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Ramatlapana, Kim; Berger, Margot – African Journal of Research in Mathematics, Science and Technology Education, 2018
In this paper we probe prospective mathematics teachers' thinking as displayed in their solutions to a geometry content knowledge-based task. Geometry content knowledge is examined in terms of connections made by these prospective teachers between the geometric configurations and the geometric principles established through visualization and…
Descriptors: Preservice Teachers, Mathematics Teachers, Geometric Concepts, Geometry
Yilmaz, Rezan; Argun, Ziya – International Journal of Education in Mathematics, Science and Technology, 2018
Mathematical abstraction is an important process in mathematical thinking. Also, visualization is a strong tool for searching mathematical problems, giving meaning to mathematical concepts and the relationships between them. In this paper, we aim to investigate the role of visualizations in mathematical abstraction through a case study on five…
Descriptors: Geometry, Visualization, Mathematical Logic, Mathematics Instruction
Mavani, Deepak; Mavani, Beena; Schäfer, Marc – African Journal of Research in Mathematics, Science and Technology Education, 2018
This paper reports on an aspect of a larger research study conceptualised within a teacher development project in Mthatha, Eastern Cape Province. The project was initiated with the objective to develop appropriate skills to use dynamic geometry software (DGS) effectively and strategically as a teaching and learning tool for mathematics. The study…
Descriptors: Case Studies, Geometry, Mathematics Instruction, Teaching Methods
Jagals, Divan; van der Walt, Marthie – Pythagoras, 2018
Awareness of one's own strengths and weaknesses during visualisation is often initiated by the imagination -- the faculty for intuitively visualising and modelling an object. Towards exploring the role of metacognitive awareness and imagination in facilitating visualisation in solving a mathematics task, four secondary schools in the North West…
Descriptors: Visualization, Metacognition, Imagination, Role
Ramful, Ajay; Ho, Siew Yin; Lowrie, Tom – Mathematics Education Research Journal, 2015
This inquiry presents two fine-grained case studies of students demonstrating different levels of cognitive functioning in relation to bilateral symmetry and reflection. The two students were asked to solve four sets of tasks and articulate their reasoning in task-based interviews. The first participant, Brittany, focused essentially on three…
Descriptors: Spatial Ability, Visualization, Case Studies, Cognitive Ability
Baltaci, Serdal; Yildiz, Avni – Online Submission, 2015
Each new version of the GeoGebra dynamic mathematics software goes through updates and innovations. One of these innovations is the GeoGebra 5.0 version. This version aims to facilitate 3D instruction by offering opportunities for students to analyze 3D objects. While scanning the previous studies of GeoGebra 3D, it is seen that they mainly focus…
Descriptors: Computer Software, Mathematics Instruction, Educational Technology, Geometry
Koparan, Timur; Yilmaz, Gül Kaleli – Journal of Education and Training Studies, 2015
The purpose of this study is to define prospective teacher views about using dynamic geometry software for intersection surfaces. The study was conducted as a case study. For this purpose, data collection tool was developed based on the opinion of two experts. The data collection tool consists of 4 open-ended questions related to the intersection…
Descriptors: Foreign Countries, Computer Software, Case Studies, Expertise
Patkin, Dorit; Dayan, Ester – International Journal of Mathematical Education in Science and Technology, 2013
This case study of one class versus a control group focused on the impact of an intervention unit, which is not part of the regular curriculum, on the improvement of spatial ability of high school students (forty-six 12th-graders, aged 17-18, both boys and girls) in general as well as from a gender perspective. The study explored three…
Descriptors: High School Students, Spatial Ability, Intervention, Visualization
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the fourth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Kun and…
Descriptors: Program Effectiveness, Foreign Countries, Teacher Education, Psychology
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…
Descriptors: Educational Theories, Elementary School Mathematics, Semiotics, Mathematics Education