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van Lieshout, Ernest C. D. M.; Xenidou-Dervou, Iro – Educational Studies in Mathematics, 2018
At the start of mathematics education children are often presented with addition and subtraction problems in the form of pictures. They are asked to solve the problems by filling in corresponding number sentences. One type of problem concerns the representation of an increase or a decrease in a depicted amount. A decrease is, however, more…
Descriptors: Mathematics Instruction, Cognitive Processes, Difficulty Level, Addition
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Yackel, Erna; Stephan, Michelle; Rasmussen, Chris; Underwood, Diana – Educational Studies in Mathematics, 2003
In this paper we present three cases of instructional design that illustrates both horizontal didactising, the activity of using already established principles to design instruction, and vertical didactising the activity of developing new tools and principles for instructional design. The first case illustrates horizontal didactising by…
Descriptors: Persuasive Discourse, Instructional Design, Foreign Countries, Mathematics Education
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Gravemeijer, Koeno; Doorman, Michiel – Educational Studies in Mathematics, 1999
Discusses the role of context problems as they are used in the Dutch approach known as realistic mathematics education (RME). Uses an RME design for a calculus course to illustrate that theory based on the design heuristic using context problems and modeling, which was developed for primary school mathematics, also fits advanced topics such as…
Descriptors: Calculus, Foreign Countries, Mathematical Models, Mathematics Education
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Witten, Gareth Q. – Educational Studies in Mathematics, 2005
Many mathematics departments usually teach a variety of courses for students from different science departments and even from different faculties. These "service" courses are usually taught in the same way as the courses for mathematics major students. However, in science, because of the need to better analyse and interpret experimental…
Descriptors: Mathematical Models, Science Departments, Geology, Chemistry
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Boekaerts, Monique; And Others – Educational Studies in Mathematics, 1995
Describes a model of adaptable learning that takes into account the interaction between affective and cognitive variables in learning situations, introduces an instrument for measuring relevant aspects of this model, and presents initial results of the application of this instrument to (n=30) 6th-grade students. (53 references) (Author/MKR)
Descriptors: Affective Behavior, Cognitive Ability, Elementary Education, Elementary School Students