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Direct linkMamolo, Ami; Glynn-Adey, Parker – ZDM: Mathematics Education, 2023
We report on a group theory activity in which learners explored dihedral symmetries through a tangible geometric model. This approach has historical roots in the work of Felix Klein's Erlangen Program and his "Elementary Mathematics from an Advanced Standpoint." We situate our study with respect to this history as well as current…
Descriptors: Mathematics Education, Elementary School Mathematics, Calculators, Geometry
de Cataldo, Riccardo; Griffith, Kaitlyn M.; Fogarty, Keir H. – Journal of Chemical Education, 2018
Introductory chemistry students encounter the concept of hybrid orbitals as a transition from atomic orbitals to molecular bonding. The principal purpose of learning hybridization in the undergraduate curriculum is to impart an understanding of the origins of molecular bonding and geometry. Physical models of both individual hybrid orbitals and…
Descriptors: Introductory Courses, Science Instruction, Visualization, Molecular Structure
Download full textAktümen, Muharem; Horzum, Tugba; Ceylan, Tuba – European Journal of Contemporary Education, 2013
This study describes the mathematical construction of a real-life model by means of parametric equations, as well as the two- and three-dimensional visualization of the model using the software GeoGebra. The model was initially considered as "determining the parametric equation of the curve formed on a plane by the point of a pen, positioned…
Descriptors: Equations (Mathematics), Mathematical Models, Computer Software, Educational Technology
Liljedahl, Peter, Ed.; Nicol, Cynthia, Ed.; Oesterie, Susan, Ed.; Allan, Darien, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…
Descriptors: Foreign Countries, Mathematics Education, Educational Psychology, Educational Research
Peer reviewedTrigg, Charles W. – Mathematics Teacher, 1974
Five methods are given for computing the area of a regular octahedron. It is suggested that students first construct an octahedron as this will aid in space visualization. Six further extensions are left for the reader to try. (LS)
Descriptors: Geometric Concepts, Geometry, Instruction, Mathematical Formulas
Peer reviewedSlovin, Hannah – Mathematics Teaching in the Middle School, 2000
Reports on a research project to use transformation geometry to give students an opportunity to work with proportions using visual models. (YDS)
Descriptors: Evaluation Methods, Geometry, Mathematical Models, Mathematics Curriculum
Peer reviewedYerushalmy, Michal; Chazan, Daniel – Educational Studies in Mathematics, 1990
Identified are three obstacles which students must overcome when examining and interpreting diagrams. The resources of the Geometric Supposer, a set of microcomputer tools designed to aid students, are outlined. The advantages of the use of this software are emphasized. (CW)
Descriptors: Computer Software, Computer Uses in Education, Diagrams, Geometric Constructions
Peer reviewedMathematics Teacher, 1992
Presents activities that utilize representations of the side, front, and top views of three-dimensional configurations of blocks to develop spatial-visualization skills and aspects of the concept of function. Provides worksheets of these open-ended investigations. (MDH)
Descriptors: Cooperative Learning, Discovery Learning, Discovery Processes, Functions (Mathematics)
Miller, Nathaniel – PRIMUS, 2006
In this paper, I will discuss two related activities that I have developed for use in a college geometry course directed at pre-service secondary and elementary school teachers. These activities ask students to develop geometry on pool tables and on cones. The two activities are closely related, and both ask students to relate computer models with…
Descriptors: Elementary School Teachers, Geometry, Secondary School Teachers, Elementary School Mathematics
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
