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Beisiegel, Mary; Simmt, Elaine – For the Learning of Mathematics, 2012

In this article, we explore the influence of mathematics graduate students' experiences with the teaching assistantships and texts that they encounter in their programs on their development and identity as teachers. We look to von Foerster's notion of trivial and non-trivial machines to interpret the graduate students' experiences and explain how…

Descriptors: Graduate Students, Teaching Assistants, Preservice Teacher Education, Identification

Walter, Marion – For the Learning of Mathematics, 2003

There are many ways to generate mathematical problems from a starting point. This author shares some thoughts that led to production of a number of them. The problems contained here range in level from Kindergarten to college. Walter starts by providing the problems so that the reader will have the opportunity to solve them without any hints.…

Descriptors: Mathematics Instruction, Elementary Secondary Education, Higher Education, Problem Solving

Peer reviewed

Handa, Yuichi – For the Learning of Mathematics, 2003

Investigates the heart of the experience of mathematical engagement and the meaning derived from such activities. Analyzes dialogue between five people, two of whom are professional mathematicians, another two who are graduate students in either engineering or education, and one who lacks advanced mathematical training but maintains a positive…

Descriptors: Affective Behavior, Attitudes, Discourse Analysis, Higher Education

Peer reviewed

D'Amore, Bruno – For the Learning of Mathematics, 2003

Inspired by the studies of pioneer Raymond, aims to redraw and make obvious the different hypotheses explaining missed devolvement. Supports research on the notions of concept and object in mathematics. (KHR)

Descriptors: Concept Formation, Higher Education, Mathematics Education

Peer reviewed

Rodd, Melissa – For the Learning of Mathematics, 2003

Explains why mathematics lectures have a special role in stimulating the imagination and why attending lectures has a significant role in inducting students into their university's mathematical community. (KHR)

Descriptors: Curriculum Design, Foreign Countries, Higher Education, Lecture Method

Peer reviewed

Sanchez, Jose M. Chamoso – For the Learning of Mathematics, 2003

Presents a dialogue between two mathematics teachers of different nationalities formulated around three points: (1) student role; (2) teacher role; and (3) how dialogue may be understood as a medium for teaching. Offers some conclusions on which this form of teaching may be based. (KHR)

Descriptors: Discourse Analysis, Foreign Countries, Higher Education, Mathematics Instruction

Peer reviewed

Alcock, Lara; Simpson, Adrian – For the Learning of Mathematics, 2002

Explores differences between mathematical definitions and non-mathematical definitions by contrasting three approaches to mathematical reasoning. Examines the consequences of the use of those approaches in a first course in real analysis. Analyzes students' reasoning behavior during analysis and suggests reasons for students' difficulties with the…

Descriptors: Higher Education, Learning Problems, Mathematical Concepts, Mathematical Logic

Peer reviewed

Pinto, Marcia; Tall, David – For the Learning of Mathematics, 2002

Reports on a case study of a student who constructs formalism not from processes of quantification, but from his own visuospatial imagery. Rather than construct new objects from cognitive processes, the student reflects on mental objects already in mind and refines them to build an interpretation of the formal theory. This example leads to…

Descriptors: Case Studies, Communication (Thought Transfer), Higher Education, Mathematics

Peer reviewed

Brown, Stephen – For the Learning of Mathematics, 1981

The need for improving the dialog between teacher and student is promoted as an important step towards improving the mathematics curriculum. (MP)

Descriptors: Educational Change, Elementary Secondary Education, Higher Education, Learning Theories

Peer reviewed

Freudenthal, Hans – For the Learning of Mathematics, 1981

Reasons for one who teaches mathematics to know some mathematics history are investigated. Processes rather than products of mathematical creativity are the preferred subjects of study. (MP)

Descriptors: Elementary Secondary Education, Higher Education, History Instruction, Mathematical Enrichment

Peer reviewed

Bussi, Maria G. Bartolini; Mariotti, Maria Alessandra – For the Learning of Mathematics, 1999

Presents an exploratory study with expert university students to determine how students could reseal the rupture and restore a sense of unity between the figural and conceptual components of conic sections. Suggests certain tools of semiotic mediation which could be introduced to enable students to achieve the conceptual oversight that is possibly…

Descriptors: Abstract Reasoning, College Mathematics, Geometric Concepts, Higher Education

Peer reviewed

Stevenson, Ian – For the Learning of Mathematics, 1999

Reflects on some aspects of learning mathematics that emerged along the way in creating a turtle-based exploratory tool for non-Euclidean geometry. Contains 14 references. (ASK)

Descriptors: College Mathematics, Computer Uses in Education, Geometric Concepts, Higher Education

Peer reviewed

Nesher, Pearla – For the Learning of Mathematics, 1997

Raises a number of questions about knowledge generation from mathematics education and the nature of pedagogical information in the field. Considers two main activities within the realm of mathematics education: (1) pursuing investigations to improve instruction and (2) redefining the boundaries of mathematics as a subject. (DDR)

Descriptors: Educational Strategies, Elementary Secondary Education, Epistemology, Higher Education

Peer reviewed

Shoenfeld, Alan H. – For the Learning of Mathematics, 1996

Discusses the similarities in learning outcomes from two very different environments: a research group and a problem-solving course. Provides examples that characterize the two environments and that point to similarities in outcomes. Speculates about why such similarities exist. (DDR)

Descriptors: Context Effect, Course Content, Educational Environment, Higher Education

Peer reviewed

Hazzan, Orit – For the Learning of Mathematics, 1996

Focuses on the understanding of the concept of function and presents discussions of the topological properties of functions and of students' mathematical thinking when they are asked to determine whether a property of a function is a topological property or not. Contains 15 references. (DDR)

Descriptors: Communicative Competence (Languages), Concept Formation, Constructivism (Learning), Discourse Analysis