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Nathan, Mitchell J.; Koellner, Karen – Mathematical Thinking and Learning: An International Journal, 2007
Algebraic reasoning stands as a formidable gatekeeper for students in their efforts to progress in mathematics and science, and to obtain economic opportunities (Ladson-Billings, 1998; RAND, 2003). Currently, mathematics education research has focused on algebra in order to provide access and opportunities for more students. There is now a growing…
Descriptors: Mathematics Education, Classrooms, Mathematics Teachers, Economic Opportunities

Nathan, Mitchell J.; Koedinger, Kenneth R. – Mathematics Teacher, 2000
Examines teachers' judgments of the difficulties of algebra problems. Offers classroom-tested instructional approaches that build directly on students' mathematical intuitions and inventions. (KHR)
Descriptors: Algebra, Attitudes, Creative Thinking, Elementary Secondary Education
Nathan, Mitchell J. – Wisconsin Center for Education Research (NJ1), 2005
In this paper, I explore two beliefs about learning and teaching that I argue are prevalent among educators. The first is the belief that subject matter expertise is sufficient for success in teaching. The second belief is that to learn a specific content area, one needs to begin with an understanding of the formal structure and abstract…
Descriptors: Curriculum Design, Faculty Development, Educational Policy, Adolescents