the larger group.Writing utensils, worksheets, and blank paper will also be needed as some students at this level
are often unprepared.
The instructor for this workshop will be required to be comfortable and knowledgeable about
mathematics. The instructor will also need a moderate knowledge of educational psychology
and knowledge of the colleges developmental mathematics curriculum.
Transfer Context Description
The transfer context will be a variety of locations including: the classroom, the testing lab, andanywhere the student studies. The student will be able to use the knowledge learned in this
workshop for all of his/her remaining developmental mathematics courses, any additional
required college level mathematics courses, and any program specific courses that require
mathematics knowledge and computation (for example all of our nursing courses require
medication calculation math exams as part of the course).
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Description of the Learners
The learners will be students who have been placed into one of the three developmental
mathematics courses and who are receiving tutoring services. The learners will be of varying
ages with the youngest potential students being 16 years old. The majority of students that
responded to the survey indicated that math has always been their worst subject, which is one
reason for their fear and anxiety toward the subject.
All of the learners will have taken some math courses in the past. Some have had previous
developmental college courses while some will only have had high school math courses. All of
the learners are receiving math tutoring services. This means they have already put extra effort in
improving their math knowledge and skills. These students will also have elected to participate
in this workshop so they will be self-identified as having math anxiety and are looking for
strategies to assist them with their mathematics coursework.
Task Analysis Flowchart
Math has always been my worst
subject.
Strongly Agree
Agree
Neutral
Disagree
Strongly Disagree
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Part 3 Planning
Learning Objectives
1. List 6 reasons students develop a fear of math
2. Evaluate personal math anxiety
3. Given a diagram, explain the Math Anxiety Process
4. Compare what "good" math students do differently
5. Explain positive self-talk and how it can be used to reduce anxiety
6. Describe how asking questions can increase your confidence while working on math
7. List 3 myths about learning math
8. Describe how facing and acknowledging anxiety helps overcome it
9. Analyze various anxiety coping strategies
10.Given a template, construct a personal plan on overcoming your math anxiety
Objectives Matrix
Learning
ObjectivesBlooms
Taxonomy
Classification
Format of
AssessmentDescription
of Test FormSampleItems
1 Knowledge Paper and
Pencil
Short Answer List reasons
students
develop a fearof math
2 Evaluation Performance Essay Give examplesof math
anxiety you
experience,your current
coping
strategies, and
your successwith those
strategies
3 Comprehension Paper and
Pencil
Short Answer Explain the
steps in the
Math Anxiety
Process
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4 Analysis Paper and
Pencil
Short Answer List the
differences of
what youobserve
good math
studentsdoing that youare not doing
5 Comprehension Paper andPencil
Short Answer Explainpositive self-
talk and how it
can be used to
reduce anxiety
6 Comprehension Paper and
Pencil
Short Answer Describe how
askingquestions can
increase your
confidencewhile working
on math
7 Knowledge Paper andPencil
Short Answer List mythsabout learning
math
8 Comprehension Paper and
Pencil
Short Answer How does
facing your
anxiety helpyou overcome
it?
9 Analysis Paper and
Pencil
Short Answer Pick 2 coping
strategies andshow how you
could use themin your current
math course
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10 Synthesis Performance Observation
with checklist
Construct a
personal plan
on overcomingyour math
anxiety
ARCS Chart
Attention
A.1Perceptual Arousal The instructor will discuss the meaning of math anxiety and how this
anxiety effects many students
A.2Inquiry Arousal The students will break into groups and discuss how each group
member feels about math
A.3Variability Throughout the workshop, the instructor will use examples about
math anxiety coping skills that directly relate to the feelings that
each group shared with the larger group
Relevance
R.1Goal Orientation At the beginning of the workshop, the instructor will share theexpectations and objectives of the workshop
R.2Motive Matching The students will choose which coping strategies will work best fortheir situation, and create a personal plan for using those strategies
R.3Familiarity The instructor will use what the students have already experienced in
past math courses when discussing anxiety coping strategies
Confidence
C.1LearningRequirements The instructor will share step-by-step examples of how to usemultiple anxiety coping strategies
C.2Success
Opportunities
The students will receive feedback on their anxiety and potential
coping strategies by the instructor and their small group members
C.3Personal Control At the end of the workshop, the students will use their newly
acquired knowledge to construct a personal plan to assist them incoping with math anxiety
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Satisfaction
S.1Natural
Consequences
The students will be able to apply their newly acquired coping skills
at the next meeting of their developmental math course
S.2Positive
Consequences
Decreased anxiety in math courses and increased math grades will
provide positive reinforcement of the math anxiety coping skillsS.3Equity Students who have completed the workshop and effectively usecoping skills will be asked to mentor students in the next anxiety
workshop
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Part 4 Instructor Guide
Introduction
This workshop will be taught in a single 1.5 hour session. It is best to limit the workshop to 10
people and use a room that can be configured with groups of desks or separate tables for small
group discussions.
