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Lukáš Vízek; Libuše Samková; Jon R. Star – International Journal of Mathematical Education in Science and Technology, 2025
This contribution focuses on reasoning about quadrilaterals provided by lower secondary school students when working with pre-prepared dynamic constructions. On this topic, we present an exploratory empirical qualitative study carried out within a GeoGebra Classroom environment, and our diagnostic instrument consists of a set of dynamic…
Descriptors: Geometric Concepts, Secondary School Students, Foreign Countries, Logical Thinking
Ralph, Michael – International Journal of Mathematical Education in Science and Technology, 2021
Synthesis and diffusion of a pigment molecule can be simulated using deterministic equations in computer software. These lesson materials describe how tiger stripes emerge from manipulations in this code, and how students can engage in mathematical inquiry by exploring these reaction-diffusion equations.
Descriptors: Equations (Mathematics), Mathematical Models, Science Instruction, Mathematics Instruction
Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2021
The purpose of this note is to introduce two challenging problems in geometry that were inspired by some well-known problems in high school geometry. These problems can be explored in the dynamic geometry environments of computer construction programmes.
Descriptors: Mathematics Instruction, Geometry, Computer Uses in Education, Educational Technology
Stupel, Moshe; Weissman, Shula; Sigler, Avi – International Journal of Mathematical Education in Science and Technology, 2021
This paper presents research into closed orbits parallel to quadrilaterals inscribed in various geometric shapes that can be represented by mathematical functions: straight lines, circles, ellipses, parabolas, and hyperbolas. Mathematical proofs have been given for the existence of an infinite number of parallel orbits for each of these shapes.…
Descriptors: Geometric Concepts, Mathematical Logic, Computer Uses in Education, Computer Software
Caglayan, Günhan – International Journal of Mathematical Education in Science and Technology, 2018
This linear algebra note offers teaching and learning ideas in the treatment of the inner product space R[superscript m x n] in a technology-supported learning environment. Classroom activities proposed in this note demonstrate creative ways of integrating MATLAB technology into various properties of Frobenius inner product as visualization tools…
Descriptors: Algebra, Class Activities, Mathematics Instruction, Computer Uses in Education
Mohammad, Abdul Moeed – International Journal of Mathematical Education in Science and Technology, 2019
We explore students choice of using computer algebra systems (CAS) in problem-solving relative to their self-reported attitude towards learning mathematics with CAS. Our research design is a case study of nine Norwegian upper-secondary mathematics students with a wide range of attitude towards CAS. Our findings on routine problems indicate that…
Descriptors: Computer Uses in Education, Student Attitudes, Problem Solving, Decision Making
Parrish, Christopher W.; Martin, W. Gary – International Journal of Mathematical Education in Science and Technology, 2022
The purpose of this study was to determine if the MathTwitterBlogosphere (MTBoS), an online community of practice, provides opportunities for mathematics educators to learn about the knowledge and conceptions that support the effective use of cognitively demanding tasks, including mathematical knowledge for teaching, visions of high-quality…
Descriptors: Mathematics Teachers, Communities of Practice, Difficulty Level, Cognitive Processes
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
Zeynivandnezhad, Fereshteh; Bates, Rachel – International Journal of Mathematical Education in Science and Technology, 2018
The importance of developing students' mathematical thinking is frequently highlighted in literature regarding the teaching and learning of mathematics. Despite this importance, most curricula and instructional activities for undergraduate mathematics fail to bring the learner beyond the mathematics. The purpose of this study was to enhance…
Descriptors: Mathematics Instruction, Equations (Mathematics), Computer Uses in Education, Educational Technology
Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A. – International Journal of Mathematical Education in Science and Technology, 2017
In this paper, we discuss examples of assignments for a course in discrete mathematics for undergraduate students majoring in business informatics. We consider several problems with computer-based solutions and discuss general strategies for using computers in teaching mathematics and its applications. In order to evaluate the effectiveness of our…
Descriptors: Algebra, Mathematics Instruction, Undergraduate Students, Computer Uses in Education
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
Vorob'ev, Evgenii M. – International Journal of Mathematical Education in Science and Technology, 2015
Computer technologies and especially computer algebra systems (CAS) allow students to overcome some of the difficulties they encounter in the study of real numbers. The teaching of calculus can be considerably more effective with the use of CAS provided the didactics of the discipline makes it possible to reveal the full computational potential of…
Descriptors: Educational Technology, Computer Uses in Education, Algebra, Calculus
Sedaghatjou, Mina; Campbell, Stephen R. – International Journal of Mathematical Education in Science and Technology, 2017
This paper explores how a young child (56 m) builds an understanding of the cardinality principle through communicative, touchscreen-based activities involving talk, gesture and body engagement working via multimodal, touchscreen interface using contemporary mobile technology. Drawing upon Nemirovsky's perceptuomotor integration theoretical lens…
Descriptors: Manipulative Materials, Phenomenology, Preschool Children, Mathematics Instruction
Oxman, Victor; Stupel, Moshe; Segal, Ruti – International Journal of Mathematical Education in Science and Technology, 2017
An important and interesting area in the study of triangle geometry is the related issue of extrema problems and inequalities. These problems play a significant role in the mathematics study program in high school. In tasks such as these, the difficulty level is high when one does not know in advance what the expected answer is. When one knows…
Descriptors: Mathematics Instruction, Geometric Concepts, Teaching Methods, Secondary School Mathematics
Stupel, Moshe – International Journal of Mathematical Education in Science and Technology, 2013
There are at least five different equivalent definitions of the absolute value concept. In instances where the task is an equation or inequality with only one or two absolute value expressions, it is a worthy educational experience for learners to solve the task using each one of the definitions. On the other hand, if more than two absolute value…
Descriptors: Problem Solving, Mathematical Concepts, Geometry, Computer Software