The IntMath Newsletter – June 2007
[15 Jun 2007]
You are receiving the IntMath Newsletter either because you signed up, asked a question, wrote a comment or complimented
1. This month’s math tip
2. Apology for name inclusion
3. Downtime on Sunday 17th June
4. Poll results
5. Latest from the math blog
1. This Month’s Math Tip: ESTIMATE, SOLVE, THEN CHECK
* Dive into your math homework and try to finish it off in the shortest possible time?
* Get some answers, close the book, then move on to do something else?
* Have no idea if your answers are correct?
[I've come across many students who do all of the above and don't even check their answers in the original question, let
alone from the back of the book...! Also, I'm amazed how many students come out of a test and have 'no idea' whether they did
The problem with the above approach is that it is like the lottery. Sometimes you strike it lucky and get the correct answer – many times you do not. And in the end, you don’t even know WHY you got some of the questions right.
One way around this problem is to use Estimate – Solve – Check.
This simple process is useful for math word problems – and for examinations.
ESTIMATE your answer first and write it down. If you know the answer should be around 10 cm, and then your final answer is 25 cm, you know something has gone wrong. But if your final answer is 9.4 cm, you can relax because it is reasonable. The ESTIMATE step really helps your understanding of the problem.
SOLVE the problem by setting up the equation and finding the required value. WRITE A SENTENCE for your answer. This helps you to make sure you are correctly finding what the question requires. In general, if you are solving a word problem, give the final answer in sentence form.
CHECK your answer against your estimate. Then, if it is close, check your answer in the equation you originally set up. Finally, check your answer in the back of the book.
For examples of the approach I am talking about, see: Applied Verbal Problems
Also, see the first question on this page: Logarithmic and Exponential Equations
For each question, I have made an estimation, I have solved the problem and then I have checked the solution. I can be sure it
is correct – I don’t even need to check the back of the book
Experience that ‘warm inner glow’ from KNOWING your answer is correct – and that you have learned something valuable about the
problem in the process.
In the May IntMath Newsletter, a small number of readers were surprised to see their own names mixed up with the Testimonials
that I included. This was due to a strange server glitch. I apologise to you if you were affected.
3. DOWNTIME ON SUNDAY 17TH JUNE 2007
Due to server maintenance, Interactive Mathematics will not be available for 2 hours on Sunday 17th June.
Australia: 1500 to 1700 EST
Singapore: 1300 to 1500
India: 1030 to 1230 (Mumbai)
UK: 0500 to 0700
USA: 0300 to 0500 (New York)
Sorry for any inconvenience.
4. LATEST POLLS
Who are you? Why did you come to Interactive Mathematics?
See what 2,000 readers said at Intmath Polls.
The current poll asks when is the best time of the day for you to study mathematics. You’ll find the poll on every page in the
5. LATEST FROM THE MATH BLOG:
1) FRACTALS – THE COLORS OF INFINITY
Everything you wanted to know about fractals – in a movie.
2) SKILLS YOUR CHILD NEEDS TO KNOW THAT SHE’S NOT GETTING IN SCHOOL
Everyone has pet views on what should be taught in schools. This list is a good one.
3) TOWARDS MORE MEANINGFUL MATH NOTATION
One of the many confusions in mathematics is the way it is written. Here’s a suggested alternative, for functions and
concepts that do not follow simple algebra rules.
4) WHAT’S IN YOUR PRIVATE MATH UNIVERSE?
Some interesting videos showing how students develop mathematics concepts.
5) INDEXED – A FUN, WACKY BLOG
Indexed is a fun, thought-provoking math-inspired blog.