Gain Attention
The instructor will begin by asking students how they feel about math and their previous math
classes. The instructor may need to ask mare leading questions including How do you feel
when the instructor is teaching a new math concept? How do you feel when you are home alone
working on math homework? How do you feel when you are preparing to take a math test? The
instructor will need to take the time to listen to each of the answers provided and document them
on the chalkboard or pad and easel.
Establish Purpose
Inform the students that through this workshop they will learn several things they can do to help
them cope with their feelings and anxieties about math. They may not need or use every
strategy, but they will be about to pick the one(s) that work best for their situation and create a
plan to cope with their math anxiety.
Arouse Interest
The students for this workshop have chosen to participate in the workshop and will be in a group
that has been identified as having math anxiety (in a developmental math course and receivingtutoring services). In this, they have already demonstrated interest in this topic. To peak their
interest, use some of the examples of feelings the students have already shared. (For example, if
a student stated that their heart races, they start to sweat, and their mind goes blank when they
have a math test, you may say How would you like to be able to reduce or control your
anxiety by calming yourself down so you could record on the test what you have learned?)
Provide Overview
The instructor should provide a brief overview of the topics the workshop will cover including:
Where math anxiety comes from, thinking about how we think, talking about math, and myths
about learning math.
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Body
Prior Knowledge
Have the students break into small groups and answer the following questions. When did I start
disliking (or feeling anxious about) math? What caused me to start disliking (or feeling anxious
about) math? What do good students do in math class that I dont do? Have them record theiranswers on the worksheet (worksheet attached in appendix).
Present Information
For the information presentation, use the examples from the students as you are presenting each
topic.
1. Forgetting the past: myths about learning math
a. Read the following statements to students and have them state if they are true or
false.
i. Males are better at math than females because males are more analytical.
ii. Math is logical, not creative.
iii. There is a best way to do every math problem
iv. The most important thing in math is to get the answer correct.
v. Its bad to count on your fingers.
vi. Real mathematicians do math quickly in their heads.
vii. Some people just get math and some dont.
viii. Math is done by working intently until the problem is solved.
All of those statements are FALSE! The instructor should briefly explain why all of the
statements are false. If unsure, consultMind over Math, full citation provided in appendix
(Kogelman & Warren, 1978).
2. Talking about math
a. The instructor will ask the students if they talk to their instructors, friends, or
family about math. One key to learning math and overcoming anxieties is to talk
about math. Not simply I dont like math, but about the content. The best math
students are the ones who ask questions! Not only in class, but after class. These
students ask instructors, friends, family, and even tutor questions about math.
When you ask a question, you get an answer! Learning and doing math is all
about confidence, the more you talk about and discuss it, the more confident you
will become.
3. Thinking about thinking
a. Panicking during tests or homework
The instructor will discuss one strategy suggested byMind over Math(Kogelman & Warren,
1978) is to allow panic time. If you typically panic during a math test, schedule panic time. The
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author of the text mentions that he always scheduled 5 minutes of panic time at the beginning of
a test. For the first five minutes of the test he let his thoughts wander wherever, then, after five
minutes, he would begin to take the test. This strategy allowed him to relax some before taking
the test.
i. Another strategy is (near the end of the panic time) to take a few deepabdominal breaths to increase oxygen to the body and allow the muscles to
relax.
b. Positive self-talk
i. The instructor will ask the students, do you find yourself having
conversations with yourself while you are doing math? Do most of the
conversations have statements like: I never could do math, I hate
math, Im stupid, or Everyone else knows how to do this but me.
ii. One strategy to overcome this is to use positive self-talk or positive
reversal statements. This is accomplished by identifying what negative
junk you are saying to yourself (usually best done by writing it down) and
then positively reversing the statements. For example instead of saying I
feel overwhelmed, you can say I can do this one step at a time.
