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Full-Text Articles in Education
Managing Cognitive Load In The Mathematics Classroom, Mohan Chinnappan, Paul Chandler
Managing Cognitive Load In The Mathematics Classroom, Mohan Chinnappan, Paul Chandler
Faculty of Education - Papers (Archive)
The results of research about cognitive load that is associated with mental processes and the management of such load so that students can be better supported in the construction of connected mathematical information is discussed. Ways in which worked examples can be effective in promoting useful and powerful mathematics schemes are highlighted.
Culturally-Responsive Mathematics Pedagogy Through Complexivist Thinking, Wendy S. Nielsen, Cynthia Nicol, Jenipher Owuor
Culturally-Responsive Mathematics Pedagogy Through Complexivist Thinking, Wendy S. Nielsen, Cynthia Nicol, Jenipher Owuor
Faculty of Education - Papers (Archive)
This paper uses a complexity lens to consider the pedagogical project of culturally responsive mathematics. Need for new and different theoretical perspectives for Aboriginal education arise from chronic underachievement among Canada’s Aboriginal students. Culturally responsive mathematics pedagogy as a complex learning system allows a different view into the interrelationships and necessary conditions between culture, education and society, a view that aims to open new possibility for curriculum development, Aboriginal schooling and cultural renewal, while ensuring success for students.
Year 12 Students' And Higher Mathematics: Emerging Issues, Mohan Chinnappan, Stephen Dinham, Anthony J. Herrington, Dale Scott
Year 12 Students' And Higher Mathematics: Emerging Issues, Mohan Chinnappan, Stephen Dinham, Anthony J. Herrington, Dale Scott
Faculty of Education - Papers (Archive)
In order for young Australians to contribute to economic prosperity and remain competitive in a global market place, participation in higher and further education is essential. In this context, participation in mathematics, and in particular, higher mathematics, is an important prerequisite for young Australians to enable them to develop the range of skills that underpin a scientifically literate workforce. This is a report on a study in progress focusing on the fact that participation in mathematics study at higher levels to Year 12, and in universities in Australia, is in decline. We provide data on the specific nature of this …
Evaluating Online Mathematics Resources: A Practical Approach For Teachers, Boris Handal, Parvan Handal, Anthony J. Herrington
Evaluating Online Mathematics Resources: A Practical Approach For Teachers, Boris Handal, Parvan Handal, Anthony J. Herrington
Faculty of Education - Papers (Archive)
Gradually Internet-based educational resources are making their way into the school mathematics curriculum (Handal & Herrington, 2003). Online resources are potentially useful compared to normal courseware because of their abundance, availability at no cost, platform-free accessibility, and their wide reaching accessibility. On the other hand, a major limitation of online resources is their lack of appropriate pedagogy, coupled with poor instructional design and layout. According to Alessi and Trollip (2001, p. 392), “The tendency for the Web to be used only for presentation of materials greatly restricts its instructional potential”.
Grade 12 Mathematics Teachers' Views On Curriculum Reform In New South Wales, Paul L. Ayres, John M. Mccormick
Grade 12 Mathematics Teachers' Views On Curriculum Reform In New South Wales, Paul L. Ayres, John M. Mccormick
Faculty of Education - Papers (Archive)
This paper reports on teachers’ perceptions of major curriculum reform in New South Wales at the Higher School Certificate. Quantitative and qualitative data are presented. Measures of teacher self-efficacy and stress related to the innovation, as well as general perceptions of the implementation are reported. Mathematics teachers' views of the curriculum reform are also compared with those of other subject teachers.
Evaluating Online Mathematics Resources: A Practical Approach For Teachers, B Handal, Parvin Handal, Anthony J. Herrington
Evaluating Online Mathematics Resources: A Practical Approach For Teachers, B Handal, Parvin Handal, Anthony J. Herrington
Faculty of Education - Papers (Archive)
This paper describes a teacher-friendly approach to evaluating online mathematics resources. The Alessi and Trollip (2001) evaluation form is recommended as an instrument for assessing the worthiness of online resources from an instructional design point of view. An exploration of nearly 250 mathematics education websites revealed the benefits and limitations associated with using such a checklist. These issues are discussed through screen snapshots of webpages available from the WWW. This exploration also revealed that online resources from professional organisations’ websites seem to be better designed, organised, easy to search and more comprehensive than those from individuals’ websites.
The Conceptual Interface Between Secondary And University Mathematics: A Schema-Based Analysis, Mohan Chinnappan
The Conceptual Interface Between Secondary And University Mathematics: A Schema-Based Analysis, Mohan Chinnappan
Faculty of Education - Papers (Archive)
In this paper I provide a theoretical analysis of difficulties experienced by students in having to transfer concepts they have learnt in high school to university mathematics. This analysis is based on the assumption that mathematical knowledge can be represented in the form of organised structures called schemas. The organisational quality of students’ mathematical schemas is a function of spread of network and strength of links between pieces of information. Well-developed schemas are argued here to facilitate assimilation of university mathematical concepts and the use of this new information in the solution of novel problems.
Connections, Conjectures And Problem Solving In Primary Mathematics: The Role Of Magic Squares, Mohan Chinnappan
Connections, Conjectures And Problem Solving In Primary Mathematics: The Role Of Magic Squares, Mohan Chinnappan
Faculty of Education - Papers (Archive)
Problem solving has been given focus in current reform statements and classroom practices of mathematics teaching and learning. Clearly, there is consensus on the value of engaging students in problem-based activities in which the learner will be driven to make more meaning from the apparent disparate concepts and procedures that are taught in the classroom. Research in the area of mathematical problem solving has identified numerous processes and knowledge components that support successful problem-solving attempts by young students. Among these, the need to model or represent a given problem appropriately has been the focus of debate in discussions about problem-solving …