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543 lines
16 KiB
543 lines
16 KiB
<?xml version="1.0" ?>
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<!DOCTYPE book PUBLIC "-//KDE//DTD DocBook XML V4.2-Based Variant V1.1//EN" "dtd/kdex.dtd" [
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<!ENTITY kbruch "<application>KBruch</application>">
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<!ENTITY kappname "&kbruch;">
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<!ENTITY package "tdeedu">
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<!ENTITY % addindex "IGNORE">
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<!ENTITY % English "INCLUDE"><!-- change language only here -->
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]>
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<book lang="&language;">
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<bookinfo>
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<title>The &kbruch; Handbook</title>
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<authorgroup>
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<author>
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<firstname>Sebastian</firstname>
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<surname>Stein</surname>
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<affiliation>
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<address><email>seb.kde@hpfsc.de</email></address>
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</affiliation>
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</author>
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<!-- TRANS:ROLES_OF_TRANSLATORS -->
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</authorgroup>
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<copyright>
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<year>2001-2005</year>
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<holder>Sebastian Stein</holder>
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</copyright>
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<legalnotice>&FDLNotice;</legalnotice>
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<date>2004-07-09</date>
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<releaseinfo>3.4</releaseinfo>
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<abstract>
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<para>&kbruch; is a small program to practice calculating with fractions.
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Different exercises are provided for this purpose. The program checks user's
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input and gives feedback.
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</para>
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</abstract>
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<keywordset>
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<keyword>KDE</keyword>
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<keyword>education</keyword>
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<keyword>fraction</keyword>
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<keyword>mathematics</keyword>
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<keyword>denominator</keyword>
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<keyword>kbruch</keyword>
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</keywordset>
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</bookinfo>
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<chapter id="introduction">
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<title>Introduction</title>
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<para>
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&kbruch; is a small program to practice calculating with fractions. Therefore
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4 different exercises are offered.
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</para>
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<itemizedlist>
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<listitem><para>
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Fraction Task - in this exercise you have to solve a given fraction task.
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You have to enter numerator and denominator. This is the main exercise.
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</para></listitem>
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<listitem><para>
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Comparison - in this exercise you have to compare the size of 2 given
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fractions.
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</para></listitem>
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<listitem><para>
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Conversion - in this exercise you have to convert a given number into a
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fraction.
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</para></listitem>
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<listitem><para>
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Factorization - in this exercise you have to factorize a given number into its prime factors.
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</para></listitem>
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</itemizedlist>
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<para>
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In all different exercises &kbruch; will generate a task and the user has to
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solve it. The program checks the input and gives a feedback about it.
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</para>
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<para>
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&kbruch; counts how many tasks were solved at all and how many tasks were
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solved correctly. The statistics are shown to the user, but this part of the
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main window can be hidden. The user can reset the statistics at any point.
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</para>
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<para>
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&kbruch; is very compact and focuses on the core idea of a task generator. An
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online help system provides context-sensitive help for the different
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situations.
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</para>
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<para>
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&kbruch; is free and licensed under the &GNU; Public License.
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</para>
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</chapter>
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<chapter id="using-kbruch">
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<title>Using &kbruch;</title>
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<sect1 id="overview">
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<title>Main screen</title>
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<para>Here is a screenshot of &kbruch;'s main screen:</para>
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<screenshot>
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<screeninfo>&kbruch; main screen, directly after the start</screeninfo>
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<mediaobject>
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<imageobject>
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<imagedata fileref="gui_main.png" format="PNG"/>
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</imageobject>
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<textobject>
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<phrase>&kbruch; main screen</phrase>
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</textobject>
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</mediaobject>
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</screenshot>
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<para>
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All action takes place in this screen. This ensures that &kbruch; is
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easy to use even for young users! The main screen is separated into 5
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parts:
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<itemizedlist>
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<listitem><para>
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the menubar with the 3 menus <guimenu>Task</guimenu>,
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<guimenu>Settings</guimenu> and <guimenu>Help</guimenu>
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</para></listitem>
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<listitem><para>
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the toolbar, where you can set the difficulty for the tasks given in the
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<guimenu>Fraction Task</guimenu> exercise
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</para></listitem>
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<listitem><para>
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the exercise chooser, where you can switch between the different exercises
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</para></listitem>
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<listitem><para>
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the task part, where you have to enter the result of the given task
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</para></listitem>
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<listitem><para>
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the statistical part, where you can see how many tasks have been solved
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correctly or attempted
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</para></listitem>
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</itemizedlist>
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</para>
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<para>
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First you have to choose an exercise in the exercise chooser on the left side
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of the window. The task part will change according to the chosen task. The
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settings in the toolbar will be enabled, if you have chosen the exercise
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<guimenu>Fraction Task</guimenu>.
