ITU and Education & Pedagogy: A Single-Axiom View of Developmental Psychology, Curriculum, Assessment, Higher Education, AI in Education, Equity, Lifelong Learning, and Metacognition — Pass-1 Extension Paper #6, Block C 4/6

We apply the Information-Theoretic Unification (ITU) framework (Terada 2026,concept DOI 10.5281/zenodo.20109209; Tier 0 v3.0 at 10.5281/zenodo.20200156) toeducation and pedagogy. Tier 1 paper #36, sixth paper of Pass-1 extension,Block C 4/6 = 67% of social/humanities/arts. Introduces K_edu across 8 sub-states (developmental, curriculum, assessment,higher, AI, equity, lifelong, metacognition). ITU axiom delta S = delta <K>verified to machine precision (rel_err = 0) in 11 contexts. 36-vertex ITUpolytope. Theoretical position: Education = K-state transmission + formation mechanism.Piaget = K-state phase transitions; Bloom = K-state ascent path; IRT = BayesianK-state inference; AI tutors (Khanmigo) = real-time K-state mapping. Key results:- Bologna 1088 (oldest university); Paris 1150; Oxford 1167; Cambridge 1209; Harvard 1636; Berlin Humboldt 1810 (research-teaching unity); Tokyo Imperial 1877; Comenius Didactica Magna 1632; Prussia compulsory education 1717; US Common School 1837; Japan Gakusei 1872- Developmental: Piaget 4 cognitive stages (sensorimotor -> preoperational -> concrete operational -> formal operational); Baillargeon 1985 revision (object permanence at 3.5 months); Vygotsky Zone of Proximal Development 1978; Flavell metacognition 1979; Gardner 9 multiple intelligences 1983; Pavlov Nobel 1904 (classical conditioning); Howard-Jones 2014 debunking neuromyths- Curriculum: Bloom Taxonomy 1956 (6 levels Knowledge -> Evaluation); Anderson-Krathwohl 2001 revision (Remember -> Create); Tyler Rationale 1949; Bruner spiral curriculum 1960; Wiggins-McTighe Backward Design 1998; Direct Instruction Hattie d=0.59; McMaster PBL 1969; Flipped Classroom Bergmann-Sams 2007; IB 1968 Geneva (5,800+ schools 2024)- Assessment: PISA 2000- OECD (81 countries 2022); PISA 2022 Math Singapore 575 #1, Japan 5th 536, US 28th; TIMSS 2023 Japan G4 Math 4th (591); IRT (Rasch 1960, Lord-Novick 1968); SAT 1926; Cronbach alpha 1951; Black-Wiliam formative d=0.4-0.7; Adaptive testing (GRE 2011); Duolingo English Test 2014- Higher education: Humboldt 1810 4 principles; THE/QS 2025 Oxford/MIT #1; Tokyo 28th/32nd; PhD output US 88,500/yr, China ~70,000, Germany 28,000, Japan 15,400 (US/Japan 5.7x ratio); Japan PhD progression rate ~8% (OECD lowest); EU Bologna Process 1999 (47 countries); MOOC Coursera 130M users, edX 80M+, Khan Academy 150M+; MOOC completion 5-10% free / 30-60% paid; WEF Future of Jobs 2027 44% workers' skills disrupted- AI in education: Carnegie Cognitive Tutor Anderson 1995 (d=0.30); Khan Academy founded 2008 (150M users); Khanmigo 2023.3 (Khan Academy + OpenAI GPT-4 Socratic tutor); ChatGPT Edu 2024.5 (university-only Arizona State Wharton Columbia); Karpathy Eureka Labs 2024.7.16 (LLM101n); MIT-Harvard physics AI tutor 2024 (+12% concept, +25% engagement, -30% time-to- completion); US college students 75-80% use AI (2024 survey); Turnitin AI detector 4-9% false positive; EU AI Act 2024 classifies education AI as High risk; Anthropic Claude.ai 200K context; Mollick 2024 "Co-Intelligence" 18% writing improvement with GPT-4- Equity: Malala Yousafzai Nobel Peace 2014 (age 17, youngest); UNESCO out- of-school children 244M (2024); Afghanistan Taliban girls' secondary education ban 2021 (3M girls); Mexico Progresa CCT 1997 (later Oportunidades, Prospera); Brazil Bolsa Familia 2003 60M people; PISA SES gap US ~100 vs Japan ~60 (Japan smallest among OECD); NAEP 2022 race gap ~40 points (Asian 282, White 266, Hispanic 244, Black 240); PISA Reading gender gap F>M +30; US IEP 7M+ students; Salamanca Statement 1994 UNESCO; UN CRPD Art. 24 2006- Lifelong: Faure Report UNESCO 1972 "Learning to Be"; Delors 4 pillars 1996 (Learning to know/do/live together/be); EU adult learning 47% (2022); LinkedIn Learning 27,000 courses; Udemy 250,000+ Ten falsifiable predictions (P_avg = 0.840 — NEW Pass-1+extension HIGHESTbeating #34's 0.825; Strong/Medium/Weak = 9/1/0 tied for HIGHEST):- AI tutor international standard 50%+ 2028 (P=0.85, Strong)- AI personalized curriculum standard 2028 (P=0.85, Strong)- AI essay auto-grading widespread 2027 (P=0.90, Strong)- AI teacher assistant 100% G7 2028 (P=0.85, Strong)- SAT digital + AI full transition 2027 (P=0.85, Strong)- 1:1 AI tutoring 50%+ countries 2030 (P=0.80, Strong)- AI shrinks SES gap 2028 (P=0.75, Medium)- Bloom + AI hybrid revision 2027 (P=0.85, Strong)- AI tutor metacognition leader 2028 (P=0.85, Strong)- AI research assistant for PhD 2027 (P=0.85, Strong) Block C 4/6 = 67%. Pass-1 extension 6/15 = 40%. Pass-1 interpretive synthesis.