Multiply math mastery and interest with these inspired teaching tactics! Invigorate instruction and engage students with this treasure trove of "Great Ideas" compiled by two of the greatest minds in mathematics. From commonly taught topics in algebra, geometry, trigonometry, and statistics, to more advanced explorations into indirect proofs, binomial theorem, irrationality, relativity, and more, this guide outlines concepts and techniques that will inspire veteran and new educators alike. This updated second edition offers more proven practices for bringing math concepts to life in the classroom, including: 114 innovative strategies organized by subject area User-friendly content identifying "objective," "materials," and "procedure" for each technique A range of teaching models, including hands-on and computer-based methods Specific and straightforward examples with step-by-step lessons Written by two distinguished leaders in the field-mathematician, author, professor, university dean, and popular commentator Alfred S. Posamentier, along with mathematical pioneer and Nobel Prize recipient Herbert A. Hauptman-this guide brings a refreshing perspective to secondary math instruction to spark renewed interest and success among students and teachers.
Multiply math mastery and interest with these inspired teaching tactics! Invigorate instruction and engage students with this treasure trove of "Great Ideas" compiled by two of the greatest minds in mathematics. From commonly taught topics in algebra, geometry, trigonometry and statistics, to more advanced explorations into indirect proofs, binomial theorem, irrationality, relativity and more, this guide outlines actual equations and techniques that will inspire veteran and new educators alike. This updated second edition offers more proven practices for bringing math concepts to life in the classroom, including 114 innovative strategies organized by subject area User-friendly content identifying "objective," "materials," and "procedure" for each technique A range of teaching models, including hands-on and computer-based methods Specific and straightforward examples with step-by-step lessons Written by two distinguished leaders in the field-mathematician, author, professor, university dean and popular commentator Alfred S. Posamentier, along with mathematical pioneer and Nobel Prize recipient Herbert A. Hauptman-this guide brings a refreshing perspective to secondary math instruction to spark renewed interest and success among students and teachers.
"This book addresses the needs of teachers at every level in their teaching careers, as well as those who support and work with teachers. The processes can be used individually to guide professional learning and teaching, or within almost any professional development structure for facilitating group learning. " -Katherine E. Stiles, Senior Program Associate, WestEd "This resource supports continual professional growth of both content and pedagogical knowledge and will help teachers focus on the appropriate research. What a time saver this is!" -Rhonda Naylor, National Board Certified Mathematics Teacher Campus Middle School, Englewood, CO Attain the tools to plan and incorporate standards-based instruction that positively impacts student achievement! Becoming an accomplished mathematics teacher requires not only a thorough understanding of content, but also a familiarity with mathematics standards and research. However, a strategy for translating standards and research into instructional practice has been lacking since the advent of standards-based education reform. Mathematics Curriculum Topic Study provides a systematic professional development strategy that links mathematics standards and research to curriculum, instruction, and assessment. Developed by authors Page Keeley and Cheryl M. Rose of the Maine Mathematics and Science Alliance, the NSF-funded Curriculum Topic Study (CTS) process can help educators align their practice with research-based concepts and skills required in local, state, and national standards. Successfully field-tested with hundreds of teachers, mathematics coordinators, and staff developers, this book contains 92 ready-to-use CTS guides arranged in seven categories that are aligned with NCTM content and process standards. Designed to work in a variety of contexts, the CTS process will help teachers: Increase their content and pedagogical knowledge Better understand and access mathematics research Translate standards to the classroom in a conscious, scholarly way Learn to recognize and address learning difficulties Increase opportunities for all students to achieve mathematical literacy An essential investment toward improving student achievement in mathematics for K-12 teachers, staff developers, directors of curriculum, department chairs and math educators, this innovative resource is also appropriate for preservice teachers and preservice higher education faculty.
"This book addresses the needs of teachers at every level in their teaching careers, as well as those who support and work with teachers. The processes can be used individually to guide professional learning and teaching, or within almost any professional development structure for facilitating group learning. " -Katherine E. Stiles, Senior Program Associate, WestEd "This resource supports continual professional growth of both content and pedagogical knowledge and will help teachers focus on the appropriate research. What a time saver this is!" -Rhonda Naylor, National Board Certified Mathematics Teacher Campus Middle School, Englewood, CO Attain the tools to plan and incorporate standards-based instruction that positively impacts student achievement! Becoming an accomplished mathematics teacher requires not only a thorough understanding of content, but also a familiarity with mathematics standards and research. However, a strategy for translating standards and research into instructional practice has been lacking since the advent of standards-based education reform. Mathematics Curriculum Topic Study provides a systematic professional development strategy that links mathematics standards and research to curriculum, instruction, and assessment. Developed by authors Page Keeley and Cheryl M. Rose of the Maine Mathematics and Science Alliance, the NSF-funded Curriculum Topic Study (CTS) process can help educators align their practice with research-based concepts and skills required in local, state, and national standards. Successfully field-tested with hundreds of teachers, mathematics coordinators, and staff developers, this book contains 92 ready-to-use CTS guides arranged in seven categories that are aligned with NCTM content and process standards. Designed to work in a variety of contexts, the CTS process will help teachers: Increase their content and pedagogical knowledge Better understand and access mathematics research Translate standards to the classroom in a conscious, scholarly way Learn to recognize and address learning difficulties Increase opportunities for all students to achieve mathematical literacy An essential investment toward improving student achievement in mathematics for K-12 teachers, staff developers, directors of curriculum, department chairs and math educators, this innovative resource is also appropriate for preservice teachers and preservice higher education faculty.
