In this article, the goal is to describe students' mathematical reasoning in the context of different settings of problem-solving tasks. The core of the tasks are real objects, which are presented to the students with the help of photos, a 3D model or in the environment itself. With reference to the experiential learning theory and relations to…

Technology enables innovation in teaching and learning. Extant educational research has been focused on comparison between learning platforms, namely traditional and blended learning environments. The purpose of this study examined the differences between students' performance in a Blended and traditional college course and it compared the…

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…

Two middle school educators earned a Fulbright Distinguished Award in Teaching fellowship. A Fulbright Finland Foundation inter-country travel grant provided the grantees with a unique opportunity to connect and collaborate at the University of Helsinki. Within this research, they described their inquiry experiences. The research included…

The present review intends to show the current state of teaching quantum-related content, to analyze and compare its learning efficiency, and to give a systemized overview of quantum-educational activities in the last years. We focus on teaching and learning elements, their innovative tools, and process-oriented studies that are empirically…

In undergraduate mathematics education, students' collaborations have gained a reputation as a 'good' learning practice. A more complex image emerges once collaborations are construed as an arena where cognitive, social, and affective matters intertwine in ways that can fuel and impede learning. In this study, I take a close look at a…

Background: There are different teaching methods and learning content in the academic field of mathematics between school and university. Many students fail in their studies when the proportion of mathematics is high. Additionally, dropout rates, due to mathematical performance, are high. However, there are different strategies used to improve…

Learning progressions have become an important construct in educational research, in part because of their ability to inform the design of coherent standards, curricula, assessments, and instruction. In this paper, I discuss how a learning progressions approach has guided our development of an early algebra innovation for the elementary grades and…

In this paper, the effects of the online learning of the mathematical area of divisibility are studied, by comparing the achievements of students who have learned this mathematical topic in the online and in-class environments. Data for this study were collected in seven schools at the beginning of the seventh grade of elementary education, with…

This paper presents a conceptual exploration of how Digital Learning Platforms (DLPs) can be utilized to investigate the impact of language clarity, precision, engagement, and contextual relevance on mathematics learning from word problems. Focusing on three distinct DLPs--ASSISTments/E-TRIALS, MATHia/UpGrade, and Canvas/Terracotta--we propose…

In this study, we examine the fundamental difference hypothesis in language motivation, which suggests that language learning--at the motivational level--is qualitatively different from learning other school subjects. Despite being a long-standing assumption, few investigations have directly examined it. Using a comparative cross-sectional…

This paper outlines the design and application of a didactic sequence aimed at facilitating primary students' understanding of axial symmetry, utilizing a combination of digital artefacts and paper tasks. We wondered to what extent the designed didactic sequence is able to make primary school students formulate and validate effective programming…

Given the wealth of research available on what components to include in a syllabus and how that affects instructor perception, there is a lack of research on how to present the syllabus to engage students in learning about the course. Our study examined the implementation of two multimedia syllabi developed for large lecture math courses: a…

Each game within the Ignite by Hatch™ gaming environment belongs to an overall developmental domain and skills-based subdomain and is intended to meet the developmental needs of children at specific skill levels. These skill levels (Beginning, Emerging, Intermediate, Accomplishing, and Proficient+) form an intended developmental pathway. Children…

The role of metacognitive postdiction accuracy and autonomous and controlled motivation in mathematics was explored in elementary school children (n = 208) within two perspectives, related to sample characteristics. A first study was set up in a population-based cohort. A second study was set up with children with and without a documented…