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Analysing senior secondary mathematics teaching using the Knowledge Quartet
Maher, Nicole Muir, Tracey Chick, Helen
Maher, Nicole
Muir, Tracey
Chick, Helen
Abstract
The multi-faceted nature of mathematics knowledge for teaching, including pedagogical content knowledge (PCK), has been studied widely in elementary classrooms, but little research has focused on senior secondary mathematics teaching. This study utilised the Knowledge Quartet (Rowland et al., Research in Mathematics Education, 17(2), 74–91, 2005) to analyse mathematics teaching at the senior secondary level using excerpts from a lesson on differential calculus and another on discrete probability distributions. The findings reveal that, at this level, there is a complex interplay among aspects of the Knowledge Quartet, including the impact of foundational knowledge on contingent moments. Horizon content knowledge is shown to play an important role in teaching decisions, as do perceived constraints. This has implications for future research into how teachers’ horizon knowledge might be expanded and into teachers’ perceptions of mathematics course constraints on the enactment and development of their mathematics knowledge for teaching.
Keywords
mathematics knowledge for teaching, Knowledge Quartet, horizon content knowledge, senior secondary mathematics, calculus, probability distribution
Date
2022
Type
Journal article
Journal
Educational Studies in Mathematics
Book
Volume
110
Issue
2
Page Range
233-249
Article Number
ACU Department
School of Education
Faculty of Education and Arts
Faculty of Education and Arts
Collections
Relation URI
Source URL
Event URL
Open Access Status
License
All rights reserved
File Access
Controlled