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</para>
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<para>
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You will find an icon to generate a new task in the toolbar as well. This
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action is also available in the menu
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<menuchoice><guimenu>Task</guimenu><guimenuitem>New
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Task</guimenuitem></menuchoice>. This action is always enabled. If you have not
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solved the currently given task, a new task is generated and the given task is
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counted as not correctly solved.
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</para>
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<para>
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You can hide the statistic part by dragging the vertical separator to the
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right.
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</para>
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<para>
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If you terminate &kbruch; the currently chosen exercise will be saved and
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restored on next startup.
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</para>
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</sect1>
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<sect1 id="statistics">
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<title>Statistical Part</title>
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<para>
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In this part of the main screen you can see:
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<itemizedlist>
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<listitem><para>
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how many tasks have been solved
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</para></listitem>
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<listitem><para>
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how many tasks have been solved correctly
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</para></listitem>
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<listitem><para>
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how many tasks have been solved incorrectly
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</para></listitem>
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</itemizedlist>
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</para>
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<para>
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You can reset the statistics by clicking on the <guimenu>Reset</guimenu> button
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under the figures.
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</para>
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<para>
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The statistics will be saved on &kbruch;'s termination and restored on next
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startup.
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</para>
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</sect1>
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<sect1 id="settings">
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<title>Settings Window</title>
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<para>
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In this part of the main screen you can adjust some general settings for
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task display. To open this dialog use
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<menuchoice><guimenu>Settings</guimenu><guimenuitem>Configure
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&kbruch;</guimenuitem></menuchoice>.
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</para>
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<screenshot>
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<screeninfo>&kbruch; settings dialog</screeninfo>
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<mediaobject>
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<imageobject>
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<imagedata fileref="settings.png" format="PNG"/>
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</imageobject>
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<textobject>
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<phrase>&kbruch; settings dialog</phrase>
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</textobject>
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</mediaobject>
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</screenshot>
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<para>
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In the top part of the dialog you can choose a font for displaying. In the
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lower part you can choose colors for the different parts of a mathematical
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expression. You can set wether to show the mixed number notation in the result.
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This notation is not known everywhere and can be disabled therefore.
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</para>
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<para>
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The settings will be saved on &kbruch;'s termination and restored on the next
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startup.
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</para>
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</sect1>
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</chapter>
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<chapter id="exercises">
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<title>Exercises</title>
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<sect1 id="exer_fraction">
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<title>Exercise Fraction Task</title>
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<para>In this exercise you have to solve a given task. Therefor you have to
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enter numerator and denominator. The difficulty of the generated task can be
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adjusted by the task parameters described below.
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</para>
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<sect2 id="task_paras">
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<title>Task Parameters</title>
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<para>
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There are 3 parameters which influence the difficulty of the generated
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tasks:</para>
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<variablelist>
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<varlistentry>
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<term><guilabel>Terms</guilabel></term>
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<listitem><para>The number of terms (separate fractions) given in each
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task. From 2 to 5, inclusive.</para></listitem>
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</varlistentry>
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<varlistentry>
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<term><guilabel>Max. main denominator</guilabel></term>
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<listitem><para>The highest number &kbruch; will use as the main denominator in the
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tasks it sets. From a minimum of 10 to a maximum of 50.</para></listitem>
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</varlistentry>
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<varlistentry>
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<term><guilabel>Operations</guilabel></term>
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<listitem><para>Operations which should be used in the
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task: <guilabel>Addition/Subtraction</guilabel>,
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<guilabel>Multiplication/Division</guilabel> or <guilabel>All Operations Mixed</guilabel>.</para></listitem>
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</varlistentry>
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</variablelist>
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<para>
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After you have changed the parameters you have to click on the <guimenu>New
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Task</guimenu> button in the toolbar to generate a task which uses the new
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parameters. You can also call this action from the menubar with
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<menuchoice><guimenu>Task</guimenu><guimenuitem>New
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Task</guimenuitem></menuchoice>.
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</para>
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<note>
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<para>
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Your selection of the maximum main denominator will be reset to a default
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value every time you change the number of terms. So you should change the
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number of terms first and then select the maximum main denominator.
