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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.

Students Discover a Distribution Shape

Students Develop a Winning Strategy

- 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.

Four sets of data

- Same LSRL slope
- Same LSRL y-intercept
- Same r value
- Same r2 value
- WILDLY DIFFERENT SCATTERPLOTS

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

- Students explore permutation counting methods.
- Students consider probability and randomness.

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?

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

- Dot Plots
- Stem & Leaf Plots
- Box & Whisker Plots
- Histograms

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

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

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