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…

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…

In this paper I analyze a problem solving event in a secondary mathematics classroom. As the event unfolds, the teachers, including me, understand the event as involving interactions that were not related to learning. By adopting an expansive view of learning, I advance a different interpretation, that the interactions tell a story of student…

Recently, Gauthier introduced a method to construct solutions to the equations of motion associated with oscillating systems into the mathematics education research literature. In particular, Gauthier's approach involved certain manipulations of the differential equations; and drew on the theory of complex variables.Motivated by the work of…

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…

We live in the challenging times of the 21st-century with the increased need for humans to possess specific skills that will help them to be successful in this era. This means that education should in learners, develop these skills effectively. Different global countries have begun to recognize the significance of multiple solutions tasks in the…

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…

Many educators look to naturalism as a tool to create a new learning environment because they believe that it can produce an innovative and revolutionary method in the educational world. In this paper, I examine an Eastern, Ibn Tufail, and Western, Jean Jacque Rousseau, romantic naturalist philosophy. I find a remarkable similarity between their…

The article analyzes contrasting theories about the role of emotion in learning proposed by Alfred North Whitehead and Jerome Bruner. I argue that Whitehead's account of experience and emotion in his educational philosophy is best understood in the context of the philosophy of organism. Here he takes issue with the empiricists' view that sensa are…

This conceptual paper proposes a model to describe the quality of student dialogue during participative collaborative problem solving. Drawing on the participation metaphor of learning, we argue that the construct of mathematical sophistication is useful to describe the quality. We then present two frameworks, mathematical competencies and…

The article presents a theoretical elaboration of the potential relationship between the academic and artistic approaches within a problem-based educational setting. The investigation is based on Koestler's idea of the "bisociation" (blending) of dissimilar thinking and action matrices as the foundational mechanism of human creation in…

Moving into the 21st century, the landscape of the traditional higher education institution has changed, including its model of conducting business. Students in the millennial generation see higher education as a commodity, where learning can be acquired through different delivery systems. It is imperative that organizational leaders, like those…

The author suggests the brain's cerebellum and cerebral cortex are the origin of culture and considers the cerebellar models that came to constitute culture to be derived specifically from play. He summarizes recent research on the behavioral, cognitive, and affective evolution of the cerebellum and the cerebral cortex that shows the development…

This paper offers specific implications for teaching and learning and brings into conversation ideas from ethnomathematics (including Western mathematics), postcolonial theory, aesthetics, biology, and Indigenous knowledge in order to propose a new vision for practicing mathematics, what I call mathematx. I build upon the work of sustainability in…

Indigenous Studies can be both exciting and challenging for teachers and students. This article will examine how an existing learning theory can be harnessed to help teachers better understand these challenges and manage some frequently seen student behaviours. Much of the discussion in Indigenous Studies pedagogy to date has focused on the…