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Reit, Xenia-Rosemarie; Schäfer, Marc – Journal on Mathematics Education, 2020
It remains a challenge for teachers to integrate modeling tasks in everyday mathematics classes. Many studies have been conducted that show the difficulties faced by teachers. One of the challenging aspects in this regard is that of assessment. In the present study, a connection between structures of learners' solution strategies and cognitive…
Descriptors: Teaching Methods, Mathematics Instruction, Mathematical Models, Problem Solving
Wiliam, Dylan – 2002
In this paper, it is argued that the failure of educational research to impact on practice stems from a failure to understand the nature of expertise in teaching, and that traditional models of knowledge transfer can only be effective for those at a relatively limited level of competence. Instead, it is suggested that teachers need to be involved,…
Descriptors: Cognitive Structures, Curriculum, Educational Change, Evaluation Methods

Davis, Robert B. – Journal of Mathematical Behavior, 1992
Discusses a new approach to mathematics education that moves away from methods that tell students what to do and toward methods that help students build mental representations of mathematical concepts. Contrasts the previous and emerging views and examines aspects of the new approach. (26 references) (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Structures, Educational Change
Willis, Sue, Ed. – 1990
To be numerate is to be able to function mathematically in one's daily life. The kinds of mathematics skills and understandings necessary to function effectively in daily life are changing. Despite an awareness in Australia of new skills necessary for the information age and calls that the schools should be instrumental in preparing students with…
Descriptors: Alternative Assessment, Cognitive Structures, Diagnostic Teaching, Educational Change