Interactive Subtraction Demonstration
2015-12-22 21:01
Created by students from I-Shou University, this GeoGebra applet is designed to demonstrate and practice subtraction operations. Utilizing input boxes, buttons, and text objects, users can enter numbers and observe the subtraction process and results step by step. Incorporating commands such as Sequence, this interactive tool dynamically generates visual representations of subtraction problems, allowing learners to see how the operation unfolds numerically and visually. The applet is ideal for basic arithmetic teaching, helping students intuitively grasp the fundamental concepts and rules of subtraction through hands-on exploration. Educators can use it in the classroom to supplement traditional instruction, while students can independently practice subtraction at their own pace, receiving immediate feedback on their calculations. The seamless integration of dynamic geometry commands with text display ensures that both the procedural steps and final answers are clearly presented, reinforcing conceptual understanding alongside computational fluency.
Loading the math board and drawing, please wait…
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.188.0" id="a80cddf7-2114-45d7-8818-b47df7616f86" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="1936" height="1176" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.10330578512396695" orientation="1" />
</panes>
<views>
<view id="4097" visible="false" inframe="true" stylebar="true" location="1,1,1,1" size="400" window="490,223,700,564" />
<view id="4" toolbar="0 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="false" location="1,1" size="300" window="100,100,600,400" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 1009 || 66 68 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
<view id="1" visible="true" inframe="false" stylebar="true" location="1" size="1704" window="100,100,600,400" />
<view id="2" visible="true" inframe="false" stylebar="false" location="3" size="200" window="100,100,250,400" />
<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" toolbar="0" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="512" visible="false" inframe="false" stylebar="false" location="1" size="300" window="50,50,500,500" />
</views>
<toolbar show="true" items="0 39 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24 20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49 50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
<input show="true" cmd="true" top="true" />
<dockBar show="true" east="true" />
</perspective>
</perspectives>
<labelingStyle val="0"/>
<font size="12"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="1704" height="984"/>
<coordSystem xZero="510.00000000000006" yZero="517.0" scale="50.000000000000036" yscale="50.00000000000003"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="0"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0"/>
<coordStyle val="0"/>
<angleFromInvTrig val="false"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<construction title="減法" author="" date="">
<element type="numeric" label="n">
<value val="5.0"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="m">
<value val="2.0"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<command name="Textfield">
<input a0="n"/>
<output a0="inputBox1"/>
</command>
<element type="textfield" label="inputBox1">
<show object="true" label="true"/>
<objColor r="0" g="0" b="204" alpha="1.0"/>
<layer val="0"/>
<labelOffset x="311" y="582"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<fixed val="true"/>
<auxiliary val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<linkedGeo exp="n"/>
<caption val="被減數"/>
</element>
<expression label="text2" exp=""" + n + """ />
<element type="text" label="text2">
<show object="true" label="true"/>
<objColor r="0" g="0" b="204" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="-0.9800000000000004" y="-6.200000000000005" z="1.0"/>
</element>
<command name="Textfield">
<input a0="m"/>
<output a0="inputBox2"/>
</command>
<element type="textfield" label="inputBox2">
<show object="true" label="true"/>
<objColor r="51" g="0" b="0" alpha="1.0"/>
<layer val="0"/>
<labelOffset x="337" y="653"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<fixed val="true"/>
<auxiliary val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<linkedGeo exp="m"/>
<caption val="減數"/>
</element>
<expression label="text1" exp=""" + m + """ />
<element type="text" label="text1">
<show object="true" label="true"/>
<objColor r="51" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="2.4200000000000013" y="-6.140000000000009" z="1.0"/>
</element>
<expression label="sum" exp="n - m" />
<element type="numeric" label="sum">
<value val="3.0"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<expression label="text3" exp=""" + sum + """ />
<element type="text" label="text3">
<show object="true" label="true"/>
<objColor r="102" g="0" b="153" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="5.300000000000008" y="-6.059999999999999" z="1.0"/>
</element>
<expression label="text4" exp=""被加數""/>
<element type="text" label="text4">
<show object="false" label="true"/>
<objColor r="0" g="0" b="204" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="-1.540000000000002" y="-4.7600000000000104" z="1.0"/>
</element>
<expression label="text5" exp=""加數""/>
<element type="text" label="text5">
<show object="false" label="true"/>
<objColor r="51" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="2.0800000000000005" y="-4.780000000000005" z="1.0"/>
</element>
<expression label="text6" exp=""商""/>
<element type="text" label="text6">
<show object="false" label="true"/>
<objColor r="75" g="0" b="130" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="1"/>
<startPoint x="5.280000000000002" y="-4.720000000000007" z="1.0"/>
</element>
<expression label="text7" exp=""=""/>
<element type="text" label="text7">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="3.9200000000000017" y="-4.800000000000004" z="1.0"/>
</element>
<expression label="text8" exp=""+""/>
<element type="text" label="text8">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="0.8799999999999992" y="-4.780000000000003" z="1.0"/>
