The book is developed around the following chapters:

**Chapter 1: The changing face of school mathematics**

Mathematics education and society

Teaching mathematics in modern society

Mathematics classrooms

New models of teaching mathematics

Content and pedagogy

What is mathematics?

Where does mathematics come from?

The mathematics curriculum

Integrating curriculum

Integrating mathematics with other curriculum areas

Numeracy

*Review Questions
Further reading
References*

**Chapter 2: Theories of learning mathematics**

Why study theories of learning mathematics?

Cognitive theories

Sociocultural theories: The influence of Vygotsky

Socially critical theories

Modern society

Theory into practice

*Review questions
Further reading
References*

**Chapter 3: Language and mathematics**

The language of mathematics

Word problems

Language error analysis

Mathematical literacies

Making pedagogy explicit

*Review questions
Further reading
References*

**Chapter 4: Diversity and equity**

Equity and equality

Cognitive models of difference

Social models of difference

Teachers' beliefs

Home–school differences

Knowledge and world-views

Implications for school mathematics

*Review questions
Further reading
References*

**Chapter 5: Planning for teaching **

Planning

Why plan?

Planning: What do I want to teach?

Teaching: How will I teach?

Evaluating teaching: How will I know whether it has been a success?

Planning the learning environment

Planning for substantive learning

*Review questions
Further reading
References *

**Chapter 6: Assessment**

Why assess?

Models of assessment

What to assess

Planning assessment

Assessment tools

Student writing

Tests

Rubrics

Opening up assessment

Communicating results

*Review questions
Further reading
References*

**Chapter 7: Working mathematically**

Working and thinking mathematically

Problem-solving

Problem-posing

Technology for thinking mathematically

Making connections

Communicating mathematically

*Review questions
Further reading
References*

**Chapter 8: Early number**

Number sense

Pre-number

Subitising: Group recognition

Counting

Conservation of number

Number benchmarks

Types of numbers

Numeration and place value

Addition and subtraction

Multiplication and division

*Review questions
Further reading
References*

**Chapter 9: Basic facts and mental computation **

Working flexibly with number

Basic facts of addition

Basic facts of subtraction

Addition and subtraction: Mental computation

Basic facts of multiplication

Basic facts of division

Mental computation and estimation

Promoting mental computation in the middle years

*Review questions
Further reading
References*

**Chapter 10: Written algorithms**

The value of concrete materials

Principles for using concrete materials

The addition algorithm

The subtraction algorithm

The multiplication algorithm

The division algorithm

Teaching written algorithms in the middle years

Summary

*Review questions
Further reading
References*

**Chapter 11: Rational number**

Common and decimal fractions

Whole number and rational number connections

Fractions

Decimals

Ratio and proportion

Promoting language and mental images of ratio and proportion

Rate

Per cent

Teaching rational number in the middle years

Summary

*Review questions
Further reading
References*

**Chapter 12: Patterns and algebra**

Patterning

Number, arithmetic and algebra

The importance of algebra in the primary school

Teaching algebra in the middle years

*Review questions
Further reading
References*

**Chapter 13: Measurement**

What is measurement?

Teaching measurement

Length

Area

Volume and capacity

Mass

Time

Temperature

Money

Making connections between sub-strands

Teaching measurement in the middle years

*Review questions
Further reading
References*

**Chapter 14: Chance and data**

What are chance and data?

Teaching chance

Data collection, representation and interpretation

Measures of central tendency

Statistical literacy: Interpretation of data representations

Teaching notes for graphing

Teaching chance and data in the middle years

*Review questions
Further reading
References*

**Chapter 15: Space**

Topics in the space strand

Visualisation

The van Hiele levels of geometric thinking

Teaching notes

Spatial concepts: Early activities

Shape and structure

Transformation and symmetry

Location and arrangement

Teaching space in the middle years

*Review questions
Further reading
References*

**Index **