Data Analysis and Probability Connections: Mathematics For Middle School Teachers by Debra A. PerkowskiData Analysis and Probability Connections: Mathematics For Middle School Teachers by Debra A. Perkowski

Data Analysis and Probability Connections: Mathematics For Middle School Teachers

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

Paperback | March 17, 2006

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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.

Title:Data Analysis and Probability Connections: Mathematics For Middle School TeachersFormat: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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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






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