The present study extends recent advances coordinating research on cognition and psychometric modeling around fractions. Recent research has demonstrated that the Diagnosing Teachers' Multiplicative Reasoning Fractions survey provides information about distinct components necessary for reasoning in terms of quantities when solving fraction…

The aim of this study is to compare the mathematical thinking experiences of fourth grade students at faculty of education and faculty of arts and sciences in the stages of specializing, generalizing, conjecturing, and proving. The study was conducted with 72 fourth grade students in the spring term of the academic year of 2015-2016. While 36 were…

The work described in this report is the first phase of a project to provide easy-to-use tools for authoring and rendering secondary-school algebra-level math expressions in synthesized speech that is useful for students with blindness or low vision. This report describes the initial development, software implementation, and evaluation of the…

As high school students make more and more important decisions, their need for financial literacy increases significantly. To succeed in life, they need both an understanding of financial issues and the math skills to make financially sound choices. With all the requirements and standards to be met in high schools today, how can teachers find room…

Students with autism spectrum disorders (ASD) are being included more frequently in general educational settings, and are therefore increasingly expected to access and master core curricular content, including mathematics. This comprehensive literature review synthesized eleven studies of mathematics intervention strategies for students with ASD.…

This study qualitatively explores expertise as a critical resource on which quality teaching depends. The study sample is comprised of six South African schools from the poorest poverty quintiles achieving relatively higher and lower academic outcomes. From interview data gathered over three years with teachers and other school staff, findings…

Schools need evidence-based guidance on which measures in mathematics, administered under what particular set of conditions (e.g., time of year), provide the most useful prediction. The purpose of this study was to examine decision accuracy among commonly used screening measures with a priority toward identifying the least costly screening…

In this paper, we discuss pre-service mathematics teachers' professional gains from a university-school collaboration where they were given opportunity to observe two teacher educators' instructional practices in a 6th grade classroom, interact with students in one-to-one fashion and reflect on the teacher educators' and their own practices. Three…

Recent studies highlight early childhood teachers' mathematics-related competence. Developing this competence should be a main aspect of early childhood teachers' education. This is, however, not the case in all countries. Consequently, high-quality professional development courses are needed. Based on research results, we developed a…

This manuscript reviews the empirical literature of the TouchMath© instructional program. The TouchMath© program is a commercial mathematics series that uses a dot notation system to provide multisensory instruction of computation skills. Using the program, students are taught to solve computational tasks in a multisensory manner that does not…

There is a trend to use mobile devices in K-12 classrooms and create 1:1 learning experiences. Current research has focused on creating student collaborative efforts and increasing engagement when learning using the iPad, as well as the user-friendly characteristics and the tremendous number of apps available. There continues to be a need for…

The aim of this qualitative study is to embed ICT in the teaching and learning of A-level vectors. Initially, students' learning difficulties and misconceptions in A-level vectors were diagnosed. Then, based on the difficulties identified, concepts in vectors together with interactive tools were developed and integrated in a webpage to enhance the…

In this article, Derek Hurrell, points out that while it's easy to fall into the impression that the proficiency strand "Fluency" is all about knowing basic number facts in all its many and splendid ways. He add it is easy to overlook, that within Fluency there are requirements that are based in Algebra; Measurement and Geometry; and…

This study investigated contributions of general cognitive abilities and foundational mathematical competencies to numeration understanding (i.e., base-10 structure) versus multidigit calculation skill. Children (n = 394, M = 6.5 years) were assessed on general cognitive abilities and foundational numerical competencies at start of 1st grade; on…

Preschool children have been proven to possess nonsymbolic approximate arithmetic skills before learning how to manipulate symbolic math and thus before any formal math instruction. It has been assumed that nonsymbolic approximate math tasks necessitate the allocation of Working Memory (WM) resources. WM has been consistently shown to be an…