The generality requirement, or the requirement that a proof must demonstrate a claim to be true for all cases within its domain, represents one of the most important, yet challenging aspects of proof for students to understand. This article presents a multi-faceted framework for identifying aspects of students' work that have the potential to…

Most researchers investigate the corrected item-total correlation of items when analyzing item discrimination in multi-dimensional structures under the Classical Test Theory, which might lead to underestimating item discrimination, thereby removing items from the test. Researchers might investigate the corrected item-total correlation with the…

The authors take a mathematical journey into polygonal chains to provide an algorithm that will construct a closed polygonal chain where the lines intersect exactly an exactly an odd number of times.

In anticipation of "AstroNotes" articles planned for the near future, a short primer on certain fundamental aspects of the celestial sphere and its associated geometry is in order. While astronomers proper and longtime astronomy faculty will already be familiar with this topic, newer faculty and perhaps those from other disciplines, but…

In this work, a bibliometric analysis of the investigations of the last 54 years focused on the teaching of topology and its applications in the learning of other areas of knowledge was carried out. The articles that appear in the SCOPUS database were taken into account under the search criteria of the words topology and teaching, connected with…

This study aims to examine the strategies developed by 7th grade students while shading different percentages of geometric shapes. The study was carried out with 113 7th graders studying at a state middle school in a province of Turkey. The data were gathered using the Shading Percentage Test, which consisted of seven tasks. Data analysis employed…

With the ever-evolving implementation of technology in the teaching and learning of geometry, the task of designing and/or finding suitable questions or problems that can facilitate and promote mathematical reasoning and accurately assess students' understanding of the subject matter can be a challenge. It is the aim of this article to share the…

The purpose of this study was to carry out an analysis of the effectiveness of the Flipped Classroom methodology for teaching mathematics--specifically geometry, in an online environment. Specifically, we measured: (1) the academic achievement of students who were taught based on this method; and (2) the perceptions of satisfaction with this…

The aim of the study is to determine the movement skills, geometry and spatial perceptions of five-year-old children. The study group consisted of 222 children, 110 girls and 112 boys, who received preschool education in the spring semester of the 2021-2022 academic year in Istanbul, Türkiye. The correlational survey model, one of the quantitative…

There has been substantial research undertaken on the integration of computational thinking (CT) in K-12 mathematics education in recent years, particularly since 2018 when relevant systematic reviews were conducted on the topic. Many empirical studies in this area have yet to elaborate clearly and explicitly on how CT may support mathematics…

This study aims to examine the components of collective argumentation of pre-service middle school mathematics teachers during geometric construction activities. To scrutinize this issue, case study research was utilized. The participants were 14 pre-service middle school mathematics teachers who worked collectively by forming four groups. During…

Learn how to engage students in geometry concepts through a real-world task that leverages GeoGebra to provide students with generalization and authorship opportunities. This article shares the story of a geometry task that asked students to choose a city that would best work for their new trucking company. Throughout the task, students noticed…

Being able to move between different representations levels (macroscopic, submicroscopic, and symbolic) is important to understand a chemical phenomenon meaningfully. The current study investigated how pre-service science teachers moved from symbolic representation to sub-microscopic representation. A total of 205 pre-service science teachers,…

The general objective to be achieved in this study is to determine the effect of using Blended Learning in terms of Intrapersonal Intelligence on Problem Solving Ability. This research is a quasi-experimental research with a two × three factorial design. Documentation, questionnaires, and tests were carried out the data collection method. The…

This study aims at highlighting the relationship between mastery learning models and academic performance in mathematics, moderated by the number of hours allotted to studying mathematics. There are 305 first to eighth-grade students who learn at "Nae A. Ghica Middle School" in Romania. Students in sixth, seventh, and eighth grades…