ERIC Number: EJ1056287
Record Type: Journal
Publication Date: 2015
Pages: 23
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0144-3410
EISSN: N/A
Cognitive Load in Algebra: Element Interactivity in Solving Equations
Ngu, Bing Hiong; Chung, Siu Fung; Yeung, Alexander Seeshing
Educational Psychology, v35 n3 p271-293 2015
Central to equation solving is the maintenance of equivalence on both sides of the equation. However, when the process involves an interaction of multiple elements, solving an equation can impose a high cognitive load. The balance method requires operations on both sides of the equation, whereas the inverse method involves operations on one side only. In an experiment, middle school students (N?=?71) were randomly assigned to the balance and inverse methods to complete a pre-test, an acquisition phase and a post-test. Pre-test and post-test comparisons found that the inverse group outperformed the balance group for those equations that involved high element interactivity. Instructional efficiency measures further confirmed that the balance method imposed higher cognitive load. The inverse method was capable of reducing cognitive load due to the interacting elements.
Descriptors: Problem Solving, Equations (Mathematics), Educational Psychology, Cognitive Processes, Difficulty Level, Middle School Students, Pretests Posttests, Comparative Analysis, Instructional Design, Foreign Countries, Likert Scales, Statistical Analysis, Teaching Methods, Mathematics Instruction
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Publication Type: Journal Articles; Reports - Research
Education Level: Middle Schools; Secondary Education; Junior High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Asia
Grant or Contract Numbers: N/A