Mathematics in middle and secondary school : a problem solving approach /
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| Author / Creator: | Karp, Alexander, author. |
|---|---|
| Imprint: | Charlotte, NC : Information Age Publishing, Inc., [2014] |
| Description: | 1 online resource |
| Language: | English |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11238846 |
Table of Contents:
- Machine generated contents note: PART I
- 1. Challenges and Issues in Mathematics Education
- Why Teach Mathematics?
- What Is Mathematics?
- NCTM Principles
- Analyzing Lesson Characteristics: An Attempt at Lesson Studies
- Developing the Art of Teaching
- 2. Getting Ready to Teach
- Developing a Mathematics Curriculum
- Developing a Unit Plan
- Developing Lesson Plans
- PART II
- 3. What is Problem Solving and How it is Conceptualized in Mathematics?
- What is a Problem?
- How to Solve a Problem
- 4. Integrating Problem Solving into the Curriculum
- Examining School Reality
- What Roles Can Problem Solving Play in Teaching Mathematics?
- 5. Mathematical Investigation and How to Engage Students in It
- Why Pose Problems?
- Encouraging Students to Pose Problems
- 6. Posing Problems and Groups of Problems
- How to Pose Problems
- Creating Sets of Problems
- PART III
- 7. "The Science of Transposition and Cancellation"
- Algebra: Why is it so hard to teach?
- How to Solve It? A Selection of Problems
- Planning an Algebra Lesson
- 8. Patterns, Functions and Graphs in Mathematics and in School
- Work on the Concept of "Function"
- Overcoming Difficulties in Studying Functions
- 9. Patterns, Functions, and Graphs: Problem Solving and Lesson Planning
- How to Solve it? A Selection of Problems
- Planning Assessment in the Study of Functions
- 10. Solving Equations and Inequalities
- Equations and Inequalities: How They Are Studied and Solved
- How to Solve It? A Selection of Problems
- Planning a Lesson Devoted to Equations
- PART IV
- 11. Geometry as a Science and a School Subject
- How Geometry is Taught and Studied
- Using a Variety of Approaches
- 12. Geometry: Problem Solving and Lesson Planning
- How to Solve It? A Selection of Problems
- Planning a Lesson Devoted to Geometry
- PART V
- 13. Study of Discrete Mathematics
- Finding a Place for the New Course
- How to Solve It? A Selection of Problems
- Planning a Lesson Devoted to Discrete Mathematics.