Nowadays, it is widely accepted that Information and Communication Technology (ICT) can promote positive changes in the teaching and learning process. This study explores how ICTs can be used in teaching and learning to enhance students' conceptual understanding and reasoning skills in mathematics. A mixed method case study (convergent parallel)…

This systematic review synthesizes the effects of mathematics vocabulary interventions on the mathematics outcomes of students with mathematics difficulty (MD) in Grades K through 12. We evaluated methodological rigor using three indicators: research design, implementation fidelity, and instruction in the counterfactual. Six peer-reviewed studies…

This systematic review synthesizes the effects of mathematics vocabulary interventions on the mathematics outcomes of students with mathematics difficulty (MD) in Grades K through 12. We evaluated methodological rigor using three indicators: research design, implementation fidelity, and instruction in the counterfactual. Six peer-reviewed studies…

In this paper a part of the data from a larger study, the Enactment Project, is explored. The exploration is guided by two research questions. The first is specific to the instructional core of teacher practice while the second is related to student perceptions of how they learn mathematics. The project adopted the Complementary Accounts…

The study of mathematics is often described as the science of patterns (Resnik 1981), and the cognitive tasks involving the search, recognition, and assessment of patterns are fundamental to learning mathematics. Patterning activities lead students to a better understanding of dependent relations among representations, create a transparent way for…

Noticing is a skill that is not overtly observable yet is consequential to effective mathematics instruction. Researchers have found that prospective and practicing teachers can learn to notice, but little focus has been given to those who teach teachers to notice. The purpose of the study was to characterize mathematics teacher educators'…

It is increasingly recognised that to be informed citizens and to participate fully in the workforce requires an understanding of statistical data and risk. Such understanding is underpinned by statistical reasoning. It has been shown, however, that students have difficulty moving from concrete representations and procedural mathematical…

Analogical reasoning has played an important role in the development of modern mathematics. However, there has been critique of analogies for the purpose of learning new mathematics. In this article, I counter that students can productively reason by analogy to learn new mathematics and even develop new mathematics themselves. I display examples…

We introduce, motivate, and exemplify a proposed theoretical construct guiding the design and facilitation of collaborative geometry activities, conceptually generative perspectival complementarity (CGPC). Participants in CGPC activities learn content by negotiating their respective perceptions of situated features they manipulate to accomplish…

Background: Mastering fractions seems among the most critical mathematical skills for students to acquire in school as fraction understanding significantly predicts later mathematic achievements, but also broader academic and vocational prospects. As such, identifying longitudinal predictors of fraction understanding (e.g., mastery of numbers and…

Understanding how early reading and mathematics co-develop is important from both theoretical and pedagogical standpoints. Previous research has provided mixed results. This paper investigates the development of reading and mathematics in a longitudinal sample of N = 355,883 students from the United Kingdom (2005-2019) aged 5 to 12 (49% girls).…

State exams frequently use word problems to measure mathematics performance, making difficulties with word problem solving a barrier for many students with learning disabilities (LD) in mathematics. Based on meta-analytic data for students with LD, five empirically validated word-problem strategies are presented, with components of model-based…

The present paper documents the design and development of a mobile mathematics application targeted to improve magnitude representation skills. Educational experts worked together with an app developer with the goal of creating an educational app as a math learning tool for children 5-8 years old. The description of the app design processes…

The aim of this study was to reveal 5th class middle school students' determination skills on the truth value of mathematical propositions about multiplication and division. These skills were evaluated in the context of operation meanings preferred and arguments constructed by the students in the process. The research group consisted of 95…

This paper aims to describe the design and inspection of the quality of a digital learning platform to diagnose mathematical ability levels of seventh-grade students with regard to the topics of Measurement and Geometry. A total of 517 seventh-grade students from 23 schools in four regions, namely north, northeast, central, and south of Thailand…