ERIC Number: EJ1184878
Record Type: Journal
Publication Date: 2018
Pages: 12
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1029-8457
EISSN: N/A
Juxtaposing Secondary Mathematics Procedural Routines and Their Meta-Narratives--Exploring the Vocabulary of Student Teachers
African Journal of Research in Mathematics, Science and Technology Education, v22 n2 p209-220 2018
This paper analyses student teachers' meta-narratives associated with 'doing' mathematics. The quality of the vocabulary associated with the doing of the mathematical objects of a sample of 56 multilingual third-year mathematics methodology students preparing to be secondary teachers was explored and assessed. Sfard's theoretical concept of 'pronounced foci' and her 'critical categories' for determining if a narrative was mathematical were used to analyse the data. Meta-narratives refer to the written mathematical metacognitive monologues that manifested students' thinking while they were doing the mathematical objects. Students were required to write, in language suitable for teaching, a description of the procedure which led to a solution. The procedures and their associated meta-narratives provided data for a mixed-method analysis in this case study. The absence of a mathematical vocabulary presented difficulties when students engaged in meta-narratives. The data also show that inexact mathematical vocabularies are not culturally specific since the 11 English mother tongue students demonstrated a similar lack of command of mathematical language as their peers. Meta-narratives revealed mathematical misconceptions that may not have been detected without them. For two of the three mathematical objects there is a significant but moderate positive correlation between correct vocabulary and correct procedure. The findings support the need for mathematical vocabulary (and language) to be a teaching focus when preparing teachers for their careers and that the assessment of tasks is not completely achieved by evaluating only the procedural 'doing' of mathematics.
Descriptors: Secondary School Mathematics, Personal Narratives, Vocabulary, Student Teachers, Foreign Countries, Mathematics Instruction, Mathematics Teachers, Secondary School Teachers, Mixed Methods Research, Case Studies, Preservice Teacher Education, Mathematics, Student Teaching, Native Language, English (Second Language), African Languages, Correlation, Mathematical Formulas
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: South Africa
Grant or Contract Numbers: N/A