Building on student mathematical thinking in whole-class discourse: exploring teachers’ in-the-moment decision-making, interpretation, and underlying conceptions

Autor: Chris Kooloos, Saskia van Boven, Gert Heckman, Rainer Kaenders, Helma Oolbekkink-Marchand

Publikováno v: Journal of Mathematics Teacher Education, 25, 453-477
Journal of Mathematics Teacher Education, 25, 4, pp. 453-477

Often, mathematics teachers do not incorporate whole-class discourse of students’ various ideas and solution methods into their teaching practice. Particularly complex is the in-the-moment decision-making that is necessary to build on students’ t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b47bc2c033b70388fc54c98ef55e2f3
https://doi.org/10.1007/s10857-021-09499-z

Variations of Weyl's tube formula

Autor: Gert Heckman, Annegret Y. Burtscher

Publikováno v: The Journal of Geometric Analysis, 31, pp. 11952-11970
The Journal of Geometric Analysis, 31, 11952-11970

In 1939 Weyl showed that the volume of spherical tubes around compact submanifolds M of Euclidean space depends solely on the induced Riemannian metric on M. Can this intrinsic nature of the tube volume be preserved for tubes with more general cross

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95cce3985a629312fc590732ec3dcbf5

Matrix valued orthogonal polynomials for Gelfand pairs of rank one

Autor: M.L.A. van Pruijssen, Gert Heckman

Publikováno v: Tohoku Mathematical Journal, 68, 407-437
Tohoku Mathematical Journal, 68, 3, pp. 407-437
Tohoku Math. J. (2) 68, no. 3 (2016), 407-437

In this paper we study matrix valued orthogonal polynomials of one variable associated with a compact connected Gelfand pair (G,K) of rank one, as a generalization of earlier work by Koornwinder and subsequently by Koelink, van Pruijssen and Roman fo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::971a1cbdf2b262c3f70c754ea804a1d1
https://doi.org/10.2748/tmj/1474652266

Geometry and Arithmetic around Hypergeometric Functions

Autor: Masaaki Yoshida, Gert Heckman, Jürgen Wolfart

Publikováno v: Oberwolfach Reports. :2557-2620

Hypergeometric functions form a classical subject of Mathematics providing an interesting link between apparently quite different fields of research like differential equations, group theory, differential geometry, physics, computational mathematics,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::085646f854b77797232edc9ae39e60d1
https://doi.org/10.4171/owr/2008/45

Geometric structures on the complement of a projective arrangement

Autor: Eduard Looijenga, Wim Couwenberg, Gert Heckman

Publikováno v: Publications mathématiques de l'IHÉS, 101, 69. Institut des Hautes Études Scientifiques
Publications Mathématiques de Ihes, 101, 101, pp. 69-161
Publications Mathématiques de Ihes, 101, 69-161

Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (=a finite union of hyperplanes) whose Levi-Civita connection is of Dunkl type--interesti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c50c442a8fe17721c1ffaa93bc1f8f3c
https://hdl.handle.net/2066/32556