This paper reports on one part of a large study which attempted to identify the linguistic and hierarchical characteristics of van Hiele theory amongst grade 10 learners. The sample consisted of a total of 359 participants from five purposively selected schools from Mthatha District in the Eastern Cape Province of South Africa. The performance of…

The aim of this article is to contribute to the understanding and use of the theory of communities of practice. In order to clarify terms, explore applications for education and reflect on various critiques of the theory in the literature, two educational researchers conducted a series of interviews with the theorist Etienne Wenger-Trayner. The…

Our study concerns the conceptual mathematical knowledge that emerges during the resolution of tasks on the equivalence of polynomial and rational algebraic expressions, by using CAS and paper-and-pencil techniques. The theoretical framework we adopt is the Anthropological Theory of Didactics ("Chevallard" 19:221-266, 1999), in…

Background and purpose: The purpose of this study was to investigate and identify the nature and the interrelatedness of pre-service teachers' misconceptions and scientific concepts for explaining dissolving before, during, and after a 5E learning cycle lesson on dissolving, the intervention. Sample, design, and methods: Guided by Vygotsky's…

Framed within a Sociocultural Theory of Mind (SCT) in the field of Second Language Acquisition (Lantolf & Thorne, 2006), this dissertation explores the role of verbalizing in the internalization of grammatical categories through the use of Concept-based Instruction (henceforth CBI) in the second language (L2) classroom. Using Vygotsky's…

This research is a high-resolution analysis of grade 6 (ages 11-12) children's interview transcripts about the operation of power stations, before and after teaching. The focus of the study was on how children's conceptual development is built at a discursive level, namely how language is used to express changes in their thoughts. The theoretical…

Radical constructivists advocate discovery-based pedagogical regimes that enable students to incrementally and continuously adapt their cognitive structures to the instrumented cultural environment. Some sociocultural theorists, however, maintain that learning implies discontinuity in conceptual development, because novices must appropriate expert…

In order to develop successful teaching approaches to transformations of matter, we need to know more about how young students develop an understanding of these processes. In this longitudinal study, we followed 25 students from 7 to 13 years of age in their reasoning about transformations of matter. The questions addressed included how the…

The developmental psychology of mathematical thinking and the clinical interview method can make major contributions to education by transforming the process of formative assessment--the attempt to use information concerning student performance, knowledge, learning potential, and motivation to inform instruction. The clinical interview is a…

The aim of this study is to describe and analyze students' levels of understanding of exponents within the context of procedural and conceptual learning via the conceptual change and prototypes' theory. The study was conducted with 202 secondary school students with the use of a questionnaire and semi-structured interviews. The results suggest…

Argues that much of the conceptual-change literature does not study change per se, but infers, often from interviews, changes in students' conceptions and discourse during learning. Concludes that what is needed are descriptions of learning trajectories. Contains 17 references. (DDR)

The development of the concept of matter was explored in children aged 3-13. Eighty four children were asked to classify four sets of objects and matter and to explain their classifications during interviews. Younger children tended to classify using a mixture of extensive properties (properties of objects) and intensive properties (properties of…

Studied effectiveness of teaching conservation of chemical identity, composition, and mass to 12 boys and 11 girls of ages ranging from 11.11 to 12.10, using techniques analogous to Piaget's. Indicated the necessity of course re-examination to facilitate attainment of conservation concepts. (CC)

Documents the patterns of coherence and persistence in energy conceptions. Describes the derivation of the Interview Vee technique and the procedure for putting an interview on the Vee. Discusses the production of Vee maps to help understand childrens' learning of concepts. (CW)

Reviews recent research in the area of mathematical understanding and compares and contrasts it with a model formulated for the growth of understanding. Uses the analysis of a transcript from an interview with an eight-year-old boy to illustrate the power of the model to describe and map the growth of his mathematical understanding. (18…