Circle and disc are fundamental concepts introduced in middle school, forming the basis for many other mathematical ideas. Students often face challenges in comprehending circles, discs, and their basic elements. This research examines the processes of sixth-grade students in constructing circles, discs, and their essential components within a…

Mathematics has been crucial to learning and extending the frontiers of knowledge in all academic areas. At the elementary level, several teaching approaches have been implemented to improve students' mathematical achievement. However, compared to traditional teaching exposition techniques, the teaching with the use of math manipulatives has been…

In this article we analyze how students reason about linear combinations across multiple digital environments. We present the work of three groups of undergraduate students in the Southeast United States (US) who were considered ready to take linear algebra. The students played the game "Vector Unknown," reflected upon aspects of their…

This study examines the effectiveness of GeoGebra in enhancing students' conceptual understanding of points, lines, and angles within a socio-cultural learning context. A quasi-experimental, nonequivalent pretest-posttest design was utilized, involving 279 first-year secondary school students from four public schools in Rwanda. Participants were…

Every educator knows the sinking feeling of a lesson gone wrong. As teachers look around the room and realize that many of their students are just not getting it, they often feel like failures. However, the struggle students experience as they persevere through high-quality challenging tasks is not a sign of failure, but rather a key aspect of…

The ability to relate mathematics teaching to real life is the common goal of many countries' mathematics curriculum National Society for Experiential Education's (NSEE) [2011] "Eight Principles of Good Practice for All Experiential Learning Activities." (intention, originality, planning, clarity, monitoring and evaluation, reflection,…

This study sought to use indigenous ("Adinkra") artefacts to present "Concreteness Fading" in multiplication of one-digit and one-digit numbers. The researcher used simple random sampling technique to select 51 participants from 300 student teachers. Two sets of tests were used to collect the data. The results were equally…

In 2 experiments, I studied the effects of an Equivalence Based Instruction (EBI) math intervention on the emergence of untaught selection responses and abstraction to production responses. In Experiment I, using a multiple baseline design, I implemented the EBI intervention among a group of 17 first grade participants with varying levels of math…

It is known that teacher noticing skills improve through different interventions such as video clubs, lesson study, and short-term professional development programs. However, it is not known whether this improvement is permanent and whether teachers can transfer their noticing skills into the classroom. It is extremely important to provide an…

Data science education in Japan extends from elementary to high school students. However, some studies show that this has not enhanced interest or curiosity in data science. Therefore, gamification appears to be an efficient method for encouraging high school students' interest in data science, with research indicating that video games are…

This study examined the potential of preservice special education teachers to design and create mathematical manipulatives to understand mathematical concepts. The authors sought to identify if the creation of manipulatives using a Cricut cutter would help preservice special education teachers understand the role of manipulatives in the classroom…

The study examined the impact of concept-based instruction on the teaching and learning of mathematics. Functions is the topic that was implemented in order to identify the improvements in learners' understanding. A total of 35 Grade 11 learners from a South African township school in Limpopo province participated in this study. Data were…

This study investigates the integration of makerspaces in early childhood education. It emphasizes the impact of play-based learning on children's cognitive development and attitudes towards learning. Quality early childhood learning encourages positive attitudes toward learning and school, fostering strength, confidence, and resilience. The study…

This study analysed first-year preservice teachers' understanding of trigonometric equations at a South African university in the Eastern Cape province. We employed the Action-Process-Object-Schema (APOS) framework to analyse the mental constructions made by preservice teachers in solving trigonometric equations. A qualitative case study design…

For several decades, digital formative assessment tools and platforms have been promoted as promising for supporting adaptive teaching. For learning goals such as procedural fluency, this promise has been held across a range of subject-matter topics. For conceptual learning goals, however, the available digital formative assessment tools are much…