Follow Me Into Math: Near‐Peer Influencers Take the Stage
School Science and Mathematics, EarlyView.ABSTRACT Young people like to be entertained, and to entertain others. What if students were to invest enough of their time and effort into learning topics from our mathematics courses to become experts in the eyes of their peers? In this study we positioned college students and high school students as mathematical performers on the stage in front of ...
Aaron T. Wilson +3 more
wiley +1 more source
Secondary School Mathematics Teachers' Accuracy at Predicting Student Errors
School Science and Mathematics, EarlyView.ABSTRACT We studied changes over time in secondary school mathematics teachers' accuracy in predicting students' errors. In a total of 37 sessions, seven teachers were asked to predict the percentage of students choosing each option in five multiple‐choice diagnostic questions taken from the free website https://diagnosticquestions.com/.
Aidan Stannard, Colin Foster
wiley +1 more source
Where Mathematical Symbols Come From
Topics in Cognitive Science, EarlyView.Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
Compactifications of strata of differentials
Bulletin of the London Mathematical Society, EarlyView.Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source
Geometry Beyond Algebra. the Theorem of Overlapped Polynomials (Top) Andits Application to the Sawa Masayoshi\'s Sangaku Problem. the Adventure Ofsolving a Mathematical Challenge Stated in 1821. [PDF]
, 2018 Jesús Álvarez Lobo
openalex
Geometry Beyond Algebra. The Theorem of Overlapped Polynomials (TOP) and its Application to the Sawa Masayoshiś Sangaku Problem. The Adventure of Solving a Mathematical Challenge Stated in 1821 [PDF]
, 2011 Jesús Álvarez Lobo
openalex +1 more source
Maximal symplectic torus actions
Bulletin of the London Mathematical Society, EarlyView.Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
wiley +1 more source
Geometric and arithmetic characterization of [Formula: see text]-module flatness with applications to tensor products. [PDF]
PLoS OneTang JG, Lei HR, Liu M, Peng JY.
europepmc +1 more source
Explicit constructions of short virtual resolutions of truncations
Bulletin of the London Mathematical Society, EarlyView.Abstract We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition
Lauren Cranton Heller
wiley +1 more source