Abstract
In the preceding chapters in this section, we considered how students made sense of Pascal’s Triangle and isomorphic combinatorics problems using their own increasingly sophisticated and abstract representations. In this chapter, we see how one group built on those ideas in order to derive, explain, and record Pascal’s Identity (the addition rule for Pascal’s Triangle) using standard mathematical notation. This remarkable demonstration of how students can come to make sense of complex mathematical ideas was captured during the session that came to be referred to as the “Night Session,” since it took place on a weekday evening from 7:30 to 10:00 pm.
An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-0-387-98132-1_18
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Uptegrove, E.B. (2010). Representations and Standard Notation. In: Maher, C., Powell, A., Uptegrove, E. (eds) Combinatorics and Reasoning. Springer, Dordrecht. https://doi.org/10.1007/978-0-387-98132-1_12
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DOI: https://doi.org/10.1007/978-0-387-98132-1_12
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