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 Kₑdu across 8 sub-states (developmental, curriculum, assessment, higher, AI, equity, lifelong, metacognition). ITU axiom delta S = delta verified to machine precision (relₑrr = 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 (Pₐvg = 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.