Another strategy to stop negative self-talk to yell STOP in your mind and then say calm. If you
do this, it will give your mind a chance to get a short break from the negative junk and help you
regulate your self-talk. (Arem, 1993)
Practice
The instructor will give the students a few minutes to write down strategies that they may useand questions that they may have about those (or any additional) strategies. The students will
then take these strategies and create a plan to cope with math anxiety.
Provide Feedback
The instructor will briefly review the plans as he/she roams around the room. Students should
also be receiving feedback from others in their small group.
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Conclusion
Summarize and Review
The instructor will briefly summarize the coping strategies discussed in the workshop.
Provide Remediation and Closure
The instructor will once again answer questions from the workshop students. The instructor will
advise the students to put a copy of their plans in their math book to remind them of these
strategies in class and when working on homework.
Assess Learning
The students will be asked to provide the instructor and their tutor with a final copy of their
coping plan. (The tutor will assist them in being accountable to their plan)
Feedback and Remediation
The instructor will review all of the plans and offer (with comments) positive feedback about
each plan. The instructor will also offer additional suggestions for the student to include in their
plan. For remediation, the instructor will include information about additional workshops when
returning plans to students.
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Part 5 Learner Content
Learning Materials
The learning material for this workshop is a single student worksheet. This worksheet is
intended for the students to fill out ideas and questions during the discussions. Ideas from this
worksheet will then be used to complete the math anxiety plan. This worksheet is available in
Appendix C.
Assessment Materials
The math anxiety plan will be used as the assessment of this workshop. The instructor will
receive a copy of this plan at the end of the workshop and then return it to the student with
comments and suggestions. It is also suggested that the instructor conduct short interviews with
the students at the end of the semester to further assess the effectiveness of the workshop. TheMath Anxiety Plan Template is available in Appendix D.
Technology Tool Justification
There are no technology tools required for this workshop.
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Part 6 Formative Evaluation Plan
Expert Review
Mrs. Shirley Wilson a staff member from Allegany College of Marylands Student Success
Center will serve as my subject matter expert. As part of Mrs. Wilsons position, she oversees
all tutors and tutoring labs (including math tutors and the math tutoring lab). Mrs. Wilson is also
in charge of meeting with students and selecting one-to-one tutors with those meeting the
qualifications. The materials were delivered to Mrs. Wilson on July 19, 2012. The review was
complete on July 26, 2012.
One-to-One Evaluation
The one-to-one evaluation will be completed by selecting three students from the applicable
group to volunteer to evaluate the material. I will then lead the workshop to these three students.In this phase, the following questions will be answered.
Do the students understand the directions for the activities and the group discussions?
Are the students able to complete the personal plan with limited additional instructions?
Do the students feel the presented information will assist them in their math classes?
Small Group Evaluation
The small group evaluation will be completed by selecting a developmental mathematics
instructor or appropriate student success personnel conduct the workshop with three (different)
selected students from a group that matches the workshop description. During the small group
evaluation, the following questions will be answered.
Is the instructor able to effectively follow the instructor's guide?
Do the changes made after the one-to-one evaluations have the desired effect?
Is the workshop too short/long for the 1.5 hr. timeframe?
Is the content on a level the students could understand and use?
Do the students already possess the information presented?
Do the students feel the knowledge gained was valuable and useable?
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Field Trial
In the context of the field trial, the instructor will be selected from the developmental math
faculty or appropriate student success personnel. The instructor will conduct the full workshop
including ten students selected from volunteers from a group that matches the workshop
description. During the field trial, the following questions will be answered.
Do the changes made during the small group evaluation have the desired effect?
Is the instructor able to implement the workshop as designed?
Did students show up for the workshop?
Did the workshop maintain its 1.5 hr timeframe?
Did the students feel the instruction was something they could use?
Did the instructor feel the students were grasping the coping strategies?
What (if any) changes did the instructor make in the content or the way the plan
presented material?
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Part 7 Formative Evaluation Report
Evaluation Survey
When the project was submitted to the subject matter expert (SME), the following questions
were asked.
Are the learning objectives clear (please explain)?
Is the instructors manual laid out in a clear manner (please explain)?
Do you feel the coping strategies presented will assist the students with their math
coursework (please explain)?
Do you feel there are other strategies that should be included (please explain)?
Do you feel the students will be able to complete an effective plan using the
worksheet (please explain)?
Expert Reviewer Report
Are the learning objectives clear (please explain)?
