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Elementary school classrooms are increasingly relying on a discovery method for the teaching of mathematics. Mathematics for Elementary Teachers thoroughly prepares preservice teachers to use this approach as it has been proven to increase their depth of understanding of mathematics. In this text, topics are organized by operation, rather than number type, and time is spent explaining why the math works, rather than just on the mechanics of how it works. Fully integrated activities are found in the book and in an accompanying Activities Manual. As a result, students engage, explore, discuss, and ultimately reach true understanding of the approach and of mathematics.
This product accompanies:
Beckmann,
Mathematics for Elementary Teachers with Activity Manual, 3/E
Chapter 1 Problem Solving
1.1 Solving Problems
1.2 Explaining Solutions
Chapter 2 Numbers and the Decimal System
2.1 Overview of the Number Standards
2.2 The Decimal System and Place Value
2.3 Representing Decimal Numbers
2.4 Comparing Decimal Numbers
2.5 Rounding Decimal Numbers
Chapter 3 Fractions
3.1 The Meaning of Fractions
3.2 Fractions as Numbers
3.3 Equivalent Fractions
3.4 Comparing Fractions
3.5 Percent
Chapter 4 Addition and Subtraction
4.1 Interpretations of Addition and Subtraction
4.2 Why the Standard Algorithms for Adding and Subtracting Decimal Numbers Work
4.3 Adding and Subtracting Fractions
4.4 When Do We Add Percentages?
4.5 Percent Increase and Percent Decrease
4.6 The Commutative and Associative Properties of Addition and Mental Math
Chapter 5 Multiplication
5.1 The Meaning of Multiplication and Ways to Show Multiplication
5.2 Why Multiplying Decimal Numbers by 10 is Easy
5.3 The Commutative Property of Multiplication and Areas of Rectangles
5.4 The Associative Property of Multiplication and Volumes of Boxes
5.5 The Distributive Property
5.6 Mental Math, Properties of Arithmetic, and Algebra
5.7 Why the Procedure for Multiplying Whole Numbers Works
Chapter 6 Multiplication of Fractions, Decimals, and Negative Numbers
6.1 Multiplying Fractions
6.2 Multiplying Decimals
6.3 Multiplying Negative Numbers
6.4 Scientific Notation
Chapter 7 Division
7.1 The Meaning of Division
7.2 Understanding Long Division
7.3 Fractions and Division
7.4 Dividing Fractions
7.5 Dividing Decimals
7.6 Ratio and Proportion
Chapter 8 Geometry
8.1 Visualization
8.2 Angles
8.3 Circles and Spheres
8.4 Triangles, Quadrilaterals, and Other Polygons
8.5 Constructions with Straightedge and Compass
8.6 Polyhedra and Other Solid Shapes
Chapter 9 Geometry of Motion and Change
9.1 Reflections, Translations, and Rotations
9.2 Symmetry
9.3 Congruence
9.4 Similarity
Chapter 10 Measurement
10.1 Fundamentals of Measurement
10.2 Length, Area, Volume, and Dimension
10.3 Calculating Perimeters of Polygons, Areas of Rectangles, and Volumes of Boxes
10.4 Error and Accuracy in Measurements
10.5 Converting from One Unit of Measurement to Another
Chapter 11 More About Area and Volume
11.1 The Moving and Additivity Principles About Area
11.2 Using the Moving and Additivity Principles to Prove the Pythagorean Theorem
11.3 Areas of Triangles
11.4 Areas of Parallelograms
11.5 Cavalieri’s Principle About Shearing and Area
11.6 Areas of Circles and the Number Pi
11.7 Approximating Areas of Irregular Shapes
11.8 Relating the Perimeter and Area of a Shape
11.9 Principles for Determining Volumes
11.10 Volumes of Prisms, Cylinders, Pyramids, and Cones
11.11 Areas, Volumes, and Scaling
Chapter 12 Number Theory
12.1 Factors and Multiples
12.2 Greatest Common Factor and Least Common Multiple
12.3 Prime Numbers
12.4 Even and Odd
12.5 Divisibility Tests
12.6 Rational and Irrational Numbers
Chapter 13 Functions and Algebra
13.1 Mathematical Expressions, Formulas, and Equations
13.2 Solving Equations Using Number Sense, Strip Diagrams, and Algebra
13.3 Sequences
13.4 Series
13.5 Functions
13.6 Linear Functions
Chapter 14 Statistics
14.1 Formulating Questions, Designing Investigations, and Gathering Data
14.2 Displaying Data and Interpreting Data Displays
14.3 The Center of Data: Mean, Median, and Mode
14.4 Percentiles and the Distribution of Data
Chapter 15 Probability
15.1 Basic Principles and Calculation Methods of Probability
15.2 Using Fraction Arithmetic to Calculate Probabilities


Sybilla Beckmann earned an undergraduate degree in mathematics from Brown University and a PhD in mathematics from the University of Pennsylvania. She taught and did research in mathematics at Yale University for two years. Since then, she has been at the University of Georgia. When she had children, she became very interested in helping prospective teachers understand and appreciate the mathematics they will teach. This interest led to her book. She enjoys playing the piano, weaving, attending classical music concerts, and traveling with her family.
