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# Using Statistics in Mathematics Classes - PowerPoint PPT Presentation

Using Statistics in Mathematics Classes. Shelby Aaberg , Nebraska Master Teaching Fellow, Scottsbluff High School Jason Vitosh , Nebraska Master Teaching Fellow, Falls City High School. Mathematical models describe structure. Statistical models describe variability around the structure.

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### Using Statistics in Mathematics Classes

Shelby Aaberg, Nebraska Master Teaching Fellow,

Scottsbluff High School

Jason Vitosh, Nebraska Master Teaching Fellow,

Falls City High School

How Statistics is Not Just Mathematics?

Students Develop a Winning Strategy

Roller Derby

• Mathematical Questions

“What is the probability of rolling an 8 with a pair of number cubes?”

“What is the expected value when rolling a pair of number cubes?”

• Statistical Questions

“What is a winning strategy in a game of Roller Derby?”

“Explain if a winning strategy guarantees success?”

VS.

• Same LSRL slope

• Same LSRL y-intercept

• Same r value

• Same r2 value

• WILDLY DIFFERENT SCATTERPLOTS

Anscombe’s Quartet

HTTP://MATHLETICISM.NET/?P=160

Counting Sixlets

• Candidate 1: ACT Math Subscore of 33

• Candidate 2: SAT Math Subscore of 550

• You are the scholarship committee chairperson. Who should get the scholarship?

Scholarship Committee

HTTP://MATHLETICISM.NET/?P=1065

• Dot Plots

• Stem & Leaf Plots

• Box & Whisker Plots

• Histograms

Pennies Pennies Pennies

• Make sense of problems and persevere in solving them

• Reason abstractly and quantitatively

• Construct viable arguments and critique the reasoning of others

• Model with mathematics

• Use appropriate tools strategically

• Attend to precision

• Look for and make use of structure

• Look for and express regularity in repeated reasoning

Common Core State Standards

High School Statistics Categories

1) Interpreting Data (HSS.ID)

2) Inferences & Conclusions (HSS.IC)

3) Conditional Probability (HSS.CP)

4) Making Decisions (HSS.MD)

The Birthday Problem

The Monty Hall Problem

Lottery Problems

Free Throw Stats & Prob

Books-

• Proofiness, Charles Seife

• The Lady Tasting Tea, David Salsburg

• Damned Lies and Statistics, Joel Best

• How to Lie with Statistics, Darrell Huff

• Naked Statistics, Charles Wheelan

• NCTM Developing Essential Understanding of Statistics-Grade 9-12

• NCTM Implementing the Common Core State Standards through Mathematical Problem Solving-High School

• NCTM Developing Essential Understanding of Statistics-Grade 6-8

• NCTM Bridging the Gap Between CCSS and Teaching Statistics

• NCTM Teaching Mathematics through Problem Solving-Grades 6-12

Resources & Ideas

Websites-

http://mathleticism.net

http://apstatsmonkey.com

http://mathcoachblog.com/

www.geogebra.org

• Shelby Aaberg

UNL MTF, Scottsbluff NE

saaberg@sbps.net

• Jason Vitosh

UNL MTF, Falls City NE

jvitosh@fallscityps.org

Contact Info