The Art of Problem Solving
A Resource for the Mathematics Teacher
Alfred S. Posamentier
- Mercy College, New York, USA
Purchase
Paperback
ISBN:
9780803963627
Available from
January 0001
Description
As a mathematics teacher, you know how hard it can be for your students to understand and solve math problems. The old ways of problem solving don't always work. Even the most innovative teachers need some fresh ideas to make mathematics something students comprehend and enjoy.
Problem solving is the main theme of this new, idea-filled handbook. The chapter authors look at the subject in a completely new light, and the result is an enticing, entertaining, and useful resource.
The editors of this guidebook present a host of interesting ideas that range from practical to theoretical, from common to glitzy, that you can adapt for use in your classroom. With margin notes identifying subject matter and strategy type, this book is as easy to read as it is valuable.
Full of important ideas on:
* Interest grabbers
* The pigeonhole approach
* Combinatorics, or counting without really counting
* Symmetry
* Graph theory
* Using game strategies
Mathematics professionals from all over the world bring you their personal favorite strategies for problem solving. The chapters are independent of each other, and the editors encourage you to use the chapters in whatever order suits your needs.
If you have ever despaired of making mathematics into a favorite subject for yourself and your class, this is the book you need. These passionate professionals give you new insight into the art of problem solving.
Contents
Strategies for Problem Exploration
Strategies for Problem Exploration
Unconventional Problem-Solving Strategies in Mathematics Instruction
Unconventional Problem-Solving Strategies in Mathematics Instruction
Interest Grabbers
- Exciting Motivational Problems with Punch and Personality
Check the Answer, Please!
Check the Answer, Please!
The Logic of Error
The Logic of Error
Trial and Success
Trial and Success
Reduce, Expand, and Look for a Pattern
Reduce, Expand, and Look for a Pattern
A Pigeonhole Principle for Problem Solving
A Pigeonhole Principle for Problem Solving
Handling, Seeing, and Thinking Experiences in Mathematics
Handling, Seeing, and Thinking Experiences in Mathematics
Problem Solving as a Continuous Principle for Teaching
- Suggestions and Examples
Another View of Combinatorics (or Counting without Really Counting)
Another View of Combinatorics (or Counting without Really Counting)
Problem Solving by the Use of Functions
Problem Solving by the Use of Functions
Symmetry Saves the Solution
Symmetry Saves the Solution
An Application of Congruence Transformations in Problem Solving
An Application of Congruence Transformations in Problem Solving
Graph Theory
- Tools to Solve Mathematical Problems
A Different Solution for Problems with Extreme Values
- A Didactic Journey into the World of Jakob Steiner's Ideas
The Problem of the Duplication of a Cube
The Problem of the Duplication of a Cube
Solving Mathematical Problems Using Game Strategies
Solving Mathematical Problems Using Game Strategies
Cooperative Learning Approaches to Mathematical Problem Solving
Cooperative Learning Approaches to Mathematical Problem Solving
Problem Solving and the Mathematically Gifted Student
- A Psychological Perspective
Description
As a mathematics teacher, you know how hard it can be for your students to understand and solve math problems. The old ways of problem solving don't always work. Even the most innovative teachers need some fresh ideas to make mathematics something students comprehend and enjoy.
Problem solving is the main theme of this new, idea-filled handbook. The chapter authors look at the subject in a completely new light, and the result is an enticing, entertaining, and useful resource.
The editors of this guidebook present a host of interesting ideas that range from practical to theoretical, from common to glitzy, that you can adapt for use in your classroom. With margin notes identifying subject matter and strategy type, this book is as easy to read as it is valuable.
Full of important ideas on:
* Interest grabbers
* The pigeonhole approach
* Combinatorics, or counting without really counting
* Symmetry
* Graph theory
* Using game strategies
Mathematics professionals from all over the world bring you their personal favorite strategies for problem solving. The chapters are independent of each other, and the editors encourage you to use the chapters in whatever order suits your needs.
If you have ever despaired of making mathematics into a favorite subject for yourself and your class, this is the book you need. These passionate professionals give you new insight into the art of problem solving.
