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Teaching and Learning High School Mathematics

ISBN: 9780470454503 | 0470454504
Edition: 1
Format: Paperback
Publisher: Wiley
Pub. Date: 11/1/2009

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SummaryTable of Contents
A perfect resource for high school mathematics teachers, this book helps them develop or refine their own teaching philosophy. They'll learn how to create a supportive classroom environment in which their students think together, take intellectual risks, and debate ideas. They'll gain a better understanding about the importance of cooperative learning strategies through immersion. And they'll engage in logic and reasoning. Puzzles and activities are presented to bring the material to life as well. All of this will help high school mathematics b... MORE
... MORE
Course Introduction
Mathematics Education: Where Do I Stand?
Encouraging Communication in Mathematics Classrooms (Mathematics Strand: Logic and Reasoning)
Unit 1 Team-Builder: Carpet Square Maze
Preparing to Observe Mathematics Classrooms: Focus on Equity
Listening to Students Reason About Mathematics
Developing Questioning Strategies: Conjecturing and Reasoning
Exploring Mathematical Concepts Cooperatively: Reasoning with
Conditional Statements
Using Representations to Investigate Mathematics: Reasoning with
Conjunctions, Disjunctions, and Negations
Learning from Students: Valid and Invalid Arguments
Summarizing Classroom Observations and Listening to Students:
Focus on Equity
Synthesizing Unit One
Unit 1 Investigation: Carpet Square Mazes
High School Students and How They Learn (Mathematics Strands: Geometry and Measurement)
Unit 2 Team-Builder: Transformed Snowflakes
Preparing to Observe Mathematics Classrooms: Focus on Learning
Listening to Students Reason About Geometry
Understanding Geometry Learning: Coordinate Geometry
Building Conceptual Understanding: Congruence and Similarity
Learning Mathematics through Multiple Perspectives: Quadrilaterals and Constructions
Using Physical Tools and Technology: Circles
Tasks with High Cognitive Demand: Measurement in the Plane and in Space
Doing Mathematics: Axiomatic Systems
Summarizing Classroom Observations and Listening to Students
Synthesizing Unit Two
Unit 2 Investigation: Transformations
Planning for Instruction (Mathematics Strands: Algebra and Functions)
Unit 3 Team-Builder: Find Your Function Family
Preparing to Observe Mathematics Classrooms: Focus on Curriculum and Technology
Listening to Students Reason about Functions
Building on Students' Knowledge and Experiences: Understanding
Variables and Linear Functions
Thinking about Learning Outcomes: Exponential Functions
Active Learning: Modeling Data Through Experiments
Teaching with Technology: Geometry of Functions
Increasing Challenge or Accessibility of Problems: Polynomial Functions
Accommodating Different Learning Styles: Rational Functions
Summarizing Observations and Listening to Students
Synthesizing Unit Three
Unit 3 Investigation: Families of Functions
Lesson Planning (Mathematics Strands: Data Analysis and Probability)
Unit Four Team-Builder: A Dream Team in Hockey
Preparing to Observe Mathematics Classrooms: Focus on Teaching
Listening to Students Reason about Data Analysis and Probability
Planning a Lesson Launch and Explore: Data Analysis
Planning a Lesson Share and Summarize: Probability
Blending Direct Instruction into a Lesson: Variability and Distributions
Planning for Alternative Schedules: Statistical Decision Making
Summarizing Observations and Listening to Students
Synthesizing Unit Four
Unit 4 Investigation: Build Your Own Dream Team
Assessment of Students' Learning (Mathematics Strand: Precalculus)
Unit 5 Team-Builder: Conic Conundrums
Preparing to Observe Mathematics Classrooms:
Focus on Assessment
Listening to Students Reason about Precalculus
Daily Assessments: Limits
Rubrics: Rates of Change
Designing and Aligning Tests with Instruction
Alternative Assessments: Accumulations
Summarizing Observations and Listening to Students
Synthesizing Unit Five
Unit 5 Investigation: Conic Sections
Collaborating with Educational Partners
Listening to Educational Partners about Issues in Mathematics Education
Evaluating Curriculum Materials
Coordinating Curricula Beyond the Classroom
Continued Professional Development
Summarizing Interviews on Educational Issues
Synthesizing Unit Six
Table of Contents provided by Publisher. All Rights Reserved.


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