Developmental Education in Mathematics (DEM) according to Zankov's model, or "Russian mathematics", has been in use in Norway since 2009 in an increasing number of schools (about 100 elementary schools in 2024). There has been relatively little research into the implementation of this teaching method in a Norwegian context. In this…

This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…

In this theoretical paper, we respond to a call for all Mathematics Education researchers to become equity researchers (Aguirre et al., 2017) by articulating how equity is foundational to making second-order models of students' mathematics. First, based on prior research, we view equity to be about power and respect. We define an act of equity as…

Purpose: This study aimed to explore how an adapted theoretical framework by networking two theories could help document teachers' collective learning through lesson study. Design/methodology/approach: Interconnected Model of Teacher Professional Growth (IMPG) and Documentational Approach to Didactics (DAD) has been used individually to document…

Research using the Anthropological Theory of the Didactic suggests different models of how student learning may evolve in the progression of undergraduate mathematics coursework: from elementary courses in Calculus to more advanced courses in Analysis. An ideal model suggests that the theory-driven learning in the latter serves as a natural…

Assessments built on a theory of learning progressions are promising formative tools to support learning and teaching. The quality and usefulness of those assessments depend, in large part, on the validity of the theory-informed inferences about student learning made from the assessment results. In this study, we introduced an approach to address…

In this research I explored how mathematics teachers can inform their teaching practice through a meta-reflective inquiry into methods of facilitating Whole Brain® learning in mathematics. Herrmann's Whole Brain® theory was used as a lens through which to explore leading theories in the fields of constructivism, mathematics education and cognitive…

The research aim was to obtain a Sociocultural Theory-oriented Mathematics Learning Model with "Tri Hita Karana" insight that is valid, practical, and effective in developing the good character of students in learning mathematics. This research was a research and development with reference to the development of Plomp. The data collection…

Significant attention is being paid to how assessments aligned to learning trajectories (LTs) can be used as a means to locate students' progress in learning big ideas in mathematics over time. Furthermore, data from LT-aligned assessments have been signaled as key to driving student-centered instruction on a day-to-day basis. For LTs and…

The goal of learning analytics is to optimize learning and the environments in which it occurs. Since 2011, when learning analytics was defined as a separate and distinct area of academic inquiry, the literature has identified a need for research that presents evidence of effective learning analytics, as well as, learning analytics research that…

Research in second language acquisition and the learning of mathematics has matured through long, albeit disconnected, histories. This study examines how theories and models of second language acquisition can be applied to the learning of mathematics and, through this, develops a novel framework defining stages in the learning of mathematics. This…

One potential means to develop students' contextual and conceptual understanding of mathematics is through Inquiry Learning. However, introducing a problem context can distract from mathematical content. Incorporating argumentation practices into Inquiry may address this through providing a stronger reliance on mathematical evidence and reasoning.…

In light of conceptual metaphor theory, historical mathematicians' and students' difficulty with negative numbers reveals that the collecting objects metaphor may be a cognitive obstacle to those first learning about negative numbers. Moreover, consistency of physical motions with targeted ideas is a factor of cognition. Thus, this…

In this article, the author wishes to emphasize two fundamental points related to theory that were significantly underplayed in Simon et al.'s "A Developing Approach to Studying Students' Learning through Their Mathematical Activity" (2010). The author believes these points are central to any study of children's mathematical learning. The first…

In spite of increased interest in game-based learning, relatively little is known about the learning process in games. The aim of this article is to study the process of conceptual change in the context of game-based learning in order to reveal playing behavior that triggers and facilitates it. Primary school pupils (N = 401) played a game of…