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Showing 1 to 15 of 462 results Save | Export
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Jonathan Troup; Hortensia Soto; Aubrey Kemp – International Journal of Research in Undergraduate Mathematics Education, 2024
This study investigates the embodied, symbolic, and formal reasoning of two fourth-year university students while exploring geometric reasoning about the Cauchy-Riemann equations with the aid of "Geometer's Sketchpad (GSP)." These students participated in a teaching activity designed to encourage shifts between embodied, symbolic, and…
Descriptors: Mathematics Skills, Thinking Skills, Skill Development, Geometry
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Joseph M. Furner – Pedagogical Research, 2024
Today math teachers can best reach their students and show them how math surrounds us by using manipulatives, children's literature, and GeoGebra while teaching mathematics. These are some of the best pedagogical practices for teaching mathematics today. In our high-tech world, students need to be proficient in science, technology, engineering,…
Descriptors: Teaching Methods, Mathematics Instruction, Manipulative Materials, Childrens Literature
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Victor Oxman; Moshe Stupel – International Journal of Mathematical Education in Science and Technology, 2024
We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…
Descriptors: Mathematics Instruction, Geometry, Problem Solving, Preservice Teachers
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Contreras, José N. – Mathematics Teacher: Learning and Teaching PK-12, 2022
Sequences are an important topic--not only in mathematics but also in the mathematics curriculum. Exploring sequences related to medial triangles offers learners opportunities to solve problems involving sequences within geometric contexts. Sequences related to medial triangles are also a rich source of beautiful and interesting geometric patterns…
Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Geometric Concepts
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Tim Erickson – Australian Mathematics Education Journal, 2023
This is the first of four columns by Tim Erikson which introduces us to the Common Online Data Analysis Platform (CODAP). CODAP is a free, web-based software tool that your students can use for many types of tasks. This first column shows how CODAP can be used for mathematical modelling and where it might fit with the "Australian Curriculum:…
Descriptors: Mathematics Instruction, Teaching Methods, Computer Software, Data Analysis
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Joseph M. Furner – Quarterly Review of Distance Education, 2024
Employing best practices for teaching mathematics like math manipulatives, children's literature picture books, and GeoGebra can all be connected and better help to prepare students for a STEM world to develop confident young individuals in doing mathematics in a world of AI, distance learning, and online with emerging technologies. This paper…
Descriptors: Mathematics Instruction, Manipulative Materials, Picture Books, Computer Software
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Xiaoheng Yan; Gila Hanna – International Journal of Mathematical Education in Science and Technology, 2025
As new technological developments continue to change the educational landscape, it is not an exception in the area of proof and proving. This classroom note introduces the use of one of the trending proofs assistants -- the Lean theorem prover. We first provide a technical account of Lean, then exemplify Lean proofs in propositional logic, number…
Descriptors: Mathematics Instruction, Undergraduate Students, Mathematical Logic, Validity
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Armstrong, Addie; McQuillan, Dan – Mathematics Teacher: Learning and Teaching PK-12, 2020
Valid proofs need not be in the traditional two-column format. This classroom activity allows students to explore, discuss, and use specialized facts to create a general statement of truth.
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Mathematics Activities
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Atkin, Keith – Physics Education, 2020
In this paper it is demonstrated how the free, and easily downloadable, software package called SMath Studio can be used to set up a model of alpha-particle scattering. The basic physics of the motion of an alpha-particle in the nuclear coulomb field is used to produce a simple stepwise computer algorithm which, in conjunction with a novel set of…
Descriptors: Computer Software, Physics, Science Instruction, Mathematics Instruction
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Kathryn Early; Amiee Sanders; W. Gary Martin – Mathematics Teacher: Learning and Teaching PK-12, 2025
Vectors have important applications both within and outside mathematics, but the concept of vectors is often taught to students in a less-than-engaging way, leading to students feeling inadequate and frustrated. This article describes the use of a mathematical microworld, "Driving with Vectors," to explore vectors using equitable…
Descriptors: Mathematics Instruction, Teaching Methods, Geometric Concepts, Algebra
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Caglayan, Gunhan – International Journal of Mathematical Education in Science and Technology, 2016
The purpose of this article is to offer teaching ideas in the treatment of the definite integral concept and the Riemann sums in a technology-supported environment. Specifically, the article offers teaching ideas and activities for classroom for the numerical methods of approximating a definite integral via left- and right-hand Riemann sums, along…
Descriptors: Teaching Methods, Technology Integration, Mathematics, Mathematics Education
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Edwards, Thomas; Özgün-Koca, S. Asli; Chelst, Kenneth – Mathematics Teacher: Learning and Teaching PK-12, 2021
In this article, the authors share activities designed to help students make a connection between the complex roots of X[superscript 2] - 2x + 5 = 0 and the graph of y = X[superscript 2] - 2x + 5. We piloted these activities in three precalculus classes. The activities involved both concrete and technological representations of the mathematical…
Descriptors: Calculus, Mathematics Instruction, Graphs, Computer Software
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Prasad, Priya V. – Mathematics Teaching in the Middle School, 2016
How can we, as teachers, encourage students to move from drawing geometric objects to constructing them and thereby build their mathematical reasoning skills? One way to encourage students to construct instead of draw shapes and to help students develop more robust understandings of geometric relationships and constructions is to use interactive…
Descriptors: Middle School Students, Middle School Teachers, Mathematics, Mathematics Education
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Atkin, Keith – Physics Education, 2019
This paper shows how a freely downloadable and powerful software package, "SMath Studio," can be used to model physical systems in physics teaching. The software can form the basis of lecture demonstrations by teachers or can be used individually by students working in an educational environment or on their own home computers.
Descriptors: Physics, Science Instruction, Problem Solving, Scientific Concepts
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Nirode, Wayne – Mathematics Teacher, 2018
When the author first started teaching twenty years ago, he thought that as long as he was using dynamic geometry software (DGS) for students to "discover" conjectures instead of them learning the conjectures from a lecture or the textbook, he was maximizing their learning potential because they were using technology. Over the years, he…
Descriptors: Geometry, Computer Software, Computer Assisted Instruction, Mathematics Instruction
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