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Peer reviewed

Uhlig, Frank – Educational Studies in Mathematics, 2002

Describes how elementary linear algebra can be taught successfully while introducing students to the concept and practice of mathematical proof. Suggests exploring the concept of solvability of linear systems first via the row echelon form (REF). (Author/KHR)

Descriptors: Algebra, Concept Formation, Heuristics, Higher Education

Peer reviewed

Van Schalkwijk, Louis; Bergen, Theo; Van Rooij, Arnoud – Educational Studies in Mathematics, 2000

Reports on the development of a mathematics course in fractals and dynamic processes for volunteer students in the second phase of secondary education in the Netherlands. Presents findings on the correct way for teachers to coach students in investigations. (Author/MM)

Descriptors: Course Descriptions, Foreign Countries, Fractals, Investigations

Peer reviewed

Anderson, Johnston – Educational Studies in Mathematics, 1979

An account is given of the introduction of multiple-choice and other forms of objective testing into the assessment of a first-year university elementary analysis class. (MP)

Descriptors: Achievement, Calculus, College Mathematics, Evaluation Methods

Peer reviewed

Levin, James A. – Educational Studies in Mathematics, 1981

A range of estimation techniques are described, and a series of mental computation procedures based on concepts of measurement and real numbers are presented in detail. (MP)

Descriptors: Arithmetic, Computation, Educational Change, Elementary Education

Peer reviewed

Pirie, Susan E. B.; Martin, Lyndon – Educational Studies in Mathematics, 1997

Presents the results of a case study which looked at the mathematics classroom of one teacher trying to teach mathematics with meaning to pupils or lower ability at the secondary level. Contrasts methods of teaching linear equations to a variety of ability levels and uses the Pirie-Kieren model to account for the successful growth in understanding…

Descriptors: Ability Grouping, Cognitive Ability, Demonstration Programs, Equations (Mathematics)

Peer reviewed

Leron, Uri; Hazzan, Orit – Educational Studies in Mathematics, 1997

Analyzes students' productions, taking affective and social factors into account. Uses the technique of virtual monologue to reproduce the student's voice in order to describe as vividly as possible what might be going on in the student's mind during such situations. (AIM)

Descriptors: Case Studies, Mathematical Aptitude, Mathematical Concepts, Mathematics Achievement

Peer reviewed

Jones, Graham A.; And Others – Educational Studies in Mathematics, 1997

Presents a framework for assessing probabilistic thinking based on validated data obtained from eight third grade children who served as case studies. Major constructs were sample space, probability of an event, probability comparisons, and conditional probability. Levels of thinking appear to agree with the levels of cognitive functioning…

Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Evaluation

Peer reviewed

Schmidt, Sylvine; Bednarz, Nadine – Educational Studies in Mathematics, 1997

Discusses the difficulties observed in the transition from teaching arithmetic to teaching algebra. Future teachers (n=164) were questioned regarding to what extent they were able to shift back and forth between teaching methods within the context of problem solving. Interviews were conducted individually and in a dyad format. (AIM)

Descriptors: Algebra, Arithmetic, Mathematics Instruction, Mathematics Teachers

Peer reviewed

Batanero, Carmen; And Others – Educational Studies in Mathematics, 1997

Elementary combinatorial problems may be classified into three different combinatorial models: (1) selection; (2) partition; and (3) distribution. The main goal of this research was to determine the effect of the implicit combinatorial model on pupils' combinatorial reasoning before and after instruction. Gives an analysis of variance of the…

Descriptors: Learning Processes, Mathematical Applications, Mathematical Concepts, Mathematical Logic

Peer reviewed

Freudenthal, Hans – Educational Studies in Mathematics, 1993

Based on the premise that body experiences interfere inconveniently with scientific ideas in mechanics instruction. Suggests that learning processes start with body experiences and, with guidance, transform them into something scientific. Discusses this process for the static and kinetic aspects of force and for measurement. (MDH)

Descriptors: Cognitive Development, Concept Formation, Epistemology, Force

Peer reviewed

Shillor, Irith; Egan, Bridget – Educational Studies in Mathematics, 1993

The paper describes the details and use with primary school teachers of a problem-solving activity known as the King Alfred's College Maths Game. The game demonstrates to teachers that problem solving needs to be approached through structured learning experiences that provide material for reflection and questioning. (Author/MDH)

Descriptors: Educational Games, Elementary Education, Elementary School Teachers, Heuristics

Peer reviewed

Gerdes, Paulus – Educational Studies in Mathematics, 1988

Both industrialized and Third World countries see the need to "multi-culturalize" their mathematics curricula. Following a brief description of the drawing tradition of the Tchokwe people (Angola), some possible uses of their pictograms in the mathematics classroom are suggested. Examples given in this paper include the study of arithmetical…

Descriptors: Cultural Awareness, Developing Nations, Foreign Countries, Geometric Concepts

Peer reviewed

Rabijewska, Barbara; Trad, Mieczyslaw – Educational Studies in Mathematics, 1985

The idea of mathematical camps for bright pupils is discussed. Some activities in such a camp include meetings with scientists, mathematical evenings, brain-teachers, semi-seminars, brainstorming, guiding texts, Olympian club, consultations, adventures, marches, and various games and competitions. These were evaluated by camp participants in…

Descriptors: Educational Games, Educational Research, Gifted, Learning Activities

Peer reviewed

Selter, Christoph – Educational Studies in Mathematics, 1998

Describes a teaching experiment in grade three based on (Adrian) Treffers' idea of vertical mathematization. Discusses the central components of the developed course. The teaching experiment is illustrated by means of children's own productions and put into broader context as contributing to the design science approach of mathematics education.…

Descriptors: Course Content, Course Descriptions, Foreign Countries, Grade 3

Peer reviewed

Chapman, Olive – Educational Studies in Mathematics, 1997

Reports on a study that focused on three teachers and their ways of teaching problem solving. Findings indicate that the participants unconsciously constructed personal metaphors that became the basis of their conceptualization of problems. "Community", "adventure" and "game" were the key metaphors. The outcome…

Descriptors: Creative Thinking, Mathematical Applications, Mathematics Instruction, Mathematics Teachers

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