Despite the importance of teacher fractional knowledge, there are several areas of teacher understanding that are not well understood. The purpose of this study was to characterise profiles of pre-service teachers' (PSTs) mathematical competence on the topic of fraction multiplication by examining PSTs' understanding of multiplication of fractions…

For primary school students, mathematical word problems are often more difficult to solve than straightforward number problems. Word problems require reading and analysis skills, and in order to explain their situational contexts, the proper mathematical knowledge and number operations have to be selected. To improve students' ability in solving…

Collaboration scripts and heuristic worked examples are effective means to scaffold university freshmen's mathematical argumentation skills. Yet, which collaborative learning processes are responsible for these effects has remained unclear. Learners presumably will gain the most out of collaboration if the collaborators refer to each other's…

The purpose of this study was to investigate the effects of an early numeracy intervention delivered by kindergarten teachers to students identified as having mathematics difficulties. A multigroup growth-modeling-with-random-assignment-to-intervention-condition design was employed. Thirty-two teachers were randomly assigned to the treatment or…

A brick wall provides a fitting description of what happens when teachers try to teach a concept for which students are unprepared. When students are unsuccessful academically, their foundational knowledge may be missing, incomplete, or incorrect. As a result, students "hit a brick wall," and their academic progress stops because they do…

The purpose of this article is to review the literature and apply a developmental neuroscience perspective in investigating the role of two interrelated cognitive processes--executive functions (EFs) and visuospatial (VS) skills--which have been empirically and theoretically linked to children's mathematics achievement. To illustrate, we provide…

The High School Longitudinal Survey (HSLS:09) is a nationally-representative, longitudinal study of over 23,000 9th graders from 944 schools in 2009. This study follows students throughout secondary and postsecondary years collecting data on student trajectories, major fields of study, career paths, and STEM interest. The study's Base Year was…

A challenge in mathematics education research is to coordinate different analyses to develop a more comprehensive account of teaching and learning. I contribute to these efforts by expanding the constructs in Cobb and Yackel's (1996) interpretive framework that allow for coordinating social and individual perspectives. This expansion involves four…

Highly capable mathematics students are not usually considered strugglers. This paper reports on a case study of a Year 6 student, Debbie, her response to a lesson, and her learning involving a challenging mathematical task. Debbie, usually a highly capable student, struggled to complete a challenging mathematical task by herself, but as the…

Language is frequently discussed as barrier to mathematics word problems. Hence this paper presents the initial findings of a linguistic analysis of numeracy skills test sample items. The theoretical perspective of multi-modal text analysis underpinned this study, in which data was extracted from the ten sample numeracy test items released by the…

This report summarises the research activities and findings from the TLRI-funded project entitled "Visualising Chance: Learning Probability Through Modelling." This exploratory study was a 2-year collaboration among two researchers, two conceptual software developers/interactive graphics experts, three university lecturers/practitioners,…

Mathematics interventions aimed at accelerating the learning of students with mathematics difficulties (MD) should be developed through a design science approach such as the Curriculum Research Framework (CRF). Precision Mathematics is a National Science Foundation-funded DRK-12 Design and Development project focused on building mathematical…

Contribution: This paper found that design experiences can foster engineering identity and belongingness for early career electrical and computer engineering students. Students had different interpretations of what it meant to be an engineer (identity) and their belongingness in engineering. This paper provides novel insights into how students may…

Students who exhibit giftedness alongside a learning disability (GLD) often display asynchronous academic development, and a combination of strengths that mask areas of struggle. Early identification and intervention may offset students experiencing low self-confidence and motivation, ineffective self-efficacy, or a loss of love for learning…

Specialized preschool programs can enhance the development of vulnerable young children at risk of special educational needs (SEN). Less is known about the potential of early childhood education and care (ECEC) provided for the general population. This study includes 2,857 children attending 141 ECEC centres in England and 310 with no ECEC. ECEC…