Knowing functions and functional thinking have recently moved from just knowledge for older students to incorporating younger students, and functional thinking has been identified as one of the core competencies for algebra. Although it is significant for mathematical understanding, there is no unified view of functional thinking and how different…

This full paper considers how collaborative discourse can reveal ways upper-class engineering students mechanically reason about engineering concepts. Argumentation and negotiation during collaborative, multimodal discourse using speech and gestures helps establish common ground between learners and fosters reflection on their conceptual…

This qualitative case study investigated how computational models can help students engage in scientific practice and influence their emotional, epistemic, and conceptual aspects. Twenty-four sixth-graders were guided to conduct scientific practices as they predicted and modified the computational models on food web using StarLogo Nova. Three…

Understanding reaction mechanisms is integral to success in organic chemistry; however, prior research suggests that learners struggle with recognizing the importance of underlying implicit features in reaction mechanisms. Because of this struggle, understanding how learners' reason about reaction mechanisms and developing assessments to elicit…

A widespread call has been made to develop and support more integrated approaches to STEM education. The first law of thermodynamics serves as a guiding principle for the crosscutting concept of energy and matter. A qualitative interview study was undertaken to support integrated approaches to STEM education by exploring how chemistry, physics,…

The purpose of this article is to show how the philosophical theory of inferentialism can be used to understand students' conceptual development in the field of mathematics. Based on the works of philosophers such as Robert Brandom, an epistemological theory in mathematics education is presented that offers the opportunity to trace students'…

An inequality concept has an important role; even in advanced mathematics, inequality assists in analysis and proof. However, students' understanding of inequality is not satisfying. The fact shows that students experience difficulties and errors in solving inequality problems. These difficulties and errors are not intentional or do not result…

This article focuses on students' discursive moves and reasoning practices while engaged in a task that requires making explanatory links between sickle cell disease and malaria. Both diseases pertain to key areas of the biology curriculum, namely, genetic variability and natural selection, and are connected to the theory of evolution of living…

Organic chemistry education is one of the youngest research areas among all chemistry related research efforts, and its published scholarly work has become vibrant and diverse over the last 15 years. Research on problem-solving behavior, students' use of the arrow-pushing formalism, the investigation of students' conceptual knowledge and…

Classroom readiness and the attendant theory-practice disjunction remains a key concern of policy makers, stakeholders and graduate teachers themselves. Links between the theoretical knowledge that preservice teachers gain during initial teacher education (ITE) courses and the practical learning of their school placements need to be strengthened…

The purpose of this dissertation is to study students' competencies in generating scientific explanations within the domain of complex systems, an interdisciplinary area in which students tend to have difficulties. While considering students' developing explanations of how complex systems work, I investigate the role of prior knowledge…

In epistemologies of both scientific and common sense thinking "objectification" characterizes the formation of knowledge and concepts, yet in each case its meaning is different. In the former, objectification in acquiring knowledge refers to the individual's rationalistic reification of an object or of another person and to disengagement or…

The study reported was part of a large thinking skills intervention for 11-12-year-old children. This paper focuses on the impact of a thinking skills intervention on children's understandings of intelligence. A total of 178 children (n = 86 girls and n= 92 boys) across six schools participated in the study. Children were individually pre-tested…

This paper outlines a theoretical paradigm for distinguishing thinking, knowing and believing. A new taxonomy is presented for categorizing levels of knowing and outlines a structure of justification for each level. The paper discusses and explains the importance of such distinctions in decision making and thinking in general.

In this essay Samuel Rocha primarily addresses, and challenges, the modern conception of reason and the lowly place of intuition, feeling, and love in what has become traditional philosophy and education. Drawing upon the rich thought of William James and Jean-Luc Marion, Rocha introduces the reader to a certain harmony between their ideas, most…