Tag Archives: teaching functions

What are the big ideas in function ?

Function is defined in many textbooks as a correspondence relationship between two quantities x and y such that for every x, there is one and only one value for y. Definitions are important to know but in the case of function, the only time students will ever use the definition of function as correspondence is when… Read More »

Teaching the concept of function

Mathematics is not just about the study of numbers and shapes but also about the study of patterns and relationships. Function, which can define some of these relationships, is an indispensable tool in its study. Function is the central underlying concept in calculus. It is also one of the key concepts of mathematics that can… Read More »

Assessing understanding of graphs of functions

Problems about graphs of functions can be grouped into interpretation or construction tasks. The tasks may involve interpreting individual points, an interval, or the entire graph. The same may be said about construction tasks. It may involve point-plotting,  a part of the graph, or constructing the whole graph. Tasks involving constructing graphs are considered more difficult than interpreting… Read More »

Levels of understanding of function in equation form

There are at least three representational systems used to study function: graphs, tables and equations. But unlike graphs and tables that are used to visually show the relationships between two varying quantities, students first experience with equation is not as a representation of function but a statement which state the condition on a single unknown quantity.  Also,… Read More »

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