\mnb150ÿ{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fswiss\fprq2 System;}{\f3\fmodern\fprq1 Courier New;}{\f4\froman\fcharset1 Times New Roman;}{\f5\fswiss\fprq2 Arial;}{\f6\fswiss\fprq2 Helvetica;}{\f7\froman\fprq2 Times New Roman;}} {\colortbl\red0\green0\blue0;\red255\green0\blue0;\red0\green128\blue0;\red255\green255\blue255;\red0\green0\blue255;\red128\green0\blue0;} \deflang1031\pard\ri4\plain\f3\fs20\cf0\b ________________________________________________________________________________ \par \par \plain\f3\fs20\cf0 Inhalt....: Belegen der Variablen von Termen mit Zahlen \par Kategorie.: Unterrichtsmaterial \par Mathematik: Analysis, Geometrie R^2, Sonstiges \par MuPAD.....: 3.0.0 \par Datum.....: 2004-08-24 \par Autoren...: Thomas Himmelbauer \par Funktionen: subs \par \plain\f3\fs20\cf0\b ________________________________________________________________________________ \par \plain\f4\fs32\cf0 \par \plain\f7\fs24\cf5\b Vorbemerkung: \par \plain\f7\fs24\cf5 \par Die Materialien stammen aus dem Unterricht einer 3. Klasse Gymnasium (7. Schulstufe, Sekundarstufe \par 1) in Mathematik. Die Klasse hatte pro Woche 4 Stunden Mathematik. Der Lehrstoff bestand in etwa \par aus dem Rechnen mit Ganzen Zahlen, dem Arbeiten mit Termen und Variablen und ebener Geometrie). \par Die Sch\'fcler haben in der Schule im PC-Raum zu zweit an einem Ger\'e4t gearbeitet. Jeder Sch\'fcler hatte \par auch zu Hause einen PC mit einer MuPAD-Lizenz. \par Au\'dferdem wurde die Lernplattform Elsitos verwendet. Dadurch konnten Lehrer und Sch\'fcler Dokumente \par ins Internet stellen und austauschen, z.B. Haus\'fcbungen. \par Diese Klasse soll aber der 9. Schulstufe als Notebookklasse gef\'fchrt werden. Die Besch\'e4ftigung mit \par MuPAD war als erste Vorstufe dazu gedacht. MuPAD wurde in der Regel nur eingesetzt, um bereits \par gelernte Zusammenh\'e4nge an das CAS zu \'fcbergeben oder Fertigkeiten zu vertiefen. So wurde das L\'f6sen \par der Gleichungen von Textgleichungen an MuPAD ausgelagert, um sich ganz der Aufstellung der Gleichung \par aus dem Text widmen zu k\'f6nnen. \par Das Erkennen von Termstrukturen konnten durch das Zeichnen von Baumstrukturen verbessert werden. \par Auch beim L\'f6sen von Gleichung durch \'c4quivalenzumformungen konnten die Berechnungen an MuPAD \par \'fcbertragen werden. Dadurch konnten die gesamte Konzentration auf die Umformung gelenkt werden. \par Au\'dferdem f\'fchrt MuPAD immer die angegebenen Umformung durch. Was nicht immer den Zielvorstellungen \par von Sch\'fclen entspricht. z B. f\'fchrt die Subtraktion von 3 von der Gleichung 3x=7 nicht zu x=4) \par Die MuPAD-Graphik wurde zum Zeichnen von Polygonen verwendet. Einerseits um durch die h\'fcbsche \par Graphik die Freude an der Sache zu heben, andererseits um objektorientiertes Denken, exakte Eingaben \par und den Umgang mit Koordinaten zu schulen. \par \par Um die Lernmotivation f\'fcr MuPAD hoch zu halten, wurde eine Schularbeit von den 5 Schularbeiten ganz \par mit MuPAD geschrieben. Dabei wurde die Klasse geteilt, so dass jeder Sch\'fcler einen eigenen PC zur \par Verf\'fcgung hatte. \par \plain\f4\fs32\cf0 \par 7. Schul\'fcbung \par \par Belegen der Variablen von Termen mit Zahlen \par \par \plain\f4\fs22\cf0\b Beispiel 1: \par \plain\f4\fs22\cf0 Im Term {\pict\wmetafile8\picw2300\pich828\picscalex99\picscaley99\picwgoal1310\pichgoal471 0100090000032005000008001C0000000000050000000B0200000000050000000C023C03FC0803 0000001E00050000000C0240030709050000000B0200000000030000001E00050000000C024703 1509050000000B0200000000050000000B0200000000030000001E00050000000C024A03210905 0000000B0200000000050000000B0200000000050000000B0200000000030000001E0005000000 0C0252032F09050000000B0200000000050000000B0200000000050000000B0200000000050000 000B0200000000030000001E00050000000C0255033A09050000000B0200000000050000000B02 00000000050000000B0200000000050000000B0200000000050000000B0200000000030000001E 