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\"questions\": 15,\n \"numeric\": 11,\n \"checks\": 3,\n \"results\": [\n {\n \"id\": \"vorm-l4-cos-piramide\",\n \"degrees\": 58.41186449479884,\n \"rounded\": \"58.41\"\n },\n {\n \"id\": \"vorm-l4-lines-piramide-kruisend\",\n \"degrees\": 48.189685104221404,\n \"rounded\": \"48.19\"\n },\n {\n \"id\": \"vorm-l4-plane-prisma-schuine-ribbe\",\n \"degrees\": 48.1896851042214,\n \"rounded\": \"48.19\"\n },\n {\n \"id\": \"vorm-l4-plane-tetraeder-zijvlak\",\n \"degrees\": 33.690067525979785,\n \"rounded\": \"33.69\"\n },\n {\n \"id\": \"vorm-l4-dihedral-tetraeder-oppervlakte\",\n \"degrees\": 61.92751306414704,\n \"rounded\": \"61.93\"\n },\n {\n \"id\": \"vorm-l4-dihedral-prisma-diagonaalvlak\",\n \"degrees\": 51.34019174590991,\n \"rounded\": \"51.34\"\n },\n {\n \"id\": \"vorm-l4-lines-tetraeder-herhaling\",\n \"degrees\": 51.54629078329404,\n \"rounded\": \"51.55\"\n },\n {\n \"id\": \"vorm-l4-plane-piramide-herhaling\",\n \"degrees\": 58.997280866126005,\n \"rounded\": \"59.00\"\n },\n {\n \"id\": \"vorm-l4-check-prisma-lijnen\",\n \"degrees\": 81.86989764584403,\n \"rounded\": \"81.87\"\n },\n {\n \"id\": \"vorm-l4-check-tetraeder-lijnvlak\",\n \"degrees\": 41.987212495816664,\n \"rounded\": \"41.99\"\n },\n {\n \"id\": \"vorm-l4-check-piramide-vlakken\",\n \"degrees\": 45,\n \"rounded\": \"45.00\"\n }\n ]\n}\n" }, { "level": 5, "output": "{\n \"ok\": true,\n \"questions\": 20,\n \"theories\": 4,\n \"independentMethods\": \"3D cross/dot products, polygon areas, geometric similarity and numerical formula comparisons\",\n \"results\": [\n {\n \"id\": \"vorm-l5-punt-lijn-prisma\",\n \"answer\": 7.2\n },\n {\n \"id\": \"vorm-l5-punt-lijn-piramide\",\n \"answer\": 12.18415398160343\n },\n {\n \"id\": \"vorm-l5-punt-lijn-buiten-ribbe\",\n \"answer\": 9\n },\n {\n \"id\": \"vorm-l5-punt-lijn-prisma-herstel\",\n \"answer\": 9.6\n },\n {\n \"id\": \"vorm-l5-punt-vlak-prisma\",\n \"answer\": 7.0588235294117645\n },\n {\n \"id\": \"vorm-l5-punt-vlak-piramide\",\n \"answer\": 4.615384615384615\n },\n {\n \"id\": \"vorm-l5-punt-vlak-scheef-prisma\",\n \"answer\": 6\n },\n {\n \"id\": \"vorm-l5-punt-vlak-vijfhoek-herstel\",\n \"answer\": 8\n },\n {\n \"id\": \"vorm-l5-inhoud-tetraeder\",\n \"answer\": 4.4566881162492455\n },\n {\n \"id\": \"vorm-l5-inhoud-vierzijdige-piramide\",\n \"answer\": 9.6\n },\n {\n \"id\": \"vorm-l5-inhoud-scheve-tetraeder\",\n \"answer\": 5.857122361103716\n },\n {\n \"id\": \"vorm-l5-inhoud-rechthoekige-piramide-herstel\",\n \"answer\": 7.427813527082075\n },\n {\n \"id\": \"vorm-l5-model-water-prisma\",\n \"answer\": \"linear\"\n },\n {\n \"id\": \"vorm-l5-model-water-piramide\",\n \"answer\": 80.99999999999999\n },\n {\n \"id\": \"vorm-l5-model-balk-in-prisma\",\n \"answer\": 4.5\n },\n {\n \"id\": \"vorm-l5-model-balk-in-piramide\",\n \"answer\": \"cubic\"\n },\n {\n \"id\": \"vorm-l5-model-balk-piramide-herstel\",\n \"answer\": 3\n },\n {\n \"id\": \"vorm-l5-check-lijn-tetraeder\",\n \"answer\": 11.092339699089639\n 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\"shape\": \"square-pyramid-frustum\",\n \"value\": 7\n },\n {\n \"id\": \"vorm-l6-method-q1\",\n \"shape\": \"oblique-quadrilateral-pyramid\",\n \"value\": 41.9872125\n },\n {\n \"id\": \"vorm-l6-method-q2\",\n \"shape\": \"tetrahedron\",\n \"value\": 3.46410162\n },\n {\n \"id\": \"vorm-l6-method-q3\",\n \"shape\": \"square-pyramid-frustum\",\n \"value\": 63.43494882\n },\n {\n \"id\": \"vorm-l6-method-r1\",\n \"shape\": \"triangular-prism-frame\",\n \"value\": 7.2\n },\n {\n \"id\": \"vorm-l6-check-1\",\n \"shape\": \"tetrahedron\",\n \"value\": 7.2\n },\n {\n \"id\": \"vorm-l6-check-2\",\n \"shape\": \"square-pyramid-frustum\",\n \"value\": 5\n },\n {\n \"id\": \"vorm-l6-check-3\",\n \"shape\": \"oblique-quadrilateral-pyramid\",\n \"value\": 33.69006753\n },\n {\n \"id\": \"vorm-l7a-check-1\",\n \"shape\": \"oblique-quadrilateral-pyramid\",\n \"value\": 8.13733471\n },\n {\n \"id\": \"vorm-l7a-check-2\",\n \"shape\": \"square-pyramid-frustum\",\n \"value\": 69.44395478\n },\n {\n \"id\": \"vorm-l7b-check-1\",\n \"shape\": \"triangular-prism\",\n \"value\": 4.8\n },\n {\n \"id\": \"vorm-l7b-check-2\",\n \"shape\": \"tetrahedron\",\n \"value\": 61.92751306\n }\n ],\n \"checks\": {\n \"6\": [\n \"vorm-l6-check-1\",\n \"vorm-l6-check-2\",\n \"vorm-l6-check-3\"\n ],\n \"7a\": [\n \"vorm-l7a-check-1\",\n \"vorm-l7a-check-2\"\n ],\n \"7b\": [\n \"vorm-l7b-check-1\",\n \"vorm-l7b-check-2\"\n ]\n },\n \"theoryExamples\": 3,\n \"limitations\": \"Coordinate and content-structure checks only; no browser, physical-device, independent teacher review or measured learning-effect claim.\"\n}\n" } ], "browser": { "version": "0.7.1", "status": "passed", "ids": [ "vorm-l4-cos-piramide", "vorm-l4-lines-prisma-verschuiven", "vorm-l4-lines-piramide-kruisend", "vorm-l4-lines-tetraeder-loodrecht", "vorm-l4-plane-piramide-projectie", "vorm-l4-plane-prisma-schuine-ribbe", "vorm-l4-plane-tetraeder-zijvlak", "vorm-l4-dihedral-piramide-standhoek", "vorm-l4-dihedral-tetraeder-oppervlakte", 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"midpoint, foot, real point/line hits, drag separation, keyboard, 44px actions, no horizontal overflow" } ], "errors": [], "limitations": [ "Browser automation on Linux, not a physical iPhone or Safari session.", "Not an empirical usability or learning-effect study." ] }, "voiceOvers": { "evidenceVersion": "0.4.4", "environment": "Chromium 149, lokale productiebundel", "verified": "50 voorbeelden op 320, 390 en 1280 px; afspelen vanuit alle zes lessen; geen autoplay; stoppen bij wisselen, sluiten en oefenen; geen JavaScript-fouten" } }, "limitations": [ "Geen fysieke iPhone/Safari-test uitgevoerd", "Geen empirische validering van leerwinst, moeilijkheid of diagnostische foutpositieven", "Schriftelijke redeneringen en papierconstructies berusten op zelfcontrole", "Topstatus is geen geauthenticeerd toetsbewijs of garantie voor een tentamencijfer" ] }, "sources": [ { "level": 2, "source": "Ruimtemeetkunde 2025-2026 les 1.2 (1).pptx", "slides": "10–13", "coverage": "Lijn-vlaksnijding via een hulpvlak; voorwaarde dat het hulpvlak de lijn bevat; snijlijn construeren en redenering waarom dit werkt. MathML-tekst inclusief alle m:t-nodes herlezen." }, { "level": 2, "source": "Ruimtemeetkunde 2025-2026 les 1.2 (1).pptx", "slides": "14–17, 20", "coverage": "Doorsneden: twee punten in een zijvlak verbinden, evenwijdige snijlijnen in evenwijdige vlakken, buiten het lichaam liggende hulpsnijpunten. Nieuwe volledig gespecificeerde voorbeelden." }, { "level": 2, "source": "Ruimtemeetkunde 2025-2026 les 1.2 (1).pptx", "slides": "21–23", "coverage": "Gelijkvormigheid en richting van de lengtefactor; voorbereiding op driehoeksoppervlakte en piramide-inhoud." }, { "level": 3, "source": "Ruimtemeetkunde 2025-2026 les 1.3 (1).pptx", "slides": "5–9", "coverage": "Complexere doorsneden via de grondvlak-snijlijn en evenwijdigheid; overdracht naar prisma en piramide, ook zelf tekenen op papier." }, { "level": 3, "source": "Ruimtemeetkunde 2025-2026 les 1.3 (1).pptx", "slides": "10–11", "coverage": "Driehoekshoogte met Pythagoras, aanvullen tot prisma en drie piramides aftrekken. Apart levelcheckvoorbeeld met gelijkzijdige zijde 6 en prismahoogte 8 geeft 18√27, conform opnieuw uitgelezen formules." }, { "level": 3, "source": "Ruimtemeetkunde 2025-2026 les 1.3 (1).pptx", "slides": "12–13", "coverage": "Start hoofdstuk 10: sinus, cosinus, tangens, lengtes berekenen en inverse goniometrie voor hoeken." }, { "level": 4, "source": "Ruimtemeetkunde 1.4 — 57bcb5d8-80a6-4fe3-ae19-f986b4f699c8.pptx", "slides": "5–10", "coverage": "10.1: herleiding cosinusregel met hoogtelijn; zijden, hoeken en oppervlakte; nieuwe getallenvoorbeelden met onafhankelijke berekening." }, { "level": 4, "source": "Ruimtemeetkunde 1.4 — 57bcb5d8-80a6-4fe3-ae19-f986b4f699c8.pptx", "slides": "11–13", "coverage": "10.2: kleinste hoek tussen lijnen, kruisende lijnen evenwijdig verschuiven, kubus met midden van AE; alternatieve balken." }, { "level": 4, "source": "Ruimtemeetkunde 1.4 — 57bcb5d8-80a6-4fe3-ae19-f986b4f699c8.pptx", "slides": "15–16", "coverage": "10.3: loodrecht op een vlak via twee snijdende vlaklijnen; loodrechte projectie en lijn–vlakhoek. Noodzakelijke voorwaarden expliciet gemaakt." }, { "level": 4, "source": "Ruimtemeetkunde 1.4 — 57bcb5d8-80a6-4fe3-ae19-f986b4f699c8.pptx", "slides": "17–20", "coverage": "10.4: snijlijn, standvlak, standhoek, kubusvoorbeeld EJG/ABFE; ware-grootte-constructie op papier met nieuwe afmetingen." }, { "level": 5, "source": "Ruimtemeetkunde 1.5 (c7ab7d89-b3b1-4921-946a-f98c38e61550.pptx)", "slides": "8, 10–14 (alle a:t- en m:t-tekst gelezen)", "coverage": "10.5 punt-lijn via hulpvlak en oppervlakte; 10.6 punt-vlak en inhoudsmethode; 2.5 formules met gelijkvormigheid, voorbeeldwaarden en controle." }, { "level": 5, "source": "Toets Basis RuimteMeetkunde, 5 november 2018", "slides": "Opgaven 4d en 5", "coverage": "Afstand tot schuin vlak en variabele vouwbak. De twee bakcontexten, maten en vragen in deze uitbreiding zijn nieuw; het zijn geen letterlijke tentamenvragen." }, { "level": 6, "source": "Ruimtemeetkunde 1.6 (aeec9db6-624c-4c01-a9d2-e731e62a8118.pptx)", "slides": "4–8, 10, 12 (alle a:t- en m:t-tekst gelezen)", "coverage": "Herhaling constructies, lijn-vlakhoeken en vlakkenhoeken; punt-vlakafstanden; kruisende lijnen via parallel hulpvlak; zelfstandige methodekeuze." }, { "level": 6, "source": "Toets Basis RuimteMeetkunde, 5 november 2018", "slides": "Opgaven 3d–e en 5", "coverage": "Nieuwe toepassingen met kruisende lijnen, afgeknotte balken, standvlakken en fysisch domein van een volumeformule." }, { "level": 7, "source": "RMa Toets 2018 Basis Ruimtemeetkunde VT en DT 5 november 2018.pdf; Uitwerkingen tentamen Basis RM 5 november 2018.pdf", "slides": "Opgaven 1–5 en beoordelingsopmerkingen AB1–AB13", "coverage": "Nieuwe examenopgaven naar de getoetste vaardigheden: ligging en bewijs, hulpvlak en doorsnede, inhoud, lijn- en vlakhoeken, punt-lijn- en punt-vlakafstand, kruisende lijnen, gelijkvormigheid en formulemodel. Geen kopie van ontbrekende bronfiguren. Papieren constructievolgorde, nieuwe puntnamen en symbolen sluiten aan op de toetsinstructie." }, { "level": 7, "source": "Ruimtemeetkunde 2025-2026 lessen 1.1–1.6", "slides": "1.2: 10–22; 1.3: 5–11; 1.4: 5–20; 1.5: 8–14; 1.6: 4–10", "coverage": "Cumulatieve dekking van zes lessen; tweede variant wisselt kubussen en balken af met driehoekige prisma’s, scheve piramides, afgeknotte piramides en een omgekeerd volumemodel." }, { "id": "han-homework-shape-variation-060", "level": "4–7", "source": "HAN Ruimtemeetkunde 1: huiswerk bij lessen 1.4–1.6; Par 2_2 2_4 en 2_5.pdf; Par 4-5.pdf; Uitwerkingen Ruimtemeetkunde 1.pdf", "coverage": "Nieuwe eigen opgaven naar de vaardigheden en vormfamilies in het huiswerk: hoeken, loodvoeten, inhoudsmethode, gelijkvormige doorsneden, ingepaste balken en kruisende lijnen. Prisma’s, tetraëders, centrale en scheve piramides, afgeknotte piramides en samengestelde modellen. 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