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Tic-Tac-Toe and Repeated Integration by Parts: Alternative Pedagogical Perspectives to Lima's Integral Challenge
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Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2020
Recently, Lima lamented on the 'time-consuming and tiresome' pedagogical nature of repeated integration by parts, throwing down the challenge of providing a pencil-and-paper solution to a related problem in a few seconds. Lima put forth a simple formula as an alternative. In this work, I offer a response to Lima's challenge and his formula.…
Descriptors: Teaching Methods, Mathematics Instruction, Mathematical Formulas, Problem Solving
Exploring a Conceptual Model-Based Approach to Teaching Situated Word Problems: A Rejoinder to Jitendra's Response to Yan Ping Xin and Dake Zhang
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Xin, Yan Ping; Zhang, Dake – Journal of Educational Research, 2011
This article presents the authors' response to Asha K. Jitendra's Response to Xin and Zhang ("The Journal of Educational Research," 2009, Vol. 102, No. 6). The claim of "factual errors, including inappropriate quotes, misrepresentation of information, and inadequate scholarship in Xin and Zhang's text" are not justified. In this rejoinder, the…
Descriptors: Educational Research, Word Problems (Mathematics), Evaluation Methods, Teaching Methods
On Integer Solutions of an Arctan Problem
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Glaister, P. – International Journal of Mathematical Education in Science and Technology, 2008
A generalization of a well-known result for the arctangent function poses a number of interesting questions concerning the existence of integer solutions of related problems.
Descriptors: Problem Solving, Mathematics Instruction, Trigonometry, Generalization
A Hyperknowledge Framework of Decision Support Systems.
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Chang, Ai-Mei; And Others – Information Processing and Management, 1994
Presents a hyperknowledge framework of decision support systems (DSS). This framework formalizes specifics about system functionality, representation of knowledge, navigation of the knowledge system, and user-interface traits as elements of a DSS environment that conforms closely to human cognitive processes in decision making. (Contains 52…
Descriptors: Cognitive Processes, Data Processing, Decision Making, Decision Support Systems