This research aims to describe the mathematical problems posed by prospective elementary school pre-service teachers in differentiated learning. This research uses a qualitative approach and uses problem-posing tasks and interviews as tools for collecting data. In the problem-posing task, information on learning conditions is provided, which…

Learning fractions is essential for academic and daily life success. A critical first step in acquiring fractions is learning to transcode them (e.g., writing ½ when hearing "one half"). However, little is known about how students master fraction transcoding. We addressed this gap by assessing fraction writing in two groups of Brazilian…

The purpose of this quantitative, quasi-experimental nonequivalent control group design study was to measure the effects of both types of manipulatives on student mathematical understanding of 1st and 4th grade, Title I students. This data is needed for teachers to make informed decisions regarding their instructional choices. 270 participants…

Teaching requires attention to individual student needs by providing both adequate challenge and sufficient support to help students successfully gain academic skills (Shurr et al., 2019). The learning stages framework divides typical learning into four distinct stages: acquisition, fluency, maintenance, and generalization (Collins, 2012; Haring…

Background: Teaching quality is assumed to be an essential prerequisite for student learning outcomes such as mathematics confidence and mathematics achievement. Notwithstanding its significance, empirical research examining the relations between teaching quality and learning outcomes is still limited, particularly among primary school students.…

In the 21st - century skills - oriented education, this study aims to bridge the gap in traditional mathematics teaching, which often addresses teamwork and problem - solving skills independently. It focuses on designing and assessing an integrated instructional model using Problem - Based Learning (PBL) via Collaborative Learning (CL) to equip…

In this paper, we detail the outcomes of a small-scale intervention study that aimed to support the mathematising processes of Grade 2 South African learners when working with additive relations problems. We report on the mathematising shifts that were evident in pre- and post-test responses prior to and after a sequence of 13 intervention…

This study of the usage and effectiveness of Exact Path is based on student data from a large school system in the United States and student-level application usage data from Exact Path pilot implementation in the 2022-23 school year. Edmentum's Exact Path program personalizes digital student learning resources through diagnostic assessments,…

The usage of digital media, especially tablet apps, is currently a major concern in educational settings. A controversial discussion is also taking place in relation to mathematics education at primary schools. While on the one hand there are empirical findings on helpful isolated examples and related subject-didactic potentials of digital media,…

Over the past decade, augmented reality (AR) has gained traction in geometric learning for its pedagogical potential. However, research on how learners engage with different AR technologies and when and how to incorporate them has remained largely unexplored. Employing a learning analytics approach, this study investigates the impact of…

Literature reviews about pedagogical innovations are of importance to determine further interventions for learning refinement and future research directions. The present study describes existing pedagogical innovations, identifies learning problems underlie the innovations, and outlines development models used for developing elementary mathematics…

Factors and multiples are important aspects of mathematical structure that support the understanding of a range of other ideas including multiplication and division, and later on, factorization. At primary school level, it is important that factors and multiples are taught as a connected enterprise and as vital parts of the multiplicative…

In this paper, we list some of the areas of the Australian curriculum that have links with the concept of infinity. We do this in order to promote a discussion about what aspects of infinity should become familiar to primary teachers. From our viewpoint, infinity has connections with Algebra, Art, Geometry and Measurement, Probability, Science and…

The authors use finding the area of irregular shapes as the context for developing flexible strategies for measuring area. This article builds on their paper, "Setting a Design Challenge: Promoting the Discovery of the Relationship between Area and Perimeter" (EJ1272407). As part of Lesson Study research within an initial teacher…

We investigate encoder-decoder GRU networks with attention mechanism for solving a diverse array of elementary math problems with mathematical symbolic structures. We quantitatively measure performances of recurrent models on a given question type using a test set of unseen problems with a binary scoring and partial credit system. From our…