Hey There, You with the Stars in Your GAISE . . .

Statistical Analysis and Interpretation – Part 2

Math Teacher Leader SeminarApril 1st & 3rd, 2008

Henry KepnerKevin McLeodDeAnn HuinkerConnie LaughlinKaren CorlynLee Ann PruskePaige RichardsMary Mooney

Developed by the Milwaukee Mathematics Partnership (MMP) 1with support by the National Science Foundation under Grant No. 0314898.1

Session Goals

Continue to Examine Part III – Analyze Data of the GAISE Framework for Statistical Problem Solving.

Begin to Examine Part IV – Interpret Results of the GAISE Framework for Statistical Problem Solving.

Examine the center, spread, and shape of data.

Developed by the Milwaukee Mathematics Partnership (MMP) 2with support by the National Science Foundation under Grant No. 0314898.2

A Framework for Statistical Problem Solving

GAISE Report (2007)

I. Formulate Questions

II. Collect Data

III. Analyze Data

IV. Interpret Results

GAISE: Guidelines for Assessment and Instruction in Statistics Education

Developed by the Milwaukee Mathematics Partnership (MMP) 3with support by the National Science Foundation under Grant No. 0314898.3

What is the GAISE Framework?

Read: pages 16-19: “Illustrations: I. Formulate Questions, II. Collect Data, III. Analyze Data and IV. Interpret Results”

Purpose: To reinforce each component of the framework and the different levels.

Focus Question:Considering the three levels discussed in this article, where would you place the majority of the lessons that are taught in your school?

Developed by the Milwaukee Mathematics Partnership (MMP) 4with support by the National Science Foundation under Grant No. 0314898.4

How Can I Use the GAISE Report?

As a quick reference for the components of the framework.

As a resource for explanations of each component in practice—and as a series of examples by which we can teach each component.

Developed by the Milwaukee Mathematics Partnership (MMP) 5with support by the National Science Foundation under Grant No. 0314898.5

Topics covered this year:

Mode p. 26

Comparing Groups – Categorical & Numerical Data p. 26-27

Describing Center and Spread p. 29

The Role of Probability p. 33

Mean as a Balance Point p. 41

Histograms p. 44

Comparing Distributions - Box Plots p.46

Developed by the Milwaukee Mathematics Partnership (MMP) 6with support by the National Science Foundation under Grant No. 0314898.6

Read one of the sections below:Level A Pages 23-35Level A Appendix 89-94

Level B Pages 36-59Level B Appendix 95-98

Level C Pages 60-88Level C Appendix 99-107

Developed by the Milwaukee Mathematics Partnership (MMP) 7with support by the National Science Foundation under Grant No. 0314898.7

Table Share

How might you use the GAISE Report for professional development at your school and/or within your classroom?

Developed by the Milwaukee Mathematics Partnership (MMP) 8with support by the National Science Foundation under Grant No. 0314898.8

Migraine Headache Medicine

Developed by the Milwaukee Mathematics Partnership (MMP) 9with support by the National Science Foundation under Grant No. 0314898.9

Migraine Medicine

Stem & Leaf Plot

Developed by the Milwaukee Mathematics Partnership (MMP) 10with support by the National Science Foundation under Grant No. 0314898.10

Developed by the Milwaukee Mathematics Partnership (MMP) 11with support by the National Science Foundation under Grant No. 0314898.11

Milwaukee Public SchoolsMathematics Framework

Developed by the Milwaukee Mathematics Partnership (MMP) 12with support by the National Science Foundation under Grant No. 0314898.12

Big Ideas

The GAISE report provides a framework for thinking about statistics instruction and pushing towards higher levels of statistical thinking in the classroom.

Different graphical representations of the same data set can clarify or obscure important aspects of the data, so care must be taken in choosing an appropriate representation.

Developed by the Milwaukee Mathematics Partnership (MMP) 13with support by the National Science Foundation under Grant No. 0314898.13