In their recent article on teachers' proportional reasoning, Copur-Gencturk et al. (2022) draw attention to a type of strategy that they call "relative", lodged right between additive and multiplicative thinking. This strategy raised interest in our research team, as it aligned well and helped give stronger meaning to some strategies…

The use of analogies is a well-known teaching strategy to bridge unfamiliar and familiar concepts. However, analogies may become ineffective if the familiar concept is not familiar anymore. For example, this may occur when we describe rotational sense as clockwise and counterclockwise, assuming students know how to read a clock with hour and…

In discussions about how to best foster principle-based cognitive skills, there are typically two points of dissent among researchers in the field of learning and instruction: First, should information be provided, as typical of direct instruction, or should this information be generated by the students, as typical of guided discovery or inquiry…

This paper presents protests from academically successful students who privately conveyed to the researchers their feelings of personal discontent with schools. The criterion to select this "sample" was that these students, dissatisfied with school but having good marks, would reveal what others, academically less successful, could not…

In recent years computer algebra systems (CAS) have become an integrated part of the upper secondary school mathematics program. Despite the many positive possibilities of CAS, there also seems to be a flip side of the coin in relation to actual difficulties in learning mathematics, not least because a strong dependence on CAS for mathematical…

Though research on effective instruction in math word problem solving is prominent at the middle and secondary levels, much less work has been done in elementary grades. In this article, we review the research on varied problem-solving instructional interventions at the third-grade level for students across ability levels. Third grade was chosen…

In a previous study, Puk and Stibbards (2010) demonstrated that a cohort of teacher candidates entering into an ecological literacy, Bachelor of Education program had very immature understanding of complex ecological concepts. Specifically, written definitions were either absent entirely, very vague, or missing essential criterial attributes, as…

The authors address three questions: (1) What are the foundational practices of team-based learning (TBL)? (2) What are the fundamental principles underlying TBL's foundational practices? and (3) In what ways are TBL's foundational practices similar to and/or different from the practices employed by problem-based learning (PBL) and…

Early career university teachers often have limited experience of the higher education literature making it difficult for them to identify what ideas have become central to justifying what university teachers ought to be doing in higher education teaching and learning. A review of the research literature in journals focused on teaching and…

The purpose of this article is to provide a comprehensive review of the published research-based strategies used in content area instruction for students with autism spectrum disorders (ASD). Twenty-eight (N = 28) studies published from 2000-2012 that met the criteria for inclusion were located, reviewed, and synthesized. Findings revealed the…

A student's conceptual learning is facilitated by a harmonious method of learning. In teacher-directed strategy lessons, there is little guarantee that a method permits students to reach an "ideal" understanding. In the investigative classroom, the learning experience is rigidly structured, leaving students the unenviable responsibility to…

Categorization in well-known natural concepts is studied using a special version of the Varying Abstraction Framework (Vanpaemel, W., & Storms, G. (2006). A varying abstraction framework for categorization. Manuscript submitted for publication; Vanpaemel, W., Storms, G., & Ons, B. (2005). A varying abstraction model for categorization. In B. Bara,…

In spite of the expectations that exist regarding efforts to develop competence and in spite of the large amounts of resources devoted to it, there is a marked lack of empirically-based research on competence development in companies and other organizations. The purpose of this article is to present a review of research on strategies for…

This paper examines how body movement within the frames of Dalcroze Eurhythmics can facilitate musical knowing. Merleau-Ponty's philosophical ideas seem to correspond with the specific empirical findings of Jaques-Dalcroze. Hence, our viewpoint is based on Merleau-Ponty's notions of "knowing the world through the body" as well as of…

Two experiments investigating the benefit of computer-based applications in geography education are presented. The computer-based methods employ concepts of visualization, including animation and interactivity, to facilitate active learning. These computer-based methods are compared with physical (i.e. tangible) models, which themselves can be…