Framework of Mathematics Curriculum

The attainment of problem solving ability is dependant on five inter-related components - Concepts, Skills, Processes, Attitudes and Metacognition.

1) Concepts refer to the basic mathematical knowledge needed for solving mathematical problems. They cover the following;

:: Numerical concepts
:: Geometrical concepts
:: Algebraic concepts
:: Statistical concepts

2) Skills refer to the topic-related manipulative skills that pupils are expected to perform when solving problems. They include

:: Estimation
:; Mental calculation
:: communication
:: use of mathematical tools
:: arithmetic manipulation
:: algebraic manipulation
:: handling data

3) Processes refer to the thinking and heuristics involved in mathematical problem solving. They cover three aspects:

:: deductive reasoning - includes processes such as logical thinking, duducing new information from existing information and drawing conculsions;

:: inductive reasoning - includes processes such as recognizing patterns and structures in mathematics and forming generalization;

:: heuristic for problem solving - includes strategies such as "using diagrams", "using tabulation", "looking for patterns", "working backwards" and "solving part of the problem".

4) Attitudes refer to the affective aspects of mathematics learning such as:

:: enjoying doing mathematics
:: appreciating the beauty and power of mathematics;
:: showing confidence in using mathematics.

5) Metacognitive refers to the ability to control one's own thinking processes in problem solving. This includes:

:: constant monitoring of strategies used in carrying out a task; -> seeking alternative ways of performaing a task;
:: checking the appropriateness and reasonableness of answers.