Education Commons^™

Polynomial Calculus: Rethinking The Role Of Calculus In High Schools, William Crombie, Melva R. Grant

Teaching & Learning Faculty Publications

Access to advanced study in mathematics, in general, and to Calculus, in particular, depends in part on the conceptual architecture of these knowledge domains, and in this paper we outline an alternative architecture. Our general strategy is to separate advanced concepts from the particular advanced techniques used in their definition and exposition. This alternative architecture, thus, affords access to advanced concepts from an elementary standpoint to a larger group of learners than is presently accomplished. In the case of the Calculus we develop the beginning concepts of the Differential and Integral Calculus using only concepts and skills found in secondary …

Productive Peer Culture: Algebra Project Students’ View, Melva R. Grant

Teaching & Learning Faculty Publications

The purpose of this study was to determine students’ perspectives about productive peer culture for mathematics learning. The participating students were attending an annual residential summer institute and have been participating in Algebra Project activities for at least one year. Of the 26 high school students attending the institute, they all participate in mathematics literacy work1 through their local Young People’s Project (YPP) groups, while 20 of those students also receive their regular school-based mathematics instruction within an Algebra Project Cohort Model (APCM) structured classroom².

The Algebra Project targeted persistently underserved mathematics students who typically scored in the …