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Brody, Jed – Physics Teacher, 2021
Bell's theorem is a topic of perennial fascination. Publishers and the general public have a steady appetite for approachable books about its implications. The scholarly literature includes many analogies to Bell's theorem and simple derivations of Bell inequalities, and some of these simplified discussions are the basis of interactive web pages.…
Descriptors: Calculus, Computation, Validity, Mathematical Logic
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Trout, K. P.; Trout, William P.; Le, Huy – Technology and Engineering Teacher, 2021
Kites have a long and varied history that stretches back millennia. One of the most popular kite models of all time is the one made famous in the late nineteenth century by William Abner Eddy named the "Eddy Kite." It is the prototypical kite shape (Eden, 2002)--a quadrilateral that is symmetric about a vertical axis and asymmetric about…
Descriptors: Toys, Calculus, Technology Uses in Education, STEM Education
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Campillay-Llanos, William; Guevara, Felipe; Pinto, Manuel; Torres, Ricardo – International Journal of Mathematical Education in Science and Technology, 2021
We present a type of arithmetic called Proportional Arithmetic. The main properties and objects that emerge with this way of operating quantities are exposed. Finally, the antiderivative and the indefinite integral are defined in order to calculate the primitive of [equation omitted] in the Proportional context.
Descriptors: Calculus, Problem Solving, Equations (Mathematics), Algebra
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López-Reyes, Luis Javier – World Journal on Educational Technology: Current Issues, 2022
This paper presents a didactic proposal designed through the active methodology of collaborative learning to analyse the effect of the use of numerical simulation of a mathematical model on the learning of differential equations in engineering students. A mathematical model of a vibrating string was used, and the Octave Online platform was used…
Descriptors: Cooperative Learning, Calculus, Engineering Education, Mathematical Models
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Ellis, Brittney; Larsen, Sean; Voigt, Matthew; Vroom, Kristen – International Journal of Research in Undergraduate Mathematics Education, 2021
Calls to increase the number of STEM graduates on a global scale have created pressure on universities to graduate higher numbers of quality engineers. In response, many engineering and mathematics departments have begun to develop variations of calculus courses specifically for engineering majors. Using a mixed methods research design, we…
Descriptors: Calculus, Engineering Education, Educational Change, Majors (Students)
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Olsher, Shai; Cooper, Jason – International Journal of Science and Mathematics Education, 2021
With the growing availability of technology, teachers are becoming significant co-designers of the curriculum--resequencing, editing or supplementing a primary textbook with publicly available digital learning objects. This places a grave responsibility on teachers, who must have a clear view of the rationale and didactic intentions of the…
Descriptors: Textbooks, Metadata, Coding, Calculus
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Ozaltun-Celik, Aytug – LUMAT: International Journal on Math, Science and Technology Education, 2021
The concept of derivative is used in many areas including applied problems and requiring mathematical modelling in different disciplines. One of the most important approaches for teaching the derivative is to support students in visualizing the concept. Also, it is necessary to shift researchers and teachers' focuses to students' dynamic mental…
Descriptors: Calculus, Mathematical Concepts, Logical Thinking, Graphs
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Frodyma, Marc – Journal of Chemical Education, 2020
Physical chemistry students often lack conceptual understanding of the measurable quantities derivatives and integrals represent in particular problems. Also, two-parameter equations of state exhibit horizontal inflections at the critical point in the "PV" isotherms, and students must employ the mathematical properties of inflections to…
Descriptors: Chemistry, Calculus, Measurement, Equations (Mathematics)
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Azevedo, Douglas – International Journal of Mathematical Education in Science and Technology, 2021
In this paper we discuss the important Abel's summation formula, which is a very powerful tool for analysing series of real or complex numbers. We derive from it an integral test which may be useful in cases where the classical integral test may not be applied. We also discuss how this new integral test may be used when one is dealing with…
Descriptors: Mathematics Instruction, Teaching Methods, Numbers, Mathematical Formulas
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Hausberger, Thomas; Derouet, Charlotte; Hochmuth, Reinhard; Planchon, Gaetan – International Journal of Research in Undergraduate Mathematics Education, 2021
This paper investigates the phenomenon of compartmentalisation of knowledge in the teaching and learning of continuous probability distributions and integral calculus at the secondary-tertiary transition in France. Using the Anthropological Theory of the Didactic (ATD), and in particular the key notion of praxeology, we investigate in which sense…
Descriptors: Mathematics Instruction, Probability, Calculus, Secondary School Mathematics
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González-Martín, Alejandro S. – International Journal of Research in Undergraduate Mathematics Education, 2021
Calculus is a required course in most engineering programmes and is intended to provide students with tools they will use throughout the rest of their training. However, research seems to indicate that calculus is not very prevalent in the engineering workplace or in university engineering courses. To shed some light on how calculus is actually…
Descriptors: Engineering Education, Mathematics Education, Calculus, Workplace Learning
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Kögce, Davut – Educational Policy Analysis and Strategic Research, 2022
This study was conducted to identify mathematical errors and mistakes made by preservice elementary mathematics teachers in the calculus course. To that end, the document analysis method of qualitative research models was used in the research. The sample of the research included a total of 75 preservice teachers who were attending the Department…
Descriptors: Calculus, Preservice Teachers, Preservice Teacher Education, Mathematics Teachers
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Freitag, Mark A. – International Journal of Research in Undergraduate Mathematics Education, 2020
Note-taking is one of the most pervasive activities of students in college courses, so it has been the subject of educational research for quite some time. Yet despite the large body research, little is known about the characteristics of note-taking in mathematics. For this reason, this exploratory study examined the note-taking habits of seven…
Descriptors: Notetaking, College Students, College Mathematics, Calculus
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Harel, Guershon – ZDM: Mathematics Education, 2021
The paper presents analyses of multivariable calculus learning-teaching phenomena through the lenses of DNR-based instruction, focusing on several foundational calculus concepts, including "cross product," "linearization," "total derivative," "Chain Rule," and "implicit differentiation." The…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Mathematical Concepts
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Ely, Robert – ZDM: Mathematics Education, 2021
Several new approaches to calculus in the U.S. have been studied recently that are grounded in infinitesimals or differentials rather than limits. These approaches seek to restore to differential notation the direct referential power it had during the first century after calculus was developed. In these approaches, a differential equation like dy…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Mathematical Concepts
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