Algorithms Here, Algorithms there...
Math this week has taken a computational thinking (CT) twist to it. We started a series of topics in math that I thought would be powerful if we could apply CT skills to all of these scenarios. We started with multiplication of fractions. I had students set up an array of 12 like this: xxxx xxxx xxxx I had them then circle to show 2/3 of 12 and record the answer. We connected this to Math Practices - model with mathematics. I had them then extend to show 4/6 of or x 12, 3/6 x 12, 5/6 x 12, 1/6 x 12, 1/4 x 12, 3/4 x 12, 1/3 x 12 with the corresponding answers. Based on this list of equations, the students were to test out various algorithms until they found a 'set of directions' that would work all the time when multiplying fractions. This is Math Practice 8: Look for and express regularity in repeated reasoning and 7: Look for and make use of structure. The interesting thing is that as soon as I gave the directions for this task, the...