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Direct linkMejia-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
Peer reviewedFletcher, T. J. – Educational Studies in Mathematics, 1976
The fundamental role of the theorems of Pappus and Desargues in the construction of nomograms is explained. (DT)
Descriptors: Geometry, Instruction, Mathematics, Mathematics Education
Peer reviewedAvital, Shmuel; Hansen, Rodney T. – Educational Studies in Mathematics, 1976
This paper discusses the process of investigating a mathematical situation, making conjectures, formulating an equation, then using mathematical induction to show the result is valid. Several examples appropriate for secondary school level are given. (DT)
Descriptors: Algebra, Deduction, Elementary Secondary Education, Geometry
Peer reviewedCarraher, David William – Educational Studies in Mathematics, 1993
Presents a model of rational number using pairs of line segments which can embody ratios of numbers. Actions upon these segments can embody arithmetical operations. Discusses tasks in a computer environment for bringing out diverse algebraic and geometric meanings of rational numbers. (Contains 23 references.) (MKR/Author)
Descriptors: Algebra, Arithmetic, Concept Formation, Elementary Secondary Education
