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Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 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 1 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 Samples can be found at: primetwu.wordpress.com Lesson 1 – The Baseball Investigation Lesson 2 – Power Throw Investigation 2 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 Lesson 3 – The Ball Return Tennis Investigation 3 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 NCTM Regional Conference Hartford, CT October 24th – 26th, 2012 Exploring Middle School Mathematics with Nintendo Wii™ Christina Gawlik, Ph.D Saint Xavier University [email protected] 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) 4 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 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 5 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 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!! 6 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 7 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 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. 8 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 Homerun Derby 600 500 400 300 Round 1 Round 2 200 Round 3 Distance Hit in Feet 100 0 0 1 2 3 4 5 6 7 8 9 10 Ball Home Run Derby Round 1 Round 2 Round 3 Probability of hitting a What does each probability homerun 2/10 6/10 5/10 represent? Simplify if How can you make sure you possible 1/5 3/5 1/2 simplified correctly? On average, how many Write as a homeruns will you hit? percent 20% 60% 50% Explain. 9 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 Power Throw Bowling Investigation ! Volunteers!! 10 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 11 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 Ball Return Tennis Investigation ! Volunteers!! 12 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 NCTM – Supporting Student Learning ! Process Standards that are addressed in each lesson ! Problem Solving ! Reasoning & Proof ! Communication ! Connections ! Representations 13 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 Student Created Experiments Where do we begin? Have students determine variables to compare. ! Gender ! Number of wins/losses ! Dominant/Non-dominant ! Game averages handedness ! High/low scores ! Time of day ! Students who regularly play ! Height of student Wii, and those who don’t ! Eyes open/close So, what can we do with this information? 14 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 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 1. Who has higher bowling scores, boys or girls? 2. Construct a 2. 3rd grade students in Mrs. Byrd’s class will have Hypothesis higher bowling scores than 3. Conduct Background Mrs. Woodlock’s 5th grade class. Research 3. Research professional bowling teams 4. Design an Experiment to Test 4. Boys and girls will take turns bowling 3 games your Hypothesis each, and determining personal averages. 5. Carry Out Averages of boys scores and girls scores will be Experiment & compared. Collect Data 5. Create a schedule to collect data 6. Analyze your Data 6. Compute personal averages, the average score and Draw a Conclusion for boys, and girls. Determine a conclusion. 7. Communicate your 7. Create a presentation of results that discuss Results & Discuss findings and explain further extensions of Future Extensions experiment 15 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 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 Students who Dependent Students ! Allow students to need Probing • Supply students create their own ! Provide suggestions with more experiment for hypothesis direction: ! Self directed ! Use guiding hypothesis &discussion of ! Minimal teacher questions to what data to facilitation encourage background collect research, data • Facilitate collection strategies background and analysis research & analysis 16 Exploring Middle School Mathematics with Nintendo Wii® NCTM Hartford, CT 2012 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
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