Using Statistics in Mathematics Classes

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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

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.

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

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

[email protected]

• Jason Vitosh

UNL MTF, Falls City NE

[email protected]

Contact Info