From ae03d355e13aa3c5154492ecbbd58b075be45385 Mon Sep 17 00:00:00 2001 From: Sven Riwoldt Date: Sun, 15 Feb 2026 10:52:12 +0100 Subject: [PATCH] Ein guter Stand --- Band1/Band1.typ | 181 ++++++++++++++++------------------------- Band1/Band1_Titel.png | Bin 0 -> 1337486 bytes Band1/deckblatt.typ | 80 ++++++++++++++++++ Band1/definitionen.typ | 108 ++++++++++++++++++++++++ 4 files changed, 256 insertions(+), 113 deletions(-) create mode 100644 Band1/Band1_Titel.png create mode 100644 Band1/deckblatt.typ create mode 100644 Band1/definitionen.typ diff --git a/Band1/Band1.typ b/Band1/Band1.typ index 632407c..3464caf 100644 --- a/Band1/Band1.typ +++ b/Band1/Band1.typ @@ -1,171 +1,126 @@ - #import "@preview/biz-report:0.3.1": authorwrap, dropcappara, infobox, report +#import "@preview/cetz:0.3.3" //Grafiken -#show text: set text(spacing: 100%) // Erhöht den Abstand zwischen den Wörtern/Zeilen -// ODER (effektiver): -#show par: set par(leading: 1em) +#import "deckblatt.typ": deckblatt -/*#set page( - paper: "iso-b5" -)*/ +#import "definitionen.typ": * -#show: report.with( - title: "Zum Sprachgebrauch der Mathematik", - publishdate: {}, - mycolor: rgb("#1300a7"), - myfont: "DejaVu Sans" +#set text( + font: "Lato", //Serifenlose Schrift + size: 9pt, + lang: "de", //Deutsche Spracheinstellungen ) -#set par( - leading: 1.5em, // Zeilenabstand - spacing: 2em, // Abstand zwischen Absätzen - justify: true // Blocksatz (sieht im Report meist besser aus) -) +#set page( + margin: 2.5cm, + paper: "a5" + ) -//Formelnummerierung -#set math.equation(numbering: "(1.1)") +// Einfach die Funktion aufrufen +#deckblatt(titel: "MATHEMATIK", reihe1: "LEHRPROGRAMMBÜCHER", reihe2: "HOCHSCHULSTUDIUM", titel2: "Zum Sprachgebrauch in\nder Mathematik", logo: image("Band1_Titel.png", width: 80%), verlag: "Akademische Verlagsgesellschaft Geest & Portig K.-G. Leipzig", bandnr: "1") -// 1. Die Bezeichnung auf "Bild" ändern -#set figure(supplement: [Bild]) -#set figure.caption(separator: [ ]) -//#set par(leading: 1.5em) - - -// 2. Die Nummerierung manuell berechnen -#show figure.where(kind: image): set figure(numbering: (..nums) => { - // Holt die aktuelle Nummerierung der Überschriften - let h-nums = counter(heading).at(here()) - - // Wenn wir mindestens in einer Sektion (Ebene 2) sind - if h-nums.len() >= 2 { - // Gibt Kapitel.Sektion.Bildnummer zurück - return str(h-nums.at(0)) + "." + str(h-nums.at(1)) + "." + str(nums.pos().last()) - } else if h-nums.len() == 1 { - // Falls nur ein Kapitel existiert: Kapitel.Bildnummer - return str(h-nums.at(0)) + "." + str(nums.pos().last()) - } else { - // Falls gar keine Überschrift existiert - return str(nums.pos().last()) - } -}) - -// 3. Optional: Den Bild-Zähler bei jeder neuen Sektion (==) zurücksetzen -#show heading.where(level: 2): it => { - it - counter(figure.where(kind: image)).update(0) -} +#pagebreak() -//#set figure(supplement: [Bild]) +#outline() //Inhaltsverzeichnis + +#pagebreak() -//#dropcappara(firstline: "Welcome to this report.")