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de Castro, Christopher H. – ProQuest LLC, 2011
This study explored the development of student's conceptual understandings of limit and derivative when utilizing specifically designed computational tools. Fourteen students from a secondary Advanced Placement Calculus AB course learned and explored the limit and derivative concepts from differential calculus using visualization tools in the…
Descriptors: Advanced Placement Programs, Problem Solving, Programming, Mathematical Concepts
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Paz, Tamar; Leron, Uri – Journal for Research in Mathematics Education, 2009
Functions are all around us, disguised as actions on concrete objects. Composition of functions, too, is all around us, because these actions can be performed in succession, the output of one serving as the input for the next. In terms of Gray and Tall's (2001) "embodied objects" or Lakoff and Nunez's (2000) "mathematical idea…
Descriptors: Concept Formation, Mathematics Instruction, Mathematical Concepts, Algebra