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Mathematics : A Good Beginning, Text Only

Mathematics : A Good Beginning, Text Only - 5th edition

Cover of Mathematics : A Good Beginning, Text Only 5TH 95 (ISBN -)
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Edition/Copyright: 5TH 95
Publisher: Brooks/Cole Publishing Co.
Published: 1995
International: No

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Mathematics : A Good Beginning, Text Only - 5TH 95 edition

ISBN13: -

Andria P. Troutman

Cover type:
Edition/Copyright: 5TH 95
Publisher: Brooks/Cole Publishing Co.

Published: 1995
International: No
Summary

Troutman and Lichtenberg's best-selling text offers many features, chapters, and topics to reflect current research in mathematics education, the philosophy and recommendations of the NCTM, and the growing use of technology in the classroom. This highly respected text is known for its imaginative, class-tested activities, its practical teaching strategies, and its ability to explain and develop mathematical concepts clearly and succinctly. It has helped thousands of teachers and teachers-in-training gain the competence and confidence they need to develop a sound mathematics program in their K-8 classrooms that takes into account the learning needs of children.

  • This edition allows teachers to consider the learning of mathematics within many contexts. For example: How does a multicultural environment affect the teaching process? Within this process, how do we reward the learning of mathematics? How can interdisciplinary themes and cooperative learning help readers develop abilities that will enhance future employment opportunities?

  • Chapter 0, "Problem-Solving: A Way of Life" guides readers through a problem-solving model and sets the stage for the rest of the book. Elements from this chapter are integrated throughout the book in discussions, activities for children, and special sections called "The Problem Solving Connection" and "A Problem-Solving Challenge For You".

  • Chapter 1, "Planning Learning Experiences: From the Child's Perspective," builds a model for mathematics instruction based on constructivism and a developmental view of learning and demonstrates strategies for preparing and sequencing learning experiences that enable children to construct mathematical concepts while establishing confidence and positive attitudes.

  • Chapter 11, "Believe, Think, Then Solve: Building Problem-Solving Environments for Children," illustrates concepts recommended by the NCTM such as mathematical inquiry, mathematical reasoning, mathematics as communication, and mathematical patterns and offers techniques that will help teachers organize learning environments in which problem solving is an enjoyable and natural outcome.

  • Chapter 19, "Encouraging Student Growth: Assessment and Diagnosis," encompasses in-depth coverage of alternate methods of assessment as it relates to diagnosing, preventing, and remediating mathematical difficulties.

  • Eight Mini-Chapters (two to three pages in length) deal with important topics or issues such as constructivism; cooperative learning and effective interaction; metacognition and mathematics; using commercial manipulatives; mathematics as an interdisciplinary theme; multiculturalism and mathematics; teaching children of poverty; and mathematics, equity, and gender.

  • "A Problem-Solving Challenge for You" sections in most chapters offer challenging problems for the prospective or in-service teacher to solve.

  • "Teachers in the Real World" sections profile practicing teachers and give readers a glimpse of everyday challenges.

  • Hundreds of imaginative, class-tested activities provide specific examples of how to communicate effectively with children on their level.

  • Dozens of material sheets (many new to this edition) at the back of the book can be used to make resourceful and creative skill-building activities for children and serve as models for other imaginative activities.

Table of Contents

Problem-Solving A Way of Life (Macintosh).

1. Planning Learning Experiences: From the Child's Perspective (Mac).

2. Getting Ready for a Good Beginning: Learning Pre-Number Concepts (PC).

3. 100s, 10s, 1s ... The Best Yet!: Our Base-Ten Numeration System (Macintosh).

4. Addition and Subtraction of Whole Numbers: Constructing Meaning (PC).

5. Addition and Subtraction Algorithms for Whole Numbers: Building, Understanding, Applying, and Estimating (PC).

6. Multiplication and Division of Whole Numbers: Constructing Meaning (PC).

7. Multiplication and Division Algorithms of Whole Numbers Building, Understanding, Estimating, and Applying (PC).

8. Some Theory About Numbers: Factors, Multiples, Primes, and Composites (PC).

9. Not All Numbers Are Whole Numbers: Representing, Adding and Subtracting Rational Numbers (PC).

10. Security is Knowing Why: Multiplying and Dividing Rational Numbers (Macintosh).

11. Believe, Think, Then Solve: Building Problem Solving Environments for Children (PC).

12. The Shape of Things: Geometric Figures and Relationships (Macintosh).

13. Superstitious? Not Us...

14. Seeing is Believing: Constructing Geometric Ideas (Macintosh).

15. Before You Teach Measurement: Attributes of Measurement (PC).

16. Sizing it Up: The Measurement of Attributes (Macintosh).

17. Making Numbers Count: Organizing, Representing and Interpreting Data (PC).

18. Computers and Mathematics Instruction Status and Direction (PC).

19. Encouraging Student Growth: Assessment and Diagnosis (PC).

20 The End... Your Beginning: Toward Efficient Instruction (Macintosh).


Appendix A-Selected Answers to Problem Solving Challenges and Think Tank Exercises.
Appendix B-Summary of NCTM Standards.
Appendix C-Material Sheets.

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