This paper examines the relation between epistemology and higher education. We shall start by briefly examining three classical texts on the understanding of knowledge at universities, as well as noting some others, and go on to sketch a version of our own. Our argument is as follows: the world is such that the relationship between the university…

Drawing on prior research on indirect proof, this paper reports on a series of exploratory studies that examine the extent to which findings on students' ways of reasoning about contradiction and contraposition characterize students' views of indirect existence proofs. Specifically, Study 1 documents students' comparative selections and selection…

This study compares the effects of object-oriented and robot programming activities on programming achievement, abstraction, problem solving, and motivation. In the study, two consecutive experimental cases were conducted to examine the consistency of findings. The research sample comprises 81 tenth-grade students undergoing vocational secondary…

Systems thinking and abstract thinking are important skills for engineers in general and hardware and software engineers in particular. Systems thinking emphasises the interdependence of system components and their synergy. Abstract thinking permits one to focus on the significant details of the current perspective, while temporarily neglecting…

Generalisation is a key feature of learning algebra, requiring all four proficiency strands of the Australian Curriculum: Mathematics (AC:M): Understanding, Fluency, Problem Solving and Reasoning. From a review of the literature, we propose a learning progression for algebraic generalisation consisting of five levels. Our learning progression is…

Classroom communication is increasingly accepted as multimodal, through the orchestrated use of different semiotic modes, resources, and systems. There is growing interest in examining the meaning-making potential of other modes (e.g., gestural, visual, kinesthetic) beyond the semiotic mode of language, in classroom communication and in student…

The purpose of this study is to investigate a mathematically gifted student's self-regulation behaviours while constructing and consolidating mathematical knowledge. However, the objective is to determine which self-regulation strategies influence this student's mathematical abstraction process. The case study method was used in the research. As…

A good deal of research purports that bilingualism has a positive effect on some aspects of cognitive functioning. However, this effect is not consistent, and little research examines trajectories of cognitive skill development in bilingual children. Moreover, it remains unclear whether different types of bilingualism impact how cognitive…

In this response to commentators, I agree with those who suggested that the distinction between exemplar- and abstraction-based accounts is something of a false dichotomy and therefore move to an abstractions-made-of-exemplars account under which (a) we store all the exemplars that we hear (subject to attention, decay, interference, etc.) but (b)…

The authors argue that Ambridge's radical exemplar account of language cannot clearly explain all syntactic priming evidence, such as inverse preference effects ("greater" priming for less frequent structures), and the contrast between short-lived lexical boost and long-lived abstract priming. Moreover, without recourse to a level of…

We present a framework designed to help categorize various sense making moves, allowing for greater specificity in describing and understanding student reasoning and also in the development of curriculum to support this reasoning. The framework disaggregates between the mechanisms of student reasoning (the cognitive "tool" that they are…

Critical thinking is a core skill within tertiary education, traditionally relying on such principles as logic and truth. Relativistic pedagogical frameworks, such as critical literacy, however, have become increasingly widespread within all levels of education and call into question such principles. In order to ascertain whether critical thinking…

Learning from expository science texts is challenging. These studies explore whether difficulties can be attributed to poor memory or poor reasoning. To eliminate the need for memory during testing, some students took the tests with the texts available. To test for the effects of reasoning on performance, some students were prompted to engage in…

To promote learning and transfer of abstract ideas, contemporary theories advocate that teachers and learners make explicit connections between concrete representations and the abstract ideas they are intended to represent. "Concreteness fading" is a theory of instruction that offers a solution for making these connections. As originally…

This article concerns a lacuna in chemistry students' reasoning about chemical bonding. Although chemistry students are familiar with the charges that make up the atom--both positive and negative--they refer only to the attraction between unlike charges. Specifically, they ignore the repulsion between the positive nuclei. We named this disregard…