9780321286963

Mathematical Reasoning for Elementary Teachers

by ;
  • ISBN13:

    9780321286963

  • ISBN10:

    0321286960

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 1/1/2006
  • Publisher: Addison Wesley
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Summary

The fourth edition of Mathematical Reasoning has an increased focus on professional development and connecting the material from this class to the elementary and middle school classroom. The authors have provided more meaningful content and pedagogy to arm readers with all the tools that they will need to become excellent elementary or middle school teachers. Thinking Critically. Sets and Whole Numbers. Numeration and Computation. Number Theory. Integers. Fractions and Rational Numbers. Decimals and Real Numbers. Algebraic Reasoning and Representation. Statistics: The Interpretation of Data. Probability. Geometric Figures. Measurement. Transformations, Symmetries, and Tilings. Congruence, Constructions, and Similarities. For all readers interested in mathematical reasoning for elementary teachers.

Table of Contents

Thinking Critically
Some Surprising Tidbits
An Introduction to Problem Solving
Pólya's Problem-Solving Principles
More Problem-Solving Strategies
Additional Problem-Solving Strategies
Sets and Whole Numbers
Sets and Operations on Sets
Sets, Counting, and the Whole Numbers
Addition and Subtraction of Whole Numbers
Multiplication and Division of Whole Numbers
Numeration and Computation
Numeration Systems Past and Present
Nondecimal Positional Systems
Algorithms for Adding and Subtracting Whole Numbers
Algorithms for Multiplication and Division of Whole Numbers
Mental Arithmetic and Estimation
Getting the Most Out of Your Calculator
Number Theory
Divisibility of Natural Numbers
Tests for Divisibility
Greatest Common Divisors and Least Common Multiples
Codes and Credit Card Numbers: Connections to Number Theory
Integers
Representation of Integers
Addition and Subtraction of Integers
Multiplication and Division of Integers
Clock Arithmetic
Fractions and Rational Numbers
The Basic Concepts of Fractions and Rational Numbers
The Arithmetic of Rational Numbers
The Rational Number System
Decimals and Real Numbers
Decimals
Computations with Decimals
Ratio and Proportion
Percent
Algebraic Reasoning and Representation
Algebraic Expressions and Equations
Functions
Graphing Functions in the Cartesian Plane
Statistics: The Interpretation of Data
The Graphical Representation of Data
Measures of Central Tendency and Variability
Statistical Inference
Probability
Empirical Probability
Principles of Counting
Theoretical Probability
Geometric Figures
Figures in the Plane
Curves and Polygons in the Plane
Figures in Space
Networks
Measurement
The Measurement Process
Area and Perimeter
The Pythagorean Theorem
Surface Area and Volume
Transformations, Symmetries, and Tilings
Rigid Motions and Similarity Transformations
Patterns and Symmetries
Tilings and Escher-like Designs
Congruence, Constructions, and Similarities
Congruent Triangles
Constructing Geometric Figures
Similar Triangles
Appendices
Manipulatives in the Mathematics Classroom
Spreadsheets
Graphing Calculators
A Brief Guide to The Geometer's Sketchpad
Resources
Answers to Selected Problems
Acknowledgments
Mathematical Lexicon
Index and Pronunciation Guide
Table of Contents provided by Publisher. All Rights Reserved.

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