Analysing senior secondary mathematics teaching using the Knowledge Quartet

Journal article

Maher, Nicole, Muir, Tracey and Chick, Helen. (2022). Analysing senior secondary mathematics teaching using the Knowledge Quartet. Educational Studies in Mathematics. 110(2), pp. 233-249. https://doi.org/10.1007/s10649-021-10125-1
AuthorsMaher, Nicole, Muir, Tracey and 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.

Keywordsmathematics knowledge for teaching; Knowledge Quartet; horizon content knowledge; senior secondary mathematics; calculus; probability distribution
Year2022
JournalEducational Studies in Mathematics
Journal citation110 (2), pp. 233-249
PublisherSpringer Nature B.V.
ISSN0013-1954
Digital Object Identifier (DOI)https://doi.org/10.1007/s10649-021-10125-1
Scopus EID2-s2.0-85122235573
Page range233-249
Publisher's version
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All rights reserved
File Access Level
Controlled
Output statusPublished
Publication dates
Online04 Jan 2022
Publication process dates
Accepted31 Oct 2021
Deposited18 Jul 2023
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