Teachers of mathematics and researchers in mathematics education are recommended to be engaged in a creative endeavor. However, creativity cannot be thought of independent of imagination. This article analyzes the relation between imagination and the philosophy of mathematics. The later concept is inclusively concerned with arguments on whether or…

Friedrich Fröbel is known as the founder of the modern kindergarten and for his development of novel learning materials called Gifts and Occupations. One of the foci of Fröbel's programme was mathematical education, which he addressed and taught through various activities that encouraged the largely implicit transmission of mathematical…

The following paper continues the previous part, and examines the influence of crystallography on Fröbel's conception of mathematics. In this part we focus on yet unpublished material. These unpublished notes of Fröbel underline the visual transfer of drawing and images of crystals, mainly developed by Haüy, which were widespread at the turn of…

We identify a recent trend in school mathematics as well as in some of the research literature in mathematics education: an emphasis on the practical uses of mathematics and an increased emphasis on verbalizations as opposed to numerical and computational skills. With tools provided by John Dewey, an early advocate of contextual and practical…

The new model of Polish education was designed by the Komisja Edukacji Narodowej (KEN). The Commission, established in 1773, was the first ministry of education in Europe. It dealt not only with problems related to the learning-teaching process, but also promoted scientific development. The present analysis is an attempt at examining the process…

Discusses the importance of the early history of Greek mathematics to education and civic life through a study of the Parthenon and dialogues of Plato. "The Parthenon and Liberal Education" seeks to restore the study of mathematics to its original place of prominence in the liberal arts. To build this case, Geoff Lehman and Michael…

Epistemology is a conceptual template for how we think about the world, and the study of how we come to know the world around us. The world does not dictate unequivocally how to interpret it. This article will explore this position on the fluidity of epistemic constructs through two prominent philosophical perspectives, those being derived from…