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Pittalis, Marios; Pitta-Pantazi, Demetra; Christou, Constantinos – Mathematical Thinking and Learning: An International Journal, 2018
The aim of this study was to propose a new conceptualization of early number sense. Six-year-old students' (n = 204) number sense was tracked from the beginning of Grade 1 through the beginning of Grade 2. Data analysis suggested that elementary arithmetic, conventional arithmetic, and algebraic arithmetic contributed to the latent construct early…
Descriptors: Numbers, Arithmetic, Algebra, Elementary School Students
Gauthier, N. – International Journal of Mathematical Education in Science and Technology, 2008
A general method is presented for evaluating the sums of "m"th powers of the integers that can, and that cannot, be represented in the two-element Frobenius problem. Generating functions are introduced and used for that purpose. Explicit formulas for the desired sums are obtained and specific examples are discussed.
Descriptors: Factor Analysis, Problem Solving, Mathematics Instruction, Mathematical Formulas

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