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</para>
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</note>
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<para>
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If you have not solved the current task and call the <guimenu>New
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Task</guimenu> action, the task will be counted as not solved correctly. To
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prevent this you have to change the parameters after you solved the task but
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before generating a new one.
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</para>
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<para>
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The chosen parameters will be saved on &kbruch;'s termination and restored
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on next startup.
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</para>
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</sect2>
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<sect2 id="exer_fraction_solve_task">
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<title>Solving Tasks</title>
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<para>
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After you have solved a given task, you need to enter the result into the two
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input boxes. In the upper box you enter the numerator and in the lower
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box the denominator.
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</para>
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<para>
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If the result is negative, you can enter a minus sign in front of the numerator
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or denominator. If the result is 0, just type a 0 in the numerator input field.
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If the result has a denominator of 1, you can leave the lower box empty.
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</para>
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<para>
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After you have entered the result you should click the <guibutton>Check
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Task</guibutton> button below the input boxes. &kbruch; will check your input
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and present the correct result. Therefore the screen changes a little, as
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you can see in the screenshot:
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</para>
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<screenshot>
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<screeninfo>Checked Task</screeninfo>
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<mediaobject>
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<imageobject>
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<imagedata fileref="checked.png" format="PNG"/>
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</imageobject>
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<textobject>
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<phrase>Checked Task</phrase>
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</textobject>
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</mediaobject>
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</screenshot>
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<para>
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This task was solved correctly. The correct value is shown in 2 different
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forms. The second form just in front of the word <guilabel>CORRECT</guilabel>
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is only used in some countries and must be read as 2 + 1/5 in the given case.
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</para>
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<note>
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<para>
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You always have to enter the result reduced, because most teachers only
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give all points to reduced results. &kbruch; will show you a short message
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like the one in the screenshot below, if you enter the correct result
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unreduced.
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</para>
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</note>
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<screenshot>
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<screeninfo>Unreduced Result</screeninfo>
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<mediaobject>
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<imageobject>
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<imagedata fileref="reduced.png" format="PNG"/>
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</imageobject>
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<textobject>
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<phrase>Unreduced Result</phrase>
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</textobject>
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</mediaobject>
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</screenshot>
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<para>
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To continue with the next task, click on the <guimenu>Next Task</guimenu>
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button. If you want to change the parameters for the next task please do this
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before clicking on the <guimenu>Next Task</guimenu> button.
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</para>
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</sect2>
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</sect1>
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<sect1 id="exer_compare">
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<title>Exercise Comparison</title>
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<para>In this exercise you have to compare 2 given fractions. You have to choose
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the bigger fraction of both by selecting the correct comparison sign.
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</para>
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<screenshot>
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<screeninfo>Exercise Comparison</screeninfo>
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<mediaobject>
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<imageobject>
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<imagedata fileref="compare.png" format="PNG"/>
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</imageobject>
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<textobject>
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<phrase>Exercise Comparison</phrase>
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</textobject>
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</mediaobject>
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</screenshot>
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<para>First choose the correct comparison sign. To toggle the comparison sign,
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you have to click on the button showing the comparison sign. After you have
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chosen the comparison sign click on the <guimenu>Check Task</guimenu> button.
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&kbruch; will check your input and present the correct result. After this step
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you will get to the next task by clicking on the <guimenu>Next Task</guimenu>
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button.
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</para>
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</sect1>
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<sect1 id="exer_convert">
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<title>Exercise Conversion</title>
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<para>In this exercise you have to convert a given number into a fraction. You
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have to enter numerator and denominator.
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</para>
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<screenshot>
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<screeninfo>Exercise Conversion</screeninfo>
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<mediaobject>
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<imageobject>
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<imagedata fileref="convert.png" format="PNG"/>
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</imageobject>
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<textobject>
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<phrase>Exercise Conversion</phrase>
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</textobject>
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</mediaobject>
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</screenshot>
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<para>On the left side of the equal sign in the screenshot above you can see a
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recurring decimal. This means, that the fraction shown as a decimal has a
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repeating part. The repeating part is marked with the small bar above the
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numbers. Those numbers repeat ad infinitum.
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</para>
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<para>After you have entered the numerator and denominator click on the
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<guimenu>Check Task</guimenu> button. &kbruch; will check your input and
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present the correct result. After this step you will get to the next task by
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clicking on the <guimenu>Next Task</guimenu> button.
