Attention to mathematical reasoning in curriculum standards is part of an international trend, but identifying and understanding reasoning continues to challenge teachers. We report on one component of an Australia-wide initiative supporting teachers to implement innovative pedagogies. This paper contains insights from design research that focused…

The formal acceptance of a mathematical proof is based on its logical correctness but, from a cognitive point of view, this form of acceptance is not always naturally associated with the feeling that the proof has necessarily proved the statement. This is the case, in particular, for proof by contradiction in geometry, which can be linked to a…

This article scrutinises one of the mainstream views of how one grows into responsible membership of society; the view based on Jürgen Habermas', Lawrence Kohlberg's and Jean Piaget's theories. Habermas praises Kohlberg's and Piaget's psychological theories and uses them as empirical sources crucial for his theoretical work. We argue that this…

Student understanding regarding topics in upper-division courses, such as biochemistry, is not well represented in the literature. Herein we describe a study that investigated students' reasoning about Michaelis-Menten enzyme kinetics and enzyme inhibition. Our qualitative study involved semistructured interviews with fourteen second-year students…

We expect our students to learn different ways of thinking, such as historical empathy or scientific reasoning, reflection, critical analysis, or clinical reasoning. But how do we discern if they have learned these ways of thinking when thinking is often abstract, tacit and seemingly invisible? In this conceptual and theoretical article, I argue…

This study explores how feature salience and feature centrality influence inductive generalization in 4- and 5-year-old children and adults. Recent reports indicate that enhancing the salience of a feature--specifically, a creature's head--by making it move shifts children's inductions so that they ignore labels and make inferences that are…

Financial literacy and financial capacity of schoolchildren should be developed to meet the requirements of the rapidly developing society and increasingly complicated financial system of the Russian Federation. The authors focused on the financial education of schoolchildren who represent a special target group in financial relations. The main…

Socio-scientific reasoning (SSR) is key to helping students take informed positions around socio-scientific issues (SSI). SSR comprises four competencies: recognising complexity of SSI's, multiple perspectives around SSI's, the need for ongoing inquiry around SSI's, and skepticism around different parties' claims made about SSI's. The Quantitative…

Constructing scientific arguments is an important practice for students because it helps them to make sense of data using scientific knowledge and within the conceptual and experimental boundaries of an investigation. In this study, we used a text mining method called Latent Dirichlet Allocation (LDA) to identify underlying patterns in students…

It has been suggested that due to functional similarity, sortal object individuation might be a primordial form of psychological essentialism. For example, the relative independence of identity judgment from perceived surface features is a characteristic of essentialist reasoning. Also, infants engaging in sortal object individuation pay more…

In the process of problem solving, intuitive thinking leads to findings that go beyond gaps and plays a decisive role in problem solving. Considering that problems often need to be solved in groups rather than by individuals, it is necessary to examine how intuitive thinking expressed by individuals is shared and elaborated among peers in a group…

In this study, we propose an 'Approach to Modeling' (AtM) framework for examining how undergraduates approach tasks that require modelling scientific phenomena. Our framework is adapted from Approach to Learning (AtL) theories and consists of three observable behavioural constructs: metacognition, generative thinking, and causal reasoning. Twenty…

Peirce made repeated attempts to clarify what he understood as abduction or creative reasoning in scientific discoveries. In this article, we draw on past and recent scholarship on Peirce's later accounts of abduction to put a case for how teachers can apply his ideas productively to elicit and guide student creative reasoning in the science…

The digital era has determined a very easy creation and propagation of fake news. As a consequence, it has become harder for people to fight this malicious phenomenon. However, the only weapon that can have results in this informational war is critical thinking. But who should use it? The creators of fake news that do this for different reasons?…

Background: The competencies for the 21st century are defined as a broad and interrelated system of knowledge, skills, values and attitudes enabling the full application of man in personal and professional life. Regarding the science education competencies combining science and scientific knowledge, as well as skills such as inquiry, critical…