In this convergent mixed methods design study, single-subject and qualitative data were collected concurrently to provide an in-depth picture of the impact of a modified schema-based instructional intervention. The intervention was delivered using instructional trials embedded across general education math lessons and a modified…

While many semiotic and cognitive studies on learning mathematics have focused primarily on students, this study focuses mainly on teachers, by seeking to bring to light their awareness of the semiotic and cognitive aspects of learning mathematics. The aim is to highlight the degree of awareness that teachers show about: (1) the distinction…

In an effort to improve upon Calculus I instruction at our institution, we designed a pilot study that incorporated a variety of evidence-based classroom practices. The goal was not to formally test known successful teaching interventions. Rather, the purpose was to develop and identify course materials and instructional methods that would not…

This article describes the beliefs and their transformations of members of a cohort of early-childhood, elementary and middle-level pre-service teachers (PSTs) as they professionally develop. A typological analysis of both quantitative and qualitative data collected between August 2011 and May 2013 was utilized to categorize how 40 PSTs' beliefs…

Metaphors are regularly used by mathematics teachers to relate difficult or complex concepts in classrooms. A complex topic of concern in mathematics education, and most STEM-based education classes, is problem solving. This study identified how students and teachers contextualize mathematical problem solving through their choice of metaphors.…

Instructor facilitation is an essential element in the successful implementation of technology-based interventions in authentic school settings. This manuscript reports results from two studies conducted during the development of KinderTEK, an iPad delivered kindergarten mathematics intervention, to determine the relationship between…

The purpose of this study was to investigate the relationship between prospective teachers' (PTs) instructional practises and their efficacy beliefs in classroom management and mathematics teaching. A sequential, explanatory mixed-methods design was employed. Results from efficacy surveys, implemented with 54 PTs were linked to a sample of…

Improving mathematical student performance in K-12 education has been a focus in the U.S. Students in the U.S. score lower on standardized math assessments than students in other countries. Preparing students for a successful future in a global society requires schools to integrate effective digital technologies in math classroom curricula.…

Mathematics is a key subject necessary to the promotion of economic development, particularly in developing countries; however, South African learners perform poorly in Mathematics when benchmarked against their counterparts in other countries. One way to address this issue is by taking cognisance of the learners' learning styles when teaching.…

This paper is premised on the fact that math can be an important tool in helping people make sense of the world. Math offers a unique and particular lens, helping people to focus on a range of characteristics from shape and amount to the relationship between the general and the particular. To promote math as a tool for making sense, early…

Learning mathematics is problematic for most primary school age children because mathematics is rote and the memorization of steps rather than an approach to seeing relationships that builds inquiry and understanding. Therefore, the traditional "algorithmic" way of teaching mathematics has not fully prepared students to be critical…

Background: Studies continually show benefits of active learning in college classrooms, yet it is difficult to get faculty to adopt these methods. Particularly challenging is the final step of the instructional change process, "refreezing," when after making initial changes in instructional methods, instructors decide whether to continue…

Scaffolding is the asymmetrical social co-enactment of natural or cultural practice, wherein a more able agent implements or performs for a novice elements of a challenging activity. What the novice may not learn, however, is how the expert's co-enactments support the activity. Granted, in many cultural practices novices need not understand…

Closed captioning of instructional videos is a topic that has not seen much discussion despite its importance for hearing-impaired students and recent legal ramifications if videos are not appropriately captioned. In particular, it is unclear what best practice in captioning videos should be to benefit all learners in disciplines such as…

There are great opportunities and challenges to sharing large-scale mathematics classroom observation data. This Research Commentary describes the methodological opportunities and challenges and provides a specific example from a mathematics education research project to illustrate how the research questions and framework drove observational…