MATHGYM
An Introduction to Mathematical Problem Solving

 

  Hi there! I'm going to show you how to register and use the tutorial. You should have this information with you each time you use MATHGYM in the future. You might want to print this information out - to do so click the RIGHT mouse button and select "Print".

A. Introduction
MATHGYM contains challenging mathematics problems similar to ones found in most mathematics competitions. The problems occur in ten pairs. In the first of the pair, the "Training Problem", I introduce you to the strategies and skills needed to solve that particular type of problem. As this is the "teaching" problem, I also provide you with hints and background theory to help you solve the problem. The second of the pair, the "Bonus Problem" is often a "parallel" type of problem. That is, the strategy introduced in the Training Problem is useful in the solution to the Bonus Problem. After you have completed the problems, you can print out a certificate which summarises your progress. At MATHGYM you can also learn about some of the History of Mathematics and play some interesting logic and number facts games.

Because MATHGYM is on the internet, you can access it from anywhere in the world at any time. It is designed so that when you log on you can continue from where you finished your last session - I keep a running record of your progress.

B. How to register for the Free DEMONSTRATION
To get started, you first need to register with MATHGYM by following these steps:

  1. Make sure that the screen size is set to 800 by 600 pixels.
  2. Go on-line and link to MATHGYM at http://www.mathgym.com.au
  3. Click on the button called "DEMONSTRATION " at the left of screen and maximise the window which appears.
  4. Enter your first name, last name, and password in the spaces provided. Do not enter anything in the "User Number" space as I will give you your user number when you register. Click the button "Click to Submit" , check that your data is correct, and then click "OK".
  5. Your user number and the information you provided will appear on screen. Copy the table below and carefully write in this information (especially any uppercase), because you will need it to log on to the tutorial in future. Click the link to the "Demonstration" to return to the Log-on page.
    User NumberFirst NameLast NamePassword
        
  6. Now re-enter all your data (exactly as you have just written it down - especially any uppercase) including your user number and click the button "Click to Submit" , check that your data is correct, and then click "OK".
  7. Your are now logged on to MATHGYM!
  8. Next time you wish to log-on to MATHGYM click "DEMONSTRATION " and re-enter all your data as in step 6.

C. How to Use
The Tutorial works as follows:
STEP 1 - Read and solve the problem. I will give you a TRAINING problem to solve. Each time you start a TRAINING problem you will be given 10 points. Read through the problem carefully, get a solution and enter it in the space 'Answer here:' provided at top left of screen.

STEP 2 - Check your answer. Then click the button 'Ballpark' to see if your answer is in the 'ballpark' of my solution, or click the button 'Answer' if you are confident of your solution and you want to see if you have had success.

If your solution is correct you will score the 10 points. If your solution is incorrect you will lose 1 point.

You are not penalised for clicking 'Ballpark' because trying to 'guess' an answer is a good problem solving starting strategy. If you click on the button 'Strategies' you can get more tips on Mathematical Problem Solving.

STEP 3 - Get a Hint? If you are having difficulty, you can buy a HINT by clicking the button 'Hint' (the first hint is free but the next two will cost you 2 points each) - then try the problem again. You will be given up to three hints to help you with the solution. The hints often have a short lesson on the theory behind the TRAINING problem. At any time, you can look at the theory behind the problems by clicking the 'Theory Notes' button.

STEP 4 - No Success? When you have lost the 10 points for the TRAINING problem you will be shown the correct solution. Make sure you study this solution.

STEP 5 - Solve the Bonus question. After you have found the correct solutionfor te TRAINING problem or it is shown to you, you are instructed to click the button 'Bonus' which gives you a similar type of problem to solve. If you have learnt the techniques of the first problem you can pick up 5 bonus points for a perfectly correct answer. No hints or 'Ballparks' are given for the bonus question, so it is essential that you understand the solution to the TRAINING Problem. To make sure that you do understand this type of problem I won't let you progress until you have the solution. This may sound a bit tough but I know that you want to learn and this is one way that I can help. I suggest, that if you are really stuck you should talk it over with your teacher or some other mathematical friend. Just discussing the problem sometimes helps.

STEP 6 - Next Problem After you have solved the Bonus problem you start all over again on a completely new type of TRAINING problem by clicking the button 'Next Problem'.

If all this is a bit confusing don't worry, if you don't know what to do next - just click the 'What do I do Now?' button and I will tell you what you need to do next.

STEP 7 - Award Time! After you have finished a SET (of 10 question types) you will be shown a certificate which awards medals for your attemps on each question. You win a GOLD medal if you have lost only 2 points total for the TRAINING and BONUS problem; a SILVER medal if you are able to get 6 or more points; otherwise you will be awarded a BRONZE medal (for getting out the BONUS problem). You can also print this certificate out.

STEP 8 - Finished for the day? When it is time for you to finish, click on the button 'End Session' and your progress to date will be saved for you. When you join me again you can pick up where you left off.


Back to Log-on page.