Nelson Higher Education

Higher Education

Mathematics for Teachers: An Interactive Approach for Grades K-8, 4th Edition

  • Thomas Sonnabend
  • ISBN-10: 0495561665
  • ISBN-13: 9780495561668
  • 864 Pages | Hardcover
  • Previous Editions: 2004, 1997, 1993
  • COPYRIGHT: 2010 Published
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Overview

About the Product

Mathematics for Teachers: An Interactive Approach for Grades K-8 actively involves students in developing and explaining mathematical concepts and how the topics relate to NCTM Standards and Curriculum focal points. The text includes coverage of reasoning, sets, arithmetic, geometry, measurement, algebra, statistics, and probability. The carefully organized, interactive lesson format promotes student involvement and gradually leads the student to a deeper understanding of mathematical ideas.

Features

  • Classroom Connections help students make the connection to concepts taught in the elementary and middle school classroom. Some of these boxes feature challenging situations from K-8 classrooms that students must analyze. Other boxes feature pages from K-8 mathematics textbooks.

  • The book comes with either activity cards that can be cut out or reproduced for use with lab activities in the textbook.

  • Technology coverage includes more use of fraction calculators, graphing calculators, and dynamic geometry software.

  • The Lesson Exercises (LE) are a distinguishing feature of the text and constitute its interactive nature. While other texts offer the standard set of worked examples in each section, Sonnabend features unique Lesson Exercises organized into various categories, such as openers, reasoning, skill, concept, and summary. This thoughtful, engaging approach thoroughly develops students' understanding of the course concepts as well as an appreciation for the value of multiple problem-solving approaches, a skill critical to their own future as teachers.

  • The text emphasizes discovery, discussion, and explanation of concepts that involve students and deepens their understanding.

About the Author

Thomas Sonnabend

Dr. Thomas Sonnabend is currently in his 17th year teaching mathematics at Montgomery College. He recently developed an expanded program of three mathematics courses for elementary teachers that began during the 2002-2003 school year. He has done in-service work with elementary school teachers and has taught grades five and nine-twelve in New York City. Having published over 23 book reviews in the MATHEMATICS TEACHER, two articles "Calculus Reform: An Interview with Tom Sonnabend" and "Cooperative Learning in Mathematics for Elementary School Teachers," as well as the previous editions of MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS. Dr. Sonnabend is a trusted and well-established academic and was named the Maryland College Teacher of the Year for 2001 by the Maryland Council of Teachers of Mathematics. He was also listed in the 1996 edition of MEN OF ACHIEVEMENT.

Table of Contents

Introduction.
1. MATHEMATICAL REASONING.
Inductive Reasoning. Deductive Reasoning. Inductive and Deductive Reasoning. Patterns. Problem Solving. Problem Solving Strategies and Skills.
2. SETS AND FUNCTIONS.
Sets. Operations on Two Sets. Functions and Relations.
3. WHOLE NUMBERS.
Numeration Systems. Addition and Subtraction of Whole Numbers. Multiplication and Division of Whole Numbers. Properties of Whole-Number Operations. Algorithms for Whole-Number Addition and Subtraction.
Algorithms for Whole-Number Multiplication and Divisions. Whole Numbers: Mental Computation and Estimation. Place Value and Algorithms in Other Bases.
4. NUMBER THEORY.
Factors. Divisibility. Prime and Composite Numbers. Common Factors and Multiples.
5. INTEGERS.
Addition and Subtraction of Integers. Multiplication and Division of Integers. Properties of Integer Operations.
6. RATIONAL NUMBERS AS FRACTIONS.
Rational Numbers. Addition and Subtraction of Rational Numbers. Multiplication and Division of Rational Numbers. Rational Numbers: Properties, Estimation, and Error Patterns.
7. DECIMALS, PERCENTS AND REAL NUMBERS.
Decimals: Place Value, Estimation and Mental Computation. Decimal Arithmetic and Error Patterns. Ratio and Proportion. Percents. Percents: Mental Computation, Estimation and Change. Rational, Irrational, and Real Numbers.
8. INTRODUCTORY GEOMETRY.
Beginning Geometry. Polygons. Triangles, Quadrilaterals and Circles. Angle Measures of Polygons. Three-Dimensional Geometry. Viewing and Drawing Solid Figures.
9. CONGRUENCE, SYMETRY AND SIMILARITY.
Transformations and Congruence. Applications of Transformations. Constructions and Congruence. Symmetry. Similarity and Dilations.
10. MEASUREMENT.
Systems of Measurement. Perimeter and Area. Area of Quadrilaterals, Triangles, and Circles. The Pythagorean Theorem. Surface Area. Volume. Lengths, Areas, and Volumes of Similar Figures.
11. ALGEBRA AND GRAPHING.
The Language of Algebra. Solving Equations and Inqualities. Linear Functions.
Non-Linear Functions.
12. STATISTICS.
Observational Studies and Experiments. Statistical Graphs and Tables. Misleading Graphs and Statistics. Mode, Median, and Mean. Measuring Spread. Standardized Test Scores.
13. PROBABILITY.
Experimental and Theoretical Probability. Probability Rules and Simulations. Counting.
Independent and Dependent Events. Expected Values and Odds.

