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Manipulative Catalogue
Posted:
Jan 23, 1994 5:02 PM


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 problemsolving 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. nonformula problemsolving 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) 5656115 ***********************************************************************