The learning objectives indicated for this mathematic research project are clear and precise.
They take place in an order that a student would come in contact with them. There is no learning
objectives listed that would not occur or has not occurred for students. These learning objectives
are assessed in a manner that allows students to feel comfortable in taking part in the assessment
process.
Is the instructors manual laid out in a clear manner (please explain)?
The instructors manual is definitely designed in a clear manner. Each section is categorized in a
fashion that helps the reader understand what function is taking place in each section. Within the
statement of elaboration, each category is explained in detail and gives the reader an exact
insight to how the operation of the category is going to occur.
Do you feel the coping strategies presented will assist the students with their math
coursework (please explain)?
Talking about math, thinking about thinking, and positive self-talk are great coping strategies formathematics. The more a student can discuss their math anxiety with their instructor and other
students, who are having math anxiety as well, the easier it will be for the student to understand
and take control of their own math anxiety.
Mind over matter is excellent in coping with situations, especially anxiety. Once the student
becomes aware of their negative motivator they will be able to detain what triggered the
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negativity and turn into a positive motivator. When a person can stop and regroup, the situation
is no longer a situation but an activity to be completed. Positive thinking is not only a coping
strategy for math anxiety, but is also a self-esteem builder.
Do you feel there are other strategies that should be included (please explain)?
There are two simple strategies that should be included within this research. One strategy is
small study sessions each night. Explain to students the importance of going over the days
material each night for at least 10 minutes. The review of material and notes should take place
30 minutes to an hour after all assignments are completed. This will give the student a fresh
insight to the material and the completed assignment. Another strategy, which can be the most
beneficial, is a good night sleep before the exam or major assignments. Once the body is rested
and the mind is clear, anxiety can become less prominent
Do you feel the students will be able to complete an effective plan using the worksheet
(please explain)?
By using the provided worksheet, students will be able to complete an effective plan. The
worksheet allows students to find their own anxiety trigger. The worksheet contains questions
that spark the student to ponder and do a self-evaluation regarding their anxiety about
mathematics. Once the student completes their self-evaluation, they are able to find the right
coping strategies for them.
Response to Review
Overall the review from the SME validated most of the research that I had completed. In thenext revision of this workshop, I will include a section on studying to assist in decreasing anxiety
as recommended by the SME.
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Part 8 AECT Standards Grid
Professional Standards Addressed (AECT)
The following standards, developed by the Association for Educational Communications and
Technology (AECT), and used in the accreditation process established by the National Council
for Accreditation of Teacher Education (NCATE), are addressed to some degree in this course.
The numbers of the standards correspond to the numbers next to the course tasks show on the list
of assignments. Not all standards are addressed explicitly through student work.
Assignments meeting standard in whole or part
Standard 1: DESIGN
1.1 Instructional Systems Design (ISD) X ID Project
1.1.1 Analyzing X ID Project
1.1.2 Designing X ID Project
1.1.3 Developing X ID Project
1.1.4 Implementing X ID Project1.1.5 Evaluating X Selected Discussion Forums; ID Project
1.2 Message Design
1.3 Instructional Strategies X ID Project
1.4 Learner Characteristics X ID Project
Standard 2: DEVELOPMENT
2.0 (includes 2.0.1 to 2.0.8) X ID Project
2.1 Print Technologies X Reading Quiz; ID Projects
2.2 Audiovisual Technologies
2.3 Computer-Based Technologies X (all assignments)
2.4 Integrated Technologies
Standard 3: UTILIZATION
3.0 (includes 3.0.1 & 3.0.2)
3.1 Media Utilization X (all assignments)
3.2 Diffusion of Innovations3.3 Implementation andInstitutionalization X
ID Project
3.4 Policies and Regulations
Standard 4: MANAGEMENT
4.0 (includes 4.0.1 & 4.0.3)
4.1 Project Management
4.2 Resource Management4.3 Delivery System Management
4.4 Information Management
Standard 5: EVALUATION
5.1 Problem Analysis X
5.2 Criterion-Referenced Measurement X ID Project
5.3 Formative and Summative Evaluation X ID Project
5.4 Long-Range Planning
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Course Goals & Objectives
The overall goal for the course is for each student to consider and use the systematic process of
instructional design to create an instructional product. To achieve this goal, students will engage
in activities that promote reflective practice, emphasize realistic contexts, and employ a numberof communications technologies. Following the course, students will be able to:
1. Discuss the historical development of the practice of instructional design with regard tofactors that led to its development and the rationale for its use
