Publication Date
In 2025 | 0 |
Since 2024 | 1 |
Since 2021 (last 5 years) | 8 |
Since 2016 (last 10 years) | 10 |
Since 2006 (last 20 years) | 23 |
Descriptor
Source
Author
Publication Type
Reports - Evaluative | 26 |
Journal Articles | 24 |
Books | 1 |
Speeches/Meeting Papers | 1 |
Education Level
High Schools | 6 |
Higher Education | 6 |
Secondary Education | 3 |
Grade 10 | 2 |
Grade 7 | 2 |
Grade 8 | 2 |
Postsecondary Education | 2 |
Elementary Education | 1 |
Elementary Secondary Education | 1 |
Grade 11 | 1 |
Grade 12 | 1 |
More ▼ |
Audience
Laws, Policies, & Programs
Assessments and Surveys
What Works Clearinghouse Rating
Moshe Stupel; Michael de Villiers – International Journal for Technology in Mathematics Education, 2023
An interesting geometric conservation problem is presented. Here proof is presented in a 'proof without words' style, with the aim of developing the reader's visual proof ability. The study of the task and its expansion is accompanied by a dynamic sketch to highlight the conservation property.
Descriptors: Geometry, Geometric Concepts, Mathematics Education, Mathematical Logic
Oxman, Victor – International Journal of Mathematical Education in Science and Technology, 2022
In the article, we prove 18 inequalities involving inradius, a length of one side and one additional element of a given triangle. 14 of these inequalities are the necessary and sufficient conditions for the existence and uniqueness of such a triangle. All proofs are based on standard methods of calculus and can serve as a good demonstration of the…
Descriptors: Geometric Concepts, Concept Formation, Validity, Mathematics Instruction
Laudano, Francesco – International Journal of Mathematical Education in Science and Technology, 2022
We introduce the concept of the "sequence of the ratios of convex quadrilaterals," identify some properties of these sequences and use them to provide new characterizations for some classic quadrilateral families. The research involves aspects of geometry, arithmetic and mathematical analysis, which converge to produce the results.
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Geometry
Németh, László – International Journal of Mathematical Education in Science and Technology, 2020
Several articles deal with tilings with squares and dominoes on 2-dimensional boards, but only a few on boards in 3-dimensional space. We examine a tiling problem with coloured cubes and bricks on a (2 × 2 × "n")-board in three dimensions. After a short introduction and the definition of breakability we show a way to get the number of…
Descriptors: Geometry, Mathematical Logic, Validity, Computation
de Villiers, Michael – International Journal of Mathematical Education in Science and Technology, 2021
It's often useful extending students beyond the limiting geometry of triangles and quadrilaterals to regularly consider generalizations of results for triangles and quadrilaterals to higher order polygons. A brief heuristic description is given here of the author applying this strategy, and which led to an interesting result related to the…
Descriptors: Heuristics, Mathematics Instruction, Geometry, Generalization
Marcelo Bairral; Gilles Aldon – REDIMAT - Journal of Research in Mathematics Education, 2024
Eye-tracking (ET) method provides a promising channel for educational researchers to connect learning outcomes to cognitive processes. The main principle of ET is that our gaze and our focus of attention are connected. Due to the advent of digital technologies, eye tracking studies are increasingly growing in different fields and in mathematics…
Descriptors: Geometry, Mathematics Instruction, Validity, Mathematical Logic
Marco, Nadav; Palatnik, Alik; Schwarz, Baruch B. – For the Learning of Mathematics, 2021
This paper highlights the pedagogical importance of gaps in mathematical proofs to foster students' learning of proofs. We use the notion of 'gap-filling' (Perry & Sternberg, 1986) from literary theory to analyze a task based on a Proof Without Words, which epitomizes the notion of gaps. We demonstrate how students fill in gaps in this…
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
González, Antonio; Gavilán-Izquierdo, José María; Gallego-Sánchez, Inés; Puertas, María Luz – Journal on Mathematics Education, 2022
The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of…
Descriptors: Graphs, Validity, Mathematics Instruction, Geometry
Brandl, Matthias; Vinerean, Mirela – Open Education Studies, 2023
In a Swedish second semester course on Euclidean and non-Euclidean geometry in mathematics education at Karlstad University, a bridging teaching strategy comprising elements from Mathematics, Didactics, History, Literature, and Technology was applied by using the concept of Narrative Didactics and Digital Interactive Mathematical Maps developed by…
Descriptors: Geometry, Mathematics Instruction, Undergraduate Students, Foreign Countries
Richard, Philippe R.; Oller Marcén, Antonio Miguel; Meavilla Seguí, Vicente – ZDM: The International Journal on Mathematics Education, 2016
Our article aims to show how illuminating mathematical work as a concept from didactics of mathematics is useful in understanding issues relating to proving and learning of proof, with or without technology. After posing our hypotheses on the relationship of proof with mathematical work, the pedagogical intent of historical elements of geometry…
Descriptors: Mathematical Concepts, Mathematical Logic, Validity, Mathematics
Rathouz, Margaret; Novak, Christopher; Clifford, John – Mathematics Teacher, 2013
Constructing formulas "from scratch" for calculating geometric measurements of shapes--for example, the area of a triangle--involves reasoning deductively and drawing connections between different methods (Usnick, Lamphere, and Bright 1992). Visual and manipulative models also play a role in helping students understand the underlying…
Descriptors: Mathematics Instruction, Mathematical Formulas, Geometry, Geometric Concepts
Bankov, Kiril – European Journal of Science and Mathematics Education, 2013
Geometry plays an important role in the school mathematics curriculum all around the world. Teaching of geometry varies a lot (Hoyls, Foxman, & Kuchemann, 2001). Many countries revise the objectives, the content, and the approaches to the geometry in school. Studies of the processes show that there are not common trends of these changes…
Descriptors: Geometry, Mathematics Instruction, Foreign Countries, Mathematics Curriculum
How Do Mathematicians Learn Math?: Resources and Acts for Constructing and Understanding Mathematics
Wilkerson-Jerde, Michelle H.; Wilensky, Uri J. – Educational Studies in Mathematics, 2011
In this paper, we present an analytic framework for investigating expert mathematical learning as the process of building a "network of mathematical resources" by establishing relationships between different components and properties of mathematical ideas. We then use this framework to analyze the reasoning of ten mathematicians and mathematics…
Descriptors: Mathematics, Professional Personnel, Graduate Students, Expertise
Fuentes, Sarah Quebec – Australian Senior Mathematics Journal, 2011
In high school geometry courses, students are often given a prepackaged statement that they are asked to prove. In these situations, the process of writing proofs is being abridged, if not misrepresented. To provide her students with a more authentic experience in writing a proof, the author provided them with a summative project for which they…
Descriptors: Childrens Literature, Mathematical Logic, Geometric Concepts, Geometry
Tanguay, Denis; Grenier, Denise – For the Learning of Mathematics, 2010
We report on an experiment conducted with pre-service teachers in France and in Quebec. They were submitted to a classroom situation involving regular polyhedra. We expected that through the activities of defining, of exploring and experimenting via concrete constructions and manipulation, students would reflect on the link face angle--dihedral…
Descriptors: Foreign Countries, Geometry, Experiments, Mathematical Logic
Previous Page | Next Page »
Pages: 1 | 2