′What a super book! It is absolutely packed with practical ideas and activities to help you love maths, and love teaching and/or learning it. It certainly helps to develop an enthusiasm for a subject most adults tend to say "I′m no good at..."′ - Early Years Educator ‘A wonderful book, packed with practical ideas and activities to help all students love maths.’ - Jo Boaler, Professor of Mathematics Education, Stanford University Fostering an enthusiasm for mathematics in young children is a vital part of supporting their mathematical development. Underpinned by subject and pedagogical knowledge, case studies and research-based perspectives, the authors provide clear guidance on how to support young children′s learning and understanding in an effective and engaging way. Contemporary approaches to developing essential mathematical learning for young children are explored, including: play, practical activities and talk for mathematics outdoor learning understanding pattern counting, calculation and place value measures and shape problem solving and representing mathematics assessment working with parents. Written for both trainees and practitioners working with children aged 0 to 8 years, including those studying for Early Years and Early Childhood degrees and those on Primary PGCE and Primary Education courses, this book offers mathematical subject knowledge and teaching ideas in one volume. Helen Taylor is Course Leader of PGCE Primary Part-time Mathematics at Canterbury Christ Church University. Andrew Harris is Course Leader of PGCE Modular Mathematics at Canterbury Christ Church University.

In this reader, maths teachers in the early years of their careers will find a concise yet comprehensive guide to developments in mathematics teaching in secondary schools and the controversies which currently surround it. After a brief summary of the historical context, a series of short articles provides a range of perspectives on various issues of current debate which will help new teachers in the development of their own teaching styles. These include the impact of computers and calculators in maths teaching, the various arguments about the use of published schemes and for more investigational approaches to the curriculum, and the way in which social and cultural factors can be approached through the teaching of various topics in mathematics. The final section looks at how teachers might continue their professional development through action research in their own classrooms.

This is a summary of the research in all the major topics of interest and concern to teachers of mathematics, from primary (elementary) to secondary (high) schools. It is directed towards students, in-service teachers, maths advisers and tutors.

Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special attention is paid to the topic approach and mathematics across the curriculum. The assessment of mathematical attainment is also dealt with thoroughly. Teachers will find this book an invaluable companion in their day-to-day teaching.

"Real students... Real teaching... Real learning!" Try it! This hands-on text takes an ACTIVE approach to teaching mathematics in grades K-8. Activities are embedded in each chapter for adult learners to complete to ensure that they are grasping the mathematics. Completing these activities provides future teachers with invaluable insight into how children think about and learn math, thereby equipping them with the skills to make sound instructional decisions. See it! Throughout the book and on the enclosed "Understanding Children's Mathematical Thinking" VideoWorkshop CD-ROM, we see coauthor Karen Bush Hoiberg in action. A presidential award-winning elementary teacher, Karen provides a multitude of practical applications and real-world examples to give preservice teachers insight into how children think mathematically. Teach it! The text is organized around four general themes within each major mathematical content area: thinking about the mathematics, learning theories, the role of the teacher, and making algebraic connections. By actually DOING mathematics while analyzing learning theory, novice or preservice teachers are able to connect chapter concepts to actual classroom teaching practices. ""Many methods books assume that their readers know very little about learning theory and proceed to either overwhelm their readers or trivialize the material through a superficial chapter. Sharp and Hoiberg integrate learning theory throughout their text and show how learning theory can be viewed through mathematics in real classrooms without becoming tedious or distracting."" --Chris Ohana, Western Washington University, Field Editor for the NSTA Journal of Science and Children ""College students planning to be elementary school teachers need a framework and examples that reflect contemporary notions about the teaching and learning of mathematics. Similarly, college methods professors need materials that challenge their students with respect to the mathematical content they are expected to teach and how they can encourage children's mathematical thinking. The needs of both may be met with Learning and Teaching K-8 Mathematics."" --Tom Romberg, University of Wisconsin-Madison ""Perhaps one of the most important aspects of the text is the continual reference to the classroom, seeing it not only in form of vignettes, but hearing it from the voice of a practicing teacher, and also the inclusion of excerpts of questioning techniques used by other practicing teachers. This constant reference to the classroom will help preservice teachers become much more reflective mathematics teachers."" --William Fisher, California State University, Chico

Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.

School mathematics is a complex subject and an ever-changing topic, but this book will help teachers, parents and employers to understand it better.