2. Describe at least two reasons why instructional design models are useful
3. Identify at least six instructional design models and classify them according to their use
4. Compare and contrast the major elements of three theories of learning as they relate toinstructional design
5. Define instructional design.
6. Define the word systematic as it relates to instructional design
7. Define learning and synthesize its definition with the practice of instructional design
8. Relate the design of instruction to the term educational (or instructional) technology
9. Describe the major components of the instructional design process and the functions ofmodels in the design process
10. Provide a succinct summary of various learning contexts (declarative knowledge,conceptual, declarative, principle, problem-solving, cognitive, attitudinal, and
psychomotor)
11. Build an instructional design product that integrates major aspects of the systematicprocess and make this available on the web.
a. Describe the rationale for and processes associated with needs, learner, context,goal, and task analyses
i. Create and conduct various aspects of a front-end analysis
ii. Identify methods and materials for communicating subject matter that arecontextually relevant
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b. Describe the rationale for and processes associated with creating designdocuments (objectives, motivation, etc.)
i. Construct clear instructional goals and objectives
ii. Develop a motivational design for a specific instructional task
iii. Develop assessments that accurately measure performance objectives
c. Select and implement instructional strategies for selected learning tasks
i. Select appropriate media tools that support instructional design decisions
d. Describe the rationale and processes associated with the formative evaluation ofinstructional products
i. Create a plan for formative evaluation
12. Identify and use technology resources to enable and empower learners with diversebackgrounds, characteristics, and abilities.
13. Apply state and national content standards to the development of instructional products
14. Meet selected professional standards developed by the Association for EducationalCommunications and Technology
15. Use various technological tools for instructional and professional communication
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AECT Standards (Applicable to EDTECH 503)
1.0 Design
1.1 Instructional Systems Design
1.1.a Utilize and implement design principles which specify optimal conditions for learning.
1.1.b Identify a variety of instructional systems design models and apply at least one model.
1.1.1 Analyzing
1.1.1.a Write appropriate objectives for specific content and outcome levels.
1.1.1.b Analyze instructional tasks, content, and context.
1.1.2 Designing
1.1.2.a Create a plan for a topic of a content area (e.g., a thematic unit, a text chapter, an interdisciplinary
unit) to demonstrate application of the principles of macro-level design.
1.1.2.b Create instructional plans (micro-level design) that address the needs of all learners, including
appropriate accommodations for learners with special needs.
1.1.2.d Incorporate contemporary instructional technology processes in the development of interactive
lessons that promote student learning.
1.1.3 Developing
1.1.3.a Produce instructional materials which require the use of multiple media (e.g., computers, video,
projection).
1.1.3.b Demonstrate personal skill development with at least one: computer authoring application, video
tool, or electronic communication application.
1.1.4 Implementing
1.1.4.a Use instructional plans and materials which they have produced in contextualized instructional
settings (e.g., practica, field experiences, training) that address the needs of all learners, including
appropriate accommodations for learners with special needs.1.1.5 Evaluating
1.1.5.a Utilize a variety of assessment measures to determine the adequacy of learning and instruction.
1.1.5.b Demonstrate the use of formative and summative evaluation within practice and contextualized
field experiences.
1.1.5.c Demonstrate congruency among goals/objectives, instructional strategies, and assessment measures.
1.3 Instructional Strategies
1.3.a Select instructional strategies appropriate for a variety of learner characteristics and learning
situations.
1.3.b Identify at least one instructional model and demonstrate appropriate contextualized application
within practice and field experiences.
1.3.c Analyze their selection of instructional strategies and/or models as influenced by the learning
situation, nature of the specific content, and type of learner objective.
1.3.d Select motivational strategies appropriate for the target learners, task, and learning situation.
1.4 Learner Characteristics
1.4.a Identify a broad range of observed and hypothetical learner characteristics for their particular area(s)
of preparation.
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1.4.b Describe and/or document specific learner characteristics which influence the selection of
instructional strategies.
1.4.c Describe and/or document specific learner characteristics which influence the implementation of
instructional strategies.
2.0 Development
2.0.1 Select appropriate media to produce effective learning environments using technology resources.
2.0.2 Use appropriate analog and digital productivity tools to develop instructional and professional
products.
2.0.3 Apply instructional design principles to select appropriate technological tools for the development of
instructional and professional products.
