The 21st-century mathematics classrooms should equip learners with well-grounded knowledge and thinking skills pertaining to geometry. However, Euclidean geometry remains one of the challenging, if not the most difficult topic for many learners. As a result, the purpose of this article is to interpret Grade 12 learners' learning difficulties in…

Subitising, a quick apprehension of the numerosity of a small set of items, has been found to change from an individual's reliance on perceptual to conceptual processes. In this study, we utilised a constructivist teaching experiment methodology to investigate how the subitising activity of one preschool student, Amy, related to her construction…

This study examined students' ability to learn mathematics in a self-directed teaching environment. One of the main goals of the educational system is to nurture independent learners who can grow up to be inquisitive, critical, creative, and capable of piloting their own learning. This implies making a change in the way the role of the mathematics…

Researchers in mathematics education have focused on teacher beliefs as an important area of study because of their influence on teaching practices. In this study, we focused on two aspects of beliefs, the nature of mathematics and the teaching and learning of mathematics, with eight pre-service mathematics teachers (PMTs) to explore alignment…

The senior secondary Mathematical Methods subject was introduced in Queensland in 2019 and parents were concerned with the low grades attained. Students in the subject need to develop extensive procedural knowledge and fluency to participate and engage successfully. This mixed methods study informed by constructivism investigated teachers'…

Online communities of practice (online CoP) have emerged as a viable method for teacher professional development regarding the emphasis on teacher networks for effective professional development and the elimination of some restrictions with online learning. Moreover, most technology integration studies examine teacher-centered technology…

This study explores high school students' and their mathematics teachers' mathematical discourses on the equal sign and variables in the classroom context. The participants in this case study were ninth graders and their mathematics teachers. The data were analyzed in terms of participants' routines, specifically ritual and explorative routines in…

The need for constructivist classroom environments in mathematics teaching cannot be ignored in order for sustainable development to continue. One of the most important applications of constructivist classroom environments in mathematics education all over the world is mathematical activities. The proficiency of pre-service mathematics teachers in…

The study examines the impact of APOS theory on students' achievement in Elementary Linear Algebra (ELA) in accordance with their adequate prior knowledge (APK) and inadequate prior knowledge (IAPK). The mixed methods were used to determine the problem-solving test in ELA. Data were obtained from 65 industrial engineering students at Andalas…

In this paper we examine the relationship between teachers' knowledge, beliefs and instructional practices based on a study with 495 Chinese pre-service mathematics teachers. The results indicate that Chinese pre-service mathematics teachers tend to hold mixed beliefs about the nature of mathematics, and a constructivist view about mathematics…

The addressed question from the interface between theory and teaching practice of constructivism is discussed at the background of whereabouts of the Common Core (CCSS-M) constructivist-based mathematics curriculum. It concerns the formulation of constructivist methodology of teaching, whose existence is called in doubts by US constructivist…

Over half a century has passed since Bruner suggested his three-stage enactive-iconic-symbolic model of instruction. In more recent research, predominantly in educational psychology, Bruner's model has been reformulated into the theory of instruction known as concreteness fading (CF). In a recent constructivist teaching experiment investigating…

The aim of this study is to examine the effect of teaching with worksheets prepared for the 6th grade clusters in distance education on the academic achievement of students. The research was conducted with 39 students studying in a public secondary school in eastern Turkiye in the first semester of the 2020-2021 academic year. In the study, a…

The paper addresses concept formation processes of students in the field of geometry. More precisely, the paper deals with the questions of what knowledge do students activate about triangles in different contexts with different (digital) tools and furthermore what content-related meaning do they give to the concept of triangles? Methodologically,…

Part of learning a new discipline is learning the language used in the discipline. For mathematics, emergent multilingual learners (EML) must learn English and mathematical symbols in order to make meaning and communicate. The mathematics community's understanding of communication is complex and includes the use of natural language, incorporation…