Natural selection is a central concept throughout biology; however, it is a process frequently misunderstood. Bacterial resistance to antibiotic medications provides a contextual example of the relevance of evolutionary theory and is also commonly misunderstood. While research has shed light on student misconceptions of natural selection, minimal…

The emergence of a proof image is often an important stage in a learner's construction of a proof. In this paper, we introduce, characterize, and exemplify the notion of proof image. We also investigate how proof images emerge. Our approach starts from the learner's efforts to construct a justification without (or before) attempting any…

This study investigates Suhrawardi's epistemological and philosophical point of view in order to analyze and elicit its educational outcomes. His philosophy, which can be called eclectic philosophy (involving intellect and intuition), regularly proposes a different philosophical system with intuitionist outlook. It is the combination of two…

Intuitive knowing is one of the most complex and misunderstood ways of knowing. It is difficult to put into words and verbalize. Intuition is spontaneous, heart-centered, free, adventurous, imaginative, playful, nonsequential, and nonlinear. People access intuitive knowledge through dreams, symbols, artwork, dance, yoga, meditation, contemplation,…

Jean Louis Nicolet is a Swiss teacher of mathematics who found his subject so fascinating that he was puzzled as to why so many pupils could not share this enjoyment in their studies. He came to a conclusion which is now supported by the results of psychological research into the learning process: he suggested that the mind does not spontaneously…