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Arithmetic Facts without Meaning
Cortex, 1997The paper presents a single-case study of patient J.G. showing severe calculation problems (and also agraphia, finger agnosia, right-left disorientation and apraxia) after the surgery of a left parietal tumor. Although the patient completely lost conceptual knowledge of arithmetic, she preserved part of memorised fact knowledge (multiplications and ...
M, Delazer, T, Benke
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Visualizing the Arithmetic Mean
Mathematics Teacher: Learning and Teaching PK-12, 2021The two provided activities are geared for students in middle school to facilitate and deepen their understanding of the arithmetic mean. Through these activities, students analyze visual representations and use a special type of statistical thinking called transnumerative thinking.
Michael Daiga, Shannon Driskell
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Arithmetic mean as a linear combination of two quasi-arithmetic means
Publicationes Mathematicae Debrecen, 2002Under twice continuous differentiability assumptions on the generator functions \(f\) and \(g\), the authors determine all two variable quasi-arithmetic means \(M^{[f]}\), \(M^{[g]}\) and all real numbers \(\lambda\) and \(\mu\) such that \[ \lambda M^{[f]}+\mu M^{[g]}=A, \] where \(A\) denotes the two variable arithmetic mean.
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There are so many meanings in arithmetic that the only difficulty in writing on this subject is one of selection. The following ideas are miscellaneous rather than organized.
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