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Shelby Aaberg, Nebraska Master Teaching Fellow,
Scottsbluff High School
Jason Vitosh, Nebraska Master Teaching Fellow,
Falls City High School
*Using Statistics in Mathematics Classes
*How Statistics is Not Just Mathematics?
*Mathematical models describe structure.
*Statistical models describe variability around the structure.
*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.
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
*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
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
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
Problems-The Birthday ProblemThe Monty Hall ProblemLottery ProblemsYour Own RaffleFree Throw Stats & Prob
*Shelby Aaberg
UNL MTF, Scottsbluff NE
*Jason Vitosh
UNL MTF, Falls City NE
*Contact Info