Teaching Mathematics in Secondary and Middle School An Interactive Approach

ISBN-10: 0130950181

ISBN-13: 9780130950185

Edition: 3rd 2003

List price: $183.40
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Book details

List price: $183.40
Edition: 3rd
Copyright year: 2003
Publisher: Prentice Hall PTR
Publication date: 5/15/2002
Binding: Paperback
Pages: 436
Size: 8.00" wide x 10.50" long x 0.75" tall
Weight: 1.980
Language: English

Beginning a Career as a Professional Mathematics Teacher
Goal and Objectives for Chapter 1
Preservice Preparation and Professional Portfolios
Selecting a Teaching Position
Teaching Loads and Other Responsibilities
Organizing for the Year
The Beginning of an Eventful School Year
Learning From Experiences
Synthesis Activities for Chapter 1
Transitional Activity From Chapter 1 to Chapter 2
Gaining Students' Cooperation in an Environment Conducive to Doing Mathematics
Goal and Objectives for Chapter 2
Well-Planned Lessons Gone Awry
Allocated and Transition Times
Student Behaviors
Establishing a Favorable Climate for Learning Mathematics
Communicating and Interacting With Students
Communicating With Students' Parents
Establishing Standards for Conduct and Routine Classroom Procedures
Working With Students as Individuals
Systematically Dealing With Off-Task Behaviors
Synthesis Activities for Chapter 2
Transitional Activity From Chapter 2 to Chapter 3
Motivating Students to Engage in Mathematical Learning Activities
Goal and Objectives for Chapter 3
Motivating Students to Do Mathematics
Directing Students Into Learning Activities
Variety of Learning Activities
Engaging Students in Large-Group Presentations
Responding to Students' Questions
Asking Students Questions
Engaging Students in Cooperative-Learning Sessions
Engaging Students in Independent-Work Sessions
Motivating Students to Complete Homework Assignments
Synthesis Activities for Chapter 3
Transitional Activity From Chapter 3 to Chapter 4
Developing Mathematics Curricula
Goal and Objectives for Chapter 4
A Curriculum
The Gap Between Research-Based Mathematics Curricula and Typical Practice
PSSM's Equity Principle
PSSM's Curriculum Principle
PSSM's Teaching Principle
PSSM's Learning Principle
PSSM's Assessment Principle
PSSM's Technology Principle
PSSM's Content Standards and Expectations
PSSM's Process Standards
Designing Mathematics Courses
Teaching Units
Daily Planning
Synthesis Activities for Chapter 4
Transitional Activity From Chapter 4 to Chapter 5
Leading Students to Construct Concepts and Discover Relationships
Goal and Objectives for Chapter 5
Mathematical Concepts
Inductive Reasoning
Construct-a-Concept Objectives
Lessons for Construct-a-Concept Objectives
Miniexperiments Relevant to Students' Achievement of Construct-a-Concept Objectives
Discoverable Mathematical Relationships
Discover-a-Relationship Objectives
Lessons for Discover-a-Relationship Objectives
Miniexperiments Relevant to Students' Achievement of Discover-a-Relationship Objectives
Synthesis Activities for Chapter 5
Transitional Activity From Chapter 5 to Chapter 6
Leading Students to Develop Knowledge and Algorithmic Skills
Goal and Objectives for Chapter 6
Mathematical Information to Be Remembered
The Acquisition and Retention of Information
Simple-Knowledge Objectives
Lessons for Simple-Knowledge Objectives
Miniexperiments Relevant to Students' Achievement of Simple-Knowledge Objectives
Algorithms
Algorithmic-Skill Objectives
Lessons for Algorithmic-Skill Objectives
Miniexperiments Relevant to Students' Achievement of Algorithmic-Skill Objectives
Synthesis Activities for Chapter 6
Transitional Activity From Chapter 6 to Chapter 7
Leading Students to Communicate With Mathematics
Goal and Objectives for Chapter 7
The Power of Mathematical Language
What Is the Question?
Negotiating the Language of Mathematics
Comprehension-and-Communication Objectives
Lessons for Comprehension-and-Communication Objectives
Speaking, Listening to, and Writing Mathematics
Miniexperiments Relevant to Students' Achievement of Comprehension-and-Communication Objectives
Synthesis Activities for Chapter 7
Transitional Activity From Chapter 7 to Chapter 8
Leading Students to Creatively Use Mathematics
Goal and Objectives for Chapter 8
Deductive Reasoning for Problem Solving
Application Objectives
Lessons for Application Objectives
A Four-Stage Lesson for an Application Objective
Miniexperiments Relevant to Students' Achievement of Application Objectives
Doing Mathematics Creatively
Creative-Thinking Objectives
Lessons for Creative-Thinking Objectives
Incorporating Synectics Into Creative-Thinking Lessons
Miniexperiments Relevant to Students' Achievement of Creative-Thinking Objectives
Influencing Students' Attitudes About Mathematics
Miniexperiments Relevant to Students' Achievement of Affective Objectives
Synthesis Activities for Chapter 8
Transitional Activity From Chapter 8 to Chapter 9
Assessing and Reporting Students' Progress With Mathematics
Goal and Objectives for Chapter 9
Complex Decisions
Measurement Usefulness
Common Malpractice
Designing Measurements of Students' Achievement of Unit Goals
Using Test Results for Formative Feedback
Assigning Grades to Measurement Scores
Portfolios for Communicating Summative Evaluations of Student Achievement
Tests You Did Not Design
High-Stakes Tests
Synthesis Activities for Chapter 9
Transitional Activity From Chapter 9 to Chapter 10
Technology and Resources for Teaching and Learning Mathematics
Goal and Objectives for Chapter 10
Selection and Use of Textbooks
Sources of Ideas for Teaching Mathematics
Hands-On Manipulatives and Concrete Models
Computer-Assisted Mathematics Teaching
Calculator-Assisted Mathematics Teaching
Technology for Presentations
Extending Your Mathematics Classroom Beyond the Walls of the School
Synthesis Activities for Chapter 10
Transitional Activity From Chapter 10 to Chapter 11
Analyzing Examples of Mathematics Curricula and Instructional Practice
Goal and Objectives for Chapter 11
Building From Experiences
A Sixth-Grade Mathematics Course
A Prealgebra Course
An Algebra I Course
A Geometry Course
Algebra II, Trigonometry, and Precalculus
A Life-Skills Mathematics Course
AP and Concurrent-Enrollment Mathematics Courses
Synthesis Activities for Chapter 11
Glossary
References
Index
About the Author
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