Bunny hops: using multiplicities of zeroes in calculus for graphing. Issue 5 (3rd July 2016)

• Record Type: Journal Article
• Authors: Miller, David; Deshler, Jessica M.; Hansen, Ryan
• Is Part Of: International journal of mathematical education in science and technology. Volume 47:Issue 5(2016)
• Page Start: 803
• Page End: 813
• Publication Date: 2016-07-03
• Subjects: calculus -- graphing -- zeroes -- multiplicities -- college algebra; Mathematics -- Study and teaching -- Periodicals; Mathematics -- Periodicals; 510.07
• DOI: 10.1080/0020739X.2015.1114160
• Languages: English
• ISSNs: 0020-739X

Abstract

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.