The learning that happens before school entry provides children with a strong foundation on which to build new conceptual understandings. In particular, mathematical skills predict later math and reading outcomes in elementary school. This article summarizes existing research on equity-based math instructional approaches and provides a rationale…

Mathematical modeling is a process in which students investigate authentic problems and everyday situations using mathematics. In doing so, they bring their multiple mathematical knowledge bases and cultural funds of knowledge into their solution strategies. During a task called "Abuelo's Birthday", 297 students in grades 3-5 decided how…

Historically, secondary students with Emotional/Behavioral Disorders (EBD) have made poor progress in mathematics putting them at-risk for school failure. One mathematic area that students with EBD have difficulties in is solving word problems. The purpose of this exploratory study was to examine the effects of schema-based instruction on…

We report here on an intervention implementing a structural approach to arithmetic problem-solving in relation to learning outcomes among preschoolers. Using the fundamental principles of the variation theory of learning for developing the intervention and as an analytical framework, we discuss teaching and learning in commensurable terms. The…

The equal symbol has been used in diverse mathematical frameworks, such as arithmetic, algebra, trigonometry, set theory, and so on. In mathematical terms, the equal sign has been used in fixed command of standings. The study reports on the students meaning and interpretations of the equal sign. The study involved Grade 6, 7, and 8 students in a…

This study aimed to describe and compare the students' fluency, flexibility, and originality in solving non-routine problems in the Palembang context. They were depicted from the student's fluency, flexibility, and originality of solving the horizontal and vertical mathematization forms. This qualitative study employed. The subjects of this study…

The present study focuses on creating a more pleasurable learning experience for students learning maths. Participants completed two lists of maths problems, a short list of only difficult maths problems and an extended list with both difficult maths problems and moderately difficult maths problems, placed in the beginning, end, or both beginning…

In mathematics education, digital tools have been used to enhance young children's understanding of specific subject matter. In such implementations, the digital tool can replace, amplify or transform 'ordinary' mathematics teaching. In an initial study, systematization and duplication were identified as critical when young children were to solve…

The goal of the present study is to investigate the impact of procedural and conceptual teaching on students' mathematical performance over time. For this purpose, implicit differentiation and integration by parts were taught in two different ways to first-year university students of two different calculus courses: one course with Conceptual…

In this article, we report the findings of a study conducted with 6 Grade 8 students in the United States. The students posed stories for open number sentences involving addition and subtraction of integers. We analysed the stories posed by the students to build models that describe the conceptual structures behind these posed stories -- the…

Mathematics education highlights the importance of helping students understand mathematical content and the ability to think critically about mathematics. Mathematical practice standards outline expectations for engaging students in meaningful mathematics activities to encourage a deep understanding of mathematical concepts and content. For some…

Problem-solving is of importance in the teaching and learning of mathematics. Nevertheless, a baseline investigation conducted in 2016 revealed that mathematical problem-solving is virtually missing in South African classrooms. In this regard, a two-cycle design-based research project was conducted to develop a professional development (PD)…

The main goal of the current study is to develop intervention of learning to promote students' understanding of percentage. The design of the interventions employed the spatial representation of percentage in the form of a bar model and was designed based on the pedagogical concepts of Realistic Mathematics Education (RME). The participants were…

The purpose of this study was to investigate how the use of the action-based manipulatives affects students' problem-solving skills, fluency, understanding, and reasoning ability in mathematics classrooms. A case study was conducted as an out-of-school project with seven second grade students who were part of the study group. Data collection…

Mathematics is often taught by explaining an idea, then giving students practice in applying it. Tutoring systems can increase the effectiveness of this method by monitoring the students' practice and giving feedback. However, math can also be taught by having students work collaboratively on problems that lead them to discover the idea. Here,…