© 1996: The University of Newcastle: Faculty of Education
The Main Textbook
The subject text for all students taking EDGS 646 is:Recommended Additional Reading:
Clements, M.A., & Ellerton, N.F. (1991). Polya, Krutetskii and the restaurant problem. Geelong: Deakin University.A set of 42 mathematical problems (of which you will be expected to solve six) appear as the final chapter in Polya, Krutetskii and the Restaurant Problem. These problems were compiled by Professor Nerida Ellerton and Ken Clements. 14 of the problems are labelled "c" and are suitable for teachers vitally concerned with senior secondary Year 11 and 12 or tertiary mathematics; 28 of the problems are suitable for students who want to concentrate on issues associated with the teaching of junior primary and middle school mathematics. The problems labelled "a" are for those interested in junior primary, and those labelled "b" are for those especially interested in middle school.
OnLine Readings
The following readings may be viewed directly using Netscape, or located in the appropriate "READINGS" folder/directory on your CD-ROM and printed, if desired.
- Ellerton and Clements:
International trends in mathematics education research
- Clements & Ellerton:
The Newman Hierarchy of Error Causes for Written Mathematical Tasks
- Stoyanova:
Developing a framework for research into students' problem posing in school mathematics.
- Sweller:
Sweller's six myths.
- Clements:
Metacognition and mathematical problem solving.
- Arnold:
Striking a balance between challenge and support: Creating an effective mathematics learning environment.
Mason, J., & Davis, J. (1991). Fostering and sustaining mathematical thinking through problem solving. Geelong: Deakin University.Professor John Mason of the Open University, England, is regarded in the international mathematics education community as an authority on educational issues associated with mathematical problem solving. The same could be said of Dr Joy Davis who, sadly, died soon after the Mason and Davis text was published. Terence Tao is an extraordinarily gifted young mathematician who wrote his book when he was 15 years old.Tao, T. C. S. (1992). Solving mathematical problems. A personal perspective. Geelong: Deakin University.
It is also recommended that you read closely the Working Mathematically section of the National Profiles document, Mathematics - a curriculum profile for Australian schools AND relevant sections of the National Statement.If possible, you should read the book Using the Mathematics Profiles by Olssen, K., Adams, G., Grace, N. and Anderson, T. (1994). Carlton, VIC.: Curriculum Corporation.
© 1996: The University of Newcastle: Faculty of Education