Results 71 to 80 of about 611 (168)
European Journal of Education, Volume 61, Issue 3, September 2026.ABSTRACT This study examines ChatGPT's potential for identifying and developing teachers' dyscalculia‐related competencies. This study applied an innovative method of teaching experiment combining ChatGPT‐supported sequential teaching sessions and Socratic questioning. The participants consisted of three teachers with varying experiences of dyscalculia
Mustafa Gök, Tuğba Yulet Yilmaz
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Review of Education, Volume 14, Issue 2, August 2026.Abstract This systematic review analyses 32 studies published between 2013 and 2024 on the Mathematics Teacher's Specialised Knowledge (MTSK) model, with the aim of understanding its theoretical development, practical applications and contributions to teacher education in secondary and pre‐university contexts.
Daniel Martín‐Cudero
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AI in chemical engineering: From promise to practice
AIChE Journal, Volume 72, Issue 7, July 2026.Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew +4 more
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More Than Numbers: Unpacking the Language Demands of Secondary Mathematics Word Problems
Journal of Adolescent &Adult Literacy, Volume 70, Issue 1, July/August 2026.ABSTRACT Solving mathematics word problems is a complex task, particularly for emergent bilingual students, who must navigate both mathematical reasoning and substantial linguistic complexity. In this study, we developed a codebook to analyze the linguistic features of 40 math word problems from a 9th‐grade Algebra textbook and identified the frequent ...
Peijuan Cao, Ling Hao
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A relative Poincaré–Birkhoff theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
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Polymer Composites, Volume 47, Issue 12, Page 11300-11318, 20 June 2026.Schematic representation of hemp‐, glass‐, and carbon‐based laminated composite curved beams, including different stacking sequences and their vibration response. ABSTRACT In recent years, increasing environmental awareness has stimulated growing interest in natural fiber‐reinforced composites (NFRCs) due to their eco‐friendly composition ...
Aykut Çetin, Hasan Kurtaran
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Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov
International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon +5 more
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