</element>
<command name="Sequence">
<input a0="(k, 3)" a1="k" a2="1" a3="n"/>
<output a0="list1"/>
</command>
<element type="list" label="list1">
<show object="true" label="true"/>
<condition showObject="b"/>
<objColor r="0" g="204" b="0" alpha="0.0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="9"/>
<pointStyle val="0"/>
</element>
<command name="Sequence">
<input a0="(l, 2)" a1="l" a2="1" a3="m"/>
<output a0="list2"/>
</command>
<element type="list" label="list2">
<show object="true" label="true"/>
<condition showObject="c"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="9"/>
<pointStyle val="-1"/>
</element>
<element type="line" label="a">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<coords x="0.0" y="1.0" z="-1.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="explicit"/>
</element>
<expression label="text9" exp=""" + n + "個圈圈"" />
<element type="text" label="text9">
<show object="true" label="true"/>
<condition showObject="b"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="-1.6599999999999997" y="2.900000000000001" z="1.0"/>
</element>
<expression label="text11" exp=""=" + sum + "個圈圈"" />
<element type="text" label="text11">
<show object="true" label="true"/>
<condition showObject="d"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="-2.4000000000000012" y="-0.03999999999999994" z="1.0"/>
</element>
<expression label="text12" exp=""+""/>
<element type="text" label="text12">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="1"/>
<startPoint x="0.7400000000000655" y="-6.06000000000001" z="1.0"/>
</element>
<expression label="text13" exp=""=""/>
<element type="text" label="text13">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="1"/>
<startPoint x="3.8600000000000634" y="-6.100000000000013" z="1.0"/>
</element>
<expression label ="b" exp="b:false"/>
<element type="boolean" label="b">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="193" y="347"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<caption val="確認"/>
</element>
<expression label ="c" exp="c:false"/>
<element type="boolean" label="c">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="193" y="399"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<caption val="再確認"/>
</element>
<element type="button" label="button1">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="802" y="579"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="b=!b b=true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<caption val="輸入"/>
</element>
<element type="button" label="button2">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="805" y="651"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="c=!c c=true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<caption val="輸入"/>
</element>
<element type="button" label="button3">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="802" y="729"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="d=!d d=true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<caption val="答案"/>
</element>
<element type="button" label="button4">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="916" y="727"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="d=!d b=!b c=!c d=false b=false c=false"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<caption val="清除"/>
</element>
<expression label="text14" exp=""和""/>
<element type="text" label="text14">
<show object="false" label="true"/>
<objColor r="75" g="0" b="130" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="1"/>
<startPoint x="5.2800000000000615" y="-4.800000000000007" z="1.0"/>
</element>
<command name="Sequence">
<input a0="(j, 0)" a1="j" a2="1" a3="m"/>
<output a0="list3"/>
</command>
<element type="list" label="list3">
<show object="true" label="true"/>
<condition showObject="d"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="9"/>
<pointStyle val="2"/>
</element>
<command name="Sequence">
<input a0="(u, 0)" a1="u" a2="m + 1" a3="n"/>
<output a0="list4"/>
</command>
<element type="list" label="list4">
<show object="true" label="true"/>
<condition showObject="d"/>
<objColor r="0" g="204" b="0" alpha="0.0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="9"/>
<pointStyle val="-1"/>
</element>
<expression label="text10" exp=""-" + m + "個圈圈"" />
<element type="text" label="text10">
<show object="true" label="true"/>
<condition showObject="c"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="-2.2" y="1.8600000000000003" z="1.0"/>
</element>
<expression label="text15" exp=""被減數""/>
<element type="text" label="text15">
<show object="true" label="true"/>
<objColor r="51" g="51" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="1"/>
<startPoint x="-1.6400000000000001" y="-4.559999999999998" z="1.0"/>
</element>
<expression label="text16" exp=""減數""/>
<element type="text" label="text16">
<show object="true" label="true"/>
<objColor r="51" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="1"/>
<startPoint x="2.179999999999997" y="-4.5399999999999965" z="1.0"/>
</element>
<expression label="text17" exp=""差""/>
<element type="text" label="text17">
<show object="true" label="true"/>
<objColor r="75" g="0" b="130" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="1"/>
<startPoint x="5.079999999999995" y="-4.539999999999997" z="1.0"/>
</element>
<expression label="text18" exp=""_""/>
<element type="text" label="text18">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="0.8599999999999985" y="-4.3599999999999985" z="1.0"/>
</element>
<expression label="text19" exp=""_""/>
<element type="text" label="text19">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="0.8799999999999983" y="-5.839999999999997" z="1.0"/>
</element>
<expression label="text20" exp=""=""/>
<element type="text" label="text20">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="2.0" size="12" style="0"/>
<startPoint x="3.799999999999995" y="-4.5799999999999965" z="1.0"/>
</element>
<expression label ="d" exp="d:false"/>
<element type="boolean" label="d">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="206" y="492"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<caption val="答案"/>
</element>
</construction>
</geogebra>