"Representing operations performed..." - Math TheLearningExchange

Home > Teacher’s Guide > Page 4 > “Representing operations performed…”

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”.

Rethinking Representations Spatial Visualization: In The “mind’s Eye”Visual Concrete And Digital Tools For Thinking Representations Using Linear & Area Models Spatializing The Curriculum

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"

Sources of the videos above

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.

$Fractions Across the Curriculum - Capacity Building Series THUMBNAIL$

Fractions Across the Curriculum – Capacity Building Series

$A Guide to effective instruction in mathematics gr 1-3 Number sense and numeration - THUMB$

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

$A Guide to Effective Instruction in Mathematics K-3, Patterning and Algebra THUMBNAIL$

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

General Principles of Instruction, pp. 5-6

$A Guide to Effective Instruction in Mathematics, K-6, Number Sense and Numeration Vol 1, The Big Ideas THUMBNAIL$

A Guide to Effective Instruction in Mathematics, Gr K-6, Number Sense and Numeration Vol 1, The Big Ideas

$Paying Attention to Algebraic Reasoning THUMBNAIL$

Paying Attention to Algebraic Reasoning

Making Connections among Representations, p.15

$Paying Attention to Fractions THUMBNAIL$

Paying Attention to Fractions

Unit Fractions, pp.22-23

$Paying Attention to Spatial Reasoning THUMBNAIL$

Paying Attention to Spatial Reasoning

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

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

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

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

Return to Guide