The purpose of this study was to investigate the effectiveness of constant time-delay instruction with error correction in teaching the skill of identifying the numerals (from 1 to 5) to students with light intellectual disability. The experimental design of this study was multiple-probe model with probe conditions across subjects which is one of…

Developing students' geometric reasoning skills is dependent on the quality of task designs and the role of the teacher. The purpose of this study was to apply Sfard's (2008) interpretive framework to analyse changes in students' mathematical discourse. This paper reports on the results of an investigation into the ways one class of Year 7…

This paper explores what we can learn from research that early cognitive processes support the development of children's mathematics skills. The role of two cognitive processes in working memory in the development of early mathematics was investigated: executive functions (EF) and visual-spatial (VS) ability. Children's mathematical skills were…

In this study, we investigate the relationship between teachers' noticing and the quality of their mathematics instruction. We analyzed the conversation of seven elementary teachers around five coaching cycles and scored their level of noticing and the mathematical quality of the instruction of the lesson. We compared teachers' noticing levels…

The Diagnostic Assessment and Achievement of College Skills (DAACS) online system assesses newly enrolled college students' skills in reading, writing, mathematics, and self-regulated learning, and provides individualized feedback and links to resources. The purpose of this study is to examine validity evidence regarding the internal structure of…

Background: In low-stakes educational assessments, test takers might show a performance decline (PD) on end-of-test items. PD is a concern in educational assessments, especially when groups of students are to be compared on the proficiency variable because item responses gathered in the groups could be differently affected by PD. In order to…

The aim of this study is to achieve a deeper understanding of the repertoire of cognitive resources children can display in the process of learning numbers. Forty-two children attending Age 4 Kindergarten Class or Year-One in Argentina were individually interviewed, based on a semi-structured script requiring them to represent definite and…

Teaching in an inner city school requires classroom management, resilience, and most importantly strategies to promote learning and growth. There is a constant need for acceleration in student growth in core subjects, especially Math. A blended learning model can be an effective option for schools to personalize learning experiences for students…

Recent research on the phenomenon of improper proportional reasoning focused on students' understanding of elementary functions and their external representations. So far, the role of basic function properties in students' concept images of functions remained unclear. We add to this research line by investigating how accurate students are in…

Learning by invention is an alternative approach to teaching statistics where students are tasked with attempting to solve a problem before being taught the canonical formula for solving it, often resulting in increased understanding of material compared with traditional instruction. The first study, conducted in a college statistics classroom…

Wynn's (1992) seminal research reported that infants looked longer at stimuli representing "incorrect" versus "correct" solutions of basic addition and subtraction problems and concluded that infants have innate arithmetical abilities. Since then, infancy researchers have attempted to replicate this effect, yielding mixed…

There is a general assertion among mathematics instructors that learners need to acquire problem solving expertise, figure out how to communicate using mathematics knowledge and aptitude, create numerical reasoning and thinking, to see the interconnectedness amongst mathematics and other subjects. Based on this perspective, the present study aims…

Fluency, a combination of response accuracy and speed, enables students to work efficiently through academic tasks. Students with disabilities and math deficits often struggle to learn math facts fluently. Although issues with fluency frequently coexist with a disability, problems gaining fluency also stem from a lack of practice and appropriate…

The purpose of the study is to analyze the mathematics student teachers' solutions on the Esme Rug Problem through 7-stage mathematical modelling process. This problem was designed by the researchers by considering the modelling problems' main properties. The study was conducted with twenty one secondary mathematics student teachers. The data were…

Two non-verbal cognitive systems, an approximate number system (ANS) for extracting the numerosity of a set and a parallel individuation (PI) system for distinguishing between individual items, are hypothesized to be foundational to symbolic number and mathematics abilities. However, the exact role of each remains unclear and highly debated. Here…