Number Sense and Numeration, Grade 4 to 6 (Volumes 1 - 6)
By Ministry of Eduction, Ontario
MoE,Ontario | ISBN: 1424924642 | 2006 | PDF | 13.7 mb

Number Sense and Numeration, Grades 4 to 6 is a practical guide, in six volumes, that teachers will find useful in helping students to achieve the curriculum expectations outlined for Grades 4 to 6 in the Number Sense and Numeration strand of The Ontario Curriculum, Grades 1–8: Mathematics, 2005. This guide provides teachers with practical applications of the principles and theories that are elaborated in A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 6, 2006.

The guide comprises the following volumes:
• Volume 1: The Big Ideas
• Volume 2: Addition and Subtraction
• Volume 3: Multiplication
• Volume 4: Division
• Volume 5: Fractions
• Volume 6: Decimal Numbers

This first volume of the guide provides a detailed discussion of the five “big ideas”, or major mathematical themes, in Number Sense and Numeration. The guide emphasizes the importance of focusing on the big ideas in mathematical instruction to achieve the goal of helping students gain a deeper understanding of mathematical concepts.
Volumes 2 to 6 of the guide focus on the important curriculum topics of addition and subtraction, multiplication, division, fractions, and decimal numbers, respectively. Each of these volumes provides:

• a description of the characteristics of junior learners and the implications those characteristics have for instruction;
• a discussion of mathematical models and instructional strategies that have proved effective in helping students understand the mathematical concepts related to the topic;
• sample learning activities, for Grades 4, 5, and 6, that illustrate how a learning activity can be designed to:
– focus on an important curriculum topic;
– involve students in applying the seven mathematical processes described in the mathematics curriculum document;
– develop understanding of the big ideas in Number Sense and Numeration.