1 Workshop on using freeware to enhance learning and teaching of Mathematics in secondary schools Simon Leung

2 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.

3 Why use the software? Free Can Save file Student can use it at home Easy Installation Exploring/ Discovering Learning

4 Software Installation Create a new folder “maths” in c:\ Download the software from or Send the shortcut to Desktop

5 Launch the program Click the WinGeom Icon(yellow triangle icon) At the green screen, select Window  2-dim Maximise to fill your screen

6 The WinGeom

7 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 segment Or Choose LINE  SEGMENT to create segment

8 Create the following diagram Use of the segment, rays, lines, circles and drag vertices If the label overlap the point, choose Edit  Label  Offset

9 Text edit Select text edit Mouse over the point and right click Change the label Or Edit  Label  SWAP

10 Measuring Angles, Lengths and Area Draw a traingle  Meas Enter AB for the length of segment AB. Enter <ABC for the size (in degrees) of angle ABC. Enter ABC for the area of triangle ABC. Enter [slope](A,B) for the slope of a segment AB

11 By observation, Student draw conclusion for Angle sum of triangle Properties of Isosceles Triangle …… To extend a line, Choose LINE  EXTENSIONS

12 Teaching Pythagoras Theorem Using WinGeom Download the source file from iclassroom

13 Using WinPlot to Plot Graph Click the WinPlot Solve y=(x-1)/2 y=(-2x+12)/3 Graphically

14 Set the Grid View  Grid Adding a grid to your graph.

15 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

16 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

17 To find the point of intersection Two  Intersection

18 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

19 Copy image from WinPlot to Word Importing the function into Word. Importing a number line into Word. More WinPlot Skills from

20 Start up the program Window  simulation  roll dice Winstat

21 Practice and Time to break Practice WinPlot by yourselves Give Feedback Fill in the course evaluation

22 Dice Simulation Edit  Parameter Edit  Size of Dice Edit  Numerals Function Key “F1” to do the simulation Tally

23 Useful Link 1.Peanut Software Homepage – 2.The Peanut Software Database Project – / 3.Video for using Winplot –

24 Useful Link 4.Instructions for Using Winplot – 5. 數學教學資料 – 教學資源 —> 教學資料  運用資訊科技