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Vladimir Miškovic – Australian Mathematics Education Journal, 2023
The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…
Descriptors: Algebra, Geometric Concepts, Plane Geometry, Mathematical Formulas
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Saw, Kim Guan – Turkish Online Journal of Distance Education, 2017
This article revisits the cognitive load theory to explore the use of worked examples to teach a selected topic in a higher level undergraduate physics course for distance learners at the School of Distance Education, Universiti Sains Malaysia. With a break of several years from receiving formal education and having only minimum science…
Descriptors: Foreign Countries, Cognitive Processes, Difficulty Level, Undergraduate Students
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Mamona-Downs, Joanna – International Journal of Mathematical Education in Science and Technology, 2010
An account is made of the relationship between the convergence behaviour of a sequence and the accumulation points of the underlying set of the sequence. The aim is to provide students with opportunities to contrast two types of mathematical entities through their commonalities and differences in structure. The more set-oriented perspective that…
Descriptors: Cognitive Processes, Comparative Analysis, Thinking Skills, Calculus
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Ye, N.; Ding, Jiu – International Journal of Mathematical Education in Science & Technology, 2006
A simple proof to some known results on the convergence of linear recursive sequences with nonnegative coefficients is given, using the technique of monotone convergence.
Descriptors: Correlation, Numbers, Causal Models, Mathematical Formulas