Teaching Secondary Mathematics

by Brumbaugh; Douglas K.

• ISBN13: 9780805854718
• ISBN10: 0805854711
• Edition: 3rd
• Format: Nonspecific Binding
• Copyright: 2006-05-30
• Publisher: Lawrence Erlbau

Summary

Teaching Secondary Mathematics, Third Editionis practical, student-friendly, and solidly grounded in up-to-date research and theory. This popular text for secondary mathematics methods courses provides useful models of how concepts typically found in a secondary mathematics curriculum can be delivered so that all students develop a positive attitude about learning and using mathematics in their daily lives. A variety of approaches, activities, and lessons is used to stimulate the reader's thinking--technology, reflective thought questions, mathematical challenges, student-life based applications, and group discussions. Technology is emphasized as a teaching tool throughout the text, and many examples for use in secondary classrooms are included. Icons in the margins throughout the book are connected to strands that readers will find useful as they build their professional knowledge and skills: Problem Solving, Technology, History, the National Council of Teachers of Mathematics Principles for School Mathematics, and "Do" activities asking readers to do a problem or activity before reading further in the text. By solving problems, and discussing and reflecting on the problem settings, readers extend and enhance their teaching professionalism, they become more self-motivated, and they are encouraged to become lifelong learners. The text is organized in three parts: *General Fundamentals--Learning Theory, Curriculum; and Assessment; Planning; Skills in Teaching Mathematics; *Mathematics Education Fundamentals--Technology; Problem Solving; Discovery; Proof; and *Content and Strategies--General Mathematics; Algebra 1; Geometry; Advanced Algebra and Trigonometry; Pre-Calculus; Calculus. New in the Third Edition: *All chapters have been thoroughly revised and updated to incorporate current research and thinking. *The National Council of Teachers of Mathematics Standards 2000 are integrated throughout the text. *Chapter 5, Technology, has been rewritten to reflect new technological advances. *A Learning Activity ready for use in a secondary classroom has been added to the end of each chapter. *Two Problem-Solving Challenges with solutions have been added at the end of each chapter. *Historical references for all mathematicians mentioned in the book have been added within the text and in the margins for easy reference. *Updated Internet references and resources have been incorporated to enhance the use of the text.

Table of Contents

Preface	vii
About the Authors	xi
Part I: General Fundamentals	1	(126)
Introduction	3	(25)
Learning Theory, Curriculum, and Assessment	28	(42)
Planning	70	(24)
Skills in Teaching Mathematics	94	(33)
Part II: Mathematics Education Fundamentals	127	(126)
Technology	129	(43)
Problem Solving	172	(30)
Discovery	202	(29)
Proof	231	(22)
Part III: Content and Strategies	253	(206)
General Mathematics	255	(50)
Algebra I	305	(42)
Geometry	347	(26)
Advanced Algebra and Trigonometry	373	(31)
Pre-Calculus	404	(16)
Calculus	420	(20)
Probability and Statistics	440	(19)
Author Index	459	(2)
Subject Index	461