IMAP CD-ROM: Integrating Mathematics and Pedagogy to Illustrate Children's Reasoning
San Diego State University Foundation
©2005 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321588304 |
ISBN-13: 9780321588302
Instructor's Resource and Testing Manual for Mathematics for Elementary Teachers, 2/E
Beckmann
©2008 | Pearson | Paper; 452 pp | Out of Stock
ISBN-10: 0321448618 |
ISBN-13: 9780321448613
View Downloadable Files
Instructor's Solutions Manual, 2/E
Breidenbach
©2008 | Pearson | Paper; 208 pp | Instock
ISBN-10: 0321455657 |
ISBN-13: 9780321455659
View Downloadable Files
Activities Manual, 2/E
Beckmann
©2008 | Pearson | Paper; 712 pp | Instock
ISBN-10: 0321449762 |
ISBN-13: 9780321449764
Connecting Math for Elementary Teachers: How Children Learn Mathematics
Feikes, Schwingendorf & Gregg
©2009 | Pearson | Paper; 336 pp | Instock
ISBN-10: 0321542665 |
ISBN-13: 9780321542663
E-Manipulatives CD for Future Elementary School Teachers, Version 2.1, 10/E
Pearson
©2010 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321640802 |
ISBN-13: 9780321640802
IMAP CD-ROM: Integrating Mathematics and Pedagogy to Illustrate Children's Reasoning
San Diego State University Foundation & Philipp
©2005 | Pearson | CD-ROM Only; 1 pp | Instock
ISBN-10: 0131198548 |
ISBN-13: 9780131198548
For the Mathematics Discipline
Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Pearson | Paper | Instock
ISBN-10: 0321247086 |
ISBN-13: 9780321247087
Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Pearson | Paper | Instock
ISBN-10: 0321247078 |
ISBN-13: 9780321247070
Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394739 |
ISBN-13: 9780321394736
Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 |
ISBN-13: 9780321394743
Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 |
ISBN-13: 9780321394767
Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 |
ISBN-13: 9780321517197
Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X |
ISBN-13: 9780321517586
Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 |
ISBN-13: 9780136492030
Finite Mathematics Study Card
Addison-Wesley
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321374398 |
ISBN-13: 9780321374394
Flash Review Series: Algebra
Becker
©2004 | Pearson | Paper | Instock
ISBN-10: 0321143094 |
ISBN-13: 9780321143099
Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394755 |
ISBN-13: 9780321394750
Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 |
ISBN-13: 9780321357748
Math for Allied Health Study/Reference Card
Forshier
©2006 | Pearson | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 |
ISBN-13: 9780321336545
Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Pearson | Paper; 48 pp | Instock
ISBN-10: 0201728966 |
ISBN-13: 9780201728965
Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 |
ISBN-13: 9780321069184
Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Pearson | Paper | Instock
ISBN-10: 0321566041 |
ISBN-13: 9780321566041
Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 |
ISBN-13: 9780321473325
Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 |
ISBN-13: 9780201773477
Saleable Technology Bundle, 2/E
Pearson
©2009 | Pearson | Multiple Media Package |
Estimated Availability : 09/01/2008
ISBN-10: 0321561880 |
ISBN-13: 9780321561886
Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 |
ISBN-13: 9780321438584
Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Pearson | Access Code Card | Instock
ISBN-10: 0201721708 |
ISBN-13: 9780201721706
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This package contains:
Beckmann, Activities Manual, 2/E (2008)
Beckmann, Mathematics for Elementary Teachers, 2/E (2008)
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