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Nathan, Mitchell J.; Kim, Sunae – Mathematical Thinking and Learning: An International Journal, 2007
Cross-sectional and longitudinal data from students as they advance through the middle school years (grades 6-8) reveal insights into the development of students' pattern generalization abilities. As expected, students show a preference for lower-level tasks such as "reading the data," over more distant predictions and generation of abstractions.…
Descriptors: Curriculum Design, Middle Schools, Graphs, Grade 6
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

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