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Direct linkMejía-Ramos, Juan Pablo; Weber, Keith; Fuller, Evan – International Journal of Research in Undergraduate Mathematics Education, 2015
In this paper we present a case study of an individual student who consistently used semantic reasoning to construct proofs in calculus but infrequently used semantic reasoning to produce proofs in linear algebra. We hypothesize that the differences in these reasoning styles can be partially attributed to this student's familiarity with the…
Descriptors: Mathematics Instruction, Mathematical Logic, Algebra, Validity
Mejia-Ramos, Juan Pablo; Fuller, Evan; Weber, Keith; Rhoads, Kathryn; Samkoff, Aron – Educational Studies in Mathematics, 2012
Although proof comprehension is fundamental in advanced undergraduate mathematics courses, there has been limited research on what it means to understand a mathematical proof at this level and how such understanding can be assessed. In this paper, we address these issues by presenting a multidimensional model for assessing proof comprehension in…
Descriptors: Reading Comprehension, Mathematics Education, Mathematical Logic, Number Concepts
