The Science of Teaching math modules cover the teaching and learning of six key concepts in early numeracy:
(i) Numbers and Quantities,
(ii) Simple Addition and Subtraction,
(iii) Place Value,
(iv) Double-digit Addition and Subtraction,
(v) Foundations of Geometry, and
(vi) Simple Fractions.
Each module has a downloadable PDF version, and e-learning version:
Downloadable PDF modules are designed to be simple and flexible so that they can be used by different people (e.g. program implementers, teacher trainers and teachers), and in different circumstances (e.g. pre-service, in-service teacher training, ongoing professional development program). They provide content but are not prescriptive in how they should be implemented.
See the Implementation Guide for more information on using the downloadable modules.
Implementation Guide for Mathematics Mini-Modules
E-learning modules are designed so that they can be completed independently. Teachers are encouraged to take time to reflect on the activities, answer the questions posed in the mini modules, and discuss with other teachers.
The goal of this module is for teachers to identify and describe how children develop basic number skills, identify materials and strategies for teaching number and quantities, and develop new teaching practices for number and quantities.
This module has an introduction and four mini modules: Mini Module 1A – Count, Mini Module 1B – Compose, decompose and subitise, Mini Module 1C – understand, read and write numbers, and Mini Module 1D – compare numbers.
Module 1: E-learning Version
The goal of this module is for teachers to identify and describe how children develop understanding of addition and subtraction, identify various materials and strategies for teaching addition and subtraction, and develop new teaching practices for number and quantities.
This module has an introduction and three mini modules: Mini Module 2A – Understand Addition, Mini Module 2B – Understand Subtraction, and Mini Module 2C – Apply Addition and Subtraction.
Module 2: E-learning Version
The goal of this module is for teachers to identify and describe how children develop understanding of place value, identify materials and strategies for teaching place value, and develop new teaching practices for place value.
This module has an introduction and three mini modules: Mini Module 3A – Group ones and tens, Mini Module 3B – Understand the digits of numbers, Mini Module 3C – compare two- and three-digit numbers.
Module 3: E-learning Version
The goal of this module is for teachers to identify and describe how children develop understanding of addition and subtraction of two-digit numbers, identify materials and strategies for teaching addition and subtraction of two-digit numbers, and develop new teaching practices for addition and subtraction of two-digit numbers.
This module has an introduction and five mini modules: Mini Module 4A – Developing strategies for two-digit addition and subtraction, Mini Module 4B – Standard algorithm for adding two-digit numbers without regrouping, Mini Module 4C – Standard algorithm for adding two-digit numbers with regrouping, Mini Module 4D – Standard algorithm for subtracting two-digit numbers without regrouping, and Mini Module 4E – Standard algorithm for subtracting two-digit numbers with regrouping.
Module 4: E-learning Version
Introduction
Mini Module 4A: Developing Strategies for Two-Digit Addition and Subtraction
Mini Module 4B: Standard Algorithm for Adding Two-Digit Numbers without Regrouping
Mini Module 4C: Standard Algorithm for Adding Two-Digit Numbers with Regrouping
Mini Module 4D: Standard Algorithm for Subtracting Two-Digit Numbers without Regrouping
Mini Module 4E: Standard Algorithm for Subtracting Two-Digit Numbers with Regrouping
The goal of this module is for teachers to identify and describe how children develop basic understanding of geometry, identify materials and strategies for teaching the foundations of geometry, and develop new teaching practices for basic geometry.
This module has an introduction and three mini modules: Mini Module 5A – Two-dimensional (2D) shapes, Mini Module 5B – Three-dimensional (3D) shapes, and Mini Module 5C – Spatial reasoning.
Module 5: E-learning Version
The goal of this module is for teachers to identify and describe how children develop basic understanding of fractions, identify materials and strategies for teaching simple fractions, and develop new teaching practices for fractions.
This module has an introduction and three mini modules: Mini Module 6A – Fractions as part of a whole, Mini Module 6B – Fractions on a number line, Mini Module 6C – Fractions of a set, Mini Module 6D – Comparing simple fractions, Mini Module 6E – Equivalent fractions, and Mini Module 6F – Addition and subtraction of fractions.
Module 6: E-learning Version