1 / 12

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. Mathematical models describe structure. Statistical models describe variability around the structure.

amena-villarreal
Download Presentation

Using Statistics in Mathematics Classes

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Using Statistics in Mathematics Classes Shelby Aaberg, Nebraska Master Teaching Fellow, Scottsbluff High School Jason Vitosh, Nebraska Master Teaching Fellow, Falls City High School

  2. Mathematical models describe structure. • Statistical models describe variability around the structure. How Statistics is Not Just Mathematics?

  3. Students Discover a Distribution Shape Students Develop a Winning Strategy Roller Derby

  4. 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

  5. Student Distribution Results

  6. 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

  7. Students explore permutation counting methods. • Students consider probability and randomness. Counting Sixlets

  8. 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

  9. Dot Plots • Stem & Leaf Plots • Box & Whisker Plots • Histograms Pennies Pennies Pennies

  10. 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)

  11. 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

  12. Shelby Aaberg UNL MTF, Scottsbluff NE saaberg@sbps.net • Jason Vitosh UNL MTF, Falls City NE jvitosh@fallscityps.org Contact Info

More Related