Teaching integration with layers and representations: A case study

dc.creator	Joshua Von Korff
dc.creator	N. Sanjay Rebello
dc.date	2012-05-01T00:00:00Z
dc.date.accessioned	2015-08-12T11:18:33Z
dc.date.available	2015-08-12T11:18:33Z
dc.identifier	1554-9178
dc.identifier	https://doaj.org/article/9b84395d5d814f148beddd1ce67a217d
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/27010
dc.description	We designed a sequence of seven lessons to facilitate learning of integration in a physics context. We implemented this sequence with a single college sophomore, “Amber,” who was concurrently enrolled in a first-semester calculus-based introductory physics course which covered topics in mechanics. We outline the philosophy underpinning these lessons, which characterizes integration in terms of layers and representations. We describe how Amber learned to give oral presentations in which she told a story about how integration comes from products, sums, and limits in a variety of physics contexts. We conclude that by the end of our lessons, Amber was able to conceptualize and explain integrals using multiple representations. In one case, she was able to solve a novel problem about integration in an unfamiliar context (center of mass.) Based on our previous research about integration, we suggest that these achievements would have been unattainable with the use of a single one or two hour lesson.
dc.language	English
dc.publisher	American Physical Society, APS
dc.relation	http://link.aps.org/doi/10.1103/PhysRevSTPER.8.010125
dc.relation	https://doaj.org/toc/1554-9178
dc.source	Physical Review Special Topics. Physics Education Research, Vol 8, Iss 1 (2012)
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	DOAJ:Education
dc.subject	DOAJ:Social Sciences
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.subject	Education (General)
dc.subject	L7-991
dc.subject	Education
dc.subject	L
dc.title	Teaching integration with layers and representations: A case study
dc.type	article