Data Analysis and Probability Connections: Mathematics For Middle School Teachers

Paperback | March 17, 2006

byDebra A. Perkowski, Michael Perkowski, Umo University Of Missouri

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Part of a project funded by the National Science Foundation to improve the quality of mathematics and science teaching in grades K-12, this new guide models the student-centered approach recommended by the National Council of Teachers of Mathematics to teach introductory statistics. Provides future middle grade mathematics teachers with a strong foundation, connecting the mathematics they are learning with the mathematics they will be teaching. Gives enhanced meaning to formulas via a visual or geometric approach. Uses numerous illustrations to assist readers in making explicit connections between a typical college elementary statistics course and the statistical concepts taught by middle school teachers. For anyone interested in introductory statistics.

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From the Publisher

Part of a project funded by the National Science Foundation to improve the quality of mathematics and science teaching in grades K-12, this new guide models the student-centered approach recommended by the National Council of Teachers of Mathematics to teach introductory statistics. Provides future middle grade mathematics teacher...

From the Jacket

Part of a project funded by the National Science Foundation to improve the quality of mathematics and science teaching in grades K-12, this new guide models the student-centered approach recommended by the National Council of Teachers of Mathematics to teach introductory statistics.Provides future middle grade mathematics teachers with...

Format:PaperbackDimensions:416 pages, 8.9 × 6.9 × 1 inPublished:March 17, 2006Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0131449222

ISBN - 13:9780131449220

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Extra Content

Table of Contents

Chapter 1: Elements of Statistics

 

Getting Started

 

Types of Data

 

Chapter 2: Organizing and Displaying Data

 

Displaying Categorical Data

 

Displaying Quantitative Data

 

Misleading Graphs

 

Chapter 3: Describing Data with Numbers

 

Measures of Center

 

Measures of Spread

 

Measures of Position

 

Box-and whisker Plots

 

Chebyshev’s Rule and the Empirical Rule

 

Chapter 4: Data with Two Variables

 

Scatter Plots and Correlation

 

Pearson’s Correlation Coefficient

 

Slopes and Equations of Fitted Lines

 

The Least Squares Line

 

The Median-Median Line

 

Chapter 5: Probability

 

What is Probability?

 

Outcomes and Events

 

Basic Probability Rules

 

Conditional Probability and Independence

 

Multiplication Rules

 

Geometric Probability

 

Chapter 6: Methods for Counting Outcomes

 

The Multiplication Principle

 

Permutations 

 

Combinations 

 

Mixed Counting Problems

 

Chapter 7: Random Variables and Probability Distributions

 

What is a Random Variable? 

 

The Mean of a Random Variable

 

Variance and Standard Deviation for Random Variables

 

Binomial Random Variables

 

Normal Random Variables

 

Normal Approximations

 

Chapter 8: Distributions from Random Samples

 

The Distribution of Sample Means

 

The Distribution of Sample Proportions

 

Chapter 9: Estimating with Confidence

 

What is a Confidence Interval?

 

Confidence Intervals for Proportions

 

Confidence Intervals for Means

 

Sample Size

 

Chapter 10: Testing Hypotheses

 

What is a Hypothesis Test?

 

Tests About Proportions

 

Tests About Means

 

The P-value for a Test