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Staats, Susan; Laster, Lori Ann – For the Learning of Mathematics, 2019

This comment on Gascón & Nicolás (2017) explores relationships between mathematics education research and conceptualizations of time. Using Fabian's critique of temporal perspectives in anthropological research (1983) and Lemke's framework of timescales (2000), we consider ways in which implicit attitudes towards time in research can position…

Descriptors: Time Perspective, Time, Teaching Methods, Mathematical Concepts

Bussi, Maria G. Bartolini – For the Learning of Mathematics, 2018

In this paper, I wish to reply to the questions posed by Gascón & Nicolás (2017) about the (possibly) prescriptive nature of the research results in didactics of mathematics: To what extent, how, under which conditions can (or must), didactics set value judgments and normative prescriptions in order to provide criteria about how to organize…

Descriptors: Mathematics, Mathematics Instruction, Research

Geiger, Vince; Margolinas, Claire; Sträßer, Rudolph – For the Learning of Mathematics, 2017

This is a response to the collection of communications in 37(1), two of which cited Vince and Rudolf's article in 35(3). Vince and Rudolf have have been joined here by Claire Margolinas in order to provide a complementary (French) perspective to their Australian and German outlooks on this topic. The comments of the three of us can be grouped into…

Descriptors: Mathematics Education, Educational Research, Multilingualism

Lockwood, Elise – For the Learning of Mathematics, 2014

In this article, I present the notion of a set-oriented perspective for solving counting problems that emerged during task-based interviews with postsecondary students. Framing the findings within Harel's "ways of thinking", I argue that students may benefit from this perspective, in which they view attending to sets of outcomes as…

Descriptors: Mathematics Instruction, Number Concepts, Postsecondary Education

Papademetri-Kachrimani, Chrystalla – For the Learning of Mathematics, 2012

In this paper I argue my opposition to the consensus which has dominated the literature that young children view shapes as a whole and pay no attention to shape structure and that geometrical thinking can be described through a hierarchical model formed by levels. This consensus is linked to van Hiele's weok by van Hiele-based research. In the…

Descriptors: Young Children, Geometric Concepts, Cognitive Processes, Mathematics Education

Khan, Steven – For the Learning of Mathematics, 2011

I argue that until ethnomathematical frameworks are explicitly used to investigate the specific mathematical practices in networks of powerful elites the term will continue to index that which is Other to "traditional" mathematics and run a risk of desubstantialization. I suggest that the field ally itself with disciplines and perspectives in…

Descriptors: Mathematics Education, Ethnology, Mathematics, Investigations

Mason, John – For the Learning of Mathematics, 2010

Indulging in recounting a few salient memories of what seems now like a dim and distant past, I raise questions about the ebb and flow, the waxing and waning of salient themes in mathematics education. I mention some of the most inspirational influences on my thinking and on my behaviour with learners of all ages. I take the opportunity to ask…

Descriptors: Mathematics Education, Influences, Theory Practice Relationship

Baker, Dave; Street, Brian – For the Learning of Mathematics, 2004

In this commentary, the authors debate a number of issues associated with literacy and numeracy and with developing a "social" perspective on numeracy, particularly in relation to four points arising from Barwell's intervention: (1) the use of terms mathematics and numeracy; (2) the notion of text as it is applied to these domains; (3)…

Descriptors: Literacy, Numeracy, Social Influences, Mathematics Skills

Pimm, David – For the Learning of Mathematics, 2004

The author has framed this brief appreciation of David Flower in terms of influence; specifically, his influence as a teacher, both in person and through his writing (most of all his attempted rewriting of much of the history of Greek mathematics). The author will also make some second-order remarks about the influence of teachers.

Descriptors: Authors, Mathematics Education, Mathematics Teachers, Profiles

Barton, Bill – For the Learning of Mathematics, 2004

In this article, the author comments on the article "Solid geometry in the works of an iron artisan,'" Castro, 23(3). The author finds it interesting to read about the implicit mathematical knowledge of ironworkers, weavers, tailors and other practitioners as they undertake their various crafts and professions. In the article, Fernando…

Descriptors: Mathematics, Educational Practices, Mathematics Education, Geometric Concepts

Tall, David – For the Learning of Mathematics, 2004

In this commentary on Matthew Inglis' "Three Worlds and the Imaginary Sphere" (see EJ1106688), David Tall develops the theme that the building of theories is not an easy process. A theory in progress is a particularly delicate creation. Theories do not appear fully formed. There is a period of exploration and incubation that precedes the…

Descriptors: Theories, Mathematics, Mathematical Concepts, Perception

Khait, Alexander – For the Learning of Mathematics, 2003

The purpose of this article is to provoke discussion on the priorities of research in mathematics education. Mathematics education is a vast field, and there is always a possibility that no one direction stands out in its importance. Each researcher has some list of priorities and "pet topics." The author ventures to propose a research…

Descriptors: Mathematics Education, Educational Research, Educational Methods

Inglis, Matthew – For the Learning of Mathematics, 2003

Gary and Tall (2001) recently suggested that mathematics can be split up into "three worlds": the embodied, the proceptual and the axiomatic. They claim that objects from each of these worlds are formed, and reasoned about, in significantly different ways. During the course of this article the author considers the three world's theory…

Descriptors: Mathematics Education, Cluster Grouping, Criticism, Educational Theories

Gascon, Josep – For the Learning of Mathematics, 2003

In the International Commission on Mathematical Instruction (ICMI) study, "Mathematics Education as a Research Domain: A Search for Identity" (Sierpinska and Kilpatrick, 1998), an eclectic point of view is adopted in terms of both the object of study in mathematics education and the objectives of research, the types of problems that it…

Descriptors: Mathematics Education, Intellectual Disciplines, Research Methodology, Educational Research

Peer reviewed

Davis, Philip J. – For the Learning of Mathematics, 2003

Discusses public indifference and student ignorance toward mathematics in the U.S. Presents a basic core of mathematics knowledge that everyone should know. (KHR)

Descriptors: Apathy, Elementary Secondary Education, General Mathematics, Mathematics Curriculum