Stage 1 · BTT | Future Master Publish · 26 September 2026. This register controls the Mathematics publication queue and its dependency graph. It is not a replacement for the World Mathematics Atlas, Mathematics Learning Library or established topic owners. Build new work only when a distinct mathematical or teaching job remains missing after owner checking.
Register: FMP-S1-BTT-000 · reconciled 27 September 2026. Source: World Mathematics Atlas, WP37066. The register now preserves 175 numbered Atlas records, four WEP allocations and ten Stage 1 Mathematics route packets. All four WEP allocations and all ten MA-S1 packets are OWNER RESOLVED: further work should deepen, connect, refresh, verify or evaluate the established canonical owners rather than create parallel broad URLs.
Reconciled Atlas extension: AT151–AT161
BTT-HIST-151 resolved at source, 26 September 2026. The current World Mathematics Atlas, WP37066, modified 26 September 2026 at 20:17:05 site time, exposes numbered rows 1–161. Row 151 is the ESAT route. Rows 152–161 are ten additional board-specific Mathematics routes. The eleven existing destinations below are imported as source-linked maintenance work, not new article commissions. The original AT001–AT150 records remain unchanged below.
| Source task | Existing Atlas destination | Parent / next action |
|---|---|---|
| AT151 | ESAT 2027 Entry: Mathematics 1, Mathematics 2 and Engineering & Science Admissions Test | UNI; REUSE / SOURCE-LINKED. Check applicable admissions cycle before factual revision. |
| AT152 | Pearson Edexcel GCSE Mathematics 1MA1 | WE → UK GCSE; REUSE / SOURCE-LINKED. |
| AT153 | AQA GCSE Mathematics 8300 | WE → UK GCSE; REUSE / SOURCE-LINKED. |
| AT154 | OCR GCSE Mathematics J560 | WE → UK GCSE; REUSE / SOURCE-LINKED. |
| AT155 | Pearson Edexcel A-Level Mathematics 9MA0 | WE → UK A-Level; REUSE / SOURCE-LINKED. |
| AT156 | AQA A-Level Mathematics 7357 | WE → UK A-Level; REUSE / SOURCE-LINKED. |
| AT157 | OCR A-Level Mathematics H240 | WE → UK A-Level; REUSE / SOURCE-LINKED. |
| AT158 | AQA A-Level Further Mathematics 7367 | WE → UK Further Mathematics; REUSE / SOURCE-LINKED. |
| AT159 | Pearson Edexcel A-Level Further Mathematics 9FM0 | WE → UK Further Mathematics; REUSE / SOURCE-LINKED. |
| AT160 | OCR A-Level Further Mathematics A H245 | WE → UK Further Mathematics; REUSE / SOURCE-LINKED. |
| AT161 | OCR A-Level Further Mathematics B (MEI) H645 | WE → UK Further Mathematics; REUSE / SOURCE-LINKED. |
This closes the missing-row identification and synchronises the numbered source inventory to 161 records. It does not certify every linked examination claim, public rendering or learning outcome. Source aliases AT005/093, AT017/120 and AT055/132 remain deliberate shared-owner mappings. Re-read an actual destination before changing it; do not build replacements for these established routes.
Reconciled Atlas extension: AT162–AT175
BTT-HIST-162-175 resolved at source, 27 September 2026. The live World Mathematics Atlas, WP37066, now exposes numbered rows 1–175. The fourteen existing destinations below are imported into Future Master Publish as REUSE / SOURCE-LINKED maintenance records, not as fourteen new article commissions. Their existence in the Atlas establishes route identity only; it does not certify current factual freshness, public rendering quality, pedagogical completeness or local evaluation.
