## Manipulatives for Problem Solving(Index)

CONTENT: This file contains a sequence of pages that provide material from which manipulatives for teaching logical problem solving can be constructed.

The material extends the use of the idea of text reconstruction that has been found useful in devloping reading comprehension and writing effectiveness. A variety of applications of logical reasoning can be found in the work of Arthur Whimbey. This includes TAPS (Thinking Aloud Problem Solving) which provides an effective implementation of the lesson plans in a group environment. SOAR (Stress On Analytical Reasoning) and New Intellegence Thinking Maps

Permission is granted to individual teachers in public-supported educational institutions to reproduce and use this material in any way needed for their particular classes. The source and copyright information that precedes the problem statement must be preserved in the material produced.

OBJECTIVE:

Teaching logical problem solving.
To provide the student with hands-on experience in constructing logically sound problem solutions through activity learning. The manipulatives can be used individually, in small groups, and in class presentations.

Procedures:

Instructions and suggestions for using the materials are provided on the individual pages.

### Manipulative 1.

Jane has 3 more dimes today than she had yesterday. If she had 6 dimes yesterday, how many dimes does Jane have today?

See the manipulative.
2/28/98

### Manipulative 2.

Jane has 3 times as many dimes today as she had yesterday. If she had 6 dimes yesterday, how many dimes does Jane have today?

See the manipulative.
3/1/98

### Manipulative 3.

Jane has one-fourth as many dimes today as she had yesterday. If she had 12 dimes yesterday, how many dimes does Jane have today?

See the manipulative.
Revised 12/5/98

### Manipulative 4.

Jane has 6 fewer dimes today than she had yesterday. If she had 12 dimes yesterday, how many dimes does Jane have today?

See the manipulative.
3/4/98

### Manipulative 5.

If Tom has three times as many apples as Susan and Susan has one-fourth as many as Joe, who has four, how many does Mary have if she has two more than Tom?

See the manipulative.
New 1/14/99

### Manipulative 6.

A work sheet for problem solving. This provides a hands-on environment for developing problem solving skill. The basic principles of problem solving are included in the lesson plan.

See the manipulative.
12/7/98