This paper describes five growth points in linking representations of function developed from a study of secondary school learners. Framed within the cognitivist perspective and process-object conception of function, the growth points were identified and described based on linear and quadratic function tasks learners can do and their strategies…

Studies in the field of learning analytics (LA) have shown students' demographics and learning management system (LMS) data to be effective identifiers of "at risk" performance. However, insights generated by these predictive models may not be suitable for pedagogically informed interventions due to the inability to explain why students…

Many students graduate from K-12 mathematics programs without flexible, conceptual mathematics knowledge. This article reviews psychological and educational research to propose that refining K-12 classroom instruction such that students draw connections through relational comparisons may enhance their long-term ability to transfer and engage with…

The purpose of this article is to provide a comprehensive review of the published research-based strategies used in content area instruction for students with autism spectrum disorders (ASD). Twenty-eight (N = 28) studies published from 2000-2012 that met the criteria for inclusion were located, reviewed, and synthesized. Findings revealed the…

There is mounting research evidence that contests the metaphysical perspective of knowing as mental process detached from the physical world. Yet education, especially in its teaching and learning practices, continues to treat knowledge as something that is necessarily and solely expressed in ideal verbal form. This study is part of a funded…

This article provides an overview of some perspectives about special issues in classroom mathematical teaching and learning that have stemmed from the huge explosion of research in children's mathematical thinking stimulated by Piaget. It concentrates on issues that are particularly important for less-advanced learners and for those who might be…

Criteria-referenced self-assessment is a process during which students collect information about their own performance or progress; compare it to explicitly stated criteria, goals, or standards; and revise accordingly. The authors argue that self-assessment must be a formative type of assessment, done on drafts of works in progress: It should not…

School curriculum and its impact on teaching and learning have received more and more research attention both in the United States and in the international context. For example, the Third International Mathematics and Science Studies (TIMSS) took curriculum and its different forms in the process of curriculum transformation as a guideline to…

The purpose of this article is to provide an overview of research-based interventions that incorporate self-regulation strategies to improve mathematics performance of students with learning disabilities (LD). Self-regulation is a metacognitive function essential to academic success. Students with LD are notoriously poor at self-regulation and…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…

The 10th International Conference on Educational Data Mining (EDM 2017) is held under the auspices of the International Educational Data Mining Society at the Optics Velley Kingdom Plaza Hotel, Wuhan, Hubei Province, in China. This years conference features two invited talks by: Dr. Jie Tang, Associate Professor with the Department of Computer…

We extend an earlier study on the role of memorising in learning science with three case studies on mathematicians' experiences as learners of mathematics and their views on memorising in students' learning. Each report reflects a different view of memorising--from a minimal role in learning mathematics, to a "stepping stone" role to memorising as…

This document consists of three related items. The first brief paper describes the components of a cumulative daily review program and its origins, rationale, and outcomes. The review-as-you-go (RAYG) format entails planning cumulative examinations and providing review problems each day. The procedure once was routinely used; today it is…

This analysis of 44 research studies concerned with word problems contains: (1) a brief overview; (2) 44 major findings and conclusions; (3) 64 suggestions and questions for further research; and (4) a reference list. The author suggests that the experimental research of the 1980s seemed to focus on the children, the instruction, and the word…

The effects of teaching strategy, relevant knowledge, and strategy length on high school students' mathematical learning ability were studied. Performance was found to increase as levels of relevant knowledge increased. Characterization strategies were found to be more effective than exemplification strategies for students with high relevant…