Consider the 2x2 sub-grid cutouts from a multiplication table. What is the biggest number you can arrive at in 10 steps?ĭ.

Starting at the 1 in a multiplication table, you can take steps to adjacent boxes: right or left, up or down, but not diagonally. How many of the entries in the 10x10 multiplication table are odd?Ĭ. Estimate how many distinct numbers are in the 100 boxes of a 10x10 multiplication table.ī. (For A, B, and G, see the concrete example section in my earlier post here.)Ī. The Multiplication Table: To Be Memorized or Mastered? For the Learning of Mathematics, 21-25. The recommendation here is that the multiplication table should be viewed, apparently for the first time by most people, as a dynamic synergetic combination of patterns, a veritable repository of mathematical relationships waiting as it were to gush forth from kindergarten through the secondary grades (p. The inspiration for these problems can be found in a paper by Trivett (1980) in which he writes: You can also access a free copy online here.] Journal of Mathematics Education at Teachers College, 5(1). Problem Posing with the Multiplication Table. [ Edit 5/9/14: You can find some of the problems below in an informal paper of mine the citation is:ĭickman, B.

I realize that your question is about the $100 imes 100$ table: But since you ask about approaching the multiplication table in ways other than by rote learning alone, I thought I would leave you with a list of problems I generated based on the $10 imes 10$ table.

All times tables up to 100