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Mathematics Education, as a disciplinary field for the production of knowledge around the teaching-learning processes of Mathematics, is increasingly consolidated in the international arena.
Bruno D’Amore +1 more
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Of McKay Correspondence, Non-linear Sigma-model and Conformal Field Theory [PDF]
The ubiquitous ADE classification has induced many proposals of often mysterious correspondences both in mathematics and physics. The mathematics side includes quiver theory and the McKay Correspondence which relates finite group representation theory to
He, Yang-Hui, Song, Jun S.
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Investigation of documentation processes of students with low and high level of mathematical literacy: A case study [PDF]
The aim of this study is to analyze and compare the documentation processes of students with low and high mathematical literacy levels. To this aim, a qualitative research design was adopted.
Kübra Ada +3 more
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Active teaching through mathematical problems in primary school
Active teaching is a key component in the education system at all stages of education. In practice, introduction of active teaching in mathematics teaching in primary school poses significant challenges for teachers.
Tamar Dograshvili
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ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement [PDF]
We present the first high order one-step ADER-WENO finite volume scheme with Adaptive Mesh Refinement (AMR) in multiple space dimensions. High order spatial accuracy is obtained through a WENO reconstruction, while a high order one-step time ...
Balsara, Dinshaw S. +3 more
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Numerical Schemes for Fractional Energy Balance Model of Climate Change with Diffusion Effects
This study aims to propose numerical schemes for fractional time discretization of partial differential equations (PDEs). The scheme is comprised of two stages. Using von Neumann stability analysis, we ensure the robustness of the scheme.
Muhammad Shoaib Arif +2 more
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On the fundamental group scheme of rationally chain connected varieties [PDF]
Let $k$ be an algebraically closed field. Chambert-Loir proved that the \'etale fundamental group of a normal rationally chain connected variety over $k$ is finite. We prove that the fundamental group scheme of a normal rationally chain connected variety
Antei, Marco, Biswas, Indranil
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Interdisciplinarity as a pedagogical problem
An emergence of abstract mathematics and philosophy in the VI–IV centuries BC is considered in this article as the third information revolution (IR) associated with the transition of human practice to a higher level of complexity.
Nina M. Malinovskaia
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From the function-sheaf dictionary to quasicharacters of $p$-adic tori [PDF]
We consider the rigid monoidal category of character sheaves on a smooth commutative group scheme $G$ over a finite field $k$ and expand the scope of the function-sheaf dictionary from connected commutative algebraic groups to this setting.
Cunningham, Clifton, Roe, David
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A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem
Variational inequalities are considered the most significant field in applied mathematics and optimization because of their massive and vast applications.
Muhammad Bux +3 more
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