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Manipulative Catalogue
Posted:
Jan 23, 1994 5:02 PM
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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
answer
c. illustrate alternative problem-solving
strategies
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
Geometry
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
concept.
I welcome your thoughts and upgrades.
***********************************************************************
Ben Preddy ben@forum.swarthmore.edu
9 Rampart East
Media, PA. 19063 (215) 565-6115
***********************************************************************
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