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Workshop on using freeware to enhance learning and teaching of Mathematics in secondary schools
Simon Leung
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Programme Description
1. Introduction of popular freeware on Mathematics (e.g. WinGeom, WinPlot and Winstats).
2. Hands-on practice of using some of the freeware.
3. Experience sharing on using freeware to design teaching and learning materials for Mathematics in secondary schools.
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Why use the software?
• Free
• Can Save file
• Student can use it at home
• Easy Installation
• Exploring/ Discovering Learning
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Software Installation
• Create a new folder “maths” in c:\
• Download the software from
• http://math.exeter.edu/rparris or• http://iclassroom.hkedcity.net/teacher/maths • Send the shortcut to Desktop
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Launch the program
• Click the WinGeom Icon(yellow triangle icon)
• At the green screen, select Window 2-dim• Maximise to fill your screen
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The WinGeom
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Basic Function-Use of ToolBar
• Start afresh with a clean sheet on the screen
• Btns-> Toolbar• Select Segments• Right click to plot point• Left click and drag to create line se
gment• Or Choose LINE SEGMENT to
create segment
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Create the following diagram
Use of the segment, rays, lines, circles and drag vertices
If the label overlap the point, choose Edit Label Offset
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Text edit
• Select text edit
• Mouse over the point and right click
• Change the label
• Or Edit Label SWAP
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Measuring Angles, Lengths and Area
• Draw a traingleMeas • Enter AB for the length
of segment AB.
• Enter <ABC for the size (in degrees) of angle ABC.
• Enter ABC for the area oftriangle ABC.
• Enter [slope](A,B) for the slope of a segment AB
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By observation, Student draw conclusion for
• Angle sum of triangle
• Properties of Isosceles Triangle
• ……
To extend a line, Choose LINE EXTENSIONS
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Teaching Pythagoras Theorem Using WinGeom
Download the source file from iclassroom
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Using WinPlot to Plot Graph
•Click the WinPlot
Solve y=(x-1)/2
y=(-2x+12)/3
Graphically
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Set the Grid
• View Grid
• Adding a grid to your graph.
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To plot the graph
•Equa Explicit
•Input the equation (x-1)/2 in the dialogue box .A line will be plotted
•Use Page up and Page Down to zoom in and zoom out
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To show the equation
• Choose Equa Inventory
• Changing the width and color of your function.
To move the equation towards the line, choose Btns Text
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To find the point of intersection
• Two Intersection
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Viewing window
• To move around the plane. Using the Page Up and Page Down
• To Specifying the corner points in the graph window. Choose View View
• To redraw. Choose View Redraw
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Copy image from WinPlot to Word
• Importing the function into Word.
• Importing a number line into Word.
More WinPlot Skills from http://spot.pcc.edu/~ssimonds/winplot/
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• Start up the program
• Window simulation roll dice
Winstat
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Practice and Time to break
• Practice WinPlot by yourselves
• Give Feedback
• Fill in the course evaluation
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Dice Simulation
• Edit Parameter
• Edit Size of Dice
• Edit Numerals
• Function Key “F1” to do the simulation
Tally
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Useful Link1. Peanut Software Homepage
– http://math.exeter.edu/rparris/
2. The Peanut Software Database Project
– http://www2.spsu.edu/math/Dillon/Peanutdocs/
3. Video for using Winplot
– http://spot.pcc.edu/~ssimonds/winplot/
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Useful Link
4. Instructions for Using Winplot– http://matcmadison.edu/alehnen/winptut/winpltut.htm
5. 數學教學資料– http://cd.emb.gov.hk/maths/kla_c.asp
• 教學資源— >教學資料運用資訊科技