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Direct linkZhen, Bo; Weber, Keith; Mejia-Ramos, Juan Pablo – International Journal of Research in Undergraduate Mathematics Education, 2016
In this paper, we investigate mathematics majors' perceptions of the admissibility of inferences based on graphical reasoning for calculus proofs. The main findings from our study is that the majority of mathematics majors did not think that graphical perceptual inferences (i.e., inferences based on the appearance of the graph) were permissible in…
Descriptors: Majors (Students), Mathematics Instruction, Inferences, Calculus
Mejía-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