[#lorem(50)] - - - - -/*#set text( - font: "TeX Gyre Heros", - size: 10pt -)*/ -#set par( - justify: true, - leading: 0.52em, -) - - -= Vorwort des Herausgebers -Mit diesem Heft eröffnen wir die Reihe „Lehrprogrammbücher Hochschulstudium - Mathematik", die die Akademische Verlagsgesellschaft Geest \& Portig K.-G. dankenswerterweise in ihr Verlagsprogramm aufgenommen hat. - +#set page(margin: 1.5cm) +#nonumber[= Vorwort des Herausgeber] +Mit diesem Heft eröffnen wir die Reihe „Lehrprogrammbücher Hochschulstudium - Mathematik ", die die Akademische Verlagsgesellschaft Geest & Portig K.-G. dankenswerterweise in ihr Verlagsprogramm aufgenommen hat. Programmierte Lehrmaterialien werden zusammen mit anderen Methoden für die Aneignung von Wissen und Können einen gesicherten Platz in der Ausbildung an den Hoch- und Fachschulen einnehmen. Die Programme sind vom Ziel und vom Inhalt so angelegt, daß sie sich als Bausteine in den Ausbildungsprozeß einfügen und dem wissenschaftlich-produktiven Studium als grundlegendem Prinzip bei der Entwicklung sozialistischer Persönlichkeiten dienen. Das hier vorgelegte erste Heft der Reihe bildet nun insofern eine Ausnahme, als es sich nicht vorrangig an denjenigen wendet, der bereits Mathematik studiert, sondern insbesondere an den, der ein Studium der Mathematik im Haupt- oder Nebenfach aufnehmen will oder der sich für mathematische Denkweisen und Sachverhalte interessiert. - Die in dieser Reihe erscheinenden Lehr- und Übungsprogramme sind unter Anleitung und Betreuung des Forschungszentrums für Theorie und Methodologie der Programmierung von Lehr- und Lernprozessen an der Karl-Marx-Universität entstanden und bilden die Grundlage für weitere Forschungen. Deshalb wird in den einzelnen Heften keine einheitliche Programmierungstechnik angewandt. In jedem Programm wird aber großer Wert darauf gelegt, daß der Lernende durch aktives Mitdenken zum Verstehen der Sachverhalte und Zusammenhänge geführt wird. - Es ist programmierten Materialien zu eigen, daß sie für den Lernenden geschrieben sind und seinen Wünschen und Bedürfnissen weitgehend Rechnung zu tragen haben. - Bitte lassen Sie uns wissen, wie weit es uns gelungen ist, dieser Forderung nachzukommen. - Schreiben Sie, welche der in den einzelnen Bausteinen angewandten Programmierungsmethoden Ihnen am meisten zusagt. Ich wünsche der Reihe einen guten Start! -Leipzig, im Juni 1971#h(1fr);DER HERAUSGEBER +Leipzig, im Juni 1971 #h(1fr) DER HERAUSGEBER #pagebreak() -== Das Programm richtet sich vorwiegend an - +#nonumber[= Das Programm richtet sich vorwiegend an:] Absolventen der zehnklassigen polytechnischen Oberschule; Abiturienten; Studenten des ersten Semesters an Hoch-, Fach- und Ingenieurschulen sowie pädagogischen Instituten im Direkt- und Fernstudium; Lehrer. -Voraussetzung zum erfolgreichen Durcharbeiten dieses Programms - +#nonumber[= Voraussetzung zum erfolgreichen Durcharbeiten dieses