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Metaxas, N.; Potari, D.; Zachariades, T. – Educational Studies in Mathematics, 2016

In this article, we elaborate methodologies to study the argumentation speech of a teacher involved in argumentative activities. The standard tool of analysis of teachers' argumentation concerning pedagogical matters is Toulmin's model. The theory of argumentation schemes offers an alternative perspective on the analysis of arguments. We propose…

Descriptors: Persuasive Discourse, Discourse Analysis, Graduate Students, Hypothesis Testing

Lee, Ji-Eun; Kim, Kyoung-Tae – Educational Studies in Mathematics, 2016

This study aimed to explore pre-service elementary teachers' (PSTs') conceptions of effective teacher talk in mathematics instruction, which were interpreted primarily based on the concept of communicative approach. This was accomplished through a task that involves analyzing and evaluating a sample teacher-student dialogue. This study…

Descriptors: Preservice Teachers, Teacher Attitudes, Teacher Student Relationship, Teacher Effectiveness

Fernández-Plaza, José Antonio; Simpson, Adrian – Educational Studies in Mathematics, 2016

In many mathematics curricula, the notion of limit is introduced three times: the limit of a sequence, the limit of a function at a point and the limit of a function at infinity. Despite the use of very similar symbols, few connections between these notions are made explicitly and few papers in the large literature on student understanding of…

Descriptors: Concept Teaching, Mathematical Concepts, Mathematics Curriculum, Symbols (Mathematics)

Peck, Frederick; Matassa, Michael – Educational Studies in Mathematics, 2016

In this paper, we explore algebra students' mathematical realities around fractions and division, and the ways in which students reinvented mathematical productions involving fractions and division. We find that algebra students' initial realities do not include the fraction-as-quotient sub-construct. This can be problematic because in algebra,…

Descriptors: Algebra, Mathematics Instruction, Fractions, Mathematical Concepts

Moore, Kevin C.; LaForest, Kevin R.; Kim, Hee Jung – Educational Studies in Mathematics, 2016

We discuss a teaching experiment that explored two pre-service secondary teachers' meanings for the unit circle. Our analyses suggest that the participants' initial unit circle meanings predominantly consisted of calculational strategies for relating a given circle to what they called "the unit circle." These strategies did not entail…

Descriptors: Preservice Teachers, Secondary School Teachers, Secondary School Mathematics, Mathematics Instruction

Komatsu, Kotaro – Educational Studies in Mathematics, 2016

The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically within the discipline of mathematics. In this paper, a framework for describing student processes of proofs and refutations is constructed using a set of…

Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Knowledge Level

Casey, Stephanie A.; Nagle, Courtney – Educational Studies in Mathematics, 2016

Learning experiences regarding the line of best fit are typically students' first encounters with the fundamental topic of statistical association. Students bring with them into these learning experiences prior knowledge and experiences about mathematical lines and their properties, namely slope. This study investigated the role students'…

Descriptors: Mathematics Instruction, Grade 8, Interviews, Mathematical Concepts

Ernest, Paul – Educational Studies in Mathematics, 2016

Two questions about certainty in mathematics are asked. First, is mathematical knowledge known with certainty? Second, why is the belief in the certainty of mathematical knowledge so widespread and where does it come from? This question is little addressed in the literature. In explaining the reasons for these beliefs, both cultural-historical and…

Descriptors: Mathematics Education, Mathematical Concepts, Mathematical Logic, Epistemology

Boylan, Mark – Educational Studies in Mathematics, 2016

The relationships between mathematics, mathematics education and issues such as social justice and equity have been addressed by the sociopolitical tradition in mathematics education. Others have introduced explicit discussion of ethics, advocating for its centrality. However, this is an area that is still under developed. There is a need for an…

Descriptors: Ethics, Mathematics Education, Ambiguity (Context), Heuristics

Pais, Alexandre – Educational Studies in Mathematics, 2016

The issue of subjectivity has recently occasioned a lively discussion in this journal opposing socioculturalism and Lacanian psychoanalysis. By confronting Luis Radford's cultural theory with Jacques Lacan's psychoanalysis, Tony Brown sought to show the limitations of socioculturalism. This article takes advantage of that discussion to develop a…

Descriptors: Sociocultural Patterns, Social Influences, Cultural Influences, Mathematics Instruction

Skovsmose, Ole – Educational Studies in Mathematics, 2016

The referential theory of meaning as well as the use-oriented theory of meaning have huge impacts on the discussion of meaning in mathematics education. Here, I present a third theory in terms of an intentionality interpretation of meaning, which provides an alternative departure for the discussion of meaning in mathematics education. The…

Descriptors: Mathematics Education, Intention, Barriers, Stereotypes

Nolan, Kathleen T. – Educational Studies in Mathematics, 2016

School discursive practices produce and reproduce acceptable notions of the good mathematics teacher, thereby shaping identity and agency in becoming a teacher. In this paper, I draw on key aspects of Bourdieu's social field theory--his conceptual "thinking tools" and his reflexive sociology--to explore the relations and discourses of…

Descriptors: Mathematics Teachers, Mathematics Instruction, Secondary School Teachers, Beginning Teachers

Sandoval, Ivonne; Possani, Edgar – Educational Studies in Mathematics, 2016

The purpose of this paper is to present an analysis of the difficulties faced by students when working with different representations of vectors, planes and their intersections in R[superscript 3]. Duval's theoretical framework on semiotic representations is used to design a set of evaluating activities, and later to analyze student work. The…

Descriptors: Models, Semiotics, Undergraduate Students, Higher Education

Ernest, Paul – Educational Studies in Mathematics, 2016

Mathematics education is a complex, multi-disciplinary field of study which treats a wide range of diverse but interrelated areas. These include the nature of mathematics, the learning of mathematics, its teaching, and the social context surrounding both the discipline and applications of mathematics itself, as well as its teaching and learning.…

Descriptors: Mathematics, Mathematics Instruction, Mathematics Education, Field Studies

Venenciano, Linda; Heck, Ronald – Educational Studies in Mathematics, 2016

Early experiences with theoretical thinking and generalization in measurement are hypothesized to develop constructs we name here as logical reasoning and preparedness for algebra. Based on work of V. V. Davydov (1975), the Measure Up (MU) elementary grades experimental mathematics curriculum uses quantities of area, length, volume, and mass to…

Descriptors: Algebra, Mathematics, Mathematics Instruction, Mathematics Curriculum