00050000000C025C034809050000000B0200000000050000000B0200000000050000000B020000 0000050000000B0200000000050000000B0200000000050000000B0200000000030000001E0005 0000000C0260035409050000000B0200000000050000000B0200000000050000000B0200000000 050000000B0200000000050000000B0200000000050000000B0200000000050000000B02000000 00030000001E00050000000C0267036209050000000B0200000000050000000B02000000000500 00000B0200000000050000000B0200000000050000000B0200000000050000000B020000000005 0000000B0200000000050000000B0200000000030000001E00050000000C026A036E0905000000 0B0200000000050000000B0200000000050000000B0200000000050000000B0200000000050000 000B0200000000050000000B0200000000050000000B0200000000050000000B02000000000500 00000B0200000000030000001E00050000000C0271037C09050000000B0200000000050000000B 0200000000050000000B0200000000050000000B0200000000050000000B020000000005000000 0B0200000000050000000B0200000000050000000B0200000000050000000B0200000000050000 000B0200000000030000001E00050000000C0275038809050000000B0200000000050000000B02 00000000050000000B0200000000050000000B0200000000050000000B0200000000050000000B 0200000000050000000B0200000000050000000B0200000000050000000B020000000005000000 0B0200000000050000000B0200000000030000001E00050000000C027B039709050000000B0200 000000050000000B0200000000050000000B0200000000050000000B0200000000050000000B02 00000000050000000B0200000000050000000B0200000000050000000B0200000000050000000B 0200000000050000000B0200000000050000000B0200000000050000000B020000000003000000 1E00050000000C028003A309050000000B0200000000050000000B0200000000050000000B0200 000000050000000B0200000000050000000B0200000000050000000B0200000000050000000B02 00000000050000000B0200000000050000000B0200000000050000000B0200000000050000000B 0200000000050000000B0200000000050000000B0200000000030000001E00050000000C028603 B109050000000B0200000000050000000B0200000000050000000B0200000000050000000B0200 000000050000000B0200000000050000000B0200000000050000000B0200000000050000000B02 00000000050000000B0200000000050000000B0200000000050000000B0200000000050000000B 0200000000050000000B0200000000050000000B0200000000030000001E00050000000C028B03 BE09050000000B0200000000050000000B0200000000050000000B0200000000050000000B0200 000000050000000B0200000000050000000B0200000000050000000B0200000000050000000B02 00000000050000000B0200000000050000000B0200000000050000000B0200000000050000000B 0200000000050000000B0200000000050000000B0200000000050000000B020000000003000000 1E00030000001E00050000000C0202028605050000000B0200000000050000000B020000000005 0000000B0200000000050000000B0200000000050000000B0200000000050000000B0200000000 050000000B0200000000050000000B0200000000050000000B0200000000050000000B02000000 00050000000B0200000000050000000B0200000000050000000B0200000000050000000B020000 0000050000000B0200000000050000000B020000000008000000FA020000000000000000000004 0000002D0100001C000000FB0238FF00000000000090010000000107000000417269616C000000 630C0AE838E91200D89FF177E19FF1772020F377900D663F040000002D01010005000000020101 000000050000000102FFFFFF00050000002E011800000005000000090200000000040000000801 00001C000000FB0210FF0000000000009001000000010700000054696D6573204E657720526F6D 616E00D89FF177E19FF1772020F377900D663F040000002D0102000B00000026060F000C004D61 74685479706500007B001C000000FB0210FF0000000000009001010000010700000054696D6573 204E657720526F6D616E00D89FF177E19FF1772020F377900D663F040000002D0103001C000000 FB0256FF0000000000009001000000010700000054696D6573204E657720526F6D616E00D89FF1 77E19FF1772020F377900D663F040000002D0104001C000000FB0210FF00000000000090010000 00020700000053796D626F6C00007D0E0A3038E91200D89FF177E19FF1772020F377900D663F04 0000002D010500040000002D010200040000002D010300040000002D010400040000002D010500 040000002D010200040000002D0105000500000009020000FF00040000002D0102000700000021 050100340168016400040000002D0105000700000021050100D70168010C01040000002D010200 040000002D0103000700000021050100610168017801040000002D010400070000002105010032 