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Recep Aslaner; Aziz Ilhan – Pedagogical Research, 2024
GeoGebra is a dynamic software that is frequently used and of increasing importance in mathematics teaching processes in our digital age. Accordingly, in this study a new perspective has been brought to the proofs of the "two square difference identity" expressed for the square, which is a flat polygon, made with different approaches.…
Descriptors: Geometry, Mathematics Instruction, Computer Software, Teaching Methods
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Handan Demircioglu; Kudret Hatip – International Electronic Journal of Elementary Education, 2023
The present study aims to examine 8th grade students' proof writing and justification skills. The research was conducted using the document analysis method. The participants of the study consisted of 16 voluntary 8th grade students. The participants were determined according to the convenience sampling method. Data were collected with the…
Descriptors: Mathematical Logic, Mathematics Skills, Persuasive Discourse, Geometric Concepts
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Ramírez, Rafael; Cañadas, María C.; Damián, Alba – ZDM: Mathematics Education, 2022
This study lies within the field of early-age algebraic thinking and focuses on describing the functional thinking exhibited by six sixth-graders (11- to 12-year-olds) enrolled in a curricular enhancement program. To accomplish the goals of this research, the structures the students established and the representations they used to express the…
Descriptors: Algebra, Grade 6, Mathematics Instruction, Geometry
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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
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Olsher, Shai; Lavie, Irit – International Journal of Mathematical Education in Science and Technology, 2023
Generalization is considered to be an essential part of mathematical reasoning and proving, and it has many definitions in mathematics education research. Despite its centrality, teachers often have difficulty identifying and responding to generalization in students' work. In this study, we focus on preservice teacher's (PTs) ability to describe…
Descriptors: Generalization, Mathematics Skills, Preservice Teachers, Elementary School Mathematics
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Hogue, Mark; Scarcelli, Dominic – International Journal of Mathematical Education in Science and Technology, 2022
Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Mathematical Concepts
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Jennifer Talbot; Amanda Cullen; Cheryl Lizano – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Understanding fraction as a quantity has been identified as a key developmental understanding. In this study, students in Grades 5, 8, and 11 were asked to compare the areas of two halves of the same square--a rectangle and a right triangle. Findings from this study suggest that students who understand fraction as a quantity use reasoning related…
Descriptors: Fractions, Mathematics Skills, Thinking Skills, Abstract Reasoning
Moosa Ali Abdullah Alhadi – ProQuest LLC, 2024
Geometry education is an important aspect of STEM education and career development, but it is often overlooked in K-12 education in the United States. Although there is some research on teaching geometry to students with learning difficulties at the elementary level, there is a lack of research on teaching advanced geometry skills at high school…
Descriptors: Geometry, Mathematics Achievement, Mathematics Instruction, Cognitive Ability
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Raz Harel; Shai Olsher; Michal Yerushalmy – Research in Mathematics Education, 2024
Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…
Descriptors: Mathematics Instruction, Teaching Methods, Feedback (Response), Thinking Skills
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Gulkilik, Hilal – Interactive Learning Environments, 2023
The purpose of this study was to analyze the prompts that preservice secondary mathematics teachers used for the acquisition of mathematics knowledge in dynamic geometry environment tasks. The participants, four preservice secondary mathematics teachers who were enrolled in a computer-supported mathematics education course, designed a dynamic…
Descriptors: Preservice Teachers, Geometry, Mathematics Teachers, Mathematics Instruction
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Aparicio Landa, Eddie; Sosa Moguel, Landy; Cabañas-Sánchez, Guadalupe – International Journal of Education in Mathematics, Science and Technology, 2021
This article examines the development of professional knowledge in pre-service mathematics teachers. From the discussion of a task associated with the multiplication of consecutive integer numbers, generalization is recognized as a process that allows to explore, to explain, and to validate mathematical results, and as an essential ability to…
Descriptors: Mathematical Concepts, Mathematics Instruction, Geometry, Algebra