The interactive mechanism between social and concept networks is a key question in connectivist learning, which explains the impact of interaction on cognitive development and knowledge generation. The successful practice of "Internet Change Education: Dialogue between Theory and Practice", the first cMOOC in China, provides data support…

Dual-process theories of reasoning suggest that humans reason using two processes often referred to as process 1 (heuristic) and process 2 (analytic). When presented with a situation requiring any sort of reasoning or decision making, process 1 automatically engages and generates an initial mental model to address the situation. Process 2 may or…

Certain aspects of theoretical frameworks in mathematics education can remain unexplained in the literature, hence unnoticed by the readers. It is thus interesting to participate in a dialogue where they can be discussed and compared in terms of the aims, objects studied, results and their relation to teaching. This study is focused on how APOS…

Chemistry is traditionally perceived as difficult to comprehend. Its mastery requires that a variety of concepts be linked to form an organized knowledge system. The connections need to be made not only between the concepts associated with the macroscopic level of the chemistry triplet but also between the submicroscopic and symbolic levels. Many…

Statistical terms are used in everyday language and, at times, used in non-statistical ways. It is often assumed students understand statistical terms because of their common use; however, research into their understanding of specific statistical terms is scant. This report focuses on 58 Year 3 students' responses to the basic question, "What…

Educators' work is a key element in museums' learning experience, yet knowledge about their professional development is still limited. In this study, we followed three science museum educators' professional growth during collaboration with researchers, with special focus on the introduction of research-based frameworks in their practice. To…

Michael Young has argued that pupils should be given access to "powerful knowledge." This article examines the extent to which his concept of powerful knowledge is applicable to geographical education, in particular to the study of urban geography. It explores the distinction Young makes between everyday and school knowledge, how this…

This case study examines the salient features of two individuals' reasoning when confronted with a task concerning the cardinality and associated cardinal number of equinumerous infinite sets. The APOS Theory was used as a framework to interpret their efforts to resolve the "infinite balls paradox" and one of its variants. These cases…

Incorporating Vygotsky's concept formation theory and Berger's appropriation theory, an assessment which highlights authentic operations with the concept of area was designed and administered to 44 sixth grade students to determine what types of understanding they maintained. The results indicated the more novel the situation, the more diverse…

The goal of science education is usually meant to develop students' basic knowledge, skills, and scientific attitudes as stated in many countries' curriculum documents, with little consideration of what backgrounds students bring into the classroom. A cultural approach to education has challenged this universal goal of science education. This…

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…

The theories of Skemp regarding two forms of understanding in mathematics, called relational and instrumental, are discussed. (MP)

A constructionist theory is described that accounts for the knowledge-based inferences that are constructed when readers comprehend narrative text. Distinctive assumptions of the constructionist theory embrace a principle of search (or effort) after meaning. Literature in support of the theory is reviewed. (SLD)

The concept of metacognition is discussed, with a review of attempts at definition. A. Brown's (1987) four historical roots of metacognition--verbal reports as data, executive control, self-regulation, and other-regulation--are summarized. Influence from the developmental theory of L. S. Vygotsky (1978) may result in a clearer conceptualization of…

This paper is concerned with the question of whether and why individuals who know more about a particular knowledge domain acquire domain-related information more readily than individuals who know less about the domain. A conceptual framework is presented that hypothesizes differences in the memory structure of the high-knowledge and low-knowledge…