This is an interesting talk:

Math >> Calculating

1. Pose the right questions.

2. Real world problem --> math formulation

3. Computation

4. Math formulation --> real world problem and verification

Maybe not spend so much time on step 3? Use computer programming to nail down understanding! These are very interesting ideas.

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## Thursday, December 30, 2010

### Math != Calculating

Labels:
education,
math,
programming,
teaching,
technology

## Thursday, December 2, 2010

### Adding and Subtracting Rational Expressions

To simplify a rational expression:

Step 1: Factor all denominators as a means to easily determine the LCD.

Step 2: Multiply by the appropriate factors to obtain equivalent terms with a common denominator.

Step 3: Add or subtract the numerators and place the result over the common denominator.

Step 4: Simplify the resulting algebraic fraction.

A more involved example follows:

It is always a good idea to state the restrictions. Remember that the restrictions are the values that produce zero in the denominator.

---

Step 1: Factor all denominators as a means to easily determine the LCD.

Step 2: Multiply by the appropriate factors to obtain equivalent terms with a common denominator.

Step 3: Add or subtract the numerators and place the result over the common denominator.

Step 4: Simplify the resulting algebraic fraction.

A more involved example follows:

It is always a good idea to state the restrictions. Remember that the restrictions are the values that produce zero in the denominator.

---

Labels:
add,
algebra,
elementary,
expression,
rational,
simplify,
subtract,
Video

### Mandelbrot Explorer using Flash

Give the below flash movie a minute to download. Move the looking glass over the picture and release it to zoom.

Labels:
embed,
flash,
fractal,
Mandelbrot,
orbit

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