ACMaths Guided Examples offer a better learning experience. Educational research has consistently shown that learning the processes for working exercises before tackling the exercises themselves provides better outcomes.
Learning the processes while working the exercises leads to what researchers call 'cognitive overload'. This means students are expending so much mental effort solving the exercises they fail to learn the processes. ACMaths Guided Examples concentrate on teaching the processes using an interactive approach. Some people call them interactive worksheets.
ACMaths Guided Examples encourage two good mental habits - look before you leap and check what you've done. Another benefit is, because the next step in a solution is hidden, they also help you avoid delusions of competence.
Now that you've read this far, the least you can do at this point is try it for yourself. Some practical advice here is to adopt a Zen attidude and just go with it.
Ways To Use The Samples
There are nine samples to choose from. You could pick any of
Getting The Most Out Of The Samples
Proportion
Sample One
Quadratic Expressions
Sample Three
Trigonometry - Right Triangles
Sample Five
Summarising Data
Sample Seven
Logarithms
Sample Nine
Here is a complete list of the lessons available arranged by Course Topics
Income Tax
Sample Two
Equations of Lines
Sample Four
Quadrilaterals and Parallelograms
Sample Six
Probability
Sample Eight
We have made no attempt to facilitate printing of either Lessons or Guided Examples. This is a deliberate omission on our part. Passive reading is one of the worst ways to learn maths and students should stop doing it.
The math typesetting system used in these pages renders 100% correctly in late versions of Firefox (39+). In late versions of Chrome and Safari, rendering is about 99% correct. There is sometimes a superfluous vertical line to the right of a formula or symbol.
If you have a slow internet connection, you may see red 'Math error' notices where there should be a formula. If this happens it means some Javascript has not been loaded. To fix it, press 'Refresh' or F5 and the error messages should be replaced with equations.