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Stupel, Moshe; Pinto, Osnat; Jahangiri, Jay – International Journal for Technology in Mathematics Education, 2022
The complexity of the art of teaching and learning, especially in the field of mathematics, calls for a broader approach than the traditional status quote. Proof without words in geometry coupled with the dynamic and interactive GeoGebra applet have the capacity to be used in all levels of mathematics education from grade schools to higher…
Descriptors: Mathematics Education, Mathematical Logic, Geometry, Computer Software
Gordon, Sheldon P. – International Journal for Technology in Mathematics Education, 2020
The article uses dynamic visualizations in Excel to examine a variety of ways in which students can attain a much greater depth of understanding of optimization problems in introductory calculus. The topics discussed include a variety of common optimization problems that appear in virtually every calculus textbook that can all be enhanced…
Descriptors: Problem Solving, Mathematics Instruction, Teaching Methods, Calculus
Sümmermann, Moritz L. – International Journal for Technology in Mathematics Education, 2019
Ariadne is a touch-based program for the learning of homotopies of paths, without the use of formalism, by building mental models. Using Ariadne, the user can construct points, paths by dragging points and homotopies by dragging paths as well as compute winding numbers of paths, all on a variety of surfaces, through touch gestures. Ariadne…
Descriptors: Mathematics Instruction, Computer Software, Teaching Methods, Problem Solving
Herceg, Djordje; Radakovic, Davorka; Herceg, Dejana; Mandic, Vera Herceg – International Journal for Technology in Mathematics Education, 2019
Computer-aided visualization provides meaningful insight into geography teaching, which helps improve comprehension. With dynamic geometry software (DGS), a teacher can easily create interactive mathematical learning materials. To fully benefit from DGS applied to subjects other than mathematics, their functionality must be extended with features…
Descriptors: Geometry, Mathematics Instruction, Computer Assisted Instruction, Teaching Methods
Gandra, Ana Paula; Aires, Ana Paula; Catarino, Paula – International Journal for Technology in Mathematics Education, 2020
This paper reports a study developed with twenty-six students from a 7th-grade class and was carried in the context of teaching experience in the school year of 2016/2017, using an applet, Equation Buster, on the learning of solving single-variable linear equations. The research objectives are to assess how this applet can help students to see the…
Descriptors: Mathematics Instruction, Teaching Methods, Generalization, Grade 7
Gordon, Sheldon P.; Gordon, Florence S. – International Journal for Technology in Mathematics Education, 2018
This article illustrates ways that dynamic software using some sophisticated techniques in Excel can be used to demonstrate fundamental ideas related to regression and correlation analysis to increase student understanding of the concepts and methods in elementary statistics courses and in courses at the college algebra/precalculus level that…
Descriptors: Visualization, Regression (Statistics), Correlation, Computer Software
Kösa, Temel – International Journal for Technology in Mathematics Education, 2016
The main purpose of this study is to determine the effects of using dynamic mathematics software on pre-service mathematics teachers' ability to infer the shape of a cross section of a three-dimensional solid, as well as on their spatial visualization skills. The study employed a quasi-experimental design with a control group; the Purdue Spatial…
Descriptors: Computer Software, Mathematics, Preservice Teachers, Computer Uses in Education
Turgut, Melih; Uygan, Candas – International Journal for Technology in Mathematics Education, 2015
In this work, certain task designs to enhance middle school students' spatial visualisation ability, in the context of an instrumental approach, have been developed. 3D modelling software, SketchUp®, was used. In the design process, software tools were focused on and, thereafter, the aim was to interpret the instrumental genesis and spatial…
Descriptors: Middle School Students, Computer Software, Visualization, Spatial Ability
Soto-Johnson, Hortensia – International Journal for Technology in Mathematics Education, 2014
The Common Core State Standards Initiative stresses the importance of developing a geometric and algebraic understanding of complex numbers in their different forms (i.e., Cartesian, polar and exponential). Unfortunately, most high school textbooks do not offer such explanations much less exercises that encourage students to bridge geometric and…
Descriptors: Arithmetic, Mathematics Instruction, High School Students, Secondary School Mathematics
Gerhauser, Michael; Valentin, Bianca; Wassermann, Alfred – International Journal for Technology in Mathematics Education, 2010
Since Java applets seem to be on the retreat in web application, other approaches for displaying interactive mathematics in the web browser are needed. One such alternative could be our open-source project JSXGraph. It is a cross-browser library for displaying interactive geometry, function plotting, graphs, and data visualization in a web…
Descriptors: Internet, Geometry, Mathematics Instruction, Mathematics Education
Herceg, Dorde; Herceg, Dragoslav – International Journal for Technology in Mathematics Education, 2010
The concept of definite integral is almost always introduced as the Riemann integral, which is defined in terms of the Riemann sum, and its geometric interpretation. This definition is hard to understand for high school students. With the aid of mathematical software for visualisation and computation of approximate integrals, the notion of…
Descriptors: Computer Software, Computers, Geometric Concepts, Calculus
Dana-Picard, Thierry; Kidron, Ivy; Zeitoun, David – International Journal for Technology in Mathematics Education, 2008
The study of a real function of two real variables can be supported by visualisation using a Computer Algebra System (CAS). One type of constraint of the system is due to the algorithms implemented, yielding continuous approximations of the given function by interpolation. This often masks discontinuities of the given function and can provide very…
Descriptors: Algebra, Mathematics Instruction, Calculus, Mathematics
Christou, Constantinos; Pittalis, Marios; Mousoulides, Nicholas; Jones, Keith – International Journal for Technology in Mathematics Education, 2006
Designing successful learning environments entails drawing on theoretical perspectives on learning while, at the same time, being cognisant of the affordances and constraints of the technology. This paper reports on the development of a software environment called "3DMath", a dynamic three-dimensional geometry microworld aimed at enabling learners…
Descriptors: Mathematics Education, Computer Software, Educational Technology, Geometry