# Number Sense: Representing

**Representing**

*“To develop a deep and meaningful understanding of mathematical concepts, students need to represent their ideas and strategies using a variety of models (concrete, physical, pictorial, oral, and symbolic).” *^{1}

Number sense requires students to engage in making connections among mathematical representations. These connections lead to a deeper understanding of the relationships that exist within and between numbers as well as broader mathematics concepts and problem-solving.

*“Because of the abstract nature of mathematics, people have access to mathematical ideas only through the representations of those ideas.”*^{2}

*Elementary Examples*

*Middle Years Examples*

*High School Examples*

^{1}Ministry of Education, S. (2020). Retrieved 20 June 2020, from https://curriculum.gov.sk.ca/bbcswebdav/library/curricula/English/Mathematics/Mathematics_1_2007.pdf p. 17

^{2} *Principles to actions; ensuring mathematical success for all.* NCTM, Reston, VA. *(National Research Council, 2001, p. 94*

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