The initial assumption of this article is that there is an overemphasis on abstraction-from-actions theoretical approaches in research on knowing and learning mathematics. This article uses a critical reflection on research on students' ways of constructing mathematical concepts to distinguish between abstraction-from-actions theoretical…

This article was written based on the results of a study evaluating students' errors in problem solving of permutation and combination in terms of problem solving steps according to Polya. Twenty-five students were asked to do four problems related to permutation and combination. The research results showed that the students still did a mistake in…

Cognitive styles defined as the way by which individuals prefer to use in order to obtain, edit, utilize, remember the information are discussed as the indication of individual differences in many studies. The study aims to investigate behavioral data of mathematics teacher candidates categorized according to their cognitive styles while they…

Students with mathematics disabilities (MD) experience difficulties with both conceptual and procedural knowledge of different math concepts across grade levels. Research shows that concrete representational abstract framework of instruction helps to bridge this gap for students with MD. In this article, we provide an overview of this strategy…

Research Findings: Children differ in their ability to adapt to elementary school. Yet, the family factors that foster a successful transition to elementary school are less well understood. Family cohesion as an indicator of a positive emotional climate within families may play an important role for children's ability to adapt to school. Thus,…

Learning to compute with fractions is a major challenge for many students and especially for students with disabilities (SWD). Phase 1 of this study employed a randomized pretest-posttest comparison design to test the effects of two versions of formative assessment combined with an instructional program called Fractions at Work. In one condition,…

Science, Technology, Engineering, and Mathematics (STEM) education initiatives have placed pressure on teachers to bring technology tools into classroom, including three-dimensional (3D) printing. Yet, little research has examined what specific math skills are required for 3D printing technology. This article describes a follow-up analysis of…

This study describes the work of one high school team in designing, developing, supporting, and field-testing a new course to support numeracy and general learning skills for a particularly diverse population of students. The rationale, curriculum design, and pilot implementation of the course are situated in existing curriculum structures and…

Racial/ethnic minority girls have a history of being underrepresented in STEM. Yet, there is a dearth of research that identifies the mathematics experiences that predict being on a STEM pipeline. Analyzing data from the Educational Longitudinal Study (ELS: 2002), we examined the relationship between mathematics attitudes, beliefs, and enrichment…

This multi-method case study explored the actual and perceived mathematical growth, as measured by the counting and measuring, problem writing tasks (CaMPWTs) and focus student interviews respectively, of fifth graders at Catherine Elementary Middle School as they completed tasks designed specifically to scaffold the development of a set of math…

The papers in this issue describe recent collaborative research into the role of inhibition of intuitive thinking in mathematics education. This commentary reflects on this research from a mathematics education perspective and draws attention to some of the challenges that arise in collaboration between research fields with different cultures,…

The primary purpose of intensifying interventions is to increase the effect of the intervention currently being delivered. However, there has been little empirical work completed that can provide guidance on selecting intensification methods. Because intensity can be modified in a number of ways that may differentially impact the time, effort, or…

Existing studies have defined and assessed disciplinary literacy, mathematical literacy, and general academic language. However, there is a need to define and assess mathematics discipline-specific language (MDL), particularly for elementary school teachers. Therefore, the purpose of this study was to develop a research instrument to assess the…

Background: Making mathematics connections between home and school can have a positive impact on students' mathematics learning. This is particularly important for students whose experiences and perspectives are underrepresented in school curricula. Although there is evidence for how crucial it is to make connections between mathematics…

Many students do not experience usefulness in mathematics. To address this problem, we offered them a mathematical tool, Sankey diagrams, which is a flow chart appearing in news media to visualize social, industrial or environmental processes. We carried out an Educational Design Research (EDR) to develop and evaluate lesson materials about…