2.0.4 Apply appropriate learning and psychological theories to the selection of appropriate technological
tools and to the development of instructional and professional products.
2.0.5 Apply appropriate evaluation strategies and techniques for assessing effectiveness of instructional and
professional products.
2.0.6 Use the results of evaluation methods and techniques to revise and update instructional and
professional products.2.0.7 Contribute to a professional portfolio by developing and selecting a variety of productions for
inclusion in the portfolio.
2.1 Print Technologies
2.1.3 Use presentation application software to produce presentations and supplementary materials for
instructional and professional purposes.
2.1.4 Produce instructional and professional products using various aspects of integrated application
programs.
2.3 Computer-Based Technologies
2.3.2 Design, produce, and use digital information with computer-based technologies.
3.0 Utilization
3.1 Media Utilization
3.1.1 Identify key factors in selecting and using technologies appropriate for learning situations specified in
the instructional design process.
3.1.2 Use educational communications and instructional technology (SMETS) resources in a variety of
learning contexts.
3.3 Implementation and Institutionalization
3.3.1 Use appropriate instructional materials and strategies in various learning contexts.
3.3.2 Identify and apply techniques for integrating SMETS innovations in various learning contexts.3.3.3 Identify strategies to maintain use after initial adoption.
4.0 Management
(none specifically addressed in 503)
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5.0 Evaluation
5.1 Problem Analysis
5.1.1 Identify and apply problem analysis skills in appropriate school media and educational technology
(SMET) contexts (e.g., conduct needs assessments, identify and define problems, identify constraints,
identify resources, define learner characteristics, define goals and objectives in instructional systems
design, media development and utilization, program management, and evaluation).5.2 Criterion-referenced Measurement
5.2.1 Develop and apply criterion-referenced measures in a variety of SMET contexts.
5.3 Formative and Summative Evaluation
5.3.1 Develop and apply formative and summative evaluation strategies in a variety of SMET contexts.
SMET = School Media & Educational Technologies
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Appendix
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Appendix A
Needs SurveyThe survey below is anonymous. Please answer the questions below truthfully and to the best of your ability. The
results of the survey will be used to determine the need for instruction on math anxiety in the developmental
mathematics student.
Composite Math Anxiety Questions*
For each statement below, mark a number 1-5 which indicates you strongly agree (1) or strongly
disagree (5)
I am usually at ease in math class. 1 2 3 4 5
Mathematics is a subject I will rarely use. 1 2 3 4 5
Im no good at math. 1 2 3 4 5
I need mathematics for my future career 1 2 3 4 5
I am happy when I get good grades in math 1 2 3 4 5
I dontthink I could do advanced mathematics 1 2 3 4 5
My mind goes blank and I am unable to think clearly
when working on math.1 2 3 4 5
Knowing math will help me earn a living. 1 2 3 4 5
Math has always been my worst subject. 1 2 3 4 5
Math doesnt scare me at all. 1 2 3 4 5
Additional Questions*
Finish the following sentences below. You may use the back of this form if you need additional
space.
The last math class I took was
My favorite math teacher was _______________ because he/she
To improve my math performance I could
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When I make a mistake on a math problem I
One thing I like about math is
Doing math makes me feel
*Composite Math Anxiety Questions adapted from the Fennema-Sherman Mathematics Attitude
Scale. Additional Questions were adapted from "The Math Autobiography" - Tobias, Sheila.
(1993.). Overcoming math anxiety.New York : W.W. Norton.
You may use the space below for any additional comments
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Appendix B
Needs Assessment Data
These questions and responses are from the Composite Math Anxiety Questions. These
questions were answered using a liker scale with 1 representing strongly agree and 5 representing
strongly disagree.
1. I am usually at ease in math class.Of the survey recipients 10% Agreed, 50% responded Neutral, 20% Disagreed, and 20%
Strongly Disagreed. Statistics of responses Mean: 3.5: Median: 3; Mode 3
2. Mathematics is a subject I will rarely use.Of the survey recipients 20% responded Neutral, 30% Disagreed, and 50% Strongly Disagreed.
