One of our favorite face-to-face teaching frameworks is "Launch, Explore, Summarize" (LES). However, transitioning LES activities to online settings challenged us to reimagine how learning and its interactions could be supported in this new environment. We explore our experience transitioning an LES lesson on the quadrilateral hierarchy…

Background: As highly interactive hands-on learning tools, robots can inspire new generations of mathematics students. However, to date, no comprehensive systematic reviews have been conducted on robot-assisted mathematics education from K-12 through higher education. Hence, it is important to explore the research evidence of robot-assisted…

In this theoretical paper, I review the history of research in educational psychology that inspired Shulman's notion of pedagogical content knowledge (PCK) and I critically examine interpretations of PCK reflected in prominent theoretical frameworks for mathematical knowledge for teaching (MKT). I propose a theory of PCK--grounded in radical…

This study aims to examine pre-service elementary mathematics teachers' knowledge of quadrilaterals and evaluate their understanding within the framework of Van Hiele's Geometric Thinking Levels. In particular, the study investigates how pre-service teachers define quadrilaterals and establish relationships between different types of…

While in traditional mathematics teaching methods, it is possible to prove concepts while teaching geometry and to reach generalizations that require more complex definitions by using concept findings, while in today's geometry teaching, learning that activates the student's discovery process gains importance. In this context, the aim of this…

The purpose of this study is to explore the relation between the teaching of Mathematics and the teaching of Statistics at high school level in the South African Context. The study also examines and analyses examples of statistical teaching situations from both a mathematical and a statistical perspective with view to reveal the links between the…

The field of mathematics education has engaged in perennial debate about whether transmission-oriented or constructivist approaches to teaching will best help students learn. Yet, both fluency, learned through step-by-step procedural instruction, and the mathematical flexibility that comes from constructivist methods play an important role in…

Aim/Purpose: This study presents some activities that integrate computational thinking (CT) into mathematics lessons utilizing GeoGebra to promote constructionist learning. Background: CT activities in the Indonesian curriculum are dominated by worked examples with less plugged-mode activities that might hinder students from acquiring CT skills.…

Through a constructivist teaching experiment, we studied how a 6th-grade student (Adam, pseudonym) struggling in mathematics may reorganize his available additive scheme (count-up-to) into a more advanced scheme involving the decomposition of composite units (break-apart-make-ten, or BAMT). First, we posed a task that led us to infer Adam was yet…

This study examines the impact of constructivist methods on students' performance in mathematical problem-solving, which is a significant issue in contemporary educational research. Traditional teaching methods, which are often oriented towards rote learning and memorization, have limitations in increasing students' performance in solving…

Tensions between constructivist learning theories and objectivist learning theories in online courses implicate a need for a theoretical balance. This article describes organizing and enacting tasks that elicit constructivist learning of mathematics in an online mathematics teacher education course. The results focus on a conceptual framework that…

In this article, I explore the impact of receiving mentorship into research and theory of the field that was guided by a social constructivist learning lens. I reflect on the ways that my conception of research and research agenda were framed subconsciously by early experiences investigating my secondary mathematics teaching practice under the…

This qualitative case study explored an elementary foundations mathematics course and the mathematics vocabulary elementary pre-service teachers (PSTs) encounter at various stages in their preparation as mediated by curriculum, standards, and assessment materials. Guided by the theoretical lens of a constructivism-informed conceptual framework,…

Mathematics remains a gatekeeper in schools; educators and researchers must carefully consider how diverse mathematical practices can be recognised and valued. To explore how math is recognised in the craft of weaving, which has been described as highly mathematical with roots in innovations by women, I interviewed 22 experienced weavers about…

This research proposes a didactic strategy to enrich the assimilation processes of the change of variable theorem in solving the definite integral. The theoretical foundations that support it are based on the contributions of social constructivism, problem solving, and treatment of theorems. The practical validation of the strategy is carried out…