1. Philosophy of mathematics education for the 21 st century :

The goal of teaching mathematics is to help all students develop

**mathematical power**

ie to produce effective problem solvers and powerful mathematical thinkers.

2. Mathematics must be seen as an integrated whole ( not as a separate and unrelated topics),

as a part of human experience, emerging from everyday experience, interaction with science

and technology and other fields.

3. Spend more time on developing broad- based mathematical problem solving skills

( general problem solving techniques ie heuristics) and less time on perfecting routine

computations.

4. Teaching mathematics as problem solving

- problem solving as a means as well as a goal of instruction

- apply problem solving skills to solve problems in new contexts with emphasis on multi-steps

and non-routine problems.

- recognize and formulate (posing) problems from real word situations/phenomena

- mathematics is problem-centered and application- based

- subject to be investigated, discovered, explored and created

5. Problem solving is seen as the most important means to develop powerful mathematical thinkers.