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Tsamir, Pessia; Tirosh, Dina; Dreyfus, Tommy; Barkai, Ruthi; Tabach, Michal – Journal of Mathematical Behavior, 2009

Calls for reform in mathematics education around the world state that proofs should be part of school mathematics at all levels. Turning these calls into a reality falls on teachers' shoulders. This paper focuses on one secondary school teacher's reactions to students' suggested proofs and justifications in elementary number theory. To determine…

Descriptors: Mathematics Education, Number Concepts, Secondary School Teachers, Mathematical Logic

Peer reviewed

Dreyfus, Tommy; Eisenberg, Theodore – For the Learning of Mathematics, 1986

Appreciating the power and beauty of mathematical thought should be an integral component of a student's mathematical education. The meaning of aesthetics in the realm of mathematical reasoning, the relationship of aesthetics to problem solving, the results of two studies, and recommendations for developing aesthetics are included. (MNS)

Descriptors: College Mathematics, Educational Research, Higher Education, Mathematics Instruction

Tsamir, Pessia; Rasslan, Shaker; Dreyfus, Tommy – Journal of Mathematical Behavior, 2006

This paper illustrates the role of a "Thinking-about-Derivatives" task in identifying learners' derivative conceptions and for promoting their critical thinking about derivatives of absolute value functions. The task included three parts: "Define" the derivative of a function f(x) at x = x[subscript 0], "Solve-if-Possible" the derivative of f(x) =…

Descriptors: Critical Thinking, Mathematical Logic, Thinking Skills, Mathematics Instruction

Peer reviewed

Vinner, Shlomo; Dreyfus, Tommy – Journal for Research in Mathematics Education, 1989

Examines aspects of the images and definitions that college students and junior high school teachers have for the concept of function. Provides a seven-item questionnaire. Describes and categorizes the various images and definitions of the concept. (YP)

Descriptors: College Mathematics, Foreign Countries, Functions (Mathematics), Fundamental Concepts

Peer reviewed

Dreyfus, Tommy; Halevi, Tirza – Journal of Computers in Mathematics and Science Teaching, 1991

Discussed is the classroom suitability of an open learning computer microworld centered around families of quadratic equations that provides a framework for exploring questions about parabolas to establish the link between the graphical and the algebraic representations of quadratic equations. (JJK)

Descriptors: Algebra, Classroom Techniques, Computer Assisted Instruction, Discovery Learning