Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Pengelley, David"'
Autor:
Gehrke, Mai, Pengelley, David
We discuss parallels between students and teachers in the process of pedagogical reform. Reform aims for students to develop their own process for becoming independent learners, and to gain personal ownership. Likewise teachers can develop their own
Externí odkaz:
http://arxiv.org/abs/2003.07682
Autor:
Pengelley, David J.
Publikováno v:
In Euler at 300: An Appreciation (editors Robert E. Bradley, Lawrence A. D'Antonio, C. Edward Sandifer), Mathematical Association of America, 2007, pp. 169-190
Leonhard Euler likely developed his summation formula in 1732, and soon used it to estimate the sum of the reciprocal squares to 14 digits --- a value mathematicians had been competing to determine since Leibniz's astonishing discovery that the alter
Externí odkaz:
http://arxiv.org/abs/1912.03527
Autor:
Pengelley, David
Publikováno v:
The College Mathematics Journal 51:1 (2020), 13-24
We describe the evolution of a personal non-lecture active learning pedagogy developed in numerous courses at all university levels. A distinguishing feature is its tight integration of pre-class preparation, involving student reading/writing/questio
Externí odkaz:
http://arxiv.org/abs/1908.02389
Autor:
Pengelley, David, Sinha, Dev
There are compelling reasons to shift our pedagogy toward evidence-based active learning methods that substantially improve student success, and now plenty of resources to aid in that shift. These include the recent CBMS Statement on Active Learning,
Externí odkaz:
http://arxiv.org/abs/1907.12128
Autor:
Pengelley, David
Publikováno v:
The College Mathematics Journal, 2020 Jan 01. 51(1), 13-24.
Externí odkaz:
https://www.jstor.org/stable/48662081
Autor:
Pengelley, David, Ramras, Daniel
Publikováno v:
The Mathematical Intelligencer, 39(1) (2017), 27-40
It has long been known to mathematicians and physicists that while a full rotation in three-dimensional Euclidean space causes tangling, two rotations can be untangled. Formally, an untangling is a based nullhomotopy of the double-twist loop in the s
Externí odkaz:
http://arxiv.org/abs/1610.04680
Autor:
Pengelley, David, Richman, Fred
Publikováno v:
Rep\`eres-IREM 98 (2015), pages 53-64
French translation, by Henri Lombardi and Stefan Neuwirth, of the article "Did Euclid need the Euclidean algorithm to prove unique factorization?", American Mathematical Monthly 113 (2006), pages 196-205.
Externí odkaz:
http://arxiv.org/abs/1503.05611
Autor:
Pengelley, David J, Williams, Frank
Publikováno v:
Geom. Topol. Monogr. 11 (2007) 217-243
We describe bialgebras of lower-indexed algebraic Steenrod operations over the field with p elements, p an odd prime. These go beyond the operations that can act nontrivially in topology, and their duals are closely related to algebras of polynomial
Externí odkaz:
http://arxiv.org/abs/0903.4988
Publikováno v:
Historia Mathematica 37 (2010) 641-692
A study of Sophie Germain's extensive manuscripts on Fermat's Last Theorem calls for a reassessment of her work in number theory. There is much in these manuscripts beyond the single theorem for Case 1 for which she is known from a published footnote
Externí odkaz:
http://arxiv.org/abs/0801.1809