| Source task | Existing Atlas destination | Parent / next action |
|---|---|---|
| AT162 | OCR A-Level Mathematics B (MEI) H640 | WE → UK A-Level; REUSE / SOURCE-LINKED. REFRESH large-data-set and current OCR administration facts when triggered. |
| AT163 | Euclid Mathematics Contest | OLY; REUSE / SOURCE-LINKED. REFRESH current contest dates and organiser rules separately from durable problem-solving guidance. |
| AT164 | Singapore Math Word Problems | SM; REUSE / SOURCE-LINKED. DEEPEN only if language → relationship → representation → equation → verification remains incomplete. |
| AT165 | Singapore Math Review and Mastery | SM; REUSE / SOURCE-LINKED. Preserve retrieval, mixed practice and transfer ownership; do not create a rival generic mastery page. |
| AT166 | Singapore Math to Algebra | SM; REUSE / SOURCE-LINKED. Preserve the models → symbols → equations transition job. |
| AT167 | Pearson Edexcel International A Level Further Mathematics YFM01 | WE → Pearson IAL Mathematics; REUSE / SOURCE-LINKED. REFRESH modular cash-in and unit-combination rules against current Pearson manuals. |
| AT168 | Wales Mathematics Qualifications | WE / CW; REUSE / SOURCE-LINKED. CURRENT UPDATE because the GCSE Mathematics & Numeracy transition is cohort-sensitive. |
| AT169 | Northern Ireland CCEA Mathematics | WE / CW; REUSE / SOURCE-LINKED. Preserve M1–M8 and GCE unit architecture; verify current CCEA administration before revision. |
| AT170 | Scotland Higher & Advanced Higher Mathematics | WE / CW; REUSE / SOURCE-LINKED. Preserve Qualifications Scotland/SQA continuity note while current documents transition branding. |
| AT171 | New Zealand NCEA Mathematics & Statistics | WE / CW; REUSE / SOURCE-LINKED. REFRESH standards, assessment specifications and calculator rules by NCEA year. |
| AT172 | Canada Senior Mathematics | WE / CW; REUSE / SOURCE-LINKED. Keep Canada as a provincial gateway; Ontario, Alberta and British Columbia remain depth children rather than separate top-level Atlas inflation. |
| AT173 | Ireland Leaving Certificate Mathematics | WE / CW; REUSE / SOURCE-LINKED. CURRENT UPDATE while the future Mathematics specification remains a separate transition from the live examination route. |
| AT174 | France Baccalauréat Mathematics | WE / CW; REUSE / SOURCE-LINKED. CURRENT UPDATE for Première anticipatory Mathematics and Terminale specialty rules. |
| AT175 | Germany Abitur Mathematics | WE / CW; REUSE / SOURCE-LINKED. Preserve federal scope: KMK/IQB common framework plus Länder examinations; do not collapse Germany into one national paper. |
Continuation rule after AT175: re-read the live Atlas immediately before allocating any new AT number. If another branch has already extended the source map, import those existing destinations as source-linked maintenance records first. Do not infer an unclaimed number from an earlier snapshot.
Publishing contract and graph
Each task records source ID, exact job, current canonical URL/WordPress ID, parent, mathematical prerequisites, example/practice/evidence, handoff/return, priority, action, maturity, state and check date. REUSE, DEEPEN, CONNECT and REFRESH precede BUILD. HOLD unresolved owner, source, rights or specialist matters. Release states are REGISTERED → OWNER RESOLVED → DRAFT → REVIEWED → PUBLISHED / STORE CHECKED → PUBLIC VERIFIED → ROUTE VERIFIED → LOCALLY EVALUATED where justified. A correct worked example is not evidence that a learner has mastered the topic.
BTT owns specialist Mathematics, reasoning, representation, proof, applications, advanced routes and Mathematics pedagogy. Established national school-reference owners remain on eduKateSingapore; generic learner-state and Tutor System work remains on Sengkang; recovery planning remains on Yishun; local family implementation remains local. New FMP task IDs do not replace established article or series IDs. Preserve Banking and Finance Mathematics and the existing Finance and Banking Algorithms owners rather than combining them by title alone.
Federation Publish Gate v1.1
Desk: FED.WING.BTT. Before any task moves to BUILD, it must pass the federation gate below. Search demand can trigger inspection; it cannot bypass ownership.
- Reader-job test. State the exact human job in one sentence. If the job is vague, HOLD.
- Owner test. Search the live estate and Ecosystem Atlas. Prefer REUSE → DEEPEN → CONNECT → REFRESH before BUILD.
- Page-role test. Classify the work as canonical owner, Atlas/hub, guide/manual, handbook, lesson, casebook, practice, assessment, reference, research note, local facet, current update or historical/archive.
- Lifecycle test. Record PLANNED, CANONICAL LIVE, SUPPORTING LIVE, CURRENT UPDATE, SUPERSEDED, HISTORICAL, REPAIR REQUIRED or RETIRED.
