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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

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

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

Andrà, Chiara; Rouleau, Annette; Liljedahl, Peter; di Martino, Pietro – For the Learning of Mathematics, 2019

Tensions are an integral part of mathematics teachers' practice and have been recognised as playing a pivotal role in guiding teachers' choices, and in driving teacher change. Professional development particularly elicits dilemmas. Tensions appear to be a crucial aspect of mathematics teacher education and therefore a deeper understanding of…

Descriptors: Faculty Development, Mathematics Teachers, Mathematics Instruction, Elementary School Teachers

Gjære, Åsmund Lillevik; Blank, Natalia – For the Learning of Mathematics, 2019

L.V. Zankov (1901-1977), a student and colleague of Vygotsky, developed a system of developmental education for elementary education through 20 years of extensive research. Since 2009, a number of Norwegian schools have been using textbooks in mathematics based on Zankov's system. In this article, we present and discuss the experiences of some…

Descriptors: Foreign Countries, Mathematics Instruction, Elementary School Mathematics, Mathematics Teachers

Kofi-Davis, Ernest – For the Learning of Mathematics, 2017

Mathematics is often positioned as being difficult for Ghanaian teachers to teach and pupils to learn. Although literature point to the educational and scientific relevance of many of the socio-cultural practices in the Ghanaian society, many mathematical concepts are taught out of context in schools. In this paper I will draw on Bishop's (1988)…

Descriptors: Teaching Models, Mathematics Instruction, Elementary School Mathematics, Teaching Methods

Armstrong, Alayne – For the Learning of Mathematics, 2017

This article presents a case study of a small group of Grade 8 students performing bricolage during a classroom mathematics task. The data analysis involves the use of 'tapestries', a style of transcript that enables the consideration of both the group and individuals within the group as learning agents. I characterize bricolage as an emergent,…

Descriptors: Mathematics Instruction, Grade 8, Middle School Students, Secondary School Mathematics

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

Roth, Wolff-Michael – For the Learning of Mathematics, 2016

It has become a truism to state that mathematical knowledge or "meaning" and the norms and practices of (school) mathematical communities are negotiated and socially constructed before individuals construct (internalize) them for themselves. In this study I suggest that the social in existing conceptualizations is based on a trivial…

Descriptors: Elementary School Mathematics, Grade 2, Mathematics Curriculum, Social Environment

Venenciano, Linda; Dougherty, Barbara – For the Learning of Mathematics, 2014

Findings from international assessments present an opportunity to reconsider mathematics education across the grades. If concepts taught in elementary grades lay the foundation for continued study, then children's introduction to school mathematics deserves particular attention. We consider Davydov's theory (1966), which sequences…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Mathematical Concepts, Concept Formation

Coles, Alf – For the Learning of Mathematics, 2014

Drawing on the work of Gattegno, it is suggested that a powerful way of teaching mathematics is to introduce symbols as relationships between visible or tangible resources. The symbols are abstract (formal) from the beginning and yet there are concrete resources to support their use. Drawing on data from a research project in primary schools in…

Descriptors: Mathematics Instruction, Teaching Methods, Multiplication, Arithmetic

Roth, Wolff-Michael – For the Learning of Mathematics, 2012

To learn means coming to know something new at the end of, or subsequent to, a (learning) process. Because students do not yet know at the beginning of the process what they will know subsequent to the process, they cannot actively orient towards the object of learning. In this article, I propose a phenomenological perspective that theorizes…

Descriptors: Learning, Phenomenology, Algebra, Elementary School Mathematics

McCloskey, Andrea – For the Learning of Mathematics, 2012

In this article, I build on the work of mathematics education researchers (Hackenberg, 2005; Sztajn, 2008) who have used Noddings's (1984) notion of caring to lend insights to the teaching of mathematics. In particular, I retrospectively analyze my actions when I was serving as a mathematics teacher educator seeking to provide professional…

Descriptors: Mathematics Teachers, Elementary School Teachers, Faculty Development, Caring

Borden, Lisa Lunney – For the Learning of Mathematics, 2011

As part of a larger project focused on transforming mathematics education for Aboriginal students in Atlantic Canada, this paper reports on the role of the Mi'kmaw language in mathematics teaching. Examining how mathematical concepts are described in Mi'kmaq gives insight into ways of thinking. Shifting classroom discussions to reflect Mi'kmaw…

Descriptors: Mathematics Education, Form Classes (Languages), Grammar, Foreign Countries

Radford, Luis – For the Learning of Mathematics, 2010

In this article, I focus on what can be termed "the domestication of the eye"--that is to say, the lengthy process during which we come to see and recognize things according to "efficient" cultural means. This is the process that converts the eye into a sophisticated intellectual organ--a "theoretician" as Marx put it. In particular, I focus on…

Descriptors: Grade 2, Perception, Culture, Individual Development

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