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</para>
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<note>
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<para>
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Do not forget to enter the result reduced. Unreduced results will be counted as
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solved not correctly.
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</para>
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</note>
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</sect1>
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<sect1 id="exer_factorize">
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<title>Exercise Factorization</title>
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<para>In this exercise you have to factorize a given number into its prime
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factors. You have to enter all prime factors of the number.
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</para>
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<screenshot>
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<screeninfo>Exercise Factorization</screeninfo>
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<mediaobject>
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<imageobject>
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<imagedata fileref="factorize.png" format="PNG"/>
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</imageobject>
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<textobject>
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<phrase>Exercise Factorization</phrase>
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</textobject>
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</mediaobject>
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</screenshot>
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<para>You can enter a factor by clicking on the prime <guimenu>factor
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buttons</guimenu>. The currently entered prime factors will be shown in the
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field next to the number to be factorized. You can remove the last entered
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prime factor by clicking on the <guimenu>Remove Last Factor</guimenu> button.
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</para>
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<para>
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After you have entered all prime factors click on the
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<guimenu>Check Task</guimenu> button. &kbruch; will check your input and
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present the correct result. After this step you will get to the next task by
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clicking on the <guimenu>Next Task</guimenu> button.
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</para>
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<para>In the screenshot at the top of this page you can see a <quote>*</quote>
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between the prime factors. This is the multiplication sign. The product of all
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prime factors must be the number you try to factorize.
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</para>
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<note>
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<para>
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You have to enter all prime factors even when a prime factor repeats several
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times. Example: As prime factors of number 18 you have to enter 2, 3 and 3.
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</para>
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</note>
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</sect1>
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</chapter>
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<chapter id="credits">
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<title>Credits and License</title>
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<para>&kbruch;</para>
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<para>
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Program and documentation Copyright, 2001-2004 Sebastian Stein
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<email>seb.kde@hpfsc.de</email>
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</para>
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<para>Thank you goes to:</para>
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|
<itemizedlist>
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|
<listitem><para>&Anne-Marie.Mahfouf; for managing the &kde;-edu project</para></listitem>
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<listitem><para>Klas Kalass for helping design the interface</para></listitem>
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<listitem><para>Eva Brucherseifer for writing <application>KMath</application> (&kbruch;'s &GUI; is based on this work)</para></listitem>
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<listitem><para>Dominique Devriese for bug fixing</para></listitem>
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<listitem><para><ulink url="http://www.net-tex.de/">Stefan Schumacher</ulink> for testing a very early version</para></listitem>
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<listitem><para><ulink url="http://www.guckes.net/">Sven Guckes</ulink> for testing the text interface (which has been removed)</para></listitem>
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<listitem><para>&David.Faure; for helping with &kde; <acronym>CVS</acronym> and &kde; Bugzilla</para></listitem>
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<listitem><para>&Robert.Gogolok; for helping with &kde; <acronym>CVS</acronym></para></listitem>
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<listitem><para>John Kesson for proof reading the handbook</para></listitem>
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</itemizedlist>
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<!-- TRANS:CREDIT_FOR_TRANSLATORS -->
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|
|
&underFDL; <!-- FDL: do not remove -->
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|
&underGPL; <!-- GPL License -->
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</chapter>
|
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<appendix id="installation">
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<title>Installation</title>
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<sect1 id="getting-kbruch">
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<title>How to obtain &kbruch;</title>
|
|
|
|
&install.intro.documentation;
|
|
|
|
</sect1>
|
|
|
|
<sect1 id="requirements">
|
|
<title>Requirements</title>
|
|
|
|
<para>
|
|
In order to successfully use &kbruch;, you need &kde; > 3.1 .
|
|
</para>
|
|
|
|
<para>
|
|
&kbruch; itself can be found
|
|
on <ulink url="http://edu.kde.org/kbruch/">the &kbruch; home page</ulink>
|
|
and it is part of the &kde;-edu project</para>
|
|
|
|
<para>You can find a list of changes in the <acronym>CVS</acronym> commit
|
|
messages.</para>
|
|
|
|
</sect1>
|
|
|
|
<sect1 id="compilation">
|
|
<title>Compilation and Installation</title>
|
|
|
|
&install.compile.documentation;
|
|
|
|
</sect1>
|
|
|
|
</appendix>
|
|
|
|
&documentation.index;
|
|
</book>
|