Relating mathematical concepts to graphical representations is a challenging task for students. In this paper, we introduce two visual strategies to qualitatively interpret the divergence of graphical vector field representations. One strategy is based on the graphical interpretation of partial derivatives, while the other is based on the flux…

Vygotsky (in: Rieber, Carton (eds) The collected works of L.S. Vygotsky, vol 1, Pleneum Press, Newyork, pp 167-241, Retrieved from http://images.lib.monash.edu.au/edf5411/04118997.pdf, 1987) stated that academic or scientific concepts require a level of conscious awareness on the part of the child within everyday situations. Academic concepts can…

The phenomenon of insight is frequently characterized by the experience of a sudden and certain solution. Anecdotal accounts suggest that insight frequently occurs after the problem solver has taken some time away from the problem (i.e., incubation). However, the mechanism by which incubation may facilitate insight problem-solving remains unclear.…

This mixed methods study was designed to uncover evidence of change to mental models about organizational systems resulting from participation in a simulation game that is based on a system dynamics model. Thirty participants in a 2 day experiential workshop completed a pretest and posttest to assess learning about particular systems concepts.…

The goal of this study is to investigate the effect of self-generation in inquiry-based learning and to identify the role of feedback. While open-ended inquiry-based learning with a high degree of self-generation requirements has long been considered optimal for facilitating effective learning, its long-run effects have been critically challenged.…

The purpose of this paper is to account for the advancement of questioning in mathematics education. Four sections focus on: (1) Importance of Questioning in Education (a historical perspective of questioning from the 1960s through the 1990s); (2) Cognitive Classification of Questions (Costa's Levels of Thinking, Webb's Depth of Knowledge, and…

Based on the findings of a larger study on middle school students' problem solving behaviors, we identified three sub-components for understanding the iteration of unit area in this paper: the mechanism of iteration, an identical unit, and the specificity of the identical unit. A three-stage progression on the acquisition of these components is…

Comprehensive understanding of complex biological systems necessitates the use of computational models because they facilitate visualisation and interrogation of system dynamics and data-driven analysis. Computational model-based (CMB) activities have demonstrated effectiveness in improving students' understanding and their ability to use and…

This chapter presents the bottlenecks identified by seven faculty members from diverse disciplines and an inductive content analysis of their Decoding interviews. Representative quotations illustrate themes in the interviews and we consider the implications for both faculty development and pedagogical research.

Linguistic and non-linguistic pattern learning have been studied separately, but we argue for a comparative approach. Analogous inductive problems arise in phonological and visual pattern learning. Evidence from three experiments shows that human learners can solve them in analogous ways, and that human performance in both cases can be captured by…

This study tested the hypothesis that exploratory learning, with and without analogous problems, would improve students' ability to make connections between conceptually-related topics. In this randomized experiment, undergraduates in introductory physics (N = 171) studied a new topic under three different instructional conditions. Order and type…

It is proposed that the problem of the mind-brain relationship can be overcome by a non-classical materialistic model of personality based on the information defined as a special form of negentropy with a structure and activity, which in five intra-individual categories, organizes all and each of the levels of the personality, and, in an…

Physics educators today face two major challenges: supporting the acquisition of a solid base of conceptual knowledge and reducing the persisting gender gap. In the present quasi-experimental study, we investigated the potential of physics instruction that is enriched with evidence-based cognitively activating methods, such as inventing with…

Although creativity techniques are highly recommended in working environments, their effects have been scarcely investigated. Two cognitive processes are often considered to foster creative potential and are, therefore, taken as a basis for creativity techniques: knowledge activation and conceptual combination. In this study, both processes were…

Mastering the ability to construct and manipulate Lewis structures is an important first step along the journey to reaching representational competence. Lewis structures serve as a convenient organizational scheme that can help students to scaffold their chemical knowledge and help them to apply it to predict a variety of physical and chemical…