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Becoming highly skilled at arithmetic requires the development of number sense alongside procedural and factual knowledge as well as the mathematical principles that govern how the operations are related to one another.

-Bruce & Chang, 2013, p. 14, citing Baroody & Dowker, 2003, quoted in “Focusing on the Fundamentals of Math – A Teacher’s Guide,” p.1

## Video Selections

These curated videos have been selected to help you gain a deeper understanding of the above selection from “Focusing on the Fundamentals of Math – A Teachers Guide”.

**Conceptual Understandings and Procedural Fluency (03:33)**

**Facilitative Prompts**

- Prior to viewing: What comes to mind when you think about how a specific task impacts learning? What would an educator be thinking about, doing, modelling and observing with students throughout the learning process?
- While viewing the video: What do you notice the teacher doing? What are the students doing? How does the instruction promote these behaviours or support understanding?
- After viewing: What key ideas emerged for you? What further learning might you and your school community engage in regarding strategies or processes that deepen understanding of number?

**Learning and Understanding Math Facts Using a String (16:21)**

**Facilitative Prompts**

- Prior to viewing: What comes to mind when you think about how a specific task impacts learning? What would an educator be thinking about, doing, modelling and observing with students throughout the learning process?
- While viewing the video: What do you notice the teacher doing? What are the students doing? How does the instruction promote these behaviours or support understanding?
- After viewing: What key ideas emerged for you? What further learning might you and your school community engage in regarding strategies or processes that deepen understanding of number?

**Scaling Up or Down – Key to Proportional Reasoning (05:27)**

**A Mini Lesson: Making Mathematics Explicit (08:02)**

## Text Resources

This curated list of documents have been selected to help you gain a deeper understanding of the above selection from “Focusing on the Fundamentals of Math – A Teachers Guide”. Each link will take you directly to the relevant section within the document.

#### A Guide to Effective Instruction in Mathematics Gr 1-3, Number Sense and Numeration

#### A Guide to Effective Instruction in Mathematics Gr K-3, Patterning and Algebra

#### A Guide to Effective Instruction in Mathematics Gr 4-6, Number Sense and Numeration, Vol 2, Addition and Subtraction

#### A Guide to Effective Instruction in Mathematics Gr 4-6, Number Sense and Numeration, Vol 3, Multiplication

#### A Guide to Effective Instruction in Mathematics 4-6, Number Sense and Numeration, Vol 4, Division

#### A Guide to Effective Instruction in Mathematics K-6, Vol 5, Teaching Basic Facts and Multidigit Computations

#### Paying Attention to Fractions K-6