1. Understanding and Teaching Primary Mathematics Chapter 1 Teaching and Learning Primary Mathematics

2. Key topics
The chapter describes what is meant by the following three forms of subject knowledge:
Mathematical subject matter knowledge
Curriculum subject knowledge
Pedagogical subject knowledge

3. Starting Point X 8 2
1/2 5
1/4 10 4 6 3 7 9 12

4. Why is subject knowledge important?
Think of your best ever teacher of mathematics. List three qualities that they had.
How do you think these qualities related to their mathematical subject knowledge? Discuss this with a partner.

5. Three forms of subject knowledge
I have good mathematical subject matter knowledge (I understand the mathematics that I have to teach)
I have good curriculum subject knowledge (I know the requirements of the curriculum)
I have good pedagogical subject knowledge (I can make good choices of activities to support pupils in learning mathematics)

6. Misconceptions
Find examples which show these statements are misconceptions:
Multiplication always makes numbers bigger
Division always makes numbers smaller
The more digits a number has the larger its value
All rectangles with perimeter 12cm will have the same area

7. A framework for teaching mathematics
Problem solving using mathematics
Number: counting; place value; fractions, decimals and percentages
Number: knowing and using number facts
Number: calculations
Algebra
Geometry
Measurement
Statistics

8. Foundations for learning mathematics
Counting reliably with numbers 1 to 20
Placing numbers in order and saying which number is 1 more or less than a given number
Using practical materials to add and subtract two single-digit numbers by counting on or back to find the answer
Using practical materials to solve problems including doubling, halving and sharing
Using everyday language to talk about size, weight, capacity, position, distance, time and money
Comparing quantities and objects by their properties
Recognising, creating and describing patterns
Exploring characteristics of everyday objects and shapes using mathematical language to describe them