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- W77371311 abstract "Introduction Teaching mathematics in ways that empower students’ mathematical curiosities and understandings requires, among other things, mathematical flexibility and insight on the part of the teacher (NCTM, 2000). Any teacher knows that flexibility is the name of the game when it comes to working within the school environment. For one, daily lessons are often interrupted due to school activities, adverse weather conditions and student behavior. Moreover, the ability to think flexibly about the content is also essential. For example, designing meaningful and challenging classroom tasks requires the teacher to think about which problems/tasks might be accessible to all students while, at the same time, providing opportunities for each student to develop important mathematical insights (Stein, Grover & Henningsen, 1996). Flexibility comes into play again as the teacher monitors the various approaches students take in thinking through a particular problem, which may lead to a number of different mathematical ideas and principles depending on how the teacher interacts with students’ ideas (Ball & Bass, 2003). In general, the ability to interpret a range of student ideas has been shown to be a critical factor in advancing young children’s mathematical conceptions (e.g.; Hill, Rowan, & Ball, 2005; Yackel, 2002, and many others). Following Hill, Rowan & Ball (2005) and Bass (2005), we use the term mathematical knowledge for teaching (MKT) to refer to the mathematical" @default.
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- W77371311 date "2007-01-01" @default.
- W77371311 modified "2023-09-26" @default.
- W77371311 title "MathNerds and Mathematical Knowledge for Teaching" @default.
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