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Yan, Xiaoheng; Zazkis, Rina – International Journal of Mathematical Education in Science and Technology, 2022
Windmill images and shapes have a long history in geometry and can be found in problems in different mathematical contexts. In this paper, we share and discuss various problems involving windmill shapes and solutions from geometry, algebra, to elementary number theory. These problems can be used, separately or together, for students to explore…
Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Algebra
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Jorge Gaona; Silvia Soledad López; Elizabeth Montoya-Delgadillo – International Journal of Mathematical Education in Science and Technology, 2024
In this paper we studied the personal mathematical work of 14 students in initial teacher training, in their first year of studies at a public university in Chile, based on two tasks on complex numbers. These tasks were set in a Computer Aided Assessment System (CAA) based on Moodle and Wiris and it was proposed to solve them using different…
Descriptors: Preservice Teacher Education, Preservice Teachers, Numbers, Educational Technology
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Abramovich, S. – International Journal of Mathematical Education in Science and Technology, 2014
The availability of sophisticated computer programs such as "Wolfram Alpha" has made many problems found in the secondary mathematics curriculum somewhat obsolete for they can be easily solved by the software. Against this background, an interplay between the power of a modern tool of technology and educational constraints it presents is…
Descriptors: Problem Solving, Mathematics Instruction, Educational Technology, Teaching Methods
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Abramovich, Sergei; Leonov, Gennady A. – International Journal of Mathematical Education in Science and Technology, 2008
This article demonstrates how within an educational context, supported by the notion of hidden mathematics curriculum and enhanced by the use of technology, new mathematical knowledge can be discovered. More specifically, proceeding from the well-known representation of Fibonacci numbers through a second-order difference equation, this article…
Descriptors: Mathematics Curriculum, Numbers, Educational Technology, Calculus
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Pitcher, Neil – International Journal of Mathematical Education in Science and Technology, 1998
Examines issues relevant to the development, implementation, and evaluation of educational software in mathematics in the particular context of a Mathwise module covering the topic of complex numbers. Presents results of an evaluation exercise and some conclusions on issues of design and implementation. Contains 13 references. (ASK)
Descriptors: Computer Software, Computer Uses in Education, Educational Technology, Mathematics Instruction
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Blest, David C.; Jamil, Tariq – International Journal of Mathematical Education in Science and Technology, 2003
Computer operations involving complex numbers, essential in such applications as Fourier transforms or image processing, are normally performed in a "divide-and-conquer" approach dealing separately with real and imaginary parts. A number of proposals have treated complex numbers as a single unit but all have foundered on the problem of the…
Descriptors: Arithmetic, Numbers, Computation, Computer Uses in Education