The processes of inquiry and problem solving are basic to the study and use of mathematics, science, and technology. Through activities that require them to think creatively and systematically and communicate effectively, students develop the skills needed to conduct investigations, take the risks required for creative problem solving, and communicate their ideas to others.

Methods of Inquiry

Although different disciplines conduct investigations in different ways, most processes of inquiry include the following basic steps:

		1. posing and defining the question 2. suggesting a strategy or plan 3. testing the strategy or plan 4. analyzing results and proposing future activities 5. communicating findings as appropriate

One example of the different ways in which an inquiry process is described in each of mathematics, science, and technology is outlined below.

The mathematics problem-solving model Includes the following steps:

		1. understand the problem 2. make a plan 3. carry out the plan 4. look back over the work done 5. communicate the solution

The scientific method includes the following steps:

		1. ask the question 2. develop a hypothesis (propose an answer) 3. test the hypothesis by devising and conducting experiments 4. draw conclusions from the observations 5. confirm and revise the hypothesis 6. communicate the findings

The technology design process includes the following steps:

		1. develop a focus 2. develop a framework 3. develop a product 4. implement a plan 5. reflect on the process and product 6. present the result

The Common Curriculum. (Toronto, ON: Ministry of Education and Training, 1995), 79.

Note:

Inquiry is not confined to the study of Mathematics, Science and Technology. These particular descriptions are models from which others are developed.