Why do some pupils seem to thrive in maths while others struggle to access the same lesson?Jon and Becky discuss the latest PISA findings and the widening gap between higher and lower attainers, before exploring what that looks like in real primary classrooms. They talk about teaching for mastery, adaptive teaching, pre-teaching, the pressures of a packed timetable and why taking time to simply observe pupils can be so valuable.With place value being taught in classrooms everywhere at this point in

arXiv math.RTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-18/Tachikawa's second conjecture implies the Auslander-Reiten conjectureThe Arthur-Packet Support Equality for Real Reductive GroupsOn the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G_2}$A Comparison Theorem for Parahoric Character SheavesA refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categoriesUnitary Branching for $\mathfrak{sl}(m\vert n),

arXiv math.AGの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-18/The Drinfeld associator and $A_\infty$ functorsBalancedness of Normal Bundles of Rational Curves in GrassmanniansA Quadratically Enriched Pushforward for Deligne--Mumford StacksHypersurfaces containing involutive cones in projective symplectic spacesMicrolocal perverse schobers and Radon transformChow Vanishing and Motives of Cluster VarietiesThe Bernstein-Sato Polynomial of the Hankel

Budgeting for a new website in 2026 means navigating a landscape that AI has genuinely disrupted — but not in the way most people assume. This episode of DEV.co examines the real breakdown of website design costs in 2026, separating the hype from the concrete shifts that affect what you should actually plan to spend. Spoiler: the total budget doesn't disappear. It redistributes.Here's what the episode covers: Baseline costs haven't collapsed. A professional informational site still

Academia on the Line is a podcast where two mathematicians talk with academics about mathematics, STEM, and higher education. Episode Summary: Two weeks ago, on Labor Day, NYU mathematician Tristan Buckmaster posted three preprints and a statement detailing some troubling interactions with OpenAI and a need to rush to get his results out with collaborator Levent Alpöge (who works for Anthropic). The next day, OpenAI announced a solution to the Navier-Stokes Millennium prize problem. The...

arXiv math.NTの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-21/On permutation-invariant construction of glued latticesExtreme value laws for intrinsic Diophantine approximation on spheresEigenvectors of $p$-Curvature for Geometric Difference EquationsGalois deformation rings and modularity in the residually reducible caseOn The Cyclicity of Algebraic LatticesThe large sieve for square moduli under Hooley's hypothesis $R^*$Annular Frobenius Classification of

arXiv math.RAの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-09-21/Just-Infinite Loops and Loop AlgebrasA classification of group gradings on incidence algebras over commutative ringsLocal and Quasi Derivations of the Mirror Heisenberg-Virasoro AlgebraNoncommutative resolutions of noncommutative isolated singularitiesSuper adaptable graphs and the realization problemStructure and Representations of Restricted Lie color triple systemsRestricted (Relative)

arXiv math.ACの新着論文2本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-21/A one-dimensional coherent domain with non-Pr\"ufer integral closureClassification of Tor algebras for rings from general points by Waring Rank

Number of the Day - "15"This podcast is produced by Klassic Studios. Check out our other podcasts there! Sources Number sequence definitions come from the On-Line Encyclopedia of Integer Sequences (OEIS). Historical material is adapted from Wikipedia, used under the Creative Commons Attribution-ShareAlike licence. Minor planet details come from the NASA/JPL Small-Body Database. Learn more about your ad choices. Visit megaphone.fm/adchoices

Neste episódio do Estatística com H, vamos desvendar a Resolução 886/66 do IBGE de forma super simples, prática e sem termos difíceis. Vais perceber o motivo real por trás da criação deste critério de arredondamento e como uma regra simples — a Regra do Algarismo Par— impede que os dados fiquem distorcidos ou "viciados" para cima.Vem entender como o número 5 trabalha nos bastidores para manter o equilíbrio perfeito na ciência, na economia e nos grandes censos que moldam o nosso mundo!

Recent data from the James Webb Space Telescope has revealed a massive stellar cavity at the center of the galaxy Abell 402-BCG, spanning roughly 3,200 light-years across. While astronomers previously believed this void was merely a cloud of cosmic dust, infrared observations confirmed the area is actually a dead zone missing two billion stars. This phenomenon is caused by an ultramassive binary black hole system with a combined mass 60 billion times that of our sun. Through a process called ...

arXiv math.RTの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-17/Generalized conformal modules over the Virasoro conformal algebraSupport $\tau$-tilting modules over Morita context algebras: A bilateral approximation approachSymmetry breaking differential operators and Discrete SeriesMonodromy Eigenvectors for Difference Equations with Root-of-Unity StepVacuum Structure of Maximally Supersymmetric Two-Dimensional Gauge TheoriesOn the singularities and the Kodaira

arXiv math.AGの新着論文31本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-17/Transitive automorphism groups of maximal curvesXiao's Genus-Two Fibration: Branched Covers and Braid MonodromyBicomplex Characteristic ClassesHodge integrals on admissible covers and tautological projections of Prym classesOn Logarithmic Donaldson-Thomas invariants for local Calabi-Yau $4$-foldsAn elementary way to find a counterexample to the Jacobian ConjectureGeometry of three--generated ideals

Send us Fan Mail Jatkoa osalle 1! Tällä kertaa Julia Ilmo ja Janne Rilla kulkevat antiikista kohti nykypäivää. Siis vain kuulokkeet korville ja opit hissasta talteen!

Number of the Day - "14" This podcast is produced by Klassic Studios. Check out our other podcasts there! Sources Number sequence definitions come from the On-Line Encyclopedia of Integer Sequences (OEIS). Historical material is adapted from Wikipedia, used under the Creative Commons Attribution-ShareAlike licence. Minor planet details come from the NASA/JPL Small-Body Database. Learn more about your ad choices. Visit megaphone.fm/adchoices

Modern AI performance is currently hampered by the "memory wall," a bottleneck where processors waste energy and time waiting for data to travel from separate storage. To solve this, researchers and startups are exploring "architectures of permanence," which involve physically etching large language model weights directly into the silicon of a microchip. This hardwiring process eliminates traditional memory fetches, allowing for specialized processors like the HC1 to reach speeds of 17,000 to...

Claude now leads twenty-six percent of Anthropic's own research and development, running thirty thousand agents at once. That same model helped security researchers break into a rival's private source code. More access, more risk. We go through how Anthropic screens a billion actions a month, how a forum bug reached a real pull request in OpenAI's code, and why a coding agent's wrapper can cost five times more for the same result. Get full access to The AI Practitioner at

arXiv math.RTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-16/Loop spaces, twistor $\mathbb P^1$ and tempiric parametersFunctions on Nilpotent Orbit Covers and Birational GeometryA tensor square theorem for characters of $\operatorname{GL}_{n}(q)$The Mathieu Property for Compact Connected Lie GroupsLocal Langlands functoriality for Yu's supercuspidals I: Kaletha's parametrizationLocal Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's

arXiv math.AGの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-09-16/Schottky versus super Schottky in genus 4On the Super-Schottky Ideal and Powers of the Classical Schottky Ideal for $g \geq 5$Filtrations on Local Cohomology and Injectivity TheoremsDemailly's Inequality for Finite Sets of Points in Positive CharacteristicNilpotent Jacobian maps in dimension three and stable tameness in block extensionsPunctured log Gromov-Witten theory of log modifications and