Programms:] Mathematik-Abschluß Klasse 10 +#nonumber[= Ziele] -\textbf{Ziele} +Nach Durcharbeitung des Programms sollen Sie den Gebrauch der Wörter -Nach Durcharbeitung des Programms sollen Sie den Gebrauch der Wörter - -\hspace{1cm}\textit{\anf{und}, \anf{oder}, "`nicht"',}\par +#einruecken(2cm)["_und_", "_oder_", "_nicht_",] der Redeweisen - -\hspace{1cm}\textit{"`wenn -- so"', "`genau dann, wenn"',} - -\hspace{1cm}\textit{"`für alle ..."', "`es gibt mindestens (genau, höchstens) ein..."',} - -\hspace{1cm}\textit{"`es gibt mindestens (genau, höchstens) $n \ldots $"' $(n=2,3, \ldots)$} - +#einruecken(2cm)[- _"wenn - so", "genau dann, wenn",_ +- _"für alle $...$", "es gibt mindestens (genau, höchstens) ein $...$"_ +- _es gibt mindestens (genau, höchstens) } $n...$ $(n=2,3,...)$_] sowie den Gebrauch des bestimmten Artikels in der Mathematik verstanden haben. - Im besonderen bedeutet dies: -\begin{itemize} - \item Sie haben erfaßt, was unter einer \textit{Aussage} sowie der \textit{Negation} einer Aussage zu verstehen ist. - \item Sie kennen die Aussagenverknüpfungen \textit{Konjunktion}, \textit{Alternative} und \textit{Implikation}, insbesondere wissen Sie Bescheid, in welcher Weise das Wahr- bzw. Falschsein dieser Aussagenverknüpfungen vom Wahr- bzw. Falschsein der jeweils miteinander verknüpften Aussagen abhängt. - \item Sie sind in der Lage, die Gleichwertigkeit gewisser Formulierungen zu erkennen, in denen Wörter oder Redeweisen der genannten Art vorkommen. -\end{itemize} +- Sie haben erfaßt, was unter einer Aussage sowie der _Negation einer Aussage_ zu verstehen ist. +- Sie kennen die Aussagenverknüpfungen _Konjunktion_, _Alternative_ und _Implikation_, insbesondere wissen Sie Bescheid, in welcher Weise das Wahr- bzw. Falschsein dieser Aussagenverknüpfungen vom Wahr- bzw. Falschsein der jeweils miteinander verknüpften Aussagen abhängt. +- Sie sind in der Lage, die Gleichwertigkeit gewisser Formulierungen zu erkennen, in denen Wörter oder Redeweisen der genannten Art vorkommen. Im Verlaufe der Durcharbeitung des Programms sollen Teile Ihres Schulwissens über die trigonometrischen Funktionen, die Logarithmusfunktionen, die Quadratwurzel sowie über den absoluten Betrag einer Zahl gefestigt werden. -\newpage - -\textbf{Hinweise für die Arbeit mit dem Lehrprogramm} +#pagebreak() +#nonumber[= Hinweise für die Arbeit mit dem Lehrprogramm] Dieses Lehrprogramm unterscheidet sich in einigen Punkten wesentlich von Lehrbüchern. Rein äußerlich zeigt sich das bereits darin, daß der Stoff außerordentlich stark gegliedert ist. Er wird Ihnen in sogenannten Lehrschritten geboten. Von wenigen Ausnahmen abgesehen, befinden sich auf jeder Seite mehrere solcher Lehrschritte, die durch Striche voneinander getrennt und durchgehend numeriert sind. Dabei ist es nicht so, daß diese Lehrschritte immer der Reihe nach durchzuarbeiten sind. Oft entscheiden Ihre eigenen Lernergebnisse, die in Aufgaben überprüft werden, über die