First grade mathematicians are learning about the importance of justifying our thinking. As discussed previously (please scroll down for older posts), justification not only allows students to "back up" their thinking with real evidence, it also allows students an opportunity to choose their own math strategy for solving a particular problem. Here are some examples of how we justify and "prove" our mathematical thinking in addition to using traditional number sentences and verbal proofs.
What number are we showing with tally marks?
How can tally marks help us? Why do mathematicians use tally marks?
How many different number sentences can you create? Is there a limit? If so, why?
Why do we use two different colors?
How many different shapes do you see? How many hexagons? How many traingles/trapeziods? How many trapeziods fir inside a hexagon? How many triangles fit inside a hexagon?
What are the different number sentences for each?
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