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Gero, Aharon; Levin, Ilya – International Journal of Mathematical Education in Science and Technology, 2019
The invention of the computer has led to the establishment of a new research paradigm, computation, which has recently become more and more popular in scientific exploration. However, computation is not well represented in high school and university curricula in science and engineering, although it applies to a wide range of disciplines beyond…
Descriptors: Computation, Thinking Skills, Problem Solving, Mathematics Skills
Ponce Campuzano, Juan Carlos; Matthews, Kelly E.; Adams, Peter – International Journal of Mathematical Education in Science and Technology, 2018
In this paper, we report on an experimental activity for discussing the concepts of speed, instantaneous speed and acceleration, generally introduced in first year university courses of calculus or physics. Rather than developing the ideas of calculus and using them to explain these basic concepts for the study of motion, we led 82 first year…
Descriptors: Mathematics, History, College Freshmen, College Science
Schwartz, Mark – College Mathematics Journal, 2011
The refraction problem, well-known in calculus and physics, continues to reveal new insights. This paper presents a geometric solution in which the trammel of Archimedes plays the prominent role. When properly configured, the trammel generates an ellipse and its family of normal lines. One normal line in particular intersects the boundary…
Descriptors: Animation, Computer Graphics, Geometric Concepts, Geometry
Pennings, Timothy J.; Williams, Blair R. – PRIMUS, 2010
This article is a project that takes students through the process of forming a mathematical model of bicycle dynamics. Beginning with basic ideas from Newtonian mechanics (forces and torques), students use techniques from calculus and differential equations to develop the equations of rotational motion for a bicycle-rider system as it tips from…
Descriptors: Mathematical Models, Equations (Mathematics), Calculus, Student Projects
Oldknow, Adrian; Huyton, Pip; Galloway, Ian – School Science Review, 2010
Most students now have access to devices such as digital cameras and mobile phones that are capable of taking short video clips outdoors. Such clips can be used with powerful ICT tools, such as Tracker, Excel and TI-Nspire, to extract time and coordinate data about a moving object, to produce scattergrams and to fit models. In this article we…
Descriptors: Physics, Video Technology, Data Collection, Motion
Sokolowski, Andrzej; Rackley, Robin – Australian Senior Mathematics Journal, 2011
In this article, the authors present a lesson whose goal is to utilise a scientific environment to immerse a trigonometry student in the process of mathematical modelling. The scientific environment utilised during this activity is a physics simulation called "Wave on a String" created by the PhET Interactive Simulations Project at…
Descriptors: Mathematics Curriculum, Mathematical Models, Physics, Trigonometry
Carrejo, David; Robertson, William H. – Online Submission, 2011
Computer-based mathematical modeling in physics is a process of constructing models of concepts and the relationships between them in the scientific characteristics of work. In this manner, computer-based modeling integrates the interactions of natural phenomenon through the use of models, which provide structure for theories and a base for…
Descriptors: Constructivism (Learning), Mathematical Models, Physics, Science Teachers
Bauer, Craig – PRIMUS, 2010
A detailed description is provided of a 200-level 3-credit course introducing ways in which mathematics may be explored with the use of a computer. This may serve as a template for such courses or be taken piecemeal for use in other classes. The original course was aimed at mathematics and mathematics education majors. (Contains 2 tables, 21…
Descriptors: Mathematics Education, Computer Uses in Education, Educational Technology, Teacher Education
Pavlekovic, Margita, Ed.; Kolar-Begovic, Zdenka, Ed.; Kolar-Super, Ruzica, Ed. – Online Submission, 2013
The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways…
Descriptors: Operations Research, Geometric Concepts, Foreign Countries, Mathematics Instruction

Sharma, A.; And Others – Physics Education, 1996
Describes a simple experiment that uses a CCD video camera, a display monitor, and a laser-printed bar pattern to illustrate signal sampling problems that produce aliasing or moiri fringes in images. Uses the Fourier transform to provide an appropriate and elegant means to explain the sampling theorem and the aliasing phenomenon in CCD-based…
Descriptors: Calculus, Computer Uses in Education, Engineering, Functions (Mathematics)

Kalkanis, G.; Sarris, M. M. – Journal of Computers in Mathematics and Science Teaching, 1999
Describes an educational software program for the study of and detection methods for the cosmic ray muons passing through several light transparent materials (i.e., water, air, etc.). Simulates muons and Cherenkov photons' paths and interactions and visualizes/animates them on the computer screen using Monte Carlo methods/techniques which employ…
Descriptors: Computer Software, Computer Uses in Education, Educational Technology, Higher Education
Gilbert-Macmillan, Kathleen – Understanding Our Gifted, 2000
This article discusses the Education Program for Gifted Youth (EPGY) at Stanford University, which delivers computer-based multimedia distance learning opportunities to accelerate gifted students in grades K-12 in the areas of mathematics, physics, computer programming, and expository writing. The program also offers computer-based distance…
Descriptors: Acceleration (Education), Access to Education, Computer Assisted Instruction, Computer Uses in Education
Rochowicz, John A. – 1998
College courses that are taught without any technology are part of the past. With software that can do almost any mathematics including calculus, traditional teaching, with the instructor as all-knowing, is obsolete. In this paper, a comparison is made between business mathematics courses and general physics courses taught at a small private…
Descriptors: Business Education, Computer Software, Computer Uses in Education, Educational Technology

Schlenker, Richard M.; And Others – Science Activities, 1993
Uses computers to help students identify variables controlling pendulum period. A program written in BASIC for the Apple computer is provided. The activities are useful for developing science skills, mathematics skills, and computer skills. (PR)
Descriptors: Computer Assisted Instruction, Computer Uses in Education, High Schools, Learning Activities

Lough, Tom; Tipps, Steve – Journal of Computers in Mathematics and Science Teaching, 1989
Offers several LOGO programs to study the behavior of simple nonlinear systems. Suggests that LOGO is an excellent tool for studying chaotic systems. Offers suggestions for different forms of LOGO. Builds upon programs presented in a previous article. (MVL)
Descriptors: Chaos Theory, College Mathematics, Computer Graphics, Computer Simulation
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