New to this edition

  • Relevant objects from NCTM Curriculum Focal Points and Standards are listed at the beginning of each section.
  • 15% of exercises are new or revised.
  • Streamlined sets of Lesson Exercises have clearer instructions and more hints for improved focus on major lesson topics.
  • Updated grades K-8 textbook pages feature topics of interest in the current curriculum.
  • Revised terminology matches the current K-8 Curriculum.

Supplements

All supplements have been updated in coordination with the Main title.
Please see Main title page for new to this edition information.

Instructor Supplements

Instructor's Resource Manual  (ISBN-10: 0495561770 | ISBN-13: 9780495561774)
Solutions Builder Online  (ISBN-10: 0495561762 | ISBN-13: 9780495561767)
Complete Solutions Manual  (ISBN-10: 0495561673 | ISBN-13: 9780495561675)
Algorithmic ExamView®  (ISBN-10: 049556169X | ISBN-13: 9780495561699)
WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses  (ISBN-10: 1285858034 | ISBN-13: 9781285858036)

IMPORTANT: When purchasing this instant access code for Liberal Arts Math & Teacher Math, ensure that you are using it in one of the following courses: Mathematical Excursions, Topics in Contemporary Mathematics, Elementary Technical Mathematics, Mathematics for Teachers or Math for Liberal Arts. Use with a different course may cause complications with access. Exclusively from Cengage Learning, WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.

Student Supplements

eBook: Mathematics for Teachers: Interactive Approach for Grade K-8  (ISBN-10: 1439065837 | ISBN-13: 9781439065839)
Student's Solutions Manual  (ISBN-10: 0495561703 | ISBN-13: 9780495561705)

This manual provides completely worked-out solutions to all the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

WebAssign  (ISBN-10: 0495561746 | ISBN-13: 9780495561743)

It’s not about doing homework … it’s about actually learning concepts Forget everything you thought about completing math or science assignments. WebAssign is not about memorizing formulas. It’s about achieving success and gaining a deep understanding of math and science. You get coached WebAssign breaks down math and science problems into small, achievable steps. Using built-in tools, you get the help you need – even when you are stuck. You get instant feedback A system of “bonus” and “penalty” points identifies the areas you need to work on. And you’re never marked down for entering a differently formatted correct answer. You get prepped Because your instructor tailors WebAssign to the course goals, every reading, video, exercise and quiz is there to prepare you for finals. No more exam “surprises”! Student Testimonial: “Learning at your own pace, instant grades online, tutorials, videos and practice problems — WebAssign has everything I need.” 3rd-Year Student Anoka-Ramsey Community College CTA: Ask your instructor how you can get access today. www.cengage.com/WebAssign

Activities Manual  (ISBN-10: 0495561738 | ISBN-13: 9780495561736)
WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses  (ISBN-10: 1285858034 | ISBN-13: 9781285858036)

IMPORTANT: When purchasing this instant access code for Liberal Arts Math & Teacher Math, ensure that you are using it in one of the following courses: Mathematical Excursions, Topics in Contemporary Mathematics, Elementary Technical Mathematics, Mathematics for Teachers or Math for Liberal Arts. Use with a different course may cause complications with access. Exclusively from Cengage Learning, WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

If your instructor has chosen to package Enhanced WebAssign with your text, this manual will help you get up and running quickly with the Enhanced WebAssign system so you can study smarter and improve your performance in class.

Bundle: Text + WebAssign Printed Access Card for Sonnabend's Mathematics for Teachers: An Interactive Approach for Grades K-8, 4th Edition, Single-Term  (ISBN-10: 0538781637 | ISBN-13: 9780538781633)

Mathematics for Teachers: An Interactive Approach for Grades K-8 actively involves students in developing and explaining mathematical concepts and how the topics relate to NCTM Standards and Curriculum focal points. The text includes coverage of reasoning, sets, arithmetic, geometry, measurement, algebra, statistics, and probability. The carefully organized, interactive lesson format promotes student involvement and gradually leads the student to a deeper understanding of mathematical ideas.