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Mollakuqe, Vesa; Rexhepi, Shpetim; Iseni, Egzona – International Electronic Journal of Mathematics Education, 2021

The most influential books on geometry are those of Euclid called "Elements". In our century, in addition to classical learning, various interactive software are used in teaching geometry. Among them, we can mention GeoGebra. GeoGebra is an interactive math measurement program that consists of teaching and learning from elementary to…

Descriptors: Computer Software, Mathematics Instruction, Teaching Methods, Computer Assisted Instruction

Šedivá, Blanka – International Journal for Technology in Mathematics Education, 2019

The Monte Carlo method is one of the basic simulation statistical methods which can be used both to demonstrate basic probability and statistical concepts as well as to analyse the behaviour stochastic models. The introduction part of the article provides a brief description of the Monte Carlo method. The main part of the article is concentrated…

Descriptors: Simulation, Monte Carlo Methods, Teaching Methods, Mathematics Instruction

Morales-Vidales, J. Abraham; Salazar, S. Alejandro Sandoval; Jacobo-Fernández, Jimena M.; Tlahuice-Flores, Alfredo – Journal of Chemical Education, 2020

This work covers a three-week program designed to provide undergraduate students with a background in structural chemistry and materials science. Sessions are based on the programming of regular polyhedra and their geometrical relationships by using an object-oriented language (i.e., POV-Ray). Three lectures introduce the basics of programming…

Descriptors: Chemistry, Geometry, College Science, Undergraduate Students

Gürefe, Nejla – Universal Journal of Educational Research, 2018

Effective mathematics teaching can be actualized only with correct use of the mathematical content language which comprises mathematical rules, concepts, symbols and terms. In this research, it was aimed to examine the mathematics prospective teachers' content language skills in some basic geometric concepts which are ray, angle, polygon,…

Descriptors: Mathematics Skills, Language Skills, Preservice Teachers, Mathematics Teachers

Celik, Hulya Sert; Yilmaz, Gul Kaleli – International Journal of Curriculum and Instruction, 2022

Geometry is an important part of the mathematics curriculum. In the late 1950s, Pierre Van Hiele and Dina Van Hiele-Geldof developed a theory of learning geometry. Theory helps determine students' geometric thinking levels, design appropriate instruction for their level, and students move to the next level. This study aims to examine the studies…

Descriptors: Foreign Countries, Geometry, Geometric Concepts, Thinking Skills

Wang, Sasha – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015

This paper reports two prospective teachers' and a mathematician's ways of identifying similar triangles and hexagons through the analysis of routines, a characteristic of geometric discourse. The findings show that visual recognition was a common approach for the mathematician as well as the two prospective teachers. However, when asked for…

Descriptors: Preservice Teachers, Mathematics Teachers, Professional Personnel, Mathematics Instruction

Perkins, Karen – Australian Mathematics Teacher, 2016

The topics of decimals and polygons were taught to two classes by using challenging tasks, rather than the more conventional textbook approach. Students were given a pre-test and a post-test. A comparison between the two classes on the pre- and post-test was made. Prior to teaching through challenging tasks, students were surveyed about their…

Descriptors: Pretests Posttests, Geometric Concepts, Plane Geometry, Comparative Analysis

Wheeler, Ann; Champion, Joe – Mathematics Teaching in the Middle School, 2016

Students are faced with many transitions in their middle school mathematics classes. To build knowledge, skills, and confidence in the key areas of algebra and geometry, students often need to practice using numbers and polygons in a variety of contexts. Teachers also want students to explore ideas from probability and statistics. Teachers know…

Descriptors: Probability, Middle School Students, Mathematics, Mathematics Instruction

Reiter, Harold; Holshouser, Arthur; Vennebush, Patrick – Mathematics Teacher, 2012

Getting students to think about the relationships between area and perimeter beyond the formulas for these measurements is never easy. An interesting, nonroutine, and accessible problem that will stimulate such thoughts is the Lattice Octagon problem. A "lattice polygon" is a polygon whose vertices are points of a regularly spaced array.…

Descriptors: Geometric Concepts, Plane Geometry, Secondary School Mathematics, Mathematics Instruction

MacGregor, James N. – Journal of Problem Solving, 2017

The article reports three experiments designed to explore heuristics used in comparing the lengths of completed Euclidean Traveling Salesman Problem (E-TSP) tours. The experiments used paired comparisons in which participants judged which of two completed tours of the same point set was shorter. The first experiment manipulated two factors, the…

Descriptors: College Students, Heuristics, Problem Solving, Mathematical Applications

Manizade, Agida G.; Mason, Marguerite M. – Mathematics Teacher, 2014

A mathematics classroom that reflects the vision of NCTM's "Principles and Standards for School Mathematics" will have the teacher posing problems, asking questions that build on students' thinking, and encouraging students to explore different solutions. In teaching about area, it is not sufficient to give students the…

Descriptors: Geometric Concepts, State Standards, Academic Standards, Problem Solving

Caspersen, Janna R.; Van Holt, Tracy; Johnson, Jeffrey C. – Field Methods, 2017

This article offers a way to measure agreement in participatory mapping. We asked subject matter experts (SMEs) to draw where Sudanese ethnic groups were located on a map. We then used an eigenanalysis approach to determine whether SMEs agreed on the location of ethnic groups. We used minimum residual factor analysis to assess the extent of…

Descriptors: Measurement Techniques, Expertise, Maps, Ethnic Groups

Açikgül, Kübra; Aslaner, Recep – Education and Information Technologies, 2020

The aim of this study is to investigate the effects of GeoGebra Supported Micro Teaching Applications and TPACK Game Practices on the TPACK efficacy and self-efficacy perception levels of the prospective math teachers on polygons. The study was carried out using 2 × 2 factorial design. The study group comprised 88 prospective math teachers. The…

Descriptors: Educational Technology, Technology Uses in Education, Teaching Methods, Technological Literacy

Papadopoulos, Ioannis – Science & Education, 2014

This paper describes a classroom experiment where students use techniques found in the history of mathematics to learn about an important mathematical idea. More precisely, sixth graders in a primary school follow Archimedes's method of exhaustion in order to compute the number p. Working in a computer environment, students inscribe and…

Descriptors: History, Grade 6, Elementary School Science, Computer Uses in Education

Kontorovich, Igor'; Zazkis, Rina – Educational Studies in Mathematics, 2016

This study is concerned with tensions between the two different perspectives on the concept of angle: angle as a static shape and angle as a dynamic turn. The goal of the study is to explore how teachers cope with these tensions. We analyze scripts of 16 in-service secondary mathematics teachers, which feature a dialogue between a teacher and…

Descriptors: Mathematics Instruction, Mathematical Concepts, Secondary School Mathematics, Secondary School Teachers