representation
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Graphic better than FOIL
Typically, multiplying two binomials is presented with FOIL. This approach is problematic for two reasons: it is a mneumonic for a purely symbolic representation and it is also an isolated strategy that does not connect well to prior knowledge. Another approach is to use a graphic organizer and context. In the photo below I presented students…
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Color Coding and Different Representation for Rounding
There are two strategies used in this example for rounding. The number line is a different representation for a rounding situation. In CRA this is the representational or pictorial level. Typically students are taught to round by looking only at the numbers which is purely symbolic. The color coding helps the students discriminate between…