This paper aims to revisit and clarify the term problem context and to develop a theoretical classification of the construct of levels of context use (LCU) to analyse how the context of a problem is used to formulate a problem in mathematical terms and to interpret the answer in relation to the context of a given problem. Two criteria and six…

Background: Students' ability to construct and coordinate units has been found to have far-reaching implications for their ability to develop sophisticated understandings of key middle-grade mathematical topics such as fractions, ratios, proportions, and algebra, topics that form the base of understanding for most STEM-related fields. Most of the…

Concept inventory tests are one method to evaluate conceptual understanding and identify possible misconceptions. The multiple-choice question format, offering a choice between a correct selection and common misconceptions, can provide an assessment of students' conceptual understanding in various dimensions. Misconceptions of some engineering…

Visual appearance is one of the main cues children rely on when categorizing novel objects. In 3 studies, testing 128 3-year-olds and 192 5-year-olds, we investigated how various kinds of information may differentially lead children to overlook visual appearance in their categorization decisions across domains. Participants saw novel animals or…

The Vygotsky Blocks Test assesses problem-solving styles within a theoretical framework for the development of higher mental processes devised by Vygotsky. Because both the theory and the associated test situate cognitive development within the child's social and linguistic context, they address conceptual issues around the developmental relation…

Developing mechanisms for predicting human action is a critical task of early conceptual development. Three studies examined whether 4-year-old children (N = 149) use social allegiances to predict behavior, by testing whether they expect the experiences of social partners to influence individual action. After being exposed to a conflict between…

In this study, artificial neural networks are suggested as a model that can be "trained" to yield qualitative results out of a huge amount of categorical data. It can be said that this is a new approach applied in educational qualitative data analysis. In this direction, a cascade-forward back-propagation neural network (CFBPN) model was…

Some curricular elements are threshold concepts that involve "troublesome knowledge," not because they are difficult for students to comprehend per se, but because they are challenging for students to fully appreciate. In this article, we suggest that entrepreneurial failure is a threshold concept in entrepreneurship courses because…

This paper studies conceptions of woodwind students regarding learning and teaching music, within the framework of implicit theories. It analyzes whether there are differences related to participants' instruction level, and whether it is possible to identify profiles according to their conceptions. Sixty-eight students from three different levels…

Problem Statement: Rich stimuli received by sensory organs such as vision, hearing, and touch are important elements that affect an individual's perception, identification, classification, and conceptualization of the external world. In primary education, since students perform conceptual abstraction based upon concrete characteristics, when they…

In 4 word-translation experiments, we examined the different representational frameworks theory (Crutch & Warrington, 2005; 2010) that concrete words are represented primarily by category, whereas abstract words are represented by association. In our experiments, Chinese-English bilingual speakers were presented with an auditory Chinese word…

Determining which dimensions of social classification are culturally significant is a developmental challenge. Some suggest this is accomplished by differentially privileging intrinsic visual cues over nonintrinsic cues (Atran, 1990; Gil-White, 2001), whereas others point to the role of noun labels as more general promoters of kind-based reasoning…

Problem Statement: Difficulties in the learning process usually emerge from the problem of mental representations constructed by students in their interactions with the world. This previous knowledge and these ideas are in contradiction with scientific facts, and are known as misconceptions or alternative ideas. Thus, an analysis of the mental…

The authors present 3 decision-tree models of categorization adapted from T. Trabasso, H. Rollins, and E. Shaughnessy (1971) and use them to provide a quantitative account of categorization response times, choice proportions, and typicality judgments at the individual-participant level. In Experiment 1, the decision-tree models were fit to…

Children's worlds are increasingly populated by intelligent technologies. This has raised a number of questions about the ways in which technology can change children's ideas about important concepts, like what it means to be alive or smart. In this study, we examined the impact of experience with intelligent technologies on children's ideas about…