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University of Wollongong

Geometry

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Full-Text Articles in Education

Computer-Based Learning Of Geometry From Integrated And Split Attention Worked Examples: The Power Of Self-Management, Sharon K. Tindall-Ford, Shirley Agostinho, Sahar Bokosmaty, Fred Paas, Paul A. Chandler Jan 2015

Computer-Based Learning Of Geometry From Integrated And Split Attention Worked Examples: The Power Of Self-Management, Sharon K. Tindall-Ford, Shirley Agostinho, Sahar Bokosmaty, Fred Paas, Paul A. Chandler

Faculty of Social Sciences - Papers (Archive)

This research investigated the viability of learning by self-managing split-attention worked examples as an alternative to learning by studying instructor-managed integrated worked examples. Secondary school students learning properties of angles on parallel lines were taught to integrate spatially separated text and diagrammatic information by using online tools to physically move text to associated parts of a diagram. The moving of text aimed to reduce learners' need to search between text and diagram, freeing cognitive resources for learning and affording learners' control of their learning materials. The main hypotheses that learners who self-manage split-attention worked examples would perform better on test …


The Accessing Of Geometry Schemas By High School Students, Mohan Chinnappan Jan 1998

The Accessing Of Geometry Schemas By High School Students, Mohan Chinnappan

Faculty of Social Sciences - Papers (Archive)

In this study I examine the question, what is the nature of prior mathematical knowledge that facilitates the construction of useful problem representations in the domain of geometry? The quality of prior knowledge is analysed in terms ofschemas that provide a measure of the degree of organisation of prior knowledge. Problem-solving performance and schema activation of a group of high- and low-achieving students were compared. As expected, the high achievers produced more correct answers than the low achievers. More significantly, schema comparison indicated that the high achievers accessed more problem-relevant schemas than the low achievers. In a related task which …


School Geometry: Focus On Knowledge Organisation, Mohan Chinnappan, Michaell Lawson Jan 1994

School Geometry: Focus On Knowledge Organisation, Mohan Chinnappan, Michaell Lawson

Faculty of Social Sciences - Papers (Archive)

Given that geometry is an area of mathematics that has a firm and obvious basis in the real environment, senior secondary students have surprising difficulties in geometric problem-solving. One distinct difficulty appears to be in activating the particular concepts among those previously acquired that are applicable to the problem at hand. A model is presented for analysis of student understanding, based on five levels of geometric knowledge.