ExploringMiddleSchoolMathematicswith*NintendoWii ...

Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012

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Christina Gawlik, Ph.D [email protected] Saint Xavier University Description: Engaging students in meaningful and fun mathematics can be accomplished using the Nintendo Wii™ through interdisciplinary units and differentiated instruction for grades 6-‐8. Come participate in lessons using the Wii™, discussion of managing all class sizes, diverse learners, teachable moments, and preparing students for high stakes tests.

Lesson 1 – The Baseball Investigation One student at a time will practice hitting 10 consecutive baseballs. Awaiting students will cheer on their classmates and record data such as distance, speed, and type of ball hit. Analysis of data will include determining the percentage of each type of ball hit (foul balls, base hits, home runs, strikes), and create a circle graph representing the class data. Moreover, students will determine the average speed of balls hit per person and as a class. Lesson 2 – The Power Throw Bowling Investigation Students will bowl 10 rounds within the Power Throw training session, where the number of pins increases each round. Students will describe and create an expression for the pattern of increasing pins, as well as predict outcomes and calculate the maximum possible score. Data will later be transferred into scatter plots and line plots. Lesson 3 – The Ball Return Tennis Investigation Students will record the total number of balls returned during the training session called Returning Balls. Class data will be analyzed to determine central tendencies, and five-‐number summary to create a box-‐and-‐whisker and line plots. Additional Lesson Titles Lesson 4 – The Tennis Tournament Investigation Lesson 5 – The Golf Game Investigation Lesson 6 – The Scientific Experiment Investigation The lessons presented are available in the book called, Investigating Middle School Mathematics: Classroom Lessons Using Wii Sports® by Christina Gawlik. Information about this resource can be found at any of these locations:

1) Amazon.com: Search for Christina Gawlik or Investigating Middle School Mathematics 2) CreateSpace: https://www.createspace.com/3695735

For $2.50 off your purchase use code: UATMHTSD 3) facebook: Search for Investigating Middle School Mathematics page 4) primetwu.wordpress.com – abbreviated sample lessons

Other Titles of Interest Fancy Fractions: Mastering Fraction Concepts & Computations for Grades K-‐8 by Christina Gawlik, found on Amazon.com or direct webpage https://www.createspace.com/3823695 For $5 off your purchase use code: 9YQY7MM9


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Samples can be found at: primetwu.wordpress.com Lesson 1 – The Baseball Investigation

Lesson 2 – Power Throw Investigation


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Lesson 3 – The Ball Return Tennis Investigation


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Christina Gawlik, Ph.D Saint Xavier University

[email protected]

Exploring Middle School Mathematics with Nintendo Wii™

NCTM Regional Conference Hartford, CT October 24th – 26th, 2012

Educational Video Gaming !  Provides intrinsic motivation in the learning

environment !  Learning context is meaningful to students ! Games and the act of play, have positive effect on student

motivation and retention of knowledge

(NCTM, 2000; Ma and Kishor, 1997; Sedig, 2008)


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What will we explore today? 1.  Activities that require application of math to solve problems in

familiar contexts a)  Identifying and describing patterns, relationships, and algebraic

thinking b)  Process of data collection and analysis c)  Apply concepts of probability and statistics

2.  Student Created Experiments a)  Allow students to use statistical procedures to collect and

describe data, make predictions, and communicate mathematical ideas

3.  Observe connections supporting NCTM Standards 4.  Easily utilize differentiated instruction – Supporting all

students

What will we explore today? 1.  Activities that require application of math to solve problems in

familiar contexts a)  Identifying and describing patterns, relationships, and algebraic

thinking b)  Process of data collection and analysis c)  Apply concepts of probability and statistics

2.  Student Created Experiments a)  Allow students to use statistical procedures to collect and

describe data, make predictions, and communicate mathematical ideas

3.  Observe connections supporting NCTM Standards 4.  Easily utilize differentiated instruction – Supporting all

students


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Getting Started: Using Wii Sports What are potential types of data to be collected when playing…?

