Mathematics for Elementary Teachers: A Contemporary Approach

by Musser, Gary L.; Burger, William F.; Peterson, Blake E.

• ISBN13: 9780471368588
• ISBN10: 047136858X
• Edition: 5th
• Format: Hardcover
• Copyright: 1999-08-01
• Publisher: John Wiley & Sons Inc

Summary

All the essential mathematics teachers need for teaching at the elementary and middle school levels! This best seller features rich problem-solving strategies, relevant topics, and extensive opportunities for hands-on experience. The coverage in the book moves from the concrete to the pictorial to the abstract, reflecting the way math is generally taught in elementary classrooms.

Table of Contents

Preface	ix
Introduction to Problem Solving	1	(34)
The Problem Solving Process and Strategies	3	(12)
Three Additional Strategies	15	(20)
Sets, Whole Numbers, and Numeration	35	(56)
Sets As a Basis for Whole Numbers	37	(11)
Whole Numbers and Numeration	48	(10)
The Hindu-Arabic System	58	(9)
Relations and Functions	67	(24)
Whole Numbers: Operations and Properties	91	(42)
Addition and Subtraction	93	(12)
Multiplication and Division	105	(14)
Ordering and Exponents	119	(14)
Whole-Number Computation--Mental, Electronic and Written	133	(44)
Mental Math, Estimation, and Calculators	135	(14)
Written Algorithms for Whole-Number Operations	149	(17)
Algorithms in Other Bases	166	(11)
Number Theory	177	(30)
Primes, Composites, and Tests for Divisibility	179	(12)
Counting Factors, Greatest Common Factor, and Least Common Multiple	191	(16)
Fractions	207	(46)
The Set of Fractions	209	(13)
Fractions: Addition and Subtraction	222	(10)
Fractions: Multiplication and Division	232	(21)
Decimals, Ratio, Proportion, and Percent	253	(52)
Decimals	255	(9)
Operations with Decimals	264	(11)
Ratio and Proportion	275	(10)
Percent	285	(20)
Integers	305	(34)
Addition and Subtraction	307	(13)
Multiplication, Division, and Order	320	(19)
Rational Numbers and Real Numbers, With an Introduction to Algebra	339	(62)
The Rational Numbers	341	(18)
The Real Numbers	359	(17)
Functions and Their Graphs	376	(25)
Statistics	401	(70)
Organizing and Picturing Information	403	(20)
Analyzing Data	423	(20)
Misleading Graphs and Statistics	443	(28)
Probability	471	(58)
Probability and Simple Experiments	473	(13)
Probability and Complex Experiments	486	(14)
Probabilities with Permutations and Combinations	500	(10)
Odds, Conditional Probability, Expected Value, and Simulation	510	(19)
Geometric Shapes	529	(74)
Recognizing Geometric Shapes and Definitions	531	(14)
Analyzing Shapes	545	(13)
Properties of Geometric Shapes: Lines and Angles	558	(10)
Regular Polygons and Tessellations	568	(12)
Describing Three-Dimensional Shapes	580	(23)
Measurement	603	(72)
Measurement with Nonstandard and Standard Units	605	(19)
Length and Area	624	(20)
Surface Area	644	(10)
Volume	654	(21)
Geometry Using Triangle Congruence and Similarity	675	(62)
Congruence of Triangles	677	(10)
Similarity of Triangles	687	(13)
Basic Euclidean Constructions	700	(11)
Additional Euclidean Constructions	711	(11)
Geometric Problem Solving Using Triangle Congruence and Similarity	722	(15)
Geometry Using Coordinates	737	(42)
Distance and Slope in the Coordinate Plane	739	(12)
Equations and Coordinates	751	(13)
Geometric Problem Solving Using Coordinates	764	(15)
Geometry Using Transformations	779	(60)
Transformations	781	(23)
Congruence and Similarity Using Transformations	804	(18)
Geometric Problem Solving Using Transformations	822	(17)
EPILOGUE: AN ECLECTIC APPROACH TO GEOMETRY	839	(4)
TECHNOLOGY SECTION	843	(22)
C.1 Programming in LOGO: Turtle Geometry	843	(12)
C.2 Computer Exploration Software for Geometry	855	(3)
C.3 Graphics Calculators	858	(7)
TOPIC 1. ELEMENTARY LOGIC	865	(12)
TOPIC 2. CLOCK ARITHMETIC: A MATHEMATICAL SYSTEM	877
Answers To Exercise/Problem Sets-Part A, Chapter Tests, Technology Section, and Topics	A1
Photograph Credits	A91
Index	I1