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Building and assessing subject knowledge in mathematics for pre-service students

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Ainley, Janet and Briggs, Mary (Mary J.). (1998) Building and assessing subject knowledge in mathematics for pre-service students. Teacher Development, Vol.3 (No.2). pp. 197-218. ISSN 1366-4530

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Official URL: http://dx.doi.org/10.1080/13664539900200080

Abstract

In planning and teaching curriculum courses for pre-service primary teachers, both within a one-year Post Graduate Certificate of Education (PGCE) programme, and in a four-year undergraduate degree leading to Qualified Teacher Status (QTS), we have always been aware that mathematics presents particular problems because of the experiences and attitudes students bring to the subject. We have always tried to balance students’ learning about how children learn mathematics in school, with reflection on their own experiences as learners, and with understanding of the mathematical content of the curriculum. In the past, mathematical content has generally been approached indirectly through discussion of activities and materials appropriate for the primary classroom. However the recent introduction in the U.K. of a National Curriculum for Primary Mathematics in Initial Teacher Training (ITT) which places considerable emphasis on students’ subject knowledge, has meant that we have had to rethink the balance within courses, and to place much more overt emphasis on developing students’ mathematical knowledge. In this paper we describe the way in which we have approached building and assessing mathematical knowledge during the pilot phase of the ITT National Curriculum, examine some of the students’ responses to our approach, and discuss the issues this has raised.

Item Type: Journal Article
Subjects: L Education > LB Theory and practice of education
Divisions: Faculty of Social Sciences > Institute of Education
Library of Congress Subject Headings (LCSH): Teachers -- Professional development, Education -- England -- Curricula, Mathematics -- Study and teaching -- England
Journal or Publication Title: Teacher Development
Publisher: Routledge
ISSN: 1366-4530
Date: July 1998
Volume: Vol.3
Number: No.2
Page Range: pp. 197-218
Identification Number: 10.1080/13664539900200080
Status: Peer Reviewed
Access rights to Published version: Open Access
References: Ainley, J. (1997) Constructing Purpose in Mathematical Activity, in E. Pehkonen (Ed.) Proceedings of the Twenty First Conference of the International Group for the Psychology of Mathematics Education. Lahti: University of Helsinki. Apple, M. W. (1989) How equality has been redefined in the conservative restoration. In W. Secada, (Ed.) Equity and Education. New York: Falmer Press. Askew, M., Brown, M., Rhodes, V. Johnson, D. and William, D.(1997) Effective Teachers of Numeracy (a report for the Teacher Training Agency). London: King’s College. Briggs, M. (1993) Bags and Baggage revisited (or another suitcase on the rack) Mathematics Education Review, No 2, pp. 16-20. Briggs, M. (1994) Unpacking your bags, Mathematics Education Review, No 4, pp. 15-24. Cooper, B. and Dunne, M. (1998) Social Class, gender, equity and National Curriculum tests in mathematics, in P. Gates (Ed.) Proceedings of the First International Mathematics Education and Society Conference. Nottingham: University of Nottingham. Crook, J and Briggs, M. (1991) Bags and Baggage, in D. Pimm and E. Love (Eds.) Teaching and Learning School Mathematics. London: Hodder and Stoughton. Duncan, A. (1993) What Primary Teachers Should Know About Maths. London: Hodder and Stoughton. Haylock, D. (1995) Mathematics Explained for Primary Teachers. London: Paul Chapman Publishing. Skemp, R. (1976),Relational Understanding and Instrumental Understanding, Mathematics Teaching 77, pp 20-26
URI: http://wrap.warwick.ac.uk/id/eprint/433

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