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Ryan, Ulrika – For the Learning of Mathematics, 2019

In this article, I examine how a focus on preciseness in the mathematics classroom could affect group activity. The preciseness relates to the ways mathematical concepts, in this case angles are described in discourse between students. In this context, I consider how 'micro-invalidations', can limit students' opportunities to learn in a social and…

Descriptors: Mathematics Instruction, Epistemology, Mathematical Concepts, Foreign Countries

Thouless, Helen; Gifford, Sue – For the Learning of Mathematics, 2019

In this article we compare two frameworks for analysing young children's responses to the task of copying and extending a 6-dot triangle pattern. We used Mulligan & Mitchelmore's Awareness of Mathematical Pattern and Structure (AMPS) and then Biggs & Collis' SOLO taxonomy, both of which provide criteria for assigning levels. In comparison…

Descriptors: Preschool Children, Pattern Recognition, Geometric Concepts, Disadvantaged Youth

Tomaz, Vanessa Sena; David, Maria Manuela – For the Learning of Mathematics, 2018

Our aim is to discuss some choices of communicational artifacts made by Maxakali Brazilian Indigenous students to register and operate with numbers in a mathematics education course, and how these choices reflect in the ongoing classroom activity. We rely on Activity Theory to analyze an activity involving them and discuss how the choice of…

Descriptors: Foreign Countries, Indigenous Populations, Minority Group Students, Mathematics Education

Davis, Brent – For the Learning of Mathematics, 2018

Based on input from several scholars, Gascón and Nicolás (2017) attempted "to start a dialogue aimed at laying the foundations for a better understanding and a scientific cooperation between different theories in Didactics." Consistent with that goal, I examine uninterrogated assumptions that shaped their analysis. I assert that such…

Descriptors: Mathematics Education, Educational Research, Educational Theories, Ideology

Paoletti, Teo; Moore, Kevin C. – For the Learning of Mathematics, 2018

Supporting students developing understandings of function has been a notoriously elusive task in mathematics education. We present Thompson and Carlson's (2017) description of a covariational meaning of function and provide an example of a student who maintains meanings compatible with this description. We use this student's activity to illustrate…

Descriptors: Mathematics Education, Mathematical Concepts, Knowledge Level, Comprehension

Lai, Yvonne; Jacobson, Erik – For the Learning of Mathematics, 2018

This paper focuses on the design of tasks that situate teachers in the work of mathematics teaching. We examine a simple, yet fundamental feature of pedagogical content knowledge tasks: the extent to which pedagogical warrants are necessitated by the pedagogical context. We argue that this feature has implications for the design of tasks, as well…

Descriptors: Mathematics Instruction, Pedagogical Content Knowledge, Instructional Design, Mathematics Teachers

Skovsmose, Ole – For the Learning of Mathematics, 2018

The notion of social justice has been addressed from the perspective of 'ethical realism' and 'ethical anarchistic'. Here, however, the possibility of 'ethical constructivism' becomes formulated. With departure in Rawls' description of an idealised meeting defining social justice, the initial steps into ethical constructivism become taken.…

Descriptors: Social Justice, Ethics, Mathematics Education, Constructivism (Learning)

Komatsu, Kotaro; Fujita, Taro; Jones, Keith; Naoki, Sue – For the Learning of Mathematics, 2018

Kitcher's idea of 'explanatory unification', while originally proposed in the philosophy of science, may also be relevant to mathematics education, as a way of enhancing student thinking and achieving classroom activity that is closer to authentic mathematical practice. There is, however, no mathematics education research treating explanatory…

Descriptors: Mathematics Education, Grade 8, Mathematical Concepts, Thinking Skills

Stott, Debbie – For the Learning of Mathematics, 2018

In this article I provide a preliminary review of Radford's ideas about the poetic role of theory and his work on moments of poesis in terms of its appeal and usefulness in research contexts. In light of the mathematics education community's call for more attention to be given to the aesthetic elements of learning mathematics, I conclude that…

Descriptors: Poetry, Mathematics Instruction, Aesthetics, Teaching Methods

Lerman, Stephen – For the Learning of Mathematics, 2018

Many predominantly English-speaking countries have problems understanding the notion of "didactics" as it is used in many European and other countries. The term appears almost exclusively in the UK as a description of a form of teaching which in recent decades has been seen pejoratively. Didactic teaching is taken to mean teaching with…

Descriptors: Mathematics Education, Teaching Methods, Didacticism, Value Judgment

Yoon, Caroline – For the Learning of Mathematics, 2017

Popular culture casts mathematics and writing as opposites--a false dichotomy, which can be harmful for our discipline of mathematics education. Positioning writing outside the domain of the mathematician's abilities and cultivated skill set can create doubt in the mathematician wishing to write--not that one cannot be both writer and…

Descriptors: Writing Strategies, Writing Skills, Mathematics, Professional Personnel

di Martino, Pietro; Baccaglini-Frank, Anna – For the Learning of Mathematics, 2017

In this article, we discuss the potential of a critical approach to standardized tests and their results. In particular, we explore and discuss this potential not only for the assessment of students' mathematical competence, but also for teachers' professional development. We identify and describe two kinds of potential: the Informational…

Descriptors: Standardized Tests, Mathematics Tests, Faculty Development, Evaluation Utilization

Gascón, Josep; Nicolás, Pedro – For the Learning of Mathematics, 2017

Value judgments, prescriptions and proscriptions concerning instructional proposals seem to be very frequent in works in Didactics (papers, communications,…). In this paper we tackle the question of whether claims of this kind are legitimate. In few words, we wonder whether didactics can say how to teach. For that, we analyse and compare the…

Descriptors: Value Judgment, Scientific Principles, Mathematical Concepts, Mathematics Instruction

Ahl, Linda; Aguilar, Mario Sánchez; Jankvist, Uffe Thomas – For the Learning of Mathematics, 2017

While distance education (DE) is often considered as a means to provide mathematical education to students in remote locations or to promote the professional development of mathematics teachers, this article reports a case showing that DE may also be useful in providing mathematical instruction to individuals who are marginalized or disadvantaged…

Descriptors: Distance Education, Mathematics Education, Educational Technology, Technology Uses in Education

Chorney, Sean – For the Learning of Mathematics, 2017

This paper approaches the concept of the circle through the framework of mathematics-as-becoming. This paper focuses specifically on how a concept can be thought of as a process, and on the implications that this might have for mathematics learning. Contrary to long-standing assumptions about mathematical concepts as ideal, inert, Platonic forms,…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Geometric Concepts