// Numbas version: finer_feedback_settings
{"name": "Kolam", "extensions": ["geogebra"], "custom_part_types": [], "resources": [["question-resources/kolam-00.png", "/srv/numbas/media/question-resources/kolam-00.png"], ["question-resources/bin1.png", "/srv/numbas/media/question-resources/bin1.png"], ["question-resources/reset1.png", "/srv/numbas/media/question-resources/reset1.png"], ["question-resources/line1_5BSfqfY.png", "/srv/numbas/media/question-resources/line1_5BSfqfY.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Kolam", "tags": [], "metadata": {"description": "<p>Aktivit&auml;t zum Erstellen eines Kolam</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Ein Kolam ist eine in einem einzigen Linienzug durchf<span class=\"pl-cce\">&uuml;</span>hrbare, regelgeleitet erstellte Kreidezeichnung, wie sie sich noch heute bei den s<span class=\"pl-cce\">&uuml;</span>dindischen Tamilen als ethnomathematische Praxis auffinden l<span class=\"pl-cce\">&auml;</span>sst.<br/>Eine vereinfachte Variante f&uuml;r 8 Arme mit 5 Punkten sieht etwa so aus:</p>\n<p style=\"text-align: center;\"><img src=\"resources/question-resources/kolam-00.png\" alt=\"kolam-demo\"/></p>\n<p>Unten&nbsp;ist ein Punktmuster zur Erstellung eines&nbsp;solchen Kolam mit&nbsp;4 Armen zu je 3 Punkten abgebildet (bitte etwas Geduld, bis das Applet l&auml;dt).</p>", "advice": "<p>a) Es ergibt sich:</p>\n<p>{geogebra_applet('https://www.geogebra.org/m/fwc7k2nw',defs)}</p>\n<p>b)&nbsp;Angenommen, ein Kolam hat $a$ Arme mit je $b$ Punkten.</p>\n<p>i) F&uuml;r $a,b$&nbsp;muss dann zwingend $\\operatorname{ggT}(a,b)=1$ gelten, damit wir einen Eulergraphen haben.</p>\n<p>ii) Der Graph hat dann genau $a\\cdot b$ Kanten.</p>\n<p></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 36px; width: 0px; top: 60px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 21px; width: 50px; top: 45px; height: 20px; font-size: 10px; color: black;\"></span></p>", "rulesets": {}, "extensions": ["geogebra"], "variables": {"f_correct": {"name": "f_correct", "group": "Lines", "definition": "\"Strecke A\"+kolam[0]+\", B\"+kolam[1]", "description": "", "templateType": "anything"}, "app": {"name": "app", "group": "initial setup", "definition": "geogebra_applet('https://www.geogebra.org/m/xyhpupec')", "description": "", "templateType": "anything"}, "kolam": {"name": "kolam", "group": "initial setup", "definition": "shuffle(1..3)", "description": "", "templateType": "anything"}, "kolam_string": {"name": "kolam_string", "group": "initial setup", "definition": "\"<\"+kolam[0]+\", \"+kolam[1]+\", \"+kolam[2]+\">\"", "description": "", "templateType": "anything"}, "g_correct": {"name": "g_correct", "group": "Lines", "definition": "\"Strecke B\"+kolam[1]+\", C\"+kolam[2]", "description": "", "templateType": "anything"}, "h_correct": {"name": "h_correct", "group": "Lines", "definition": "\"Strecke C\"+kolam[2]+\", D\"+kolam[0]", "description": "", "templateType": "anything"}, "i_correct": {"name": "i_correct", "group": "Lines", "definition": "\"Strecke D\"+kolam[0]+\", A\"+kolam[1]", "description": "", "templateType": "anything"}, "j_correct": {"name": "j_correct", "group": "Lines", "definition": "\"Strecke A\"+kolam[1]+\", B\"+kolam[2]", "description": "", "templateType": "anything"}, "k_correct": {"name": "k_correct", "group": "Lines", "definition": "\"Strecke