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Bishop, Jessica Pierson; Koehne, Christina; Hicks, Michael D. – For the Learning of Mathematics, 2022
What does it mean to have mathematical authority? How does it differ from pedagogical authority? We drew upon Goffman's (1981) ideas of author and animator to exemplify modes of mathematical authority that extend beyond the authorship of ideas. Through a series of excerpts from lessons in middle-grades mathematics classrooms, this paper emphasizes…
Descriptors: Mathematics Instruction, Middle School Mathematics, Power Structure, Teacher Role
Tillema, Erik; Gatza, Andrew – For the Learning of Mathematics, 2016
We provide a conceptual analysis of how combinatorics problems have the potential to support students to establish non-linear meanings of multiplication (NLMM). The problems we analyze we have used in a series of studies with 6th, 8th, and 10th grade students. We situate the analysis in prior work on students' quantitative and multiplicative…
Descriptors: Mathematics Instruction, Multiplication, Mathematics Skills, Thinking Skills