Contents
Strategies for Problem Exploration
Strategies for Problem Exploration
Unconventional Problem-Solving Strategies in Mathematics Instruction
Unconventional Problem-Solving Strategies in Mathematics Instruction
Interest Grabbers
- Exciting Motivational Problems with Punch and Personality
Check the Answer, Please!
Check the Answer, Please!
The Logic of Error
The Logic of Error
Trial and Success
Trial and Success
Reduce, Expand, and Look for a Pattern
Reduce, Expand, and Look for a Pattern
A Pigeonhole Principle for Problem Solving
A Pigeonhole Principle for Problem Solving
Handling, Seeing, and Thinking Experiences in Mathematics
Handling, Seeing, and Thinking Experiences in Mathematics
Problem Solving as a Continuous Principle for Teaching
- Suggestions and Examples
Another View of Combinatorics (or Counting without Really Counting)
Another View of Combinatorics (or Counting without Really Counting)
Problem Solving by the Use of Functions
Problem Solving by the Use of Functions
Symmetry Saves the Solution
Symmetry Saves the Solution
An Application of Congruence Transformations in Problem Solving
An Application of Congruence Transformations in Problem Solving
Graph Theory
- Tools to Solve Mathematical Problems
A Different Solution for Problems with Extreme Values
- A Didactic Journey into the World of Jakob Steiner's Ideas
The Problem of the Duplication of a Cube
The Problem of the Duplication of a Cube
Solving Mathematical Problems Using Game Strategies
Solving Mathematical Problems Using Game Strategies
Cooperative Learning Approaches to Mathematical Problem Solving
Cooperative Learning Approaches to Mathematical Problem Solving
Problem Solving and the Mathematically Gifted Student
- A Psychological Perspective
The Art of Problem Solving
A Resource for the Mathematics Teacher
December 1995 | 480 pages | Corwin
| Format | Published Date | ISBN | Price |
|---|---|---|---|
| Paperback | 27/02/2023 | 9780803963627 | $48.95 |
As a mathematics teacher, you know how hard it can be for your students to understand and solve math problems. The old ways of problem solving don't always work. Even the most innovative teachers need some fresh ideas to make mathematics something students comprehend and enjoy.
Problem solving is the main theme of this new, idea-filled handbook. The chapter authors look at the subject in a completely new light, and the result is an enticing, entertaining, and useful resource.
The editors of this guidebook present a host of interesting ideas that range from practical to theoretical, from common to glitzy, that you can adapt for use in your classroom. With margin notes identifying subject matter and strategy type, this book is as easy to read as it is valuable.
Full of important ideas on:
* Interest grabbers
* The pigeonhole approach
* Combinatorics, or counting without really counting
* Symmetry
* Graph theory
* Using game strategies
Mathematics professionals from all over the world bring you their personal favorite strategies for problem solving. The chapters are independent of each other, and the editors encourage you to use the chapters in whatever order suits your needs.
If you have ever despaired of making mathematics into a favorite subject for yourself and your class, this is the book you need. These passionate professionals give you new insight into the art of problem solving.
Table Of Contents:
- Strategies for Problem Exploration
- Unconventional Problem-Solving Strategies in Mathematics Instruction
- Interest Grabbers
- Exciting Motivational Problems with Punch and Personality
- Check the Answer, Please!
- The Logic of Error
- Trial and Success
- Reduce, Expand, and Look for a Pattern
- A Pigeonhole Principle for Problem Solving
- Handling, Seeing, and Thinking Experiences in Mathematics
- Problem Solving as a Continuous Principle for Teaching
- Suggestions and Examples
- Another View of Combinatorics (or Counting without Really Counting)
- Problem Solving by the Use of Functions
- Symmetry Saves the Solution
- An Application of Congruence Transformations in Problem Solving
- Graph Theory
- Tools to Solve Mathematical Problems
- A Different Solution for Problems with Extreme Values
- A Didactic Journey into the World of Jakob Steiner's Ideas
- The Problem of the Duplication of a Cube
- Solving Mathematical Problems Using Game Strategies
- Cooperative Learning Approaches to Mathematical Problem Solving
- Problem Solving and the Mathematically Gifted Student
- A Psychological Perspective