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Rosa, Mauricio; Lerman, Stephen – Educational Studies in Mathematics, 2011

This paper is drawn from a doctoral thesis (Rosa, 2008) that examines the relations established between the construction of online identities and the teaching and learning of the definite integral concept in an online learning course. The role-playing game (RPG) is played out through chat and calls for the creation of characters (online…

Descriptors: Electronic Learning, Mathematics Education, Mathematical Concepts, Role Playing

Peer reviewed

Steinbring, Heinz – Educational Studies in Mathematics, 1991

An attempt is made to elaborate on the connections and differences between the objective and subjective elements of mathematical knowledge using case study analysis relative to how an epistemological perspective about probability and randomness impacts upon a short classroom teaching episode. (19 references) (Author/JJK)

Descriptors: Aptitude Treatment Interaction, Case Studies, Classroom Environment, Classroom Techniques

Peer reviewed

Hoyles, Celia – Educational Studies in Mathematics, 1985

Implications of using pupil-to-pupil discussion with mathematics classrooms are discussed, with different ways in which such discussion might promote mathematical understanding. A framework for instruction includes the learning of the computer language Logo. (MNS)

Descriptors: Computer Oriented Programs, Discussion, Educational Research, Elementary Secondary Education

Peer reviewed

Fischbein, Efraim; And Others – Educational Studies in Mathematics, 1991

To investigate the origins and nature of intuitive obstacles affecting the learning of elementary probability theory, 618 Italian elementary and middle school students were interviewed about their methods of solution for several problems dealing with probability. The discussion focuses on four varieties of obstacles to learning prevalent within…

Descriptors: Cognitive Structures, Cognitive Style, Comprehension, Concept Formation

Peer reviewed

Gagatsis, A.; Patronis, T. – Educational Studies in Mathematics, 1990

Describes the stages of a process of reflective thinking. Investigates how geometrical models can be used in learning and teaching mathematics in connection with the process. Identifies two models for children of age four to eight: constant path in the space of shapes and continuous path of varied polygonal shapes. (Author/YP)

Descriptors: Early Childhood Education, Fundamental Concepts, Geometric Concepts, Geometric Constructions

Peer reviewed

Sfard, Anna – Educational Studies in Mathematics, 1991

This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…

Descriptors: Algorithms, Cognitive Development, Cognitive Structures, Concept Formation

Peer reviewed

D'Ambrosio, Beatriz S.; Campos, Tania Maria Mendonca – Educational Studies in Mathematics, 1992

Reports a study to investigate the extent to which research experience of designing and conducting their own study could enhance five preservice teachers' understanding of children's knowledge of the mathematical concept of fractions. Results indicated that research experience is fruitful in developing an inquisitive disposition in preservice…

Descriptors: Cognitive Restructuring, Cognitive Structures, Elementary Education, Experiential Learning

Peer reviewed

Hunting, Robert P. – Educational Studies in Mathematics, 1986

The behavior of one child as she constructed knowledge about fractions over a nine-month period is presented. The intent is to explain behavioral patterns for which certain mental processes, called schemes, seem responsible. (MNS)

Descriptors: Case Studies, Cognitive Processes, Educational Research, Elementary Education