B\"+kolam[2]+\", C\"+kolam[0]", "description": "", "templateType": "anything"}, "l_correct": {"name": "l_correct", "group": "Lines", "definition": "\"Strecke C\"+kolam[0]+\", D\"+kolam[1]", "description": "", "templateType": "anything"}, "m_correct": {"name": "m_correct", "group": "Lines", "definition": "\"Strecke D\"+kolam[1]+\", A\"+kolam[2]", "description": "", "templateType": "anything"}, "n_correct": {"name": "n_correct", "group": "Lines", "definition": "\"Strecke A\"+kolam[2]+\", B\"+kolam[0]", "description": "", "templateType": "anything"}, "p_correct": {"name": "p_correct", "group": "Lines", "definition": "\"Strecke B\"+kolam[0]+\", C\"+kolam[1]", "description": "", "templateType": "anything"}, "q_correct": {"name": "q_correct", "group": "Lines", "definition": "\"Strecke C\"+kolam[1]+\", D\"+kolam[2]", "description": "", "templateType": "anything"}, "r_correct": {"name": "r_correct", "group": "Lines", "definition": "\"Strecke D\"+kolam[2]+\", A\"+kolam[0]", "description": "", "templateType": "anything"}, "defs": {"name": "defs", "group": "Create_Segments", "definition": "[\"f\": \"Segment(A\"+kolam[0]+\",B\"+kolam[1]+\")\",\"g\": \"Segment(B\"+kolam[1]+\",C\"+kolam[2]+\")\",\"h\": \"Segment(C\"+kolam[2]+\",D\"+kolam[0]+\")\", \n  \"i\": \"Segment(D\"+kolam[0]+\",A\"+kolam[1]+\")\",\"j\": \"Segment(A\"+kolam[1]+\",B\"+kolam[2]+\")\", \"k\": \"Segment(B\"+kolam[2]+\",C\"+kolam[0]+\")\",\n  \"l\": \"Segment(C\"+kolam[0]+\",D\"+kolam[1]+\")\",\"m\": \"Segment(D\"+kolam[1]+\",A\"+kolam[2]+\")\", \"n\": \"Segment(A\"+kolam[2]+\",B\"+kolam[0]+\")\",\n  \"p\": \"Segment(B\"+kolam[0]+\",C\"+kolam[1]+\")\",\"q\": \"Segment(C\"+kolam[1]+\",D\"+kolam[2]+\")\", \"r\": \"Segment(D\"+kolam[2]+\",A\"+kolam[0]+\")\"\n]", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "Lines", "variables": ["f_correct", "g_correct", "h_correct", "i_correct", "j_correct", "k_correct", "l_correct", "m_correct", "n_correct", "p_correct", "q_correct", "r_correct"]}, {"name": "initial setup", "variables": ["app", "kolam_string", "kolam"]}, {"name": "Create_Segments", "variables": ["defs"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "extension", "useCustomName": false, "customName": "", "marks": 1, "scripts": {"constructor": {"script": "this.marks=3", "order": "after"}}, "customMarkingAlgorithm": "f:\n  if(exists(app,\"f\")=true,definition_string(app,\"f\"),definition_string(app,'A1'))\n\nmark:\n  if(exists(app,\"f\")=true,if(definition_string(app,\"f\")=f_correct,add_credit(1/12,\"1. Linie ok. \"),negative_feedback(\"1. Linie falsch\")),negative_feedback(\"1. Linie fehlt\"));\n  if(exists(app,\"g\")=true,if(definition_string(app,\"g\")=g_correct,add_credit(1/12,\"2. Linie ok. \"),negative_feedback(\"2. Linie falsch\")),negative_feedback(\"2. Linie fehlt\"));\n  if(exists(app,\"h\")=true,if(definition_string(app,\"h\")=h_correct,add_credit(1/12,\"3. Linie ok. \"),negative_feedback(\"3. Linie falsch\")),negative_feedback(\"3. Linie fehlt\"));\n  if(exists(app,\"i\")=true,if(definition_string(app,\"i\")=i_correct,add_credit(1/12,\"4. Linie ok. \"),negative_feedback(\"4. Linie falsch\")),negative_feedback(\"4. Linie fehlt\"));\n  if(exists(app,\"j\")=true,if(definition_string(app,\"j\")=j_correct,add_credit(1/12,\"5. Linie ok. \"),negative_feedback(\"5. Linie