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Adiredja, Aditya P.; Louie, Nicole – For the Learning of Mathematics, 2020

Despite advances toward equity, mathematics education continues to be entangled with deficit discourses at every level. Here, we analyze the webs of meaning that comprise deficit discourses. We show how these discourses are supported by seemingly neutral narratives about what counts as mathematics and narratives about students from marginalized…

Descriptors: Mathematics Education, Equal Education, Social Bias, At Risk Students

Faustino, Ana Carolina; Skovsmose, Ole – For the Learning of Mathematics, 2020

Dialogue has been characterised as a communicative pattern that supports critical learning in education. Seeking to analyse this relationship, we investigated the interaction between teachers and students in two classes, a Third Grade and a Fifth Grade of São Paulo State public school. During the interaction, we identified a variety of dialogic…

Descriptors: Mathematics Instruction, Teaching Methods, Dialogs (Language), Interpersonal Communication

Staples, Megan; Lesseig, Kristin – For the Learning of Mathematics, 2020

Mathematical argumentation, justification, and proof are practices at the heart of mathematics. Yet mathematics teachers generally operate without clear definitions of these practices making it difficult to communicate expectations, decide what to accept or expect from students at different grade levels, and distinguish these activities from…

Descriptors: Mathematics Instruction, Teacher Attitudes, Learning Activities, Mathematics Teachers

Pinto, Alon; Karsenty, Ronnie – For the Learning of Mathematics, 2020

While proof is often presented to mathematics undergraduates as a well-defined mathematical object, the proofs students encounter in different pedagogical contexts may bear salient differences. In this paper we draw on the work of Dawkins and Weber (2017) to explore variations in norms and values underlying a proof across different pedagogical…

Descriptors: Validity, Mathematical Logic, Undergraduate Study, College Mathematics

Maffia, Andrea; Sabena, Cristina – For the Learning of Mathematics, 2020

Literature has already shown that gestures play a relevant role in classroom interactions between students and teacher. We integrate the perspective of Theory of Semiotic Mediation with the notion of Semiotic Bundle to illustrate how gestures can be used as "pivot signs" in semiotic chains. This means that gestures can be performed by…

Descriptors: Mathematics Teachers, Teaching Methods, Nonverbal Communication, Mathematical Concepts

Skovsmose, Ole – For the Learning of Mathematics, 2020

The article identifies three narratives about mathematics education. The first claims that mathematics is a wonderful subject, which provides a true foundation for human knowledge and progress. The second presents mathematics as a suspicious subject, which serves functions of oppression. The third highlights that mathematics has critical…

Descriptors: Mathematics Education, Social Influences, Mathematics, Political Issues

Mahlaba, Sfiso Cebolenkosi – For the Learning of Mathematics, 2020

Mathematics in its nature is exploratory, giving learners a chance to view it from different perspectives. However, during most of their schooling, South African learners are rarely exposed to mathematical explorations, either because of the lack of resources or the nature of the curriculum in use. Perhaps, this is due to teachers' inability to…

Descriptors: Geometry, Logical Thinking, Mathematical Logic, Validity

Jungic, Veselin; Yan, Xiaoheng – For the Learning of Mathematics, 2020

The aim of this article is to advise readers that natural numbers may be introduced as ordinal numbers or cardinal numbers and that there is an ongoing discussion about which come first. In addition, through several examples, the authors demonstrate that in the process of answering the question "How many?" one may, if convenient, use…

Descriptors: Number Concepts, Mathematics Instruction, Cognitive Processes, Numbers

Niss, Mogens – For the Learning of Mathematics, 2019

The purpose of this paper is to discuss a phenomenon that has evolved in mathematics education research journal articles during the last three decades, namely the 'ideal-typical' research paper. By not reflecting today's multi-faceted reality of the field, the ideal-typical research paper represents a far too narrow and rigid understanding of…

Descriptors: Mathematics Education, Educational Research, Journal Articles, Text Structure

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

Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2019

This study aims to explore a phenomenon of a one-off manifestation of mathematical creativity on the part of a student, against the background of her normative and not especially creative behavior--a flash of creativity. We seek to elaborate on this phenomenon in terms of the 4P (person, press, process and product) model of creativity. Namely,…

Descriptors: Creativity, Mathematics Instruction, Models, Personality Traits

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

Rosa, Milton; Orey, Daniel Clark – For the Learning of Mathematics, 2019

The application of ethnomathematics and mathematical modelling allow us to see a different reality and give us insight into mathematics accomplished holistically. In this context, a pedagogical action that connects ethnomathematics and the cultural aspects of mathematical modelling with its academic features is referred to as ethnomodelling. This…

Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Cultural Pluralism

Gascón, Josep; Nicolás, Pedro – For the Learning of Mathematics, 2019

In the first part of the dialogue between theories, which gave rise to a paper in this journal, we discussed the role played by normativity in didactics. In this work, with the aim of taking a step forward in this dialogue, we state explicitly some of the postulates of the anthropological theory of the didactic. They shape the object of study, the…

Descriptors: Educational Theories, Educational Anthropology, Educational Research, Mathematics Instruction

McCloskey, Andrea; Tanner, Samuel – For the Learning of Mathematics, 2019

This paper seeks to integrate a scholarship of "ritual" with a scholarship of "improvisation" and relate the intersection thereof with mathematics teaching and learning and with mathematics education research. Drawing on their experiences as classroom teachers, as practicing improvisers, and as current education researchers,…

Descriptors: Mathematics Instruction, Creative Teaching, Mathematics Teachers, Teaching Methods