Teaching Secondary Mathematics

Contents
Preface
How to use HOTmaths with this book
Acknowledgements
Part 1 Contemporary Issues in Learning and Teaching Mathematics
	Chapter 1 Introduction: the learning and teaching of mathematics
		Introduction
		Key terms
		Mathematics for the twenty- fi rst century
		Mathematical profi ciency and the Australian Curriculum
		Theories about how students learn mathematics
		Student engagement in learning  mathematics
		Summary
	Chapter 2 Language and mathematics
		Introduction
		Key terms
		Why language is important
		The mathematics register
		Language in the classroom
		Technical communication
		Summary
	Chapter 3 Making mathematical connections
		Introduction
		Key terms
		The importance of making mathematical connections
		What are mathematical connections?
		Teachers’ practices in promoting mathematical connections
		Science, technology, engineering and mathematics (STEM)
		Putting activities into practice
		Summary
	Chapter 4 Using technology in mathematics education
		Introduction
		Key terms
		Why use technology in the teaching and  learning of mathematics?
		Mathematics software
		Devices used for teaching, learning and doing mathematics
		Mathematics online
		Summary
	Chapter 5 Inquiry-based learning
		Introduction
		Key terms
		Student-centred learning in mathematics classrooms
		Teaching strategies that foster student- centred approaches
		Problem solving and modelling  in mathematics classrooms
		Inquiry-based learning in mathematics classrooms
		Collaborative and cooperative learning
		Summary
	Chapter 6 Gender, culture and diversity in the mathematics classroom
		Introduction
		Key terms
		Gender in the secondary mathematics classroom
		Culture in the secondary mathematics classroom
		Special needs learners in the secondary  mathematics classroom
		Summary
	Chapter 7 Assessing mathematics learning
		Introduction
		Key terms
		Why assess?
		What is assessment?
		Guidelines for creating assessments in secondary mathematics
		Providing feedback to students
		Summary
Part 2 Learning and Teaching Key Mathematics Content
	Chapter 8 Number and algebra
		Introduction
		Key terms
		The unknown, pronumeral and variable
		Algebraic expression problems
		The classification of linear equations
		Teaching and learning linear equations in a hierarchical level of complexity
		Algebraic problem- solving in real life contexts
		Transferability of algebraic problem-solving to the science curriculum
		Summary
	Chapter 9 Measurement and geometry
		Introduction
		The importance of learning geometry
		The importance of learning measurement
		Key terms
		The concept of geometric proof
		The concept of transformation
		Using technology in measurement and  geometry
		Summary
	Chapter 10 Statistics and probability
		Introduction
		Key terms
		The need for data and its collection 
		Descriptive statistics, tables and graphs
		Tabular and graphical displays
		Probability
		Putting it all together: statistical inference
		Summary
	Chapter 11 Functions: a unifying concept
		Introduction
		Key terms
		Functions and their settings
		Functions at the transition
		Developing functions through the early secondary years
		Functions in the senior secondary school
		Summary
	Chapter 12 Calculus
		Introduction
		Key terms
		Troublesome knowledge, threshold concepts and concept image
		What students need to know before beginning calculus
		Derivatives
		Reversing the process: anti-differentiation and integration
		Summary
References
Index