Mathematics in middle and secondary school : a problem solving approach / by Alexander Karp, Teachers College, Columbia University, Nicholas Wasserman, Teachers College, Columbia University.

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Bibliographic Details
Main Authors:	Karp, Alexander (Author), Wasserman, Nicholas (Author)
Format:	eBook
Language:	English
Published:	Charlotte, NC : Information Age Publishing, Inc., [2014]
Subjects:	Problem solving > Study and teaching (Middle school) Problem solving > Study and teaching (Secondary) MATHEMATICS > Essays. MATHEMATICS > Pre-Calculus. MATHEMATICS > Reference.
Online Access:	Click for online access

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.

Mathematics in middle and secondary school : a problem solving approach / by Alexander Karp, Teachers College, Columbia University, Nicholas Wasserman, Teachers College, Columbia University.

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