## Number Sense:

Number sense refers to a general understanding of number and operations as well as the ability to apply this understanding in flexible ways to make mathematical judgments and to develop useful strategies for solving problems. In this strand, stu- dents develop their understanding of number by learning about different ways of representing numbers and about the relationships among numbers. They learn how to count in various ways, developing a sense of magnitude. They also develop a solid understanding of the four basic operations and learn to compute fluently, using a variety of tools and strategies.

A well-developed understanding of number includes a grasp of more-and-less relationships, part-whole relationships, the role of special numbers such as five and ten, connections between numbers and real quantities and measures in the environment, and much more.

Experience suggests that students do not grasp all of these relationships automatically. A broad range of activities and investigations, along with guidance by the teacher, will help students construct an understanding of number that allows them to make sense of mathematics and

to know how and when to apply relevant concepts, strategies, and operations as they solve problems.

A well-developed understanding of number includes a grasp of more-and-less relationships, part-whole relationships, the role of special numbers such as five and ten, connections between numbers and real quantities and measures in the environment, and much more.

Experience suggests that students do not grasp all of these relationships automatically. A broad range of activities and investigations, along with guidance by the teacher, will help students construct an understanding of number that allows them to make sense of mathematics and

to know how and when to apply relevant concepts, strategies, and operations as they solve problems.

Ontario Curriculum, Mathematics (grade 1-8), 2005