Cognitive load theory uses the immense size of human long-term memory and the significantly limited capacity of working memory to design instructional methods. Five basic principles: information store principle, borrowing and reorganizing principle, randomness as genesis principle, narrow limits of change principle, and environmental linking and organizing principle explain the cognitive basics of this theory. The theory differentiates between three major types of cognitive load: extraneous load that is caused by instructional strategies, intrinsic cognitive load that results from a high element interactivity material and germane load that is concerned with activities leading to learning. Instructional methods designed in accordance with cognitive load theory rely heavily on the borrowing and reorganizing principle, rather than on the randomness as genesis principle to reduce the imposed cognitive load. As learning fractions incorporates high element interactivity, a high intrinsic cognitive load is imposed. Therefore, learning fractions was studied in the experiments of this thesis. Knowledge held in long-term memory can be used to reduce working memory load via the environmental linking and organizing principle. It can be suggested that if fractions are presented using familiar objects, many of the interacting elements that constitute a fraction might be embedded in stored knowledge and so can be treated as a single element by working memory. Thus, familiar context can be used to reduce cognitive load and so facilitate learning. In a series of randomized, controlled experiments, evidence was found to argue for a contextual effect. The first three experiments of this thesis were designed to test the main hypothesis that presenting students with worked examples concerning fractions would enhance learning if a real-life context was used rather than a geometric context. This hypothesis was tested using both a visual and a word-based format and was supported by the results. The last two experiments were intended to test the context effect using either worked examples or problem solving. The results supported the validity of the previous hypothesis using both instructional methods. Overall, the thesis sheds some light on the advantages of using familiar objects when mastering complex concepts in mathematics.
| Identifer | oai:union.ndltd.org:ADTP/234353 |
| Date | January 2008 |
| Creators | Khateeb, Majeda, Education, Faculty of Arts & Social Sciences, UNSW |
| Publisher | Publisher:University of New South Wales. Education |
| Source Sets | Australiasian Digital Theses Program |
| Language | English |
| Detected Language | English |
| Rights | http://unsworks.unsw.edu.au/copyright, http://unsworks.unsw.edu.au/copyright |
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