- ID and relationship test. Preserve/register the canonical ID and any Crosswalk Registry edges: owner, parent, specialist handoff, local facet, translation, practice, assessment, evidence, supersession and return.
- Scope test. Record audience, subject/domain, stage/level, geography and time scope. Do not let a local, cohort or language facet silently become a universal claim.
- Freshness test. Assign F0 STABLE, F1 INSTITUTIONAL, F2 LOCAL/PROGRAMME, F3 CURRENT RULE, F4 EVENT/LIVE or FH HISTORICAL and identify the review trigger.
- Evidence test. Separate durable mechanism from changing fact; choose the appropriate source class and expose uncertainty where precision is not justified.
- Quality test. A proposed canonical owner must pass the owner gate relevant to its role: job clarity, boundaries, mechanism, structure, dependencies, examples, failure modes, action/practice, transfer, assessment/evidence, sources, routing, machine consistency and distinct value.
- Graph test. Record parent owner, prerequisites, next route, specialist/recovery/local handoffs and return route. No important page should enter the estate as an orphan.
- Machine-identity test. Title, metadata, structured data and internal anchors must describe the same job and entity. Related wings are not alternate names for one another.
- Release-receipt test. If ownership, meaning, current rules or major crosswalks change, create a change receipt and recheck dependent routes.
Wing-specific boundary: BTT may BUILD specialist Mathematics, mathematical pedagogy, examinations, applications, technology and world-Mathematics jobs. It should not absorb general learner-runtime, English, public curriculum-reference or non-Mathematics local ownership.
Final BUILD test: if an existing owner can satisfy the same job after a surgical update or stronger handoff, do not create another URL. SEO is telemetry for the gate; it is not permission to bypass the gate.
Parent graph and work types
| Code | Existing parent | Completion condition |
|---|---|---|
| WE | World Mathematics Examinations | Authority/cohort → topic dependencies → worked practice → paper-specific application. |
| OLY | Olympiad and Competition Hub | Prerequisite → reasoning/proof → fresh problem; official entry rules checked separately. |
| SM | Singapore Math Worldwide | Representation/mechanism → task → changed-context transfer; no universal superiority claims. |
| CW | World Curriculum Crosswalk | Compare actual scope and demands without declaring qualifications interchangeable. |
| JC | JC Mathematics | Concept → symbolic/graphical meaning → worked reasoning → mixed practice → verification. |
| UNI | University Admissions and Bridging | Current prerequisite → gap → bridge → fresh advanced task. |
| TOOL | Examination Tools and Reference | Versioned rules, valid inputs, tested boundaries, actual functionality. |
| LOCAL | Bukit Timah Mathematics Tuition | Real local decision → specialist teaching → evidence → appropriate support decision. |
For all inherited AT rows below, the starting action is REUSE / MATURITY CHECK, with REFRESH for volatile examination or admissions facts. The source Atlas holds the current destination mapping; resolve and record the exact URL before touching a row. Parent codes above define graph destinations, not guessed child URLs. Preserve source numbering and return paths.
