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Direct linkScheiner, Thorsten; Bowers, David M. – For the Learning of Mathematics, 2023
This paper problematizes the metaphors of unpacking, deconstructing, and decompressing mathematics that are prevalent in discourses about mathematics teacher knowledge. It is argued that the logic of these metaphors is based on the reversibility of packing, constructing, and compressing mathematics and seems to suggest the view that knowledge is…
Descriptors: Mathematics Instruction, Teaching Methods, Colonialism, Mathematics Teachers
Wasserman, Nicholas H. – For the Learning of Mathematics, 2022
Shulman (1986) conceptualized pedagogical content knowledge (PCK) at the intersection of content knowledge and pedagogical knowledge. In this paper, I re-explore the intersection of content--in our case, mathematics--and pedagogy, not in terms of domains of knowledge, but in terms of domains of practice. I conceptualize, describe, and exemplify…
Descriptors: Teaching Methods, Mathematics Instruction, Pedagogical Content Knowledge, Educational Practices
Rowland, Tim – For the Learning of Mathematics, 2012
This paper describes and analyses two mathematics lessons, one with very young pupils, about subtraction, the other for lower secondary school pupils, about gradients [slopes] and graphs. The focus of the analysis is on teacher knowledge, and on the fundamental mathematical and mathematics-pedagogical prerequisites that underpin teaching these…
Descriptors: Teacher Characteristics, Subtraction, Pedagogical Content Knowledge, Students
Zazkis, Rina; Mamolo, Ami – For the Learning of Mathematics, 2009
Mathematical knowledge used in teaching has attracted the interest of many researchers, but was mainly explored considering teaching at the elementary school level. This paper attends to mathematical knowledge used in teaching at the University level. We present a story about a student suggesting reconsideration of Cantor's diagonal method and the…
Descriptors: Mathematics Education, Mathematics Teachers, Classroom Environment, Pedagogical Content Knowledge
Burgess, Tim – For the Learning of Mathematics, 2009
This paper first reports on the methodology of a study of teacher knowledge for statistics, conducted in a classroom at the primary school level. The methodology included videotaping of a sequence of lessons that involved students in investigating multivariate data sets, followed up by audiotaped interviews with each teacher. These stimulated…
Descriptors: Investigations, Research Methodology, Teacher Attitudes, Statistics
Huillet, Danielle – For the Learning of Mathematics, 2009
This paper analyses how the mathematical knowledge needed by a teacher has been described by several mathematics educators, all based on Shulman's notions of Subject Matter Knowledge and Pedagogical Content Knowledge. In particular, it looks at the notion of Mathematics Knowledge for Teaching, as elaborated by Ball and her research group. It then…
Descriptors: Mathematics Education, Anthropology, Knowledge Base for Teaching, Foreign Countries
