This study focuses on the problem of 'teachers' teaching' and 'students' learning' in college education courses. It aims to introduce the Deep Learning theory into the teaching of ideological and political theory courses in universities; deepen the theoretical framework of education courses and the associated learning, maintenance, promotion, and…

In agreement with the main tenets of the anthropological theory of the didactic (ATD), this study uncovers dependencies between what students can learn, the established curriculum and the current state of mathematicians' mathematics ('scholarly mathematics'). One main result is that the mathematics taught, too often taken for granted by curriculum…

Research shows that teachers and educators struggle to act when conflict appears in the classroom. This article argues that (political) conflict should not be avoided or eradicated. Teachers should enable conflict and attend to their pupils in the process, in order to enable further understanding of each other and their differences, as part of…

Since Bruner's introduction of discovery learning in the 1960s, there has been an ongoing and intensive debate on the value of inductive teaching methods (e.g., problem-solving followed by instruction, such as in problem-based learning and productive failure) compared to deductive teaching methods (instruction followed by problem-solving, such as…

The Learner's Perspective Study (LPS) offers an extremely rich source of data for analyses of classroom situations. In this paper we focus on events in mathematics classrooms through the lens of the Theory of Didactical Situations in Mathematics, namely, on the situation of institutionalization. During the phase of institutionalization, the…

This study explored the effects of a professional development (PD) on neuroeducation general pedagogical knowledge and instructional strategies for three cohorts of in-service teachers on their teaching self-efficacy beliefs. Teacher self-efficacy is one of the most influential factors for teaching practices, student outcomes, and teacher…

The aim of this study is to explore the possibility of introducing the general notions of function and inverse function through a mathematical activity on linear functions, focusing on the quantitative meaning associated to the connection between a relation and its inverse. We present a genetic decomposition, that is, a viable cognitive path for…

The Cognitive Acceleration (or Let's Think) approach to mathematics teaching is a Piagetian programme drawing on Vygotsky's research, developed at King's College London over 30 years ago, along with its associated professional development (PD) programme. This project sought to replicate the original studies conducted 10-15 years earlier and before…

This paper compares Revised Bloom's Taxonomy (RBT) and some of the major theories and frameworks that influence the teaching, learning, and assessment of mathematics. This comparison has been made to help students and researchers make decisions about which of the available theories and frameworks might best suit their study. The comparison…

This design research aims to propose a HyFlex strategy for students and participants in the workplace using massive open online course (MOOC) flipped between the two settings, an active in-classroom to an action learning in the workplace. The research methods were designed into two major parts, where the first part was a design stage which…

Despite decades of research on the global mind-set concept, no cohesive framework has emerged through which this way-of-thinking can be developed in learners, leading some to perceive the global mind-set as elusive. To move the literature forward, I propose a theory-driven pedagogy which combines insights from the extant global mind-set literature…

Historically, police educators delivering academy programs have overused traditional or teacher-centred methods as part of an authority driven command and control culture. In addition to being educationally unsound, this teaching approach has limited the development of the critical thinking skills needed for effective reform in the community…

This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…

In this paper duality between real world phenomenon and mathematics will be discussed. This duality exists for many years which considerably remarked in the history of mathematics curriculum. One of the good potential for filling the gap between real world phenomenon and mathematical ideas would be modelling tasks which require performing the…

This paper aims to characterise an indicator of the development of the number sequence scheme among students at the level of Compulsory Secondary Education (14-16 years old students). To do so, we use a scheme development proposed by the APOS theory to characterise students' use of relations between mathematical elements when solving a…