Inherited article register: AT001–AT150
| Source task | Article / reader job | Parent |
|---|---|---|
| AT001 | SEC G3 Mathematics: Course and Examination Route | WE |
| AT002 | SEC G3 Additional Mathematics | WE |
| AT003 | PSLE Mathematics: Specialist Preparation Route | WE |
| AT004 | H2 Mathematics | JC / WE |
| AT005 | H1 Mathematics: Complete Topic Map | JC; alias AT093 |
| AT006 | Further Mathematics | JC / WE |
| AT007 | Cambridge IGCSE Mathematics 0580 | WE |
| AT008 | Cambridge IGCSE Additional Mathematics 0606 | WE |
| AT009 | Cambridge IGCSE International Mathematics 0607 | WE |
| AT010 | Cambridge International Mathematics 9709 | WE |
| AT011 | Cambridge Further Mathematics 9231 | WE |
| AT012 | IB Mathematics Analysis and Approaches | WE |
| AT013 | IB Mathematics Applications and Interpretation | WE |
| AT014 | UK GCSE Mathematics | WE |
| AT015 | UK A-Level Mathematics | WE |
| AT016 | UK Further Mathematics | WE |
| AT017 | Digital SAT Mathematics | WE; alias AT120 |
| AT018 | ACT Mathematics | WE |
| AT019 | AP Calculus AB and BC | WE |
| AT020 | AP Statistics and AP Precalculus | WE; retain distinct linked owners |
| AT021 | JEE Mathematics | WE |
| AT022 | CBSE Class 12 Mathematics | WE |
| AT023 | Gaokao Mathematics | WE |
| AT024 | Korean CSAT Mathematics | WE |
| AT025 | Japan Common Test Mathematics | WE |
| AT026 | HKDSE Mathematics | WE |
| AT027 | SPM Mathematics | WE |
| AT028 | Australian HSC and VCE Mathematics | WE; jurisdiction-specific owners |
| AT029 | Cambridge Checkpoint Mathematics | WE |
| AT030 | WASSCE and South African NSC Mathematics | WE; distinct qualifications |
| AT031 | Singapore Mathematics Olympiad Calendar | OLY; REFRESH |
| AT032 | APMOPS Preparation | OLY |
| AT033 | NMO∑ Preparation | OLY |
| AT034 | SASMO Preparation | OLY |
| AT035 | Singapore Mathematical Olympiad | OLY |
| AT036 | When Mathematics Olympiad Preparation Is Appropriate | OLY |
| AT037 | Mathematics Competitions and DSA | OLY; current school criteria |
| AT038 | RMO Mathematics Preparation | OLY; verify current event identity |
| AT039 | AMC 8, AMC 10 and AMC 12 | OLY |
| AT040 | Kangaroo and UKMT Mathematics | OLY; separate routes |
| AT041 | Olympiad Number Theory | OLY |
| AT042 | Olympiad Combinatorics | OLY |
| AT043 | Olympiad Geometry | OLY |
| AT044 | Writing Mathematical Proof | OLY |
| AT045 | From PSLE Heuristics to Olympiad Reasoning | SM → OLY |
| AT046 | AIME Preparation | OLY |
| AT047 | IMO and APMO: Advanced Mathematical Preparation | OLY |
| AT048 | Olympiad Algebra | OLY |
| AT049 | What Is Singapore Math? | SM |
| AT050 | Bar Models and Mathematical Relationships | SM; national school owner boundary |
| AT051 | Concrete, Pictorial and Abstract Representations | SM |
| AT052 | Singapore Math and Common Core | SM / CW |
| AT053 | Singapore Mathematics Textbook Programmes | SM; edition checks |
| AT054 | Number Bonds | SM |
| AT055 | Mathematics Grade and Level Comparisons | SM; alias AT132 |
| AT056 | Mathematics Placement and Readiness | SM; bounded educational evidence |
| AT057 | Using Singapore Mathematics in Home Education | SM |
| AT058 | Mathematics Heuristics and Method Selection | SM |
| AT059 | TIMSS, PISA and What Mathematics Practice Can Transfer | SM → SG measurement mechanisms |
| AT060 | Teaching Mathematics Without Dependence on One Textbook | SM |
| AT061 | Kindergarten Mathematical Foundations | SM |
| AT062 | Secondary Singapore Mathematics in the Wider World | SM / CW |
| AT063 | Singapore Mathematics in International Schools | SM / CW |
| AT064 | Common Mistakes When Adopting Singapore Mathematics | SM |
| AT065 | Moving Into Singapore Mathematics | CW |
| AT066 | Singapore and IB Mathematics Compared | CW |
| AT067 | Singapore and UK Mathematics Compared | CW |
| AT068 | Singapore and US Mathematics Compared | CW |
| AT069 | Singapore and China Mathematics Compared | CW |
| AT070 | International-School to MOE Mathematics Transition | CW |
| AT071 | Singapore and CBSE Mathematics Compared | CW |
| AT072 | Singapore, Japan and South Korea Mathematics | CW |
| AT073 | Singapore and Australian Mathematics Compared | CW |
| AT074 | Singapore and Finland Mathematics Compared | CW |
| AT075 | H2 Functions | JC |
| AT076 | H2 Graphs | JC |
| AT077 | H2 Sequences and Series | JC |
| AT078 | H2 Vectors | JC |
