Mathematics for Elementary Teachers: An Activity Approach

by Bennett, Albert; Nelson, Ted; Burton, Laurie

• ISBN13: 9780077430917
• ISBN10: 0077430913
• Edition: 9th
• Format: Spiral Bound
• Copyright: 2011-02-24
• Publisher: McGraw-Hill Education

Summary

The primary purpose of Mathematics for Elementary Teachers: An Activity Approachis to engage prospective elementary and middle-school teachers in mathematical activities that will enhance their conceptual knowledge, introduce them to important manipulatives, and model the kind of mathematical learning experiences they will be expected to provide for their students. The activities incorporate inductive thinking and the use of physical models and visual images to develop concepts and encourage higher-level reasoning. The Activity Approachcontains Activity Sets that correspond to each section of the text and augment the ideas presented in the sections. Each Activity Set consists of a sequence of inductive activities and experiments that enable the student to build an understanding of mathematical ideas through the use of models and the discovery of patterns. In addition, over thirty Material Cards are included that complement the color cardstock materials in the Manipulative Kit. A section on Ideas for the Elementary Classroomat the end of each chapter includes a suggested Elementary-School Activity that has been adapted from one of the chapter's Activity Sets. Additionally, a companion text, Mathematics for Elementary Teachers: A Conceptual Approach,is also available from the Bennett, Burton, and Nelson team. Mathematics for Elementary Teachers: A Conceptual Approachcan be used independently or along with Mathematics for Elementary Teachers: An Activity Approach.

Table of Contents

Mathematics for Elementary Teachers: An Activity Approach

Chapter 1: Problem Solving

1.1 Introduction to Problem Solving

1.2 Patterns and Problem Solving

1.3 Problem Solving with Algebra

Chapter 2: Sets, Functions, and Reasoning

2.1 Sets and Venn Diagrams

2.2 Functions, Coordinates, and Graphs

2.3 Introduction to Deductive Reasoning

Chapter 3: Whole Numbers

3.1 Numeration Systems

3.2 Addition and Subtraction

3.3 Multiplication

3.4 Division and Exponents

Chapter 4: Number Theory

4.1 Factors and Multiples

4.2 Greatest Common Factor and Least Common Multiple

Chapter 5: Integers and Fractions

5.1 Integers

5.2 Introduction to Fractions

5.3 Operations with Fractions

Chapter 6: Decimals: Rational and Irrational Numbers

6.1 Decimals and Rational Numbers

6.2 Operations with Decimals

6.3 Ratio, Percent, and Scientific Notation

6.4 Irrational and Real Numbers

Chapter 7: Statistics

7.1 Collecting and Graphing Data

7.2 Describing and Analyzing Data

7.3 Sampling, Predictions, and Simulations

Chapter 8: Probability

8.1 Single-Stage Experiments

8.2, 8.2 Multistage Experiments

Chapter 9: Geometric Figures

9.1 Plane Figures

9.2 Polygons and Tessellations

9.3 Space Figures

9.4 Symmetric Figures

Chapter 10: Measurement

10.1 Systems of Measurement

10.2 Area and Perimeter

10.3 Volume and Surface Area

Chapter 11: Motions in Geometry

11.1 Congruence and Constructions

11.2 Congruence Mappings

11.3 Similarity Mappings

References for Research Statements by Chapter

Answers to Selected Math Activities

Answers to Odd-Numbered Exercises and Problems and Chapter Tests