9780131449220

Data Analysis and Probability Connections Mathematics for Middle School Teachers

by ; ;
  • ISBN13:

    9780131449220

  • ISBN10:

    0131449222

  • Edition: 1st
  • Format: Paperback
  • Copyright: 3/17/2006
  • Publisher: Pearson

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Supplemental Materials

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Summary

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.

Table of Contents

Preface vii
List of Figures
xi
Elements of Statistics
1(19)
Getting Started
1(9)
Types of Data
10(10)
Organizing and Displaying Data
20(28)
Displaying Categorical Data
20(5)
Displaying Quantitative Data
25(12)
Misleading Graphs
37(11)
Describing Data with Numbers
48(37)
Measures of Center
48(9)
Measures of Spread
57(13)
Measures of Position
70(4)
Box-and-Whisker Plots
74(11)
Data with Two Variables
85(33)
Scatter Plots and Correlation
85(5)
Pearson's Correlation Coefficient
90(6)
Slopes and Equations of Fitted Lines
96(4)
The Least Squares Line
100(6)
The Median-Median Line
106(12)
Probability
118(34)
What Is Probability?
119(1)
Outcomes and Events
120(10)
Basic Probability Rules
130(3)
Conditional Probability and Independence
133(4)
Multiplication Rules
137(4)
Geometric Probability
141(11)
Counting Techniques
152(31)
The Multiplication Principle or the Fundamental Counting Principle
154(6)
Permutations
160(8)
Combinations
168(5)
Mixed Counting Problems
173(10)
Random Variables and Probability Distributions
183(51)
What Is a Random Variable?
183(6)
The Mean of a Random Variable
189(4)
Variance and Standard Deviation
193(7)
Binomial Random Variables
200(7)
The Normal Curve
207(12)
Normal Approximations
219(15)
Distributions from Random Samples
234(32)
Random Sampling
234(8)
The Distribution of Sample Means
242(11)
The Distribution of Sample Proportions
253(13)
Estimating with Confidence
266(35)
Confidence Intervals for Proportions
267(13)
Confidence Intervals for Means
280(13)
Sample Size
293(8)
Testing Hypotheses
301(41)
What Is a Hypothesis Test?
301(8)
Tests about Proportions
309(9)
The P-Value for a Test
318(8)
Tests about Means
326(16)
Some Final Thoughts 342(1)
Glossary 343(15)
References 358(1)
Answers and Hints for Odd Numbered Exercises 359(21)
Photo Credits 380(5)
Index 385

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