Statistics of responses Mean: 4.3; Median: 4.5; Mode: 5
3. Im no good at math.Of the survey recipients 10% Strongly Agreed, 10% Agreed, 40% responded Neutral, 20%
Disagreed, and 20% Strongly Disagreed. Statistics of responses Mean: 3.3; Median: 3; Mode 3
4. I need mathematics for my future career.Of the survey recipients 70% Strongly Agreed, and 30% responded Neutral. Statistics of
responses Mean: 1.6; Median: 1; Mode 1
5. I am happy when I get good grades in math.Of the survey recipients 100% Strongly Agreed. Statistics of responses Mean: 1; Median: 1;
Mode 1
6. I dont think I could do advanced mathematics.Of the survey recipients 30% Strongly Agreed, 10% Agreed, 30% responded Neutral, and 30%
Disagreed. Statistics of responses Mean: 2.6; Median: 3; Mode 1, 3, 4
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7. My mind goes blank and I am unable to think clearly when working on math.Of the survey recipients 10% Strongly Agreed, 30% Agreed, 20% responded Neutral, 30%
Disagreed, and 10% Strongly Disagreed. Statistics of responses Mean: 3; Median: 3; Mode: 2, 4
8. Knowing math will help me earn a living.Of the survey recipients 70% Strongly Agreed, 20% responded Neutral, and 10% Disagreed.
Statistics of responses Mean: 1.7; Median: 1; Mode: 1
9. Math has always been my worst subject.Of the survey recipients 70% Strongly Agreed, 10% responded Neutral, and 20% Strongly
Disagreed. Statistics of responses Mean: 2; Median: 1; Mode 1
I don't think I could do advanced
mathematics.
Strongly Agree
Agree
Neutral
Disagree
Strongly Disagree
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10.Math doesnt scare me at all.Of the survey recipients 10% Agreed, 40% responded Neutral, 20% Disagreed, and 30%
Strongly Disagreed. Statistics of responses Mean: 3.7; Median: 3.5; Mode: 3
The following questions were open response. Not all of the questions were answered by every
participant. The responses are the words of the respondents.
11.The last math class I took was
College Algebra
Pre-Algebra
College Algebra
Pre-Algebra
Intermediate Algebra
Probability and Statistics
College Algebra
Geometry
12.My favorite teacher Was Very Structured
Was very patient with all students and took the time to answer questions
Used examples and explained things well
Was fun to listen to
Helps me understand better
Math has always been my worst subject.
Strongly Agree
Agree
Neutral
Disagree
Strongly Disagree
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Explains things very well and is always willing to help
Listened to my problems
13.To improve my math performance I could Practice, Practice, PracticeSpend more time with a tutor
Get a teacher that would explain it better
Take more math classes
Study more
Continue to come to the math tutoring lab
Get a tutor
Review flash cards
Practice more
Study more
14.When I make a mistake on a math problem I Panic and get myself confused
Blank
Try again and/or ask for help
Get disappointed because I want to know how to solve the problem
Redo it and study from it
Erase it and do a different problem, then come back to it
Dont want to do it anymore
Like to go back and see where I went wrongI correct it and practice the correct way to do the math problem
15.One thing I like about math is It is great for brain health, especially for older people
Learning something new all the time
Doing the calculations
Numbers
Nothing
Solving
Knowing the answer
How it makes me use my mind. I feel very accomplished after solving a difficult problem.
16.Doing math makes me feel Good
Stupid
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Smart (when I get it)
Uneducated (because I cant figure it out)
Very good
Anxious!
Stupid
Very good!
Focused and calm, like doing meditation
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Appendix C
Student Worksheet
Name:__________________________________
Use this worksheet to record your answers during the group discussionand to take notes during the workshop,
When did I start disliking (or feeling anxious about) math?
What caused me to start disliking (or feeling anxious about) math?
What do good students do in math class that I dont do?
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Anxiety Coping Techniques
What strategies fit with my situation? What questions do I have?
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Appendix D
Math Anxiety Plan
Math Anxiety PlanName:________________________________________
Create your plan using at least 3 statements in the following format. You will need to sign yourname at the bottom of the page to show your commitment to following your plan.
When I feel . I will
(Example: When I feel panic when taking a math test, I will give myself 5 minutes of panic time
before I clear my head and begin the test.)
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Appendix E
References
Arem, C. (1993). Conquering Math Anxiety: A Self-Help Workbook.Belmont: Wadsworth.
Kogelman, S., & Warren, J. (1978).Mind Over Math.New York: McGraw-Hill.
Smith, P., & Ragan, T. (2005).Instructional Design.Hoboken: Wiley.
Tobias, S. (1993). Overcoming Math Anxiety.New York: W. W. Norton.