Fun with ‘definitions’ in algebra

WARNING:  use the following definitions with great caution. A number phrase is a mathematical phrase which does not express a complete thought. An arithmetic expression is any grammatically sensible expression made up of numbers and

Five task ‘types’ that create opportunities for conceptual understanding

In his paper The Design of Multiple Representation Tasks To Foster Conceptual Development, Professor Malcolm Swan of University of Nottingham presented five types of tasks  that foster conceptual understanding of mathematical