falsch\")),negative_feedback(\"5. Linie fehlt\"));\n  if(exists(app,\"k\")=true,if(definition_string(app,\"k\")=k_correct,add_credit(1/12,\"6. Linie ok. \"),negative_feedback(\"6. Linie falsch\")),negative_feedback(\"6. Linie fehlt\"));\n  if(exists(app,\"l\")=true,if(definition_string(app,\"l\")=l_correct,add_credit(1/12,\"7. Linie ok. \"),negative_feedback(\"7. Linie falsch\")),negative_feedback(\"7. Linie fehlt\"));\n  if(exists(app,\"m\")=true,if(definition_string(app,\"m\")=m_correct,add_credit(1/12,\"8. Linie ok. \"),negative_feedback(\"8. Linie falsch\")),negative_feedback(\"8. Linie fehlt\"));\n  if(exists(app,\"n\")=true,if(definition_string(app,\"n\")=n_correct,add_credit(1/12,\"9. Linie ok. \"),negative_feedback(\"9. Linie falsch\")),negative_feedback(\"9. Linie fehlt\"));\n  if(exists(app,\"p\")=true,if(definition_string(app,\"p\")=p_correct,add_credit(1/12,\"10. Linie ok. \"),negative_feedback(\"10. Linie falsch\")),negative_feedback(\"10. Linie fehlt\"));\n  if(exists(app,\"q\")=true,if(definition_string(app,\"q\")=q_correct,add_credit(1/12,\"11. Linie ok. \"),negative_feedback(\"11. Linie falsch\")),negative_feedback(\"11. Linie fehlt\"));\n  if(exists(app,\"r\")=true,if(definition_string(app,\"r\")=r_correct,add_credit(1/12,\"12. Linie ok. \"),negative_feedback(\"12. Linie falsch\")),negative_feedback(\"12. Linie fehlt\"))\n  \ninterpreted_answer:\n  f", "extendBaseMarkingAlgorithm": false, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p style=\"text-align: center;\">{app}</p>\n<p>Erstellen Sie ein Kolam gem&auml;&szlig; der Punktfolge {kolam_string}.&nbsp;Beginnen Sie dabei mit dem Z<span class=\"pl-cce\">&auml;</span>hlen der Punkte beim innersten Punkt des nach oben zeigenden Arms (der gemeinsame Punkt aller vier Arme in der Mitte sei 0) und schreiten Sie im Uhrzeigersinn (rechts herum) fort.</p>\n<p><em>Sie k&ouml;nnen das Icon <img src=\"resources/question-resources/line1_5BSfqfY.png\" alt=\"line\" style=\"vertical-align: middle;\"/> zum Zeichnen von Linien verwenden, das Icon <img src=\"resources/question-resources/bin1.png\" alt=\"bin\" style=\"vertical-align: middle;\"/> um fehlerhafte Linien wieder zu l&ouml;schen. Mit <img src=\"resources/question-resources/reset1.png\" alt=\"reset\" style=\"vertical-align: middle;\"/> k&ouml;nnen Sie die ganze Zeichnung wieder zur&uuml;cksetzen, mit den beiden Pfeilen oben rechts einen Schritt r&uuml;ckg&auml;ngig machen bzw. wiederholen.</em></p>"}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Angenommen, ein Kolam hat $a$ Arme mit je $b$ Punkten.</p>\n<p>i) F&uuml;r $a,b$&nbsp;muss dann zwingend $\\operatorname{ggT}(a,b)=$[[0]] gelten, damit wir einen Eulergraphen haben.</p>\n<p>ii) Der Graph hat dann genau [[1]] Kanten.</p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "ggT", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "1", "maxValue": "1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "eu"}, {"type": "jme", "useCustomName": true, "customName": "Kanten", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "a*b", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": true, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "a", "value": ""}, {"name": "b", "value": ""}]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}]}]}], "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}]}