!  Baseball !  Tennis !  Bowling ! Golf

Home Run Derby Baseball Investigation !  Volunteers!!


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Example with Baseball: Home Run Derby

Ball$ Round$1$ Round$2$ Round$3$1$ 0" 472" 0"2$ 0" 0" 0"3$ 0" 0" 0"4$ 0" 0" 0"5$ 0" 485" 515"6$ 0" 547" 501"7$ 518" 449" 0"8$ 518" 0" 583"9$ 0" 528" 534"10$ 0" 521" 501"

Total$Distance$ 1036" 3002" 2634"#$of$Homeruns$ 2" 6" 5"

Find the mean total distance. What is the probability that in Round 2 you will NOT hit a homerun? Create a scatterplot of the data collected from three rounds. Does a relationship exist between distance hit per ball? Explain.


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0

100

200

300

400

500

600

0 1 2 3 4 5 6 7 8 9 10

Dis

tanc

e H

it in

Fee

t

Ball

Homerun Derby

Round 1

Round 2

Round 3

Round 1 Round 2 Round 3 Probability of hitting a homerun 2/10 6/10 5/10

What does each probability represent?

Simplify if possible 1/5 3/5 1/2

How can you make sure you simplified correctly?

Write as a percent 20% 60% 50%

On average, how many homeruns will you hit? Explain.

Home Run Derby


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Power Throw Bowling Investigation !  Volunteers!!


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Ball Return Tennis Investigation !  Volunteers!!


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NCTM – Supporting Student Learning

!  Process Standards that are addressed in each lesson !  Problem Solving ! Reasoning & Proof ! Communication ! Connections ! Representations


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Where do we begin?

Student Created Experiments

Have students determine variables to compare. !  Gender !  Dominant/Non-dominant

handedness !  Time of day !  Height of student !  Eyes open/close

!  Number of wins/losses !  Game averages !  High/low scores !  Students who regularly play

Wii, and those who don’t

So, what can we do with this information?


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Student Created Experiments !  Ask a Question ! Do Background Research ! Construct a Hypothesis ! Design an Experiment !  Test your Hypothesis by Doing the Experiment !  Analyze your Data and Draw a Conclusion ! Communicate your Results ! Discuss Future Extensions

Student Created Experiments 1.  Ask a Question 2.  Construct a

Hypothesis

3.  Conduct Background Research

4.  Design an Experiment to Test your Hypothesis

5.  Carry Out Experiment & Collect Data

6.  Analyze your Data and Draw a Conclusion

7.  Communicate your Results & Discuss Future Extensions

1.  Who has higher bowling scores, boys or girls? 2.  3rd grade students in Mrs. Byrd’s class will have

higher bowling scores than Mrs. Woodlock’s 5th grade class. 3.  Research professional bowling teams 4.  Boys and girls will take turns bowling 3 games

each, and determining personal averages. Averages of boys scores and girls scores will be compared.

5.  Create a schedule to collect data 6.  Compute personal averages, the average score

for boys, and girls. Determine a conclusion. 7.  Create a presentation of results that discuss

findings and explain further extensions of experiment


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How can this project support Differentiated Instruction?

!  Changing Expectations !  no need for a rules-based approach to mathematics !  Problem based learning

!  Getting to know your students – contextual factors !  Transforming tasks to meet the needs of all learners !  Bloom’s Taxonomy

How to use Differentiate Instruction Independent Students !  Allow students to

create their own experiment

!  Self directed !  Minimal teacher

facilitation

Students who need Probing

!  Provide suggestions for hypothesis

!  Use guiding questions to encourage background research, data collection strategies and analysis

Dependent Students •  Supply students

with more direction: hypothesis &discussion of what data to collect

•  Facilitate background research & analysis


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Background Research !  Compare data from their favorite professional or local sports

team with the data collected from their experiment !  United States Bowling Congress www.bowl.com !  KC Royals http://kansascity.royals.mlb.com/index.jsp?c_id=kc

!  Consider drawing similarities and differences between virtual play and actual play ! Take a fieldtrip to the bowling alley

!  Analyze data on http://www.bowlingstats.net/ for FREE!

