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

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

  • Mathematical models describe structure.

  • Statistical models describe variability around the structure.

How Statistics is Not Just Mathematics?


Roller derby

Students Discover a Distribution Shape

Students Develop a Winning Strategy

Roller Derby


Asking the right questions

  • 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

Student Distribution Results


Anscombe s quartet

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


Counting sixlets

  • Students explore permutation counting methods.

  • Students consider probability and randomness.

Counting Sixlets


Scholarship committee

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


Pennies pennies pennies

  • Dot Plots

  • Stem & Leaf Plots

  • Box & Whisker Plots

  • Histograms

Pennies Pennies Pennies


Common core state standards

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)


Resources ideas

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


Contact info

  • Shelby Aaberg

    UNL MTF, Scottsbluff NE

    [email protected]

  • Jason Vitosh

    UNL MTF, Falls City NE

    [email protected]

Contact Info


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