Action-Process-Object-Schema (APOS) theory and tools resulting from dialogue with the Anthropological Theory of the Didactic (ATD) were used to analyse data from semi-structured interviews and teaching materials to study students' understanding of the relationship between tangent planes and the total differential. Results of the study show…

In 2001-2002, the authors of this article interviewed 31 ethno-culturally diverse doctoral students about their experiences in a sociology of education program at a Canadian university. Approximately 10 years later, in a second qualitative study, we had the chance to conduct semi-structured interviews with 13 of the former students to find out…

This paper is concerned with exploring the relationship between perceptions of professional identities, interprofessional education (IPE) and collaborative practice. It seeks to introduce the concept of interprofessional responsibility as both a shift in the way in which to conceptualise the professional identity of Health and Social Care…

There is a growing need for public understanding about groundwater resources. Knowing what groundwater and aquifers are is fundamental to understanding more complex issues such as groundwater quality and availability. However, groundwater and related concepts are among the topics that instructors most struggle to teach. Although constructivist…

While the mathematics education community encourages teachers to support students in developing a more meaningful contextual understanding of algebraic symbols, very little is known about teachers' quantitative understandings of algebraic symbols themselves. The goal of this study was to fill this gap and examine secondary teachers' ability to…

This paper presents an assessment of the understanding of the decimal numeral system in students with Down Syndrome (DS). We followed a methodology based on a descriptive case study involving six students with DS. We used a framework of four constructs (counting, grouping, partitioning and numerical relationships) and five levels of thinking for…

There is a propensity for academics and policy makers in Britain to use the terms integration and inclusion synonymously, possibly resulting in diverse interpretations of the inclusion principles laid out in the new National Curriculum. Much of the research available relating to conceptualisations of inclusion in physical education (PE) is from…

Mathematics education practitioners and researchers have long debated best pedagogical practices for introducing new concepts. Our design-based research project evaluated a heuristic framework, whereby students first develop acontextual sensorimotor schemes and only then extend these schemes to incorporate both concrete narratives (grounding) and…

This longitudinal study examined the role of metaconceptual awareness in the change and the durability of preservice teachers' conceptual understandings over the course of several months. Sixteen preservice early childhood teachers participated in the study. Semi-structured interviews were conducted to reveal the participants' conceptual…

The learning sciences community has made significant progress in understanding how people think and learn about complex systems. But less is known about how people make sense of the quantitative patterns and mathematical formalisms often used to study these systems. In this article, we make a case for attending to and supporting connections…

Proportional relationships and geometric similarity are two of the critical topics in school mathematics. Students and even teachers often struggle with recognizing the proportional relationships in geometric similarity problems. The purpose of this study was to investigate preservice middle-grades mathematics teachers' (PSTs) strategies when…

This study investigates middle school students' concept images of algebraic concepts which are term, constant term, variable, and coefficient. Also, the study aimed to explore their performances in defining these concepts correctly. A phenomenological method was used to support methodological perspective and to reveal the findings of the study.…

The subject of molecular structures is one of the most important and complex subject in chemistry which a majority of the undergraduate students have difficulties to understand its concepts and characteristics correctly. To comprehend the molecular structures and their characteristics the students need to understand related subjects such as Lewis…

This paper presents a study of how preschool-aged children go about creating and operating a simple electric circuit (wires, light bulb, and battery), and how they view the elements that comprise it, particularly how they view the role of the battery. The research involved 108 children aged between five and six, who were individually interviewed.…

Teaching responsive to the needs of students with learning disabilities (LD) can be provided through understanding students' conceptions and their ways of learning. The current research, as a case study based on qualitative design, aimed to investigate the conceptions of students with learning disabilities with regard to the different…