Reihenfolge der von Ihnen zu bearbeitenden Lehrschritte. - Am Ende der Lehrschritte wird durch Pfeile angegeben, welcher Lehrschritt als nächster von Ihnen zu bearbeiten ist. Dabei bedeuten im einzelnen: - - -\begin{tabular}{ll} - \raisebox{-0.4\height}{\includegraphics[width=0.3\linewidth]{Grafiken/001.png}} - & Gehen Sie nach Lehrschritt x ! \\ - \\ - \raisebox{-0.4\height}{\includegraphics[width=0.3\linewidth]{Grafiken/002.png}}& \makecell[l]{Gehen Sie zunächst zum Lehrschritt $x$, dann weiter \\nach $y$!}\\ - \\ - \raisebox{-0.4\height}{\includegraphics[width=0.3\linewidth]{Grafiken/003.png}}& \makecell[l]{Studieren Sie Lehrschritt $x$ und kehren Sie dann \\nach diesem (eben bearbeiteten) Lehrschritt zurück!}\\ - \\ - \raisebox{-0.4\height}{\includegraphics[width=0.3\linewidth]{Grafiken/004.png}}& \makecell[l]{Studieren Sie Lehrschritt $x$ und kehren Sie dann\\nach Lehrschritt $y$ zurück!} \\ -\end{tabular} - +#einruecken(1cm)[ + #table( + columns: 2, + stroke: none, + [#pfeil_mit_x("x")],[Gehen Sie nach Lehrschritt x !], + [#pfeil_mit_xy("x","y")],[Gehen Sie zunächst zum Lehrschritt x , dann weiter nach y !], + [#pfeilrueck_mit_x("x")],[Studieren Sie Lehrschritt x und kehren Sie dann nach diesem (eben bearbeiteten) Lehrschritt zurück!], + [#pfeilrueck_mit_xy("x", "y")],[Studieren Sie Lehrschritt x und kehren Sie dann nach Lehrschritt y zurück!]) + ] Das erfolgreiche Durcharbeiten des Programms erfordert sehr genaues und konzentriertes Lesen sowie die aktive Auseinandersetzung mit den Aufgaben und Fragen, mit denen Sie ständig konfrontiert werden. Gehen Sie tatsächlich erst dann weiter, wenn Sie überzeugt sind, die richtige Lösung gefunden bzw. den Text verstanden zu haben. Es empfiehlt sich, an einigen Stellen die Arbeit zu unterbrechen, um so einem zu schnellen und oberflächlichen Vorgehen entgegenzuwirken. + Besonders zu beachtende Stellen des Programms sind durch Farbgestaltung hervorgehoben. Legen Sie sich zur Lösung der Aufgaben einige Blatt Papier bereit. - -\vfill Und nun: Frisch ans Werk! -%\end{document} +#pagebreak() + += Methods +== Setup +#lorem(10) + + + + + + + + + + + + + + + + + + +Studieren Sie Lehrschritt x und kehren Sie dann nach Lehrschritt y zurück! \ No newline at end of file diff --git a/Band1/Band1_Titel.png b/Band1/Band1_Titel.png new file mode 100644 index 0000000000000000000000000000000000000000..246ffb7b559ed77218652812d6f28cfd2abc5f61 GIT binary patch literal 1337486 zcmXt`^N`EW6O*!N{q4Z%ar&eTVq!-A%w_I_I=-mh9>(qMI>X(Ao~*8GGY*l z>|{^KIvB&x?~m`fuID<}b^g51InVumzwg(RVE9m*nc+GE003at)j=Qu0GgxAB@d#$ ze4;}$`2O-n@1c!`2pJlx?!O{TlKmbG#zHfYJ zK5u47DE1jc&4NPrZj(*732IKI1hAKCUPz9=q|39sr@z zd5LWf1zOLwJMgUq7r!h|WQQe!PToRq$}Us+Ez>g?;CKQMw)KLFGfuud3=)1k>AeC7z0b7z+Yr54$qs@0Y@(Tgd6R4xQ#I+5&4KAS!x$^GdTP7%I-QA1xQVB*Ak1vBqnboc6gpU*_iLpL`g%m{pKu%#ou@vOBQ0 zxXa4|cf&(cv1R4f(uTbhm5^%?cmpv6%~}DqZqZ;z{8K~lzQn%%htxB_Cj0jFzOszxMT~4yHxooBin?QqGST2JDSz5YtdRt~ 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