Journal ArticleDOI
Children's solution processes in elementary arithmetic problems: Analysis and improvement.
Erik De Corte,Lieven Verschaffel +1 more
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This article is published in Journal of Educational Psychology.The article was published on 1981-01-01. It has received 83 citations till now. The article focuses on the topics: Elementary arithmetic & Mathematical ability.read more
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Understanding and solving word arithmetic problems.
Walter Kintsch,James G. Greeno +1 more
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Promoting Access to Knowledge, Strategy, and Disposition in Students: A Research Synthesis:
Abstract: The emphasis in this paper is on access, defined as the ability to draw on or utilize one’s intellectual resources in situations where those resources are relevant. A number of factors influence access. They have been identified in various strands of research representing different construct and curriculum perspectives. To date, few attempts have been made to synthesize this research. This is the purpose of the present paper, which utilizes a framework thought to have relevance across research domains. According to this framework, two factors influence students’ ability to access knowledge, strategy, and disposition. The first is organizational in nature, the second relates to the amount of reflective awareness possessed by the individual. This paper discusses how organization and awareness factors influence access in each of the informational categories and how teachers can better attend to these factors and thus promote access or transfer in students.
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Implications of Cognitive Theory for Instruction in Problem Solving
TL;DR: In this article, a review of cognitive theories of problem solving and suggestions made by cognitive psychologists regarding how to teach problem solving are reviewed, and the results are summarized in a description of how high levels of proficiency in problem solving were acquired and how problem solving skills might best be taught, keeping in mind a distinction between well-and ill-structured problems.
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Theoretical and empirical differentiations of phases in the modelling process
TL;DR: In this paper, different modelling cycles are discussed with attention to distinctions in the various phases and difficulties in the process of distinguishing various phases are also pointed out, while the modelling cycle under cognitive psychological aspects is specifically emphasized in contrast to other cycles.
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The Tension Between Theories of Learning and Instruction in Mathematics Education
TL;DR: This paper argued that the task of accounting for successful instruction is not one of explaining how students take in and process information transmitted by the teacher, but instead, it is to explain how students actively construct knowledge in ways that satisfy constraints inherent in instruction.
References
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Book
Human Problem Solving
TL;DR: The aim of the book is to advance the understanding of how humans think by putting forth a theory of human problem solving, along with a body of empirical evidence that permits assessment of the theory.
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Diagnostic Models for Procedural Bugs in Basic Mathematical Skills
TL;DR: A new diagnostic modeling system for automatically synthesizing a deep-structure model of a student's misconceptions or bugs in his basic mathematical skills provides a mechanism for explaining why a student is making a mistake as opposed to simply identifying the mistake.