| AT079 | H2 Complex Numbers | JC |
| AT080 | H2 Differentiation | JC |
| AT081 | H2 Integration | JC |
| AT082 | H2 Equations and Inequalities | JC |
| AT083 | Maclaurin Series | JC |
| AT084 | Definite Integrals | JC |
| AT085 | Differential Equations | JC |
| AT086 | Permutations and Combinations | JC |
| AT087 | H2 Probability | JC |
| AT088 | Discrete Random Variables and Binomial Distribution | JC |
| AT089 | Normal Distribution | JC |
| AT090 | Sampling and the Central Limit Theorem | JC |
| AT091 | Hypothesis Testing | JC |
| AT092 | Correlation and Regression | JC |
| AT093 | H1 Mathematics Topic Route | JC; reuse AT005 owner |
| AT094 | H3 Mathematics | JC |
| AT095 | Further Mathematics: Complex Numbers, Matrices and Vectors | JC |
| AT096 | Further Mathematics: Calculus, Numerical Methods and Statistics | JC |
| AT097 | Choosing IB AA or AI, SL or HL | WE / CW |
| AT098 | IB Mathematics Internal Assessment | WE; academic-integrity boundary |
| AT099 | IB AA Calculus | WE |
| AT100 | IGCSE 0580 Topic Map | WE |
| AT101 | IB AA Proof and Complex Numbers | WE |
| AT102 | IB AA Functions | WE |
| AT103 | IB AA Sequences and Series | WE |
| AT104 | IB AA Trigonometry | WE |
| AT105 | IB AA and AI Statistics and Probability | WE |
| AT106 | IB AI Modelling | WE |
| AT107 | IB Graphical Calculator Use | WE / TOOL |
| AT108 | IGCSE Additional Mathematics 0606 Topic Map | WE |
| AT109 | Cambridge 9709 Pure Mathematics 1 | WE |
| AT110 | Cambridge 9709 Pure Mathematics 3 | WE |
| AT111 | IB Mathematics and H2 Mathematics Compared | CW |
| AT112 | IGCSE and SEC Mathematics Compared | CW |
| AT113 | IB AI HL: Matrices, Graphs and Markov Models | WE |
| AT114 | IB Higher-Level Paper 3 | WE; applicable examination cohort |
| AT115 | Cambridge 9709 Mechanics | WE |
| AT116 | Cambridge 9709 Statistics | WE |
| AT117 | UK A-Level Mathematics Topic Map | WE |
| AT118 | GCSE Higher Mathematics | WE |
| AT119 | University Degrees and Mathematics Prerequisites | UNI; current institutional sources |
| AT120 | SAT Mathematics for University Applications | UNI; reuse AT017 owner |
| AT121 | STEP Mathematics | UNI |
| AT122 | MAT: Historical Preparation and Current Successor Routes | UNI; historical/current distinction |
| AT123 | University Mathematics Bridging | UNI |
| AT124 | NUS, NTU and SMU Mathematics Admission Requirements | UNI; current sources |
| AT125 | TMUA Mathematics | UNI |
| AT126 | World Mathematics Degree Routes | UNI |
| AT127 | Mathematics for Computer Science | UNI |
| AT128 | Mathematics for Economics and Finance | UNI; existing finance owners |
| AT129 | Mathematics for Engineering | UNI |
| AT130 | Statistics for Medicine and Life Sciences | UNI; mathematical not clinical advice |
| AT131 | World Mathematics Examination Calendar | TOOL; current announced dates only |
| AT132 | Mathematics Grade and Level Reference | TOOL; reuse AT055 |
| AT133 | Mathematics Self-Check: A Bounded Task Sample | TOOL; no broad mastery certification |
| AT134 | Calculator Rules by Examination | TOOL; version and cohort |
| AT135 | Mathematics Formula Sheets | TOOL; rights and version |
| AT136 | Method Marks and Mathematical Working | TOOL; authority-specific examples |
| AT137 | Mathematics Syllabus Change Watch | TOOL; refresh existing owner |
| AT138 | Grade Boundaries and Their Interpretation | TOOL; no universal conversion |
| AT139 | Bukit Timah Mathematics Tuition | LOCAL |
| AT140 | H2 Mathematics Tuition in Bukit Timah | LOCAL |
| AT141 | IB Mathematics Tuition in Bukit Timah | LOCAL |
| AT142 | Mathematics Olympiad Support in Bukit Timah | LOCAL |
| AT143 | Bukit Timah School and Learning Context | LOCAL; public facts only |
| AT144 | Pearson Edexcel International GCSE Mathematics A 4MA1 | WE |
| AT145 | Pearson Edexcel International GCSE Mathematics B 4MB1 | WE |
| AT146 | Pearson Edexcel Further Pure Mathematics 4PM1 | WE |
| AT147 | Pearson Edexcel International A-Level Mathematics | WE |
| AT148 | IGCSE 0580 Non-Calculator Performance | WE; cohort-specific task design |
| AT149 | IB Mathematics Changes: 2027 and 2029 Cohorts | TOOL; official-source review before use |
| AT150 | Pearson Edexcel Advanced Extension Award Mathematics 9811 | WE → UNI |
Four White Paper allocations
| Source | Required article job | Graph and next action |
|---|---|---|
