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Mathematical Thinking and Learning, 2016
ABSTRACTThis article presents an Exponential Growth Learning Trajectory (EGLT), a trajectory identifying and characterizing middle grade students’ initial and developing understanding of exponential growth as a result of an instructional emphasis on covariation. The EGLT explicates students’ thinking and learning over time in relation to a set of tasks
Ellis, Amy B. +4 more
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ABSTRACTThis article presents an Exponential Growth Learning Trajectory (EGLT), a trajectory identifying and characterizing middle grade students’ initial and developing understanding of exponential growth as a result of an instructional emphasis on covariation. The EGLT explicates students’ thinking and learning over time in relation to a set of tasks
Ellis, Amy B. +4 more
openaire +2 more sources
Uniform Growth in Groups of Exponential Growth
Geometriae Dedicata, 2002Let \(\Gamma\) be a group equipped with a finite system of generators \(S\) and with the corresponding word metric. The associated `growth function' is the function, defined on the set of natural numbers, which assigns to each integer \(k\geq 0\) the quantity denoted by \(\beta(\Gamma,S;k)\) which is equal to the number of elements \(\gamma\in\Gamma ...
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