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Classroom Notes

Bunny hops: using multiplicities of zeroes in calculus for graphing

, &
Pages 803-813 | Received 21 Jul 2015, Published online: 27 Nov 2015
 

Abstract

Students learn a lot of material in each mathematics course they take. However, they are not always able to make meaningful connections between content in successive mathematics courses. This paper reports on a technique to address a common topic in calculus I courses (intervals of increase/decrease and concave up/down) while also making use of students’ pre-existing knowledge about the behaviour of functions around zeroes based on multiplicities.

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