Creativity and mathematics education: the state of the art

Does the human capacity for mathematical intuition depend on linguistic competence or on visuo-spatial representations? A series of behavioral and brain-imaging experiments provides evidence for both sources. Exact arithmetic is acquired in a language-specific format, transfers poorly to a different language or to novel facts, and recruits networks involved in word-association processes. In contrast, approximate arithmetic shows language independence, relies on a sense of numerical magnitudes, and recruits bilateral areas of the parietal lobes involved in visuo-spatial processing. Mathematical intuition may emerge from the interplay of these brain systems.

Creativity has clear benefits for individuals and society as a whole. Not surprisingly, a great deal of research has focused on creativity, especially in the past 20 years. This chapter reviews the creativity research, first looking to the relevant traits, capacities, influences, and products, and then within disciplinary perspectives on creativity (e.g., biological, cognitive, developmental, organizational). Great headway is being made in creativity research, but more dialogue between perspectives is suggested. New and important areas of research are highlighted, and the various costs and benefits of creativity are discussed.