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Weber, Keith; Mejia-Ramos, Juan Pablo – Journal of Mathematical Behavior, 2009
In a recent paper, Alcock and Inglis (in press) noted a distinction between the way that Weber (in press) and they defined syntactic and semantic proof productions. Weber argued that "a syntactic proof production occurs when one works predominantly within the representation system of proof [...] Alternatively, a semantic proof production occurs…
Descriptors: Mathematics Instruction, Models, Evaluation, Case Studies
Alcock, Lara; Inglis, Matthew – Journal of Mathematical Behavior, 2009
Weber (2009) suggested that counterexamples can be generated by a syntactic proof production, apparently contradicting our earlier assertion (Alcock & Inglis, 2008). Here we point out that this ostensible difference is the result of Weber working with theoretical definitions that differ slightly from ours. We defend our approach by arguing that…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Probability
Manning, Robert D.; Kirshak, Ray – Journal of Student Financial Aid, 2005
Professors John M. Barron and Michael E. Staten's article in Vol. 34, No. 3 of this journal, "Usage of Credit Cards Received through College Student-Marketing Programs," purports to "provide benchmark measures of college student credit card usage." Based on empirical analyses of proprietary industry data, they conclude that "There is no…
Descriptors: Young Adults, College Students, Undergraduate Study, Credit (Finance)
Staten, Michael E.; Barron, John M. – Journal of Student Financial Aid, 2005
According to the authors, the comments offered by Robert Manning and Ray Kirshak in this issue of the "Journal of Student Financial Aid" (pp. 39-48) are designed to leave the reader with the impression that their paper "Usage of Credit Cards Received through College Student-Marketing Programs" ("Journal of Student Financial Aid," 2004) was nothing…
Descriptors: Higher Education, College Students, Undergraduate Study, Credit (Finance)