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Guasti, M. Fernandez – International Journal of Mathematical Education in Science and Technology, 2005
Three major techniques are employed to calculate [pi]. Namely, (i) the perimeter of polygons inscribed or circumscribed in a circle, (ii) calculus based methods using integral representations of inverse trigonometric functions, and (iii) modular identities derived from the transformation theory of elliptic integrals. This note presents a…
Descriptors: Trigonometry, Calculus, Computation, Geometric Concepts
Osler, Thomas J. – International Journal of Mathematical Education in Science & Technology, 2006
Euler gave a simple method for showing that [zeta](2)=1/1[superscript 2] + 1/2[superscript 2] + 1/3[superscript 2] + ... = [pi][superscript 2]/6. He generalized his method so as to find [zeta](4), [zeta](6), [zeta](8),.... His computations became increasingly more complex as the arguments increased. In this note we show a different generalization…
Descriptors: Mathematics Education, Mathematical Concepts, College Mathematics, Computation
Martinez, Alina; Chase, Anne; Carney, Jennifer; Boulay, Beth; Chawla, Deepika; Layzer, Carolyn; Litin, Lisa; Zotov, Natasha; Goldsmith, Sharon; Haviland, Don – Abt Associates, 2006
In 1998 the National Science Foundation launched the Integrative Graduate Education and Research Traineeship (IGERT) program, a major initiative aimed at Science, Technology, Engineering, and Mathematics (STEM) graduate education. IGERT was developed to meet the challenges of educating U.S. Ph.D. scientists, engineers, and educators with…
Descriptors: Graduate Study, STEM Education, Doctoral Programs, Interdisciplinary Approach
Carney, Jennifer; Chawla, Deepika; Wiley, Autumn; Young, Denise – Abt Associates, 2006
This report summarizes findings from an evaluation of the impacts of the National Science Foundation's (NSF) Integrative Graduate Education and Research Traineeships (IGERT) program. Through support of interdisciplinary graduate education programs in Science, Technology, Engineering, and Mathematics, the IGERT program aims to educate U.S.…
Descriptors: Graduate Study, STEM Education, Interdisciplinary Approach, Program Evaluation

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