Questions tagged [manipulatives]

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5 votes
2 answers

What's the best ratio for algebra tiles?

A good model for algebra are Algebra Tiles. See: In this presentation they recommend an aspect ratio ...
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9 votes
1 answer

Is there such thing as a 1 kg "decimeter cube?"

Base 10 sets are readily available from educational suppliers and retail sites, as are the largest element in these sets, sometimes known as "decimeter cubes" (10 x 10 x 10 cm). The "...
  • 331
3 votes
2 answers

Line segments on a geoboard

To make a polygon on a traditional geoboard, one usually stretches a rubber band around the vertices. No problem there. When making a simple line segment, however, a rubber band is typically stretched ...
  • 331
3 votes
0 answers

References for visualizing numbers in base 10 flats

Base 10 blocks (units, rods, flats and cubes) are a widespread manipulative material for teaching place value. However, piling rods on top of each other is not very stable, so it is not easy to build ...
10 votes
0 answers

toys/manipulatives for exploring graph theory

I was talking recently with my daughters about non-planar graphs, like $K_{3,3}$, $K_5$, and the 7 bridges of Königsberg. They got pretty interested in it, and seemed to catch on to the core ideas. ...
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7 votes
4 answers

Favorite secondary math manipulatives?

I read this is the mathematics educators stack exchange so hopefully this is the right place for this question. I was curious what is your favorite math toys, manipulatives, math games, or tools to ...
9 votes
3 answers

Physical devices for exploring calculus or pre-calculus

I saw this partial derivative machine yesterday, and it got me excited about other physical devices for exploring calculus concepts in a "lab" setting (e.g. make a prediction, collect data, etc.) Do ...
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10 votes
1 answer

Where can I find a set of these 'logic' blocks?

(It will be difficult to answer this question without 'advertising' for a retailer, but I've searched for these several times in the past few years, to no avail.) In Math From Three To Seven (The ...
  • 4,940
4 votes
1 answer

References on the effectiveness of manipulatives (virtual vs. physical) [duplicate]

I am in need to find references for my thesis proposal. My topic is "Virtual manipulative versus physical manipulative: which way do students learn faster?". Do you know any authors that worked on ...
13 votes
2 answers

Physical vs. Virtual manipulatives in the high school classroom

I notice that geometry students frequently have difficulty with representations of 3-dimensional objects in 2 dimensions. Today, we worked with physical manipulatives in order to help visualize where ...
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5 votes
1 answer

Solidifying Bubble Surfaces

Dip a wire frame into a bubble mix and you have a bubble forming a minimal surface spanning the wire frame. These bubble surfaces have been used to demonstrate math and physics concepts like ...
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3 votes
5 answers

How can I demonstrate triangulations of surfaces with real hands-on objects?

For a math circle activity on Euler Characteristic, I'd like the students to be able to triangulate some surfaces and count the number of vertices, edges, and faces of the result. There are a lot of ...