Diagrams, week 5

Working through a series of rational number workshops for 3—5 grade teachers. My colleague, the incomparable Anne Bartel, drew these diagrams to help illustrate an important difference in two ways children might solve a problem in which 4 things are shared among six people.

To wit: Many kids will share out halves first, and then deal with what’s left over (top), generating a sum for an answer: \frac{1}{2}+\frac{1}{6} Others will partition each of the wholes and distribute one of these pieces to each sharer (bottom), yielding \frac{4}{6} . Or sometimes \frac{4}{24}. We should be on the lookout for these different solutions and use them to generate mathematical conversation (esp. the importance of saying what we have \frac{4}{6} or \frac{4}{24} of.


One response to “Diagrams, week 5

  1. Pingback: Further adventures in Kindergarten fractions | Overthinking my teaching

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