Nuffield Maths 3: Teacher's Handbook

This resource, from Nuffield Foundation, provides clear guidance on the content, methods and timing appropriate at each stage of the Nuffield Maths 5 - 11 project, which was developed to promote students' understanding of the concepts, as well as proficiency in the basic skills of mathematics.

Each of the 24 chapters in the Teachers' Handbook contains a brief outline of what is being attempted in the chapter, where it is leading and what may need to be revised, as well as setting out the stages of learning.

Addition - Pairs that make 10 ▪ Addition square ▪ Commutative property

Shape 1 - Sorting and classifying, straight and curved lines ▪ Plane shapes with three or more sides ▪ Axes of symmetry

Place value - Tallying ▪ Practical examples

Length - Measuring with parts of the body, estimating ▪ Measuring with more than one unit ▪ Standard measures ▪ The metre ▪ The 10 centimetre rod

Addition - Counting on from 10, 20 ,30 ▪ Associate properties ▪ Patterns ▪ Inequalities ▪ Activities

Money - Analysis of coin values ▪ Make up amounts ▪ Finding the missing coins ▪ Giving change by counting on

Subtraction - Difference ▪ Taking away ▪ Counting back

Weight 1 - Experience of heaviness, leading to simple balance ▪ Estimating activities ▪ Comparing the weight of materials ▪ Towards the concept of conservation ▪ Towards a standardised measure ▪ Kilograms

Multiplication - As repeated addition ▪ Factors and products ▪ Hops along a number line ▪ Patterns ▪ Rows and columns as an introduction to commutativity

Time 1 - Minute divisions ▪ Simple fractions of an hour ▪ Counting any whole number of minutes

Capacity - Comparison of vessels ▪ Measure using suitable arbitrary measures ▪ Development of conservation, using a fixed amount of liquid in varying shaped containers.

Division - Sharing ▪ Repeated subtraction

Addresses on a grid - Counting across and up ▪ Naming squares on a map ▪ Codes

Shape 2 - 3-D Objects, edges, faces and corners ▪ Fitting solids together

Subtraction 2 - Patterns ▪ Complementary addition ▪ Word problems

Money 2 - Counting using 5p coins, mixed coins ▪ Shopping, bills ▪ Payment and change

Multiplication 2 - Commutativity ▪ Square numbers ▪ Times tables ▪ Vertical layout ▪ Magic squares

Length 2 - Measure lines in centimetres ▪ Drawing correct length ▪ Curved lines ▪ Measure up to 100cm ▪ Add and subtract centimetres

Introducing fractions - Equal parts ▪ Fractions of measures and sets

Time 2 - Counting hours ▪ Past and to the hour ▪ Intervals of time

Division 2 - Division and multiplication ▪ Remainders

Weight 2 - The hecto ▪ Weighing people in kilograms ▪ Using weights less than 100g

Area - Surfaces ▪ Counting squares

Capacity 2 and volume - Litres and half litres ▪ Cuboids, cubes and volume