| WEP070 | Number Sense Before Primary 1 | OWNER RESOLVED · REUSE / DEEPEN · 27 Sep 2026. Canonical owner: Singapore Math for Kindergarten and Early Years | Number Sense Before Worksheets (WP37466), under Singapore Math Worldwide. Primary‑1 readiness is now explicit inside the existing owner. No new URL. |
| WEP125 | How to Teach Mathematical Problem Solving | OWNER RESOLVED · DEEPEN / CONNECT · 27 Sep 2026. Canonical broad problem-solving owner: How to Solve Math Problems: A Complete Secondary Problem-Solving System (WP35348), now with a tutor-facing teaching, hint-fading, verification and transfer layer. Connect to Teaching Singapore Math Without the Textbook (WP37465) for the representation-first method route. No second broad teaching owner. |
| WEP219 | University Mathematics Foundations: Calculus, Linear Algebra and Statistics | OWNER RESOLVED · REUSE / DEEPEN / CONNECT · 27 Sep 2026. Canonical transition owner: School to University Mathematics Bridge (WP37217), paired with University Mathematics Tutorial (WP33130). The new foundation map routes proof, Calculus (WP32021), linear algebra, Statistics and Data (WP32024), and independent study. Admissions tests remain a separate job. |
| WEP220 | Statistics for Beginners: From Averages to Regression | OWNER RESOLVED · DEEPEN · 27 Sep 2026. Canonical owner: Statistics and Data | Mathematics Knowledge Object (WP32024), now with a beginner route from measurement and displays through centre, spread, probability, inference, association and regression. No second general statistics overview. |
Ten Stage 1 Mathematics route packets
Current Stage 1 state: OWNER RESOLVED. All ten route packets now terminate in established BTT owners. The next maturity work is not broad page creation: test the stated dependency, add only the missing bounded explanation or handoff, verify with fresh mathematical work, then advance the packet only when the saved owner and reader route are independently confirmed.
| ID | Work to complete | Resolved owner / owner chain | Action / state | Release test |
|---|---|---|---|---|
| MA-S1-010 | Word Problems: Language, Relationship or Calculation? | Singapore Math Word Problems | From Language to Mathematical Structure PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026. The canonical BTT owner now contains a fresh transfer problem and a diagnostic fork for language → relationship → representation → equation → calculation → check. English-only instability hands off to SETC How English Works; broader learner-state instability returns to Sengkang My Child Can Do the Sums but Not the Problem Sums. No new BTT URL. | ||
| MA-S1-020 | Before-and-After Relationships: Model, Equation and Check | Primary Mathematics: Invariants, Before-and-After and Unchanged Quantities PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026. The established owner already carries models, preserved quantities, practice and checking; a bounded symbolic bridge now makes model → invariant → equation → original-state recovery → independent check explicit. No rival heuristic owner. | ||
| MA-S1-030 | Signed Numbers to Algebra: Locate the First Broken Prerequisite | Signed Numbers, Brackets and Algebraic Structure → Equations, Balance and Checking PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026. A five-stage mixed diagnostic now isolates the first unstable dependency: signed numbers → brackets/distribution → simplification/equivalence → equation balance → transfer. Repair the earliest break and retest downstream algebra; no third algebra-repair owner. | ||
| MA-S1-040 | Fractions, Ratios and Percentages: Choose the Right Representation | Choosing Useful Representations + Fractions, Decimals and Percentages + Ratio, Rate and Proportion PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026. A mixed, unlabelled challenge now requires the learner to choose fraction, percentage, ratio, unit rate or equivalent form because it exposes the target efficiently. No new representation owner. | ||
| MA-S1-050 | Functions and Graphs: Connect Symbolic and Visual Meaning | Functions and Graphs | Mathematics Knowledge Object PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026. The owner now contains an explicit equation → table → graph → verbal behaviour → changed equation test, including an invariant question about rate of change and a transfer pair with changed notation. No new functions route. | ||
