The cases included images such as x-rays, cat scans, Picasso’s paintings and Pac-Man’s maze. To engage the students in new ways of thinking, Valentine created a website where she developed a series of cases as alternative perspective. What happens when we take that as being real instead of a representation of something real is that we inadvertently teach our students that discrete notions of space are closer to truth than their lived experiences of naturally continuous space.” “To do this, we create disciplines like set theory, representing the dynamic and infinite with static and fixed terms. “As mathematicians, we need ways to comprehend abstract phenomena characterizing our complex world,” Valentine said. Valentine recently published an article in the Journal for Research in Mathematics Education that describes how students engaged with geometry lessons that challenged their notions of traditional geometry. Instead, mathematics educators focus on basic points of knowledge, and the geometric concepts students learn do not reflect the world around them. Newswise - Earth is a round planet where flat surfaces and perfect shapes are scarce, but assignments in many geometry courses are completed on grid paper with simplified line segments and symmetrical polygons.Īccording to Keri Valentine, associate professor of mathematics education in the West Virginia University College of Education and Human Services, lived experiences of space are not typically incorporated into geometry classrooms.
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