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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

Villarreal, Monica – For the Learning of Mathematics, 2000

Presents a study to describe and understand the thinking processes of students in a computer environment while undertaking mathematical tasks related to the differentiation of functions defined on real numbers. Describes two different approaches, the visual and the algebraic approach, in the thinking processes of calculus students. (Contains 19…

Descriptors: Calculus, Cognitive Processes, Computer Uses in Education, Differential Equations

Peer reviewed

Bissell, Chris; Dillon, Chris – For the Learning of Mathematics, 2000

Explores some of the issues behind mathematical modeling for technology with reference to undergraduate teaching and professional practice. Discusses theory and practice in mathematical modeling and its place and uses of modeling in engineering. (ASK)

Descriptors: Engineering Education, Higher Education, Mathematical Models, Mathematics Education

Peer reviewed

Zazkis, Rina – For the Learning of Mathematics, 2000

Reflects on four years of teaching a course called Principle of Major Teachers for pre-service elementary school teachers. Identifies and describes the discord between their formal mathematical knowledge and their informal language used in the context of elementary number theory. Presents encouraging results from a code-switching experiment.…

Descriptors: Elementary Education, Higher Education, Informal Education, Language

Peer reviewed

Nardi, Elena – For the Learning of Mathematics, 2000

Examines how components of the concept of function (variable, domain, and range) and the process-object duality in its nature emerge as highly relevant to student learning in various mathematical contexts related to linear and abstract algebra. (Contains 22 references.) (ASK)

Descriptors: Algebra, Calculus, College Students, Functions (Mathematics)

Peer reviewed

Lajoie, Caroline; Mura, Roberta – For the Learning of Mathematics, 2000

Interviews students majoring in mathematics who had passed a required introductory course on algebraic structures on students' difficulties with basic concepts in group theory as part of a research project. Reports data concerning cyclic groups. (ASK)

Descriptors: Algebra, Cognitive Processes, College Mathematics, Higher Education

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