shelby aaberg, nebraska master teaching fellow, scottsbluff high school jason vitosh, nebraska...
TRANSCRIPT
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.
Students Develop a Winning Strategy
*Roller Derby
Students Discover a Distribution
Shape
*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.
*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
*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