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Ngu, Bing Hiong; Yeung, Alexander Seeshing; Phan, Huy P.; Hong, Kian Sam; Usop, Hasbee – Journal of Experimental Education, 2018
In an experiment, secondary students from Australia and Malaysia (n = 130) were randomly assigned to one of three approaches (equation, unitary, unitary-pictorial) to learn how to solve challenging percentage-change problems. In line with the differential types of cognitive load associated with the three approaches, the unitary-approach group…
Descriptors: Problem Solving, Cognitive Processes, Difficulty Level, Cross Cultural Studies
Ngu, Bing Hiong; Phan, Huy P. – International Journal of Mathematical Education in Science and Technology, 2017
Assimilating multiple interactive elements simultaneously in working memory to allow understanding to occur, while solving an equation, would impose a high cognitive load. "Element interactivity" arises from the interaction between elements within and across operational and relational lines. Moreover, operating with special features…
Descriptors: Mathematics, Mathematics Instruction, Equations (Mathematics), Problem Solving
Ngu, Bing Hiong; Yeung, Alexander Seeshing; Tobias, Stephen – Instructional Science: An International Journal of the Learning Sciences, 2014
Eighth grade students in Australia (N = 60) participated in an experiment on learning how to solve percentage change problems in a regular classroom in three conditions: unitary, pictorial, and equation approaches. The procedure involved a pre-test, an acquisition phase, and a post-test. The main goal was to test the relative merits of the three…
Descriptors: Foreign Countries, Cognitive Processes, Difficulty Level, Mathematics Instruction