In this paper, we explore the role that examples play as mathematicians formulate conjectures, and we describe and exemplify one particular example-related activity that we observed in interviews with thirteen mathematicians. During our interviews, mathematicians productively used examples as they formulated conjectures, particularly by creating…

This study investigated the effects of applying mathematical modeling on revising students' preconception of the process of optimizing area enclosed by a string of a fixed length. A group of 28 high school pre-calculus students were immersed in modeling activity that included direct measurements, data collecting, and formulating algebraic…

Efforts have been underway since 1973 to determine if there are elements of Navajo culture that potentially impact upon a Navajo student's attainment of mathematics concepts. Extensive reading and discussion with Navajo students and educational leaders on the Navajo reservation show that basic concepts and objectives of Navajo philosophy (a quest…