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**Strategies that help students commit basic facts to memory include:**

- representing operations performed on numbers in different ways – for example, in concrete, pictorial, and symbolic ways.

– Focusing on the Fundamentals of Math – A Teacher’s Guide, p.4

## 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”.

### Mathematical Representations: Rethinking Representations (2:56)

From "Beyond Pictures Numbers and Words"

### Spatializing Instruction and Learning - Overall Description (3:36)

From "Spatial Reasoning in Number Sense and Numeration"

### Primary: Linking Language to Non-Verbal Reasoning (4:35)

From "Spatial Reasoning in Number Sense and Numeration"

### Scaling Up or Down - Key to Proportional Reasoning (5:27)

From "Spatial Reasoning in Number Sense and Numeration"

### Fosnot: All Models are Not Created Equal (4:33)

From "Leaders in Educational Thought: Mathematics 2013"

### Modelling Fractions (1:55)

From "Leaders in Mathematical Thinking 2016"

### Tools Reveal Understanding of Operations (3:37)

From "Spatial Reasoning in NSN, Non-Verbal Reasoning"

## 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.

#### Fractions Across the Curriculum – Capacity Building Series

#### 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 K-6, Number Sense and Numeration Vol 1, The Big Ideas

#### Paying Attention to Algebraic Reasoning

#### Paying Attention to Fractions

#### Paying Attention to Spatial Reasoning

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

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