Levels of Abstraction

Click each step to learn more.

Problem

The first step is for students to read the problem, identify things that change in the situation and select those that represent essential features.

Formulate

The second step has students formulating a model by creating and selecting pictures, graphs, tables and algebraic or statistical representations that describe relationships between the things changing.

Compute

The third step has students analyzing and performing operations on these relationships to draw conclusions.

Interpret

The fourth step has students interpreting the results of the mathematics in terms of the original situation.

Validate

The fifth step has students validating the conclusions by comparing them with the situation, and then either improving the model by returning to the formulate step or moving on to the last step if it is acceptable.

Report

The last step has the students reporting on the conclusions and the reasoning behind them.