Mathematics for Elementary Teachers via Problem Solving
Published on 21. March 2002
Book
Paperback/Softback
512 pages
978-0-13-017345-4 (ISBN)
Description
Appropriate for courses in Mathematics for Elementary Teachers in departments of education or as a service course offered by the mathematics dept. for education majors. This is the math content not the methods course.
Mathematics for Elementary Teachers via Problem Solving is comprised of two components-The Student Activities Manual, which is the primary tool for classroom use, and the Student Resource Handbook. This two-part learning system for prospective K-6 teachers uses activities to help students develop a deep and lasting understanding of the mathematical concepts, procedures, and skills that are essential for teaching mathematics to elementary school children.
Mathematics for Elementary Teachers via Problem Solving is comprised of two components-The Student Activities Manual, which is the primary tool for classroom use, and the Student Resource Handbook. This two-part learning system for prospective K-6 teachers uses activities to help students develop a deep and lasting understanding of the mathematical concepts, procedures, and skills that are essential for teaching mathematics to elementary school children.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 277 mm
Width: 218 mm
Thickness: 29 mm
Weight
1045 gr
ISBN-13
978-0-13-017345-4 (9780130173454)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
(NOTE: Contents for both the Student Activity Manual and Student Resource Handbook. Each chapter contains a Things to Know and Exercise and More Problems.)
1. Getting Started in Learning Mathematics via Problem Solving.
2. Numeration.
Numeration Systems. Understanding Place Value Through Different Bases.
3. Operations on Natural Numbers, Whole Numbers and Integers.
Natural Numbers, Whole Numbers, Integers, and Their Properties. Operations with Whole Numbers. Operations with Integers. Algorithms.
4. Number Theory.
Primes, Composites, and Prime Factorization. Divisibility. Modular Arithmetic. Representations of Number-Theory Ideas.
5. Data and Chance.
Probability. Statistics.
6. Fraction Models and Operations.
Three Ways to Represent Fractions. Using the Region Model of Fractions. Using the Linear Model of Fractions. Using the Set Model of Fractions. Operations with Fractions.
7. Real Numbers: Rationals and Irrationals.
Ratio and Proportion. A Fourth Way to Represent Fractions. A Fifth Way to Represent Fractions. Exploring Irrational Numbers.
8. Patterns and Functions.
Variables. Patterns. Iteration. Functions and Equations.
9. Geometry.
Thinking Mathematically and Geometrically. Lines and Angles. Polygons. Congruence and Similarity. Proof. Exploring Non-Euclidean Geometry.
10. Measurement.
One- and Two-dimensional Measurement. Three-dimensional Measurement. Analytic and Transformational Geometry. Tessellations.
Exercises and More Problems.
Appendix A: Pages to Accompany Selected Activities.
1. Getting Started in Learning Mathematics via Problem Solving.
2. Numeration.
Numeration Systems. Understanding Place Value Through Different Bases.
3. Operations on Natural Numbers, Whole Numbers and Integers.
Natural Numbers, Whole Numbers, Integers, and Their Properties. Operations with Whole Numbers. Operations with Integers. Algorithms.
4. Number Theory.
Primes, Composites, and Prime Factorization. Divisibility. Modular Arithmetic. Representations of Number-Theory Ideas.
5. Data and Chance.
Probability. Statistics.
6. Fraction Models and Operations.
Three Ways to Represent Fractions. Using the Region Model of Fractions. Using the Linear Model of Fractions. Using the Set Model of Fractions. Operations with Fractions.
7. Real Numbers: Rationals and Irrationals.
Ratio and Proportion. A Fourth Way to Represent Fractions. A Fifth Way to Represent Fractions. Exploring Irrational Numbers.
8. Patterns and Functions.
Variables. Patterns. Iteration. Functions and Equations.
9. Geometry.
Thinking Mathematically and Geometrically. Lines and Angles. Polygons. Congruence and Similarity. Proof. Exploring Non-Euclidean Geometry.
10. Measurement.
One- and Two-dimensional Measurement. Three-dimensional Measurement. Analytic and Transformational Geometry. Tessellations.
Exercises and More Problems.
Appendix A: Pages to Accompany Selected Activities.