Mathematical learning models that depend on prior knowledge and instructional strategies

dc.creator	David E. Pritchard
dc.creator	Young-Jin Lee
dc.creator	Lei Bao
dc.date	2008-05-01T00:00:00Z
dc.date.accessioned	2015-07-20T22:11:50Z
dc.date.available	2015-07-20T22:11:50Z
dc.identifier	1554-9178
dc.identifier	https://doaj.org/article/de15b75c32be4ae9890e2c18a1ffa2e4
dc.identifier.uri	http://evidence.thinkportal.org/handle/123456789/14747
dc.description	We present mathematical learning models—predictions of student’s knowledge vs amount of instruction—that are based on assumptions motivated by various theories of learning: tabula rasa, constructivist, and tutoring. These models predict the improvement (on the post-test) as a function of the pretest score due to intervening instruction and also depend on the type of instruction. We introduce a connectedness model whose connectedness parameter measures the degree to which the rate of learning is proportional to prior knowledge. Over a wide range of pretest scores on standard tests of introductory physics concepts, it fits high-quality data nearly within error. We suggest that data from MIT have low connectedness (indicating memory-based learning) because the test used the same context and representation as the instruction and that more connected data from the University of Minnesota resulted from instruction in a different representation from the test.
dc.language	English
dc.publisher	American Physical Society
dc.relation	http://link.aps.org/abstract/PRSTPER/v4/e010109
dc.relation	https://doaj.org/toc/1554-9178
dc.source	Physical Review Special Topics. Physics Education Research, Vol 4, Iss 1 (2008)
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	Mathematical learning models that depend on prior knowledge and instructional strategies
dc.type	article