The purpose of this short paper is to describe a new proof of the Pythagorean Theorem that involves paper folding.

Two content topics will be described. One deals with geometric measurement: length, area, and volume. These are important topics and they have not been learned very well. In particular, what types of relations can one consider when dealing with these three aspects of geometric measurement? The second topic is fractions, and different views of what…

The incorporation of subject-specific technologies in teaching and learning mathematics has been extensively investigated in different areas outside Uganda. The benefits are extensive, although the adoption of these technologies has been threatened by teachers needing help to apply them effectively for instruction. While this alone would aptly…

This article presents a didactic situation focused on geometric reasoning using 3D GeoGebra, using the concepts Theory of Didactical Situations (TDS). The objective of this work is to bring a didactic proposal for the teaching of Spatial Geometry, working with the students' geometric perception, oriented and elaborated based on the dialectic of…

Geometric thinking affects success in learning geometry. Geometry is studied from elementary school to university level. Therefore, in higher education and basic education, it is necessary to carry out a systematic review in order to obtain tips for improving geometric thinking skills. A systematic review of geometric thinking was done in this…

When geometry teaching lacks elements of flexibility, inclusivity and accessibility, it is often difficult for learners to follow and understand what they are being taught. In line with this, this paper reports on the application of universal design for instruction (UDI) to guide flexible and accessible teaching of geometry to maximise learning.…

Art is a special tool for mathematics education. Many artists have used mathematics and geometry in their artworks. This study aims to examine M.C. Escher's drawings with creative drama in the light of transformation geometry. In this study, the explanatory sequential was chosen from the mixed-method designs. Quantitative data of the study were…

To fulfill the Standards for Mathematical Practice (National Governors Association Center for Best Practices & Council of Chief State School Officers [NGA Center & CCSSO], 2010), it is important for teachers to empower students to critique, revise, and expand their ideas as they solve problems. However, students often face challenges such…

This paper reports on a study conducted within VIDEO-LM (Viewing, Investigating and Discussing Environments of Learning Mathematics), a video-based professional development project for secondary mathematics teachers that aims to enhance reflection on practice. The study explored VIDEO-LM sessions where Israeli teachers watched an 8th grade…

We live in the challenging times of the 21st-century with the increased need for humans to possess specific skills that will help them to be successful in this era. This means that education should in learners, develop these skills effectively. Different global countries have begun to recognize the significance of multiple solutions tasks in the…

We have integrated computer programming instruction into the required courses of our mathematics major. Our majors take a sequence of four courses in their first 2 years, each of which is paired with a weekly 75-minute computer lab period that has a dual purpose of both computationally exploring the mathematical concepts from the lecture portion…

This paper examines the effect of the use of dynamic geometry environments on young children's (ages 5-6, kindergarten/grade 1) thinking about angle. It provides a detailed description of introductory sessions of a geometry unit about angle, during which children worked in a whole classroom setting in which they could interact directly with…

Geometry teaching in elementary schools in Colombia is a challenging task. Students' problems with this topic have led to below-average performances in the Program of International Student Assessment. To face this challenge, this paper presents Akasha, a personalized software application to reinforce geometry teaching to elementary school children…

This descriptive causal-comparative study examined differences between ACT mathematics subtest scores for students taught using an integrated mathematics curriculum (Integrated Math 1-2-3) and students taught using a traditional mathematics curriculum (Algebra 1-Geometry-Algebra 2). The study also controlled for gender and aptitude. The results of…

In a Swedish second semester course on Euclidean and non-Euclidean geometry in mathematics education at Karlstad University, a bridging teaching strategy comprising elements from Mathematics, Didactics, History, Literature, and Technology was applied by using the concept of Narrative Didactics and Digital Interactive Mathematical Maps developed by…