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ERIC Number: EJ940927
Record Type: Journal
Publication Date: 2011-Jun-15
Pages: 23
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1473-0111
EISSN: N/A
Available Date: N/A
Translations among Mathematical Representations: Teacher Beliefs and Practices
Bosse, Michael J.; Adu-Gyamfi, Kwaku; Cheetham, Meredith
International Journal for Mathematics Teaching and Learning, Jun 2011
Student ability, teacher expectations, respective degrees of difficulty, and curriculum and instructional practices all work together to provide students experiences leading to differing levels of success in respect to mathematical translations. Herein, we discuss teacher beliefs and instructional practices, investigate why some translations seem to be more difficult than others, and provide instructional recommendations to assist students and teachers with mathematical translations. Through formal and informal observations of high school Algebra and Pre-Calculus teachers and students, possible links of causality have been observed to explain students' difficulties in translating among mathematical representations (verbal, symbolic (or algebraic), tabular (or numeric) and graphical). Affecting students' success are dimensions including: teachers' expectations of students being able to perform these translations; what teachers directly instruct and model in the classroom regarding translations; the complexity of some of these translations; and the level of the mathematics depicted in some of the representations. These dimensions and roles as causal factors in students translating from one representation to another are discussed in this paper. (Contains 7 figures.)
Centre for Innovation in Mathematics Teaching. 5th Floor Rolle Building, Faculty of Education University of Plymouth, Drake Circus, Plymouth, PL4 8AA, UK. Tel: +44-1752-585346; Fax: +44-1752-585344; e-mail: feedback@cimt.org.uk; Web site: http://www.cimt.plymouth.ac.uk/journal/
Publication Type: Journal Articles; Reports - Research
Education Level: High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A