Nuffield Maths 4: 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, revision required and the stages of learning.

Place value - Addition by grouping ▪ Using multi-base board ▪ Abacus

Addition 1 - Adding tens ▪ Tens and units ▪ Conventional recording ▪ Further situations

Shape 1 - Turns and rotations ▪ Right angles ▪ Acute and obtuse angles ▪ Vertical, horizontal and perpendicular lines

Length 1 - Parts of a metre ▪ Perimeter ▪ Decimetre strip

Addition 2 - Introducing the hundred ▪ Adding hundreds, tens and units ▪ Word problems

Co-ordinates - Routes ▪ Points in a plane ▪ Forming shapes

Money 1 - Introduction to the pound note ▪ Reading amounts more than £1 ▪ Record money on the abacus ▪ Giving change up to £1

Volume and capacity 1 - How much is 100 millilitres ▪ Small measures ▪ Making a 100ml measure

Place value 2 - Subtraction by grouping ▪ Using multi-base board ▪ Abacus

Subtraction 1 - Simple two-digit subtraction ▪ Using decomposition ▪ Simple three-digit subtraction, regrouping of tens to units only

Weight 1- Smaller weights, counting and practical use ▪ Weighing accurately ▪ Using kg and g

Subtraction 2 - Three-digit numbers, regrouping of hundreds to tens and tens to units

Length 2 - The metre ruler ▪ Metre, decimetre and centimetre ▪ Using a decimal abacus ▪ Finding perimeter ▪ Using a measuring tape

Multiplication 1 - Square numbers to 100 ▪ Multiply tens by units

Area - Counting squares ▪ Irregular shapes ▪ Rectangles by calculation ▪ Conservation of area

Division 1 - Check using multiplication square ▪ Setting out ▪ Word problems

Fractions - Non-unit fractions ▪ Fraction families ▪ Adding to make one whole

Time - From one time to another ▪ Slow and fast clocks ▪ a.m. and p.m. ▪ The calendar

Multiplication 2 - Multiplying in parts, the distributive law ▪ Tens and units by units ▪ Word problems, patterns and magic squares

Money 2 - Recording amounts of money ▪ Other ways of saying prices ▪ Computation

Volume and capacity 2 - Using capacity measures ▪ Millilitres as fractions of a litre ▪ Marks on the 1 litre measures ▪ Measuring more than a litre

Division 2 - Larger numbers ▪ With remainders ▪ Word problems

Weight 2 - Scales with a dial, reading and recording ▪ Grams and kilograms, decimal notation ▪ Parts of a kilogram, relationship between kg fractions and grams ▪ Heavier than 1kg

Shape 2 - Axes of symmetry ▪ Properties of rectangles, triangles and shapes