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Cangül Simsek Esen; Rezan Yilmaz – Online Submission, 2024
Similarity is a crucial concept introduced in the 8th grade, and it is further developed and reinforced through associations during high school. This research aims to investigate how 8th grade students construct the concept of similarity using concrete manipulative support within the framework of APOS theory. The research was conducted as a…
Descriptors: Concept Formation, Manipulative Materials, Grade 8, Proximity
Hurrell, Derek – Australian Primary Mathematics Classroom, 2022
In a previous article, "The Shape of Reasoning: Using Geometry to Promote the Reasoning Proficiency Strand" (EJ1286217), the author put forward the argument that no medium is more powerful than geometry as a vehicle for developing the mathematical proficiency strand of Reasoning. Because geometry is so visual and tactile, the…
Descriptors: Geometry, Geometric Concepts, Mathematical Logic, Thinking Skills
Joe Champion; Ann Wheeler; Josephine Derrick; David Gardner – Mathematics Teacher: Learning and Teaching PK-12, 2024
This article describes a hands-on geometric tiling art activity used in two third-grade classes and four fifth-grade classes in a rural public elementary school with class sizes of around 20 students each. The lesson investigates concepts in geometry, number sense, and probability. Examples of student work and takeaways for other teachers…
Descriptors: Mathematics Instruction, Grade 3, Grade 5, Elementary School Students
Imai, Yasuo – Educational Philosophy and Theory, 2022
In Japan during the 1980s, there was an interesting debate about how to teach the area of a parallelogram effectively to primary school children. Yutaka Saeki criticized the standard method, which relies on a cut-and-paste procedure. He argued that the standard method inevitably failed to convince children because it does not provide any cogent…
Descriptors: Foreign Countries, Mathematics Instruction, Teaching Methods, Manipulative Materials
Giovanna Valori; Veronica Albanese; Natividad Adamuz-Povedano; Emilse Gómez-Torres – International Journal of Education in Mathematics, Science and Technology, 2024
Finding teaching methods that foster students' development of geometric thinking and visualization skills is still a current challenge. This study analyses the effects of the combined use of paper folding and dynamic geometry on high school students' geometric thinking and visualization skills. A quasi-experimental study pretest/post-test design…
Descriptors: Mathematics Instruction, Geometry, Educational Technology, Distance Education
Arslan, Aysenur; Kayhan Altay, Mesture – Journal of Visual Impairment & Blindness, 2021
Introduction: This study examines the spatial abilities of middle school students with visual impairments (i.e., blindness and low vision) in the context of spatial visualization. The study also aims to examine the strategies used by such students in solving questions requiring spatial ability. Methods: Participants comprised eight students with…
Descriptors: Spatial Ability, Middle School Students, Visual Impairments, Blindness
Maningo, Kent N.; Almerino, Porferio M., Jr.; Garciano, Lourdes M. – Cypriot Journal of Educational Sciences, 2021
This study examines the condition on whether or not there is an advantage on integrating manipulatives in the instruction against traditional teaching involving concept building and students' performance in geometry. To well achieve this objective, 48 Grade-9 students from a remote public school and island in the Philippines were invited and were…
Descriptors: Instructional Effectiveness, Mathematics Instruction, Geometric Concepts, Concept Formation
Chiphambo, Shakespear Maliketi; Feza, Nosisi Nellie – EURASIA Journal of Mathematics, Science and Technology Education, 2020
Research reveals that many mathematics teachers find it difficult to stimulate learners' interest in learning geometry. One major reason suggested is that geometric concepts are not well conceptualised and comprehended by both learners and teachers. The study explored learners' views on how polygon pieces and dictionary mediate learning of…
Descriptors: Geometry, Mathematics Instruction, Teaching Methods, Geometric Concepts
Kobiela, Marta; Lehrer, Richard – Mathematical Thinking and Learning: An International Journal, 2019
Design research was conducted to investigate the development of dynamic conceptions of area. Students used simple physical instruments, squeegees, and paint, to generate rectangular areas continuously as a sweeping motion of one length through another. Then, they dissected the resulting swept space into discrete units of measure by coordinating…
Descriptors: Geometric Concepts, Measurement, Concept Formation, Spatial Ability
Gecu-Parmaksiz, Zeynep; Delialioglu, Omer – British Journal of Educational Technology, 2019
The aim of the current study is to compare the effect of virtual and physical manipulatives on preschool children's understanding of geometric shapes. A quasi-experimental research design was employed where children in the experimental group used tablet computers to access Augmented Reality (AR)-based virtual manipulatives, while children in the…
Descriptors: Preschool Children, Geometric Concepts, Manipulative Materials, Computer Simulation
Burch, Lori; Tillema, Erik S.; Gatza, Andrew M. – Mathematics Teacher: Learning and Teaching PK-12, 2021
As algebra teachers, the authors explore the following question in this article: "How can algebra 1, algebra 2, and precalculus teachers support students to develop algebraic reasoning and understanding of structure that can serve them in day-to-day algebraic computation?" The article shows how the algebraic identity "(a +…
Descriptors: Algebra, Mathematics Instruction, Calculus, Mathematics Teachers
Lo, Jane-Jane; Cox, Dana Christine – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
Teaching geometry courses for preservice elementary teachers, we observed that difficulty with classifying shapes (and, in particular, composite 3-D shapes) persists even after work with simple shapes to support the writing of accurate and unambiguous definitions. We conducted a self-study of our teaching of 3-D concepts to uncover the concept…
Descriptors: Definitions, Geometric Concepts, Concept Formation, Preservice Teachers
Smith, Derrick W.; Lampley, Sandra A.; Dolan, Bob; Williams, Greg; Schleppenbach, David; Blair, Morgan – Journal of Visual Impairment & Blindness, 2020
Introduction: The emerging technology of three-dimensional (3D) printing has the potential to provide unique 3D modeling to support specific content in science, technology, engineering, and mathematics (STEM) education, particularly chemistry. Method: Seventeen (n=17) students with visual impairments were provided direct instruction on chemistry…
Descriptors: Visual Impairments, Manipulative Materials, Spatial Ability, Geometric Concepts
Disbudak, Ozge; Akyuz, Didem – International Journal for Technology in Mathematics Education, 2019
Concrete manipulatives and dynamic geometry software (DGS) are both commonly used for geometry education in elementary and middle schools. This study sets out to understand which of the two approaches was better in improving the conceptual understanding of quadrilaterals for fifth graders. A pre-/post-test design was conducted in which the same…
Descriptors: Instructional Effectiveness, Mathematics Instruction, Mathematics Achievement, Geometric Concepts
Kara, Melike; Eames, Cheryl L.; Miller, Amanda L.; Chieu, Annie – Mathematics Teacher, 2015
The very nature of algebra concerns the generalization of patterns (Lee 1996). Patterning activities that are geometric in nature can serve as powerful contexts that engage students in algebraic thinking and visually support them in constructing a variety of generalizations and justifications (e.g., Healy and Hoyles 1999; Lannin 2005). In this…
Descriptors: Algebra, Mathematics Instruction, Geometric Concepts, Concept Formation