Mathematics teachers' work: Identifying what teachers do and how they do it.

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Title: Mathematics teachers' work: Identifying what teachers do and how they do it.
Authors: Callingham, Rosemary1 Rosemary.Callingham@utas.edu.au, Oates, Greg1 greg.oates@utas.edu.au, Hay, Ian1 ian.hay@utas.edu.au
Source: Australian Mathematics Education Journal (AMEJ). 2026, Vol. 7 Issue 3, p25-29. 5p.
Subject Terms: *Mathematics education, *Pedagogical content knowledge, *Teaching methods, *Teacher education, *Expertise, *Observation (Educational method)
Abstract: The article focuses on the complexities of mathematics teaching and the frameworks used to analyze teachers' practices, particularly the Knowledge Quartet framework. It highlights how mathematics teachers utilize various types of professional knowledge, including content and pedagogical content knowledge, to enhance student learning. The article provides examples from classroom observations of two teachers, illustrating how they engage students in discussions, manage unexpected responses, and connect mathematical concepts to real-life situations. The findings suggest that understanding the intricacies of teaching mathematics can inform teacher education and improve instructional practices. [Extracted from the article]
Copyright of Australian Mathematics Education Journal (AMEJ) is the property of Australian Association of Mathematics Teachers Limited and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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An: 191193629
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PubType: Academic Journal
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  Data: Mathematics teachers' work: Identifying what teachers do and how they do it.
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  Data: <searchLink fieldCode="AR" term="%22Callingham%2C+Rosemary%22">Callingham, Rosemary</searchLink><relatesTo>1</relatesTo><i> Rosemary.Callingham@utas.edu.au</i><br /><searchLink fieldCode="AR" term="%22Oates%2C+Greg%22">Oates, Greg</searchLink><relatesTo>1</relatesTo><i> greg.oates@utas.edu.au</i><br /><searchLink fieldCode="AR" term="%22Hay%2C+Ian%22">Hay, Ian</searchLink><relatesTo>1</relatesTo><i> ian.hay@utas.edu.au</i>
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  Data: <searchLink fieldCode="JN" term="%22Australian+Mathematics+Education+Journal+%28AMEJ%29%22">Australian Mathematics Education Journal (AMEJ)</searchLink>. 2026, Vol. 7 Issue 3, p25-29. 5p.
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  Data: *<searchLink fieldCode="DE" term="%22Mathematics+education%22">Mathematics education</searchLink><br />*<searchLink fieldCode="DE" term="%22Pedagogical+content+knowledge%22">Pedagogical content knowledge</searchLink><br />*<searchLink fieldCode="DE" term="%22Teaching+methods%22">Teaching methods</searchLink><br />*<searchLink fieldCode="DE" term="%22Teacher+education%22">Teacher education</searchLink><br />*<searchLink fieldCode="DE" term="%22Expertise%22">Expertise</searchLink><br />*<searchLink fieldCode="DE" term="%22Observation+%28Educational+method%29%22">Observation (Educational method)</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The article focuses on the complexities of mathematics teaching and the frameworks used to analyze teachers' practices, particularly the Knowledge Quartet framework. It highlights how mathematics teachers utilize various types of professional knowledge, including content and pedagogical content knowledge, to enhance student learning. The article provides examples from classroom observations of two teachers, illustrating how they engage students in discussions, manage unexpected responses, and connect mathematical concepts to real-life situations. The findings suggest that understanding the intricacies of teaching mathematics can inform teacher education and improve instructional practices. [Extracted from the article]
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  Group: Ab
  Data: <i>Copyright of Australian Mathematics Education Journal (AMEJ) is the property of Australian Association of Mathematics Teachers Limited and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        PageCount: 5
        StartPage: 25
    Subjects:
      – SubjectFull: Mathematics education
        Type: general
      – SubjectFull: Pedagogical content knowledge
        Type: general
      – SubjectFull: Teaching methods
        Type: general
      – SubjectFull: Teacher education
        Type: general
      – SubjectFull: Expertise
        Type: general
      – SubjectFull: Observation (Educational method)
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      – TitleFull: Mathematics teachers' work: Identifying what teachers do and how they do it.
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            NameFull: Callingham, Rosemary
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            NameFull: Oates, Greg
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            NameFull: Hay, Ian
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            – D: 01
              M: 09
              Text: 2026
              Type: published
              Y: 2026
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