## Learning Math: Data Analysis, Statistics, and Probability

# Classroom Case Studies, Grades 6-8

This is the final session of the *Data Analysis, Statistics, and Probability course*! In this session, we will examine how statistical thinking from the previous nine sessions might look when applied to situations in your own classroom. This session is customized for three grade levels. Select the grade level most relevant to your teaching.

**In This Grade Band**

**Part A:**Statistics as a Problem-Solving Process

**Part B:**Developing Statistical Reasoning

**Part C:**Inferences and Predictions

**Part D:**Examining Children’s Reasoning

**Homework**

In the previous sessions, we explored statistics as a problem-solving process that seeks answers to questions through data. You put yourself in the position of a mathematics learner, both to analyze your individual approach to solving problems and to get some insights into your own conception of statistical reasoning. It may have been difficult to separate your thinking as a mathematics learner from your thinking as a mathematics teacher. Not surprisingly, this is often the case. In this session, however, we shift the focus to your own classroom and to the approaches your students might take to mathematical tasks involving statistics. See Note 1 below.

As in other sessions, you will be prompted to view short video segments throughout the session; you may also choose to watch the full-length video for this session.

**LEARNING OBJECTIVES
**In this session, you will do the following:

**•**Explore the development of statistical reasoning at your grade level

**Analyze the use of the four-step process for solving statistical problems in your classroom**

•

•

**Review mathematical tasks and their connection to the mathematical themes in this course**

•

•

**Examine children’s understanding of statistical concepts**

•

•

### Notes for Session 10

**Note 1**

This session uses classroom case studies to examine how children at your grade level think about and work with data. If possible, work on this session with another teacher or a group of teachers. A group discussion will allow you to use your own classroom, and the classrooms of fellow teachers, as case studies to make additional observations.

### Key Terms

**Previously Introduced:**

bias

box plot

census

data

distribution

Five-Number Summary

histogram

interval

line plot

mean

median

mode

population

qualitative data

qualitative variables

quantitative data

quantitative variables

random sample

relative frequency

representative sample

sample

scatter plot

stem and leaf plot

variable

variation