Example Hypotheses !  Students will bowl higher scores using their dominant hand !  Boys will throw more strikes !  Students who don’t play video games will have a lower game

average than those who do !  Students who play sports will have higher scores than those

who don’t


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!  What is your class plan for collecting ? !  How many experiments do you want running at once? !  What type of data do you want your students to collect?

Carryout Experiment & Collect Data

Analyze Data & Make Conclusions !  Calculate statistical analyses

! Averages ! Ranges ! Maximums ! Minimums ! Quartiles ! Regressions

!  Make Concluding Statements


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Communicate Your Results & Address Ideas for Experiment Extensions !  Write a report !  Create a presentation

!  Present to class/other classes/Principal/Parents !  Collect all studies and create a class book !  Student portfolios

Bloom’s Taxonomy


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Questioning Key Words: High to Low !  Conclude, criticize, defend, describe, evaluate, explain,

justify, relate, support !  Categorize, compile, compose, modify, organize,

summarize, devise, explain !  Analyze, compare, contrast, deconstruct, differentiate,

distinguish !  Predicts, produce, solve, demonstrate, apply !  Convert, estimate, generalize, give examples, interprets !  Define, describe, identify, label, match, name, select

A Suggested Timeline

Week 1 & 2 !  Creating Mii’s and becoming familiar with the equipment !  Introduction & Initial Experimental Design

! Creating a hypothesis, a plan to carry out experiment, & create data recording apparatus (table, poster, excel)

!  Data Collection & Background Research !  Students begin collecting data

!  Before/after school, lunch, recess, or create centers to engage all students during class, use afterschool programs

! Others are conducting background research !  Practice problems

!  Example data from websites, texts, and/or newspapers !  Calculate central tendencies, probabilities, and representations of data !  Write about results


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Suggested Timeline

Week 3 & 4 !  Continue Data Collection with Wii !  Collect “Real” Data by Mimicking Student Experiments

!  Fieldtrip to a bowling alley !  Play softball or tennis on school grounds

Week 5 & 6 !  Analyze Data !  Draw Conclusions about Video & Real Data

! Calculate central tendencies, probabilities, and representations of data !  Explore relationships among variables, if any exist and explain why. ! Discuss similarities and differences from virtual vs. non-virtual

experiences

Suggested Timeline


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Suggested Timeline Week 7 & 8 !  Conclude Analysis & Write up Results !  Create Presentation & Communicate Experimental Design &

Results !  Posters, PowerPoint, Website ! Create a class book of student group experiments

Suggested Timeline Week 9 !  Presentations

!  Present to class, other classes, administration, parents !  Parent/Teacher Conferences !  Parent Math Night ! Community Events


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Additional Project Ideas !  Class challenges among

same grade levels or across grade levels

!  Challenge adults (parents, teacher, other staff) vs. students

!  Discuss geometric probabilities when playing Tennis Target Training

!  Economics – SimCity Creater Game

!  Music – Wii Music !  MSNBC Article

http://www.msnbc.msn.com/id/29127548/ !  Wii Fit

! Ability to store and graph data over time

!  Set personal goals ! Record other activities and the

amount of time

Other Fun Wii Games !  Wii Fit

!  Set personal goals and get fit simultaneously

!  Sim City ! Develop a functioning city and track the economics

!  Wii Music !  Learn to read music and become a musician

!  Rock Band !  Start a rock band with up to 4 players

!  Guitar Hero: Aerosmith !  **Wi-Fi: play against your friends from another location


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Christina Gawlik, Ph.D Saint Xavier University

[email protected]

How could YOU implement the Wii into your classroom?

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