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Rata, Elizabeth; McPhail, Graham; Barrett, Brian – Curriculum Journal, 2019
The article discusses the link between a curriculum based on academic subjects derived from disciplinary knowledge and a progressive pedagogy that endeavours to engage students from all backgrounds with it. Section 1 describes the realist theory of knowledge which justifies the argument for this accommodation between curriculum and pedagogy.…
Descriptors: Learner Engagement, Teaching Methods, Academic Education, Educational Theories
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Doorman, Michiel; van Maanen, Jan – Australian Senior Mathematics Journal, 2008
Calculus is one of those topics in mathematics where the algorithmic manipulation of symbols is easier than understanding the underlying concepts. Around 1680 Leibniz invented a symbol system for calculus that codifies and simplifies the essential elements of reasoning. The calculus of Leibniz brings within the reach of an ordinary student…
Descriptors: Student Problems, Mathematics Education, Semantics, Syntax