MultiplicationModels

=Interactive Multiplication Models= toc Multiplication unites surprisingly many situations, some of them unexpected. It helps to see underlying similarities in arrays, fractals, gears, symmetric patterns, balance beams and other entities in nature and culture. Starting April 25th 2011, a group of researchers and developers will build a catalog of multiplication models and their pedagogical uses.We will work with a few models each week, aggregating existing interactives and identifying development needs. To join the project, subscribe to the email group or write to the curators, Steve Thomas and Maria Droujkova. media type="custom" key="9184670"

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||  || media type="custom" key="9184760" ||   ||   ||   || Natural numbers and positive fractions ||   || Measurement ||   || Continuous, geometric, visual, hands-on || ||  || media type="custom" key="9184812" ||   ||   ||   || Natural numbers ||   || Mirror books Symmetry scavenger hunts ||  || Discrete, geometric, visual, hands-on || ||  || media type="custom" key="9184816" ||   ||   ||   || Natural numbers ||   || Pop art (Warhol) Probability applications Modular design (Lego, dress-up) ||  || Discrete, structural, visual || ||  || media type="custom" key="9184824" ||   ||   ||   || Natural numbers ||   || Design Sharing ||  || Discrete, additive, visual, hands-on ||
 * **Model** || @@ || **Interactives and videos** || @@ || **Development needs** || @@ || **Uses and limitations** || @@ || **Activities** || @@ || **Genome** ||
 * Area
 * Symmetry
 * Combinations
 * Sets

Uses and Limitations
These questions are a start for writing about uses and limitations of each model. Please add good questions here.
 * 1) Where does this model "break"? For example, some Algebra tile models "break" on subtraction.
 * 2) How would learners use this model in their worlds?
 * 3) Where would it be inappropriate to use this model?
 * 4) What are some learning pitfalls in the model?

Activities
These questions help to brainstorm activities.
 * 1) What concrete "Step away from the computer and get into the real world" manipulatives/games/activities can be used in conjunction with this model?
 * 2) How would a learner use this model in their worlds?
 * 3) How can this be used in a group, one-on-one teaching, single student exploration?

Genome
This part contains words and phrases that describes more holistic features of the model.
 * 1) Is the model discrete or continuous?
 * 2) What large areas of mathematics are involved?
 * 3) What learning styles are involved?

Multiplication Models References
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Relevant General References
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