The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Math Topics » geometry.pre-college

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Manipulative Catalogue
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Ben Preddy

Posts: 41
Registered: 12/3/04
Manipulative Catalogue
Posted: Jan 23, 1994 5:02 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Geometry Manipulative Summary Sheet

Manipulative Concept/Topic
1. Number Sense/ a. develop aptitide for problem solving
Puzzle Problems b. realize some problems have more than 1
c. illustrate alternative problem-solving
d. foster interest in mathematics
e. motivate student to persue questions, and
persist in finding solutions

2. Math Journal a. bridges to different types of learner
(multiple intelligences: interpersonal)
b. students can move from rote memorization
to algorythmic processes to generalization
of concepts, enabling transference and
extension of ideas
c. facitlitates to process of making
connections between ideas learned over
period of time
d. enhances the skills of communication,
verbal, and written
e. encourages personal organization of
concepts, they own their ideas.

3. Pentominoes a. lines of symmetry, and reflection
b. perimeter and area
c. spacial relationships

4. Polydron a. nets
b. surface area/volume of solids
c. spacial relationships
d. tesselating polygons
e. angle sums
f. polygons (shape/area/perimeter)
g. polyhedrons (shapes/properties)
h. Euler's Formula

5. Geoboard a. ploygons
b. similarity
c. congruency
d. symmetry
e. perimeter/area
f. Picks Theorem

6. Tangrams a. basic geometry terms (point, line,
segment, midpoint, parallel lines,
perpendicular linesscale, proportion)
b. perimeter/area
c. basic geometry shapes (triangle, iso.
triangle, square, parallalogram)
d. similarity
e. congruence
f. fractions/ratios
g. Pythagorean Formula

7. Cuisenaire Rods a. perimeter/area/volume
b. spacial relations
c. factoring
d. minimization/maximization

8. Line Design/ a. basic geometric terms (point,
Curve Stretching line, plane)
b. creative art form, connecting art and
c. size, shape, congruence

9. Pattern Blocks a. basic geometric shapes (square, hexagon,
parallelogram, ect.)
b. polygons
c. mosaics
d. area/perimeter/volume
e. reflections
f. symmetry

10. Tesselations a. polygons
b. symmetry
c. connection to art (M.C.Escher, and others)

11. Triangle Dominos a. triangle classification
b. a fun game

12. Quadrilateral Concentration a. properties of quadrilaterals

13. Paper Folding a. parallel lines
b. perpendicualr lines
c. angle bisectors
d. segment bisectors, perpendicular bisectors
e. symmetry
f. Pythagorean Formula
g. circle properties (perp. bis. of chords,
center of circle)
` h. non-formula problem-solving
g. packaging design

I am not satisfied with classifying all these items as
manipulatives. Is a math journal really a manipulative? Some
additional thought needs to be given to the classification of
types of resources. Where do graphing calculators fit into this
scheme? Geometer's Sketchpad? Various Games? Guest Experts? Internet?
Perhaps a database for resources could be developed that
we could access when we wanted to work on a particular idea or
I welcome your thoughts and upgrades.
Ben Preddy
9 Rampart East
Media, PA. 19063 (215) 565-6115

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.