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of 51
pro vyhledávání: '"Jeffrey M. Rabin"'
Autor:
Jeffrey M. Rabin, Adam Burgasser, Thomas J. Bussey, John Eggers, Stanley M. Lo, Sherry Seethaler, Laura Stevens, Haim Weizman
Publikováno v:
International Journal of STEM Education, Vol 8, Iss 1, Pp 1-10 (2021)
Abstract Rate of change concepts from calculus are presented and applied rather differently in college mathematics, physics, biology, and chemistry classes. This is not simply a matter of pedagogical style but reflects real cultural differences betwe
Externí odkaz:
https://doaj.org/article/00e2b7993b1b4c7ba39d7d80fb43f445
Autor:
Jeffrey M. Rabin, David Quarfoot
Publikováno v:
International Journal of Research in Undergraduate Mathematics Education. 8:521-549
The literature on proof by contradiction (PBC) is nearly unanimous in claiming that this proof technique is “more difficult” for students than direct proof, and offers multiple hypotheses as to why this might be the case. To examine this claim an
Autor:
David Quarfoot, Jeffrey M. Rabin
Publikováno v:
International Journal of Research in Undergraduate Mathematics Education. 8:490-520
In mathematics education, the research on proof by contradiction (PBC) often claims that this activity is more difficult for students than direct proof, or simply difficult in general. Many hypotheses have been offered to support or explain this beli
Autor:
Thomas J. Bussey, Sherry Seethaler, Adam J. Burgasser, Laura Stevens, John Eggers, Stanley M. Lo, Jeffrey M. Rabin, Haim Weizman
Publikováno v:
International Journal of STEM Education, Vol 8, Iss 1, Pp 1-10 (2021)
Rate of change concepts from calculus are presented and applied rather differently in college mathematics, physics, biology, and chemistry classes. This is not simply a matter of pedagogical style but reflects real cultural differences between these
Radial expansion preserves hyperbolic convexity and radial contraction preserves spherical convexity
Autor:
Dhruv Kohli, Jeffrey M. Rabin
Publikováno v:
Journal of Geometry. 110
On a flat plane, convexity of a set is preserved by both radial expansion and contraction of the set about any point inside it. Using the Poincar\'e disk model of hyperbolic geometry, we prove that radial expansion of a hyperbolic convex set about a
Autor:
Spencer Bagley, Jeffrey M. Rabin
Publikováno v:
International Journal of Research in Undergraduate Mathematics Education, vol 2, iss 1
In this work, we examine students’ ways of thinking when presented with a novel linear algebra problem. Our intent was to explore how students employ and coordinate three modes of thinking, which we call computational, abstract, and geometric, foll
Autor:
Mitchell Rothstein, Jeffrey M. Rabin
Publikováno v:
Journal of Geometry and Physics. 90:95-103
The principal aim of this paper is to extend Abel's theorem to the setting of complex supermanifolds of dimension 1|q over a finite-dimensional local supercommutative C-algebra. The theorem is proved by establishing a compatibility of Serre duality f
Publikováno v:
Educational Studies in Mathematics. 78:1-19
This paper reports on a study investigating students’ ways of conceptualizing key ideas in linear algebra, with the particular results presented here focusing on student interactions with the notion of subspace. In interviews conducted with eight u
Autor:
Jeffrey M. Rabin, Guershon Harel
Publikováno v:
Canadian Journal of Science, Mathematics and Technology Education. 10:139-159
This article presents case studies of the classroom teaching practices of two algebra teachers. Our data consist of videotaped classroom observations during a single academic year. We identify and characterize specific teaching practices that establi
Autor:
Jeffrey M. Rabin, Mitchell Rothstein
Publikováno v:
Journal of Geometry and Physics. 60:626-636
It is known that to every ( 1 | 1 ) -dimensional supercurve X there is associated a dual supercurve X ˆ , and a superdiagonal Δ ⊂ X × X ˆ . We establish that the categories of D -modules on X , X ˆ and Δ are equivalent. This follows from a mo