The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget's genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in…

This paper discusses the relevance of using physical situations to introduce the concept of angles at elementary school. We compare the effectiveness of two geometry teaching sequences. In the first one (physical sequence), the pupils learned the angle concept by experimenting on the playground (i.e. mesospace) and then modelling the situation. In…

The present report overseen by the Executive Agency for Higher Education, Research, Development and Innovation Funding (UEFISCDI) on behalf of the European Commission and the European Education and Culture Executive Agency as part of the contract for the implementation of the European Digital Education Hub, is the third report in a series…

Background/Context: Schools are spending more money than ever on a growing number of educational technology programs which are designed to boost student learning outcomes, especially after the integration of online learning that was necessitated by COVID-19 pandemic school closures and disruptions (Instructure, 2024; Teras et al., 2020). Rigorous…

Prior research suggests the interdependent nature of prospective teachers (PTs) beliefs about mathematics and beliefs about teaching and learning mathematics. Further, PTs' beliefs are said to be shaped by their prior experiences as mathematics learners. Using structural equation modeling, we assessed the relation between early childhood and…

This study investigated effective teaching strategies for enhancing mathematical fundamentals in Key Stage 1, specifically in Kindergarten and Grade 1, under the newly implemented MATATAG Curriculum. Anchored on the principle that early numeracy forms the foundation for future academic success. The research addressed the gap in instructional…

This study explores a spatial reasoning learning trajectory of a student with difficulty in mathematics. Using a teaching experiment methodology across 15 instructional sessions, we observed how the student responded to instruction based on an established 2D shape composition learning trajectory (Sarama & Clements, 2009). A narrative…

Games are frequently used to promote math learning, yet the competitive and collaborative contexts introduced by games may exacerbate gender differences. In this study, 1st and 2nd grade children in the U.S. (ages 5-8; N = 274; 70% White, 15% Asian, 2% Black, 1% Native American, 14% mixed or other race; 17% Hispanic) played either a competitive,…

Spanning parent-communication and administration to content delivery and student monitoring, platforms have become an integral part of contemporary schooling. Building on two ethnographic episodes occurring in a Danish primary school in January 2020, this article engages in an analysis and discussion of how the ongoing "platformization"…

The purpose of this study was to examine the efficacy of IXL Math in an elementary school context, using a randomized-control trial (RCT). This study examined mathematics achievement trajectories of 545 Grades 3-5 students across four elementary schools in a small Michigan school district during the 2022-23 school year. Teachers were randomly…

Purpose: This paper aims to describe the statistical arguments produced by third-grade students (8-9 years old) and to identify the teaching support for collective argumentation in a lesson based on data comparison. A Lesson Study Group researched and planned the lesson around a problem from the official mathematics textbook.…

Background/Context: Mathematics education, especially at early grade levels, continues to be an important focus for national education improvement efforts, and more districts are introducing technology as part of their solution. Along with increasing consistent delivery of personalized and individualized learning to students, technology- and…

Learning trajectories (LTs) can inform teaching by contributing a variety of pedagogical and content-related insights and strategies. They support sequencing topic introduction and development. Because ideas evolve gradually and often rely on a careful introduction of new representations, operations, cases of numbers, structures, and definitions,…

In the primary grades, engaging in counting collections provides students with regular opportunities to make sense of numbers in dynamic ways, build social skills, and communicate about mathematics. This article aims to guide elementary educators through a team's process of planning and implementing counting collections in kindergarten. Counting…

This article shows conditions for how an educational digital tool can open doors to an increasingly playful world -- and address some of the issues with introducing digital maths in early childhood education. Guided by a design-based research approach, the multimodal design of the educational app-based game DigiMat was iteratively created by a…