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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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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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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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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Research on automatic matching of online mathematics courses and design of teaching activities based on multiobjective optimization algorithm [PDF]
The teaching of the optimization algorithm is a new kind of swarm intelligence optimization technique, which is superior in optimizing many simple functions. Still, it is not evident in processing some complex problems (group and teaching classification).
Jiafeng Li, Lixia Cao, Guoliang Zhang
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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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Highway Performance Evaluation Index in Semiarid Climate Region Based on Fuzzy Mathematics
Accurate evaluation and analysis of expressway pavement performance is a prerequisite for determining the pavement design scheme and maintenance scheme.
Sanqiang Yang +5 more
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Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients [PDF]
In this work, we generalize the current theory of strong convergence rates for the backward Euler–Maruyama scheme for highly non-linear stochastic differential equations, which appear in both mathematical finance and bio-mathematics.
Mao, Xuerong, Szpruch, Lukasz
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Multigrid Method for Optimal Control Problem Constrained by Stochastic Stokes Equations with Noise
Optimal control problems governed by stochastic partial differential equations have become an important field in applied mathematics. In this article, we investigate one such important optimization problem, that is, the stochastic Stokes control problem ...
Muhammad Munir Butt
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