Over the course of the next several weeks, I will feature several number sense routines on here that are part of our Math Workshop, including Everyday Counts Calendar Math. Check out this video for an example of a typical Calendar Math session. (We did not do the graph featured in the video for September because as of 2010, Florida's third grade math standards no longer address probability.) Our sessions are starting to have student leaders take a more active role in updating elements daily and facilitating discussion at the beginning, middle, and end of the month. Most months have additional elements such as Coin Counter, Clock, and Measurement, so stay tuned as I post about these later this month!
Flexible form of numbers is the idea that a number's value can be shown in different ways. For example, 947 can be thought of as 9 hundreds, 4 tens, and 7 ones. Using regrouping, you could also trade in one of the hundreds for 10 tens, showing that 8 hundreds, 14 tens, and 7 ones also has a value of 947.
One way we practice this is with the number of days we have been in school during Calendar Math. For example, today we have been in school 33 days. We can show 33 flexibly using 3 tens and 3 ones, 2 tens and 13 ones, 1 ten and 23 ones, and 33 ones.
At least once during every school year, the students will be taking a test, and a student will raise her/his hand to let me know, "I found the answer, but my answer isn't one of the choices! Ieven checked my work!" This is a perfect example of the higher-level mathematical thinking and number sense expected of today's young mathematicians.
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