01EE00F001040000002D01050007000000210501002B0168018102040000002D01020007000000 21050100330168014103040000002D0105000700000021050100D7016801E903040000002D0102 00040000002D0103000700000021050100610168015504040000002D0104000700000021050100 3301EC00CD0408000000FA0200000000000000000000040000002D0106001C000000FB02100007 0000000000BC02000000000102022253797374656D0000450D0A0E38E91200D89FF177E19FF177 2020F377900D663F040000002D010700040000002701FFFF04000000F001000004000000F00101 0004000000F001020004000000F001030004000000F001040004000000F0010500040000002701 FFFF040000002701FFFF040000002701FFFF040000002701FFFF040000002701FFFF0400000027 01FFFF040000002701FFFF040000002701FFFF040000002701FFFF040000002701FFFF04000000 2701FFFF040000002701FFFF040000002701FFFF040000002701FFFF040000002701FFFF040000 002701FFFF030000000000 }\plain\f4\fs22\cf0 ist a mit -2 zu belegen. \par Zun\'e4chst geben wir den Term ein. \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f3\fs28\cf1 {\pntext\f1\'b7\tab}term1:=3*a^3+4*a^2 \par \pard\ri4\plain\f4\fs22\cf0 Dann k\'f6nnen wir mit dem Befehl subs (Men\'fcleiste)={\pict\wmetafile8\picw1365\pich612\picscalex98\picscaley99\picwgoal781\pichgoal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}\plain\f4\fs22\cf0 ) die Variable a \par mit dem Wert -2 belegen. \par Dabei sind die Platzhalter %? durch Eintippen des ge\'fcnschten Ausdruckes \par zu ersetzen. Zum n\'e4chsten Platzhalter kommt man mit Hilfe der TAB \par Taste. \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f3\fs28\cf1 {\pntext\f1\'b7\tab}subs(%?, %? = %?) \par {\pntext\f1\'b7\tab}subs(term1, a = -2) \par \pard\ri4\plain\f4\fs22\cf0 Nat\'fcrlich k\'f6nnen wir auch selber einsetzen und berechnen. \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f3\fs28\cf1 {\pntext\f1\'b7\tab}3*(-2)^3+4*(-2)^2 \par \pard\ri4\plain\f4\fs22\cf0\b Beispiel 2: \par \plain\f4\fs22\cf0 Im Term {\pict\wmetafile8\picw3219\pich775\picscalex99\picscaley98\picwgoal1840\pichgoal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}\plain\f4\fs22\cf0 ist a mit 1 und b mit 2 zu belegen. \par Zun\'e4chst geben wir den Term ein. \par \plain\f4\fs22\cf0\b \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f3\fs28\cf1 {\pntext\f1\'b7\tab}term2:=3*a^2*b^3-2*a*b \par \pard\ri4\plain\f4\fs22\cf0 Dann k\'f6nnen wir mit dem Befehl subs (Men\'fcleiste={\pict\wmetafile8\picw1335\pich603\picscalex98\picscaley99\picwgoal764\pichgoal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}\plain\f4\fs22\cf0 ) die Variable a \par mit dem Wert 1 und die Variable b mit dem Wert 2 belegen. \par \par \pard\li300\ri5\fi-300{\*\pn\pnlvlblt\pnf1\pnindent300{\pntxtb\'b7}}\plain\f3\fs28\cf1 {\pntext\f1\'b7\tab}subs(term2, a = 1,b=2) \par \pard\ri4\plain\f4\fs22\cf0 Auch hier k\'f6nnen wir wieder durch eigenst\'e4ndiges Einsetzen kontrollieren. \par 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}\plain\f4\fs22\cf0 ist a mit -5 und b mit -3 zu belegen. \par \plain\f3\fs28\cf1 \par \par \plain\f3\fs20\cf0\b _______________________________________________________________________________ \par \plain\f5\fs22\cf0 \par \plain\f5\fs22\cf2\b Anmerkungen:\plain\f5\fs22\cf2 \par \plain\f5\fs20\cf2\b 1. \plain\f5\fs20\cf2 Unter \plain\f5\fs20\cf1 www.schule.mupad.de/material/\plain\f5\fs20\cf2 finden Sie weitere interessante Notebooks. \par \par \plain\f5\fs20\cf2\b 2.\plain\f5\fs20\cf2 Weitere Anregungen finden Sie in der Buchreihe \plain\f5\fs20\cf1 Mathematik 1 x anders\plain\f5\fs20\cf2 . In dieser Reihe wird eine Vielzahl \par \plain\f5\fs20\cf3 ss\plain\f5\fs20\cf2 unterschiedlichster mathematischer Probleme mit MuPAD gel\'f6st. Die B\'fccher k\'f6nnen unter \par \plain\f5\fs20\cf3 ss\plain\f6\fs20\cf4 www.schule.mupad.de/literatur\plain\f5\fs20\cf2 kostenfrei kopiert werden.\plain\f5\fs20\cf1 \par \plain\f3\fs20\cf0\b _______________________________________________________________________________\plain\f3\fs28\cf1 \par }