| MA-S1-060 | Checking Mathematics Without Repeating the Same Error | How to Check Maths Answers: Verification, Independent Checking and Answer Validation PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026. The owner already teaches independent checking and alternative representations; a planted-error test now verifies that the learner can reject a wrong result through substitution or forward reconstruction rather than repeat the vulnerable route. Existing Sengkang learner-runtime return is preserved. | ||
| MA-S1-070 | From Topical Success to Mixed-Paper Reliability | How Mixed-Topic Transfer Works → Mathematics Examination Craft → SEC Mathematics Paper Pacing PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026. A commissioning chain now connects fresh mixed method selection → error classification → delayed retest → timed clusters/sections → full-paper commissioning → post-paper classification. No generic mixed-paper owner. | ||
| MA-S1-080 | Household Water Use: Totals, Rates and Comparable Periods | Real-World Mathematics: Water, Flow, Tanks and Rainfall PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026. The owner now includes a synthetic household dataset that requires m³ ↔ L conversion, 7-day ↔ 30-day normalisation, household and per-person rates, like-for-like comparison and a short evidence report that separates calculation from unsupported causal claims. No new owner. | ||
| MA-S1-090 | A Mathematical Bridge Into University Work | School to University Mathematics Bridge | Proof, Abstraction and Independent Study PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026 · NO NEW CONTENT REQUIRED. The live owner already carries prerequisite audit, definition/proof/counterexample work, fresh unfamiliar tasks, abstraction, independent explanation, a release test and the connected university-foundations map. Admissions-test preparation remains separate. | ||
| MA-S1-100 | Accessible Mathematical Representation and Technology | Accessibility and Inclusive Technology in Mathematics Education → Mathematics Education Technology Atlas PUBLIC VERIFIED · ROUTE VERIFIED · 27 Sep 2026. An accessibility invariance test now records target, barrier, access change, invariant mathematical demand, independent result and transfer. It explicitly blocks representation substitutions that would silently change the skill being assessed. No new accessibility owner. |
Change receipt | MA-S1-090 | 27 September 2026
- Owner: WP37217, School to University Mathematics Bridge | Proof, Abstraction and Independent Study.
- Action: DEEPEN existing canonical owner; no new URL.
- Preserved: title, slug, parent, route identity and existing return paths.
- Added: readiness diagnostic, definition/proof/counterexample bridge, functions/linear-algebra/analysis/discrete transition, active study loop, eight fresh diagnostic tasks and an explicit definition → proof → changed example → unfamiliar problem → independent explanation release test.
- Saved readback: publish status retained; approximately 2,601 rendered words; required diagnostic/release sections and prerequisite links present; WordPress save returned no content warnings.
- Release state: PUBLISHED / STORE CHECKED. PUBLIC VERIFIED remains pending because the available public fetch path could not retrieve the destination; do not promote the state merely from editor readback.
Release and continuity
Upgrade lead: U11 worked mathematical reasoning and actual functional tools. Participate in U10 practice, U12 calculators, U25 validated feedback and U41 accessibility. A formula sheet is not a solver; a sampled self-check is not a qualification; a past grade boundary is not a future guarantee. Preserve existing curriculum and diagnostic repair series, Banking and Finance Mathematics, real-world Mathematics and advanced topic owners.
Claim a row before work. Re-read the source mapping and existing owner. Record REUSE, DEEPEN, CONNECT, REFRESH, BUILD or HOLD. For a genuine new owner, establish its parent and incoming discovery, worked explanation, practice, verification, specialist handoff and return. Re-read the saved article and public destination before marking PUBLIC VERIFIED. Later record route testing separately. No homepage, menu, theme, footer or protected article is changed by the creation of this register.