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Vorob'ev, Evgenii M. – International Journal of Mathematical Education in Science and Technology, 2023
This paper discusses the mathematical and didactical problems of teaching indefinite integral in the context of the ubiquitous availability of online integral calculators. The symbol of indefinite integral introduced by Leibniz, unfortunately, does not contain an indication of the interval on which the antiderivatives should be calculated. This…
Descriptors: Teaching Methods, Mathematics Instruction, Internet, Calculators
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Flores González, Macarena; Vandebrouck, Fabrice; Vivier, Laurent – International Journal of Mathematical Education in Science and Technology, 2022
Our work focuses on the transition from high school to university in the field of calculus. In France, recursive sequences are studied as one of the classical exercises in both institutions. Their studies use different theorems and notions, such as functions, convergence, monotonicity, induction, etc. The work expected at this transition requires…
Descriptors: Calculus, High School Students, Mathematics Instruction, Undergraduate Study
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Kovacs, Zoltan – International Journal of Mathematical Education in Science and Technology, 2011
Student activities focused on discovering mathematics play an important role in the teaching and learning process. WebMathematics Interactive (WMI2) was developed to offer a fast and user-friendly on-line web interface to enhance the quality of both theoretical and applied mathematics courses. For the teacher, in the classroom, it provides…
Descriptors: Mathematical Concepts, Mathematics Instruction, Teaching Methods, Algebra
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Forster, P. A. – International Journal of Mathematical Education in Science and Technology, 2007
Research on technology-use for teaching and learning statistics is sparse compared to that in algebra and calculus. This paper addresses the deficiency with regard to teaching and learning about "trend" in bivariate data. Available research findings are reviewed and an empirical inquiry in a year 12 (upper secondary) class is reported. Treatment…
Descriptors: Discussion (Teaching Technique), Models, Discussion, Calculus
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Zeng, J.; Osler, T. J. – International Journal of Mathematical Education in Science and Technology, 2005
In rare cases, the use of advanced mathematical calculators can give incorrect results. One such error occurs with graphing calculators because the screen is not continuous, but a rectangular array of pixels. On some frequently used calculators, the graph of sin80x looks like sin x. We also study other related examples.
Descriptors: Graphing Calculators
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Osler, Thomas J. – International Journal of Mathematical Education in Science and Technology, 2004
An intuitive derivation of Stirling's formula is presented, together with a modification that greatly improves its accuracy. The derivation is based on the closed form evaluation of the gamma function at an integer plus one-half. The modification is easily implemented on a hand-held calculator and often triples the number of significant digits…
Descriptors: Mathematics Instruction, Graphing Calculators, Mathematical Formulas, Intuition
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Srinivasan, V. K. – International Journal of Mathematical Education in Science and Technology, 2002
Procedural evaluations of limits of functions provide invariably better understanding of the limits than the approximations using a calculator. The purpose of this article is to demonstrate that better understanding can be promoted if mathematical understanding precedes the impulse to use calculators. The note clarifies the stages when the…
Descriptors: Calculators, Mathematics Instruction, Comprehension, Calculus
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Swingle, David A.; Pachnowski, Lynne M. – International Journal of Mathematical Education in Science and Technology, 2003
Discusses a real-world problem-solving lesson that emerged when a high school math teacher used a motion detector with a CBL and graphing calculator to obtain the bounce data of a ping-pong ball. Describes the lesson in which students collect bad data then fill in the missing parabolas that result using critical components of parabolas and…
Descriptors: Graphing Calculators, Mathematical Models, Mathematics Activities, Mathematics Instruction
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McCartney, Mark; Glass, David – International Journal of Mathematical Education in Science and Technology, 2002
The topic of random numbers is investigated in such a way as to illustrate links between mathematics, physics and computer science. First, the generation of random numbers by a classical computer using the linear congruential generator and logistic map is considered. It is noted that these procedures yield only pseudo-random numbers since…
Descriptors: Numbers, Computer Science, Mathematics Instruction, Physics
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Kasturiarachi, A. Bathi – International Journal of Mathematical Education in Science and Technology, 2002
Using Newton's method as an intermediate step, we introduce an iterative method that approximates numerically the solution of f(x) = 0. The method is essentially a leap-frog Newton's method. The order of convergence of the proposed method at a simple root is cubic and the computational efficiency in general is less, but close to that of Newton's…
Descriptors: Algebra, Graphing Calculators, Mathematics, Mathematics Education
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Forster, Patricia A.; Mueller, Ute – International Journal of Mathematical Education in Science and Technology, 2001
Describes an inquiry into students' uses of graphics calculators in the Tertiary Entrance Examination of Calculus in Western Australia for 1998. Discusses a comparative analysis of boys' and girls' performances. Indicates that the main areas of difficulty for students are interpreting graphing calculator outputs and knowing when use of graphing…
Descriptors: Calculus, Foreign Countries, Graphing Calculators, Higher Education
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Grassl, Richard M.; Mingus, Tabitha T. Y. – International Journal of Mathematical Education in Science and Technology, 2002
This article presents teaching ideas designed to support the belief that students at all levels (preservice teachers, majors, secondary and elementary students) need exposure to non-routine problems that illustrate the effective use of technology in their resolution. Such use provides students with rapid and accurate data collection, leading them…
Descriptors: Majors (Students), Student Surveys, Preservice Teachers, Mathematical Logic