Using statistics in mathematics classes
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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. Mathematical models describe structure. Statistical models describe variability around the structure.

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Using Statistics in Mathematics Classes

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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


  • Mathematical models describe structure.

  • Statistical models describe variability around the structure.

How Statistics is Not Just Mathematics?


Students Discover a Distribution Shape

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.

Asking the “Right” Questions


Student Distribution Results


Four sets of data

  • Same LSRL slope

  • Same LSRL y-intercept

  • Same r value

  • Same r2 value

  • WILDLY DIFFERENT SCATTERPLOTS

Anscombe’s Quartet

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


  • Students explore permutation counting methods.

  • Students consider probability and randomness.

Counting Sixlets


Two equally qualified scholarship candidates

  • 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


Mathematical Practices

  • 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)


Problems-

The Birthday Problem

The Monty Hall Problem

Lottery Problems

Your Own Raffle

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


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