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Direct linkMortici, Cristinel – International Journal of Mathematical Education in Science and Technology, 2011
The aim of this article is to discuss some results about the converse mean value theorem stated by Tong and Braza [J. Tong and P. Braza, "A converse of the mean value theorem", Amer. Math. Monthly 104(10), (1997), pp. 939-942] and Almeida [R. Almeida, "An elementary proof of a converse mean-value theorem", Internat. J. Math. Ed. Sci. Tech. 39(8)…
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Generalization
Mortici, Cristinel – International Journal of Mathematical Education in Science and Technology, 2011
The well-known Stolz-Cesaro lemma is due to the mathematicians Ernesto Cesaro (1859-1906) and Otto Stolz (1842-1905). The aim of this article is to give new forms of Stolz-Cesaro lemma involving the limit [image omitted].
Descriptors: Mathematics Instruction, Mathematical Formulas, Computation, Problem Solving
Mortici, Cristinel – International Journal of Mathematical Education in Science and Technology, 2012
The floor function maps a real number to the largest previous integer. More precisely, floor(x)=[x] is the largest integer not greater than x. The square bracket notation [x] for the floor function was introduced by Gauss in his third proof of quadratic reciprocity in 1808. The floor function is also called the greatest integer or entier (French…
Descriptors: Numbers, Number Concepts, Geometric Concepts, Mathematics Education
