This paper describes how the notion of the strongly didactic contract can serve to characterize the teaching adopted to implement a task in probability. It is particularly focused on the reality of mathematical work performed by students and teachers. For this research, classroom sessions were developed in an in-service teacher training course…

There are two main approaches to how statistical patterns are extracted from sequences: The transitional probability approach proposes that statistical learning occurs through the computation of probabilities between items in a sequence. The chunking approach, including models such as PARSER and TRACX, proposes that units are extracted as chunks.…

Researchers agree that both domain-general skills and domain-specific skills contribute to mathematics knowledge, but questions arise as to which skills can and should be trained to improve children's learning outcomes. In this article, we synthesize research on training three domain-general constructs in early childhood (patterning skills,…

To inform the relationships among interaction patterns, social capital accumulation, and learning benefits, based on 29,056 log data from a cMOOC (Connectivist Massive Open Online Course) in China, this study examined the difference in social capital accumulation and content production among different interaction patterns using cluster analysis,…

This report provides an overview of neuroscience research that is applicable for science educators. It first offers a brief analysis of empirical studies in educational neuroscience literature, followed by six science concept learning constructs based on the whole brain theory: gaining an understanding of brain function; pattern recognition and…

The present work has its focus on university-level engineering education students that do not intend to major in computer science but still have to take a mandatory programming course. Phenomenography and variation theory are applied to empirical data from a study of students' conceptions of computer programming. A phenomenographic outcome space…

This paper is a theoretical discussion of several functions of knowledge systems based on the idea of partial matching, that is, comparison of two or more descriptions by identification of their similarities. Several knowledge system functions are described in terms of partial or best matchings including analogical reasoning, inductive inference,…

Five-year-olds learned to associate three- or four-letter abbreviations, or cues, with spoken words, in which one of the letters in the cue corresponded to a phoneme that was articulated similarly or dissimilarly. Children found the phonetic cues easier to learn than control cues, suggesting that children are sensitive to the phonological and…

Implications are discussed for new instrument development by way of a methodological study which used a task allowing one to focus upon: (1) a non-verbal approach; (2) memory functions; (3) a variety of mnemonics that children use in information retrieval; and (4) a non-traditional procedure supported by psychological and developmental research. A…

Research was conducted investigating properties of skill in learning, in the domain of elementary algebra. Thinking-aloud protocols indicate that early knowledge of the subjects studied was fragmentary, rather than involving systematically flawed procedures. Computational models, developed to simulate observed errors, focused on the role of…