'Unlike many books based on research work this book doesn't just let teachers know what is going wrong with children's learning it actually gives some practical advice about what to do next. The whole book is based upon extensive observation and recording of individual children and their difficulties with mathematics. These children are the most difficult to plan for in a busy classroom and the authors appreciate the small steps and the different learning styles approaches needed for these children. This approach fits well with the NNS wave and springboard materials but takes the analysis of the individual's difficulties to a more detailed level. The book brings together research carried out across a range of countries and therefore shows the versatility of the approaches taken. This will be a very useful book for trainee teachers as it exemplifies how to use assessment to feed into teaching. It will be helpful for class teachers and mathematics co-ordinators as well as SENCOs to assist in improving the teaching and learning for specific children in our schools' - Mary Briggs, Primary and Early Years PGCE Co-ordinator, Institute of Education, University of Warwick 'This is a highly practical resource that will be appreciated by classroom and specialist teachers alike. It will provide teachers new to the Math Recovery program with practical help and support to diagnose errors and misconceptions in early numeracy. Practicing Math Recovery Specialists will be thrilled with the addition of four new highly focused assessments and an elaboration of the Learning Framework in Number. Early Numeracy is admirably grounded in international research and well-established theory, characteristics that are much sought after in the current data driven educational environment. Like many others, I was drawn to Math Recovery after reading the first edition of Early Numeracy. This second edition is a treasure - it is exciting to consider the impact it will have on children and teachers, and to the growth of the Math Recovery program' - Audrey Murray, Lead Teacher, Midwest Math Recovery Training Center, Minneapolis This text has been fully updated to include developments and refinements brought about by widespread international application of the assessment tools in the Mathematics Recovery Programme. The book will help practitioners to identify and provide detailed analyses of all children but especially those who are able and those who underachieve in early numeracy. It will enable teachers, learning support personnel, numeracy consultants and educational psychologists to advise colleagues and parents on children's number knowledge and strategies for early numeracy. The Mathematics Recovery Programme has been successfully applied in Australia, the United Kingdom and Ireland, the United States and Canada, both in specialist interventions and classroom settings. The revised version shows how familiarisation with, and understanding of, the diagnostic assessment tools has allowed teachers to become more knowledgeable in understanding children's difficulties and misconceptions, and more skilled and confident in planning programmes of intervention and monitoring the children's progress. This new edition includes: - Integrated frameworks of useful tasks for assessing children's number knowledge and strategies; - Four separate and revised diagnostic assessment interviews; - Assessments for addition and subtraction strategies, Base Ten Arithmetical strategies, Early Grouping strategies, and Advanced Grouping strategies in the four operations; - How the assessment process has impacted significantly on teachers' professional development and contributed to the raising of standards in early numeracy.
'Geometry is often given less time in the teaching timetable than other aspects of mathematics. This book encourages practitioners to think about and raise its profile, indeed achieving what its title suggest' - Primary Practice `This creative, innovative and fascinating book/CD package is one you "MUST BUY". All prospective, new and experienced teachers of mathematics can use it to transform their teaching. All readers can use it to reignite their fascination with mathematics' - Professor Sylvia Johnson, Sheffield Hallam University 'This book exudes activity and interactivity. Moreover, it provides challenge in the context of a significant pedagogy, one that is not just present but actually made explicit. It is undoubtedly a book to learn geometry with, but also one to learn to think more deeply about geometry, about its nature and essence, and also about its teaching and learning' - David Pimm Developing Thinking in Geometry enables teachers and their support staff to experience and teach geometric thinking. As well as discussing key teaching principles, the book and accompanying interactive CD include many activities that encourage readers to extend their own learning, and consequently their teaching practices. The book is constructed around the following key themes: - invariance; - language and points of view; - reasoning using invariance; - visualising and representing. These themes draw on teaching principles developed by the team at the Open University's Centre for Mathematics Education which has a 20-year track record of innovative approaches to teaching and learning geometry. This is a 'must have' text for all primary mathematics specialists, secondary and Further Education mathematics teachers and their support staff. Anyone who wishes to create an understanding and enthusiasm for geometry based upon firm research and effective practice, will enjoy this book. This is the course reader for the Open University Course ME627 Developing Geometric Thinking
'Geometry is often given less time in the teaching timetable than other aspects of mathematics. This book encourages practitioners to think about and raise its profile, indeed achieving what its title suggest' - Primary Practice `This creative, innovative and fascinating book/CD package is one you "MUST BUY". All prospective, new and experienced teachers of mathematics can use it to transform their teaching. All readers can use it to reignite their fascination with mathematics' - Professor Sylvia Johnson, Sheffield Hallam University 'This book exudes activity and interactivity. Moreover, it provides challenge in the context of a significant pedagogy, one that is not just present but actually made explicit. It is undoubtedly a book to learn geometry with, but also one to learn to think more deeply about geometry, about its nature and essence, and also about its teaching and learning' - David Pimm Developing Thinking in Geometry enables teachers and their support staff to experience and teach geometric thinking. As well as discussing key teaching principles, the book and accompanying interactive CD include many activities that encourage readers to extend their own learning, and consequently their teaching practices. The book is constructed around the following key themes: - invariance; - language and points of view; - reasoning using invariance; - visualising and representing. These themes draw on teaching principles developed by the team at the Open University's Centre for Mathematics Education which has a 20-year track record of innovative approaches to teaching and learning geometry. This is a 'must have' text for all primary mathematics specialists, secondary and Further Education mathematics teachers and their support staff. Anyone who wishes to create an understanding and enthusiasm for geometry based upon firm research and effective practice, will enjoy this book. This is the course reader for the Open University Course ME627 Developing Geometric Thinking
`This wonderful book contains everything you need to know to teach maths to children in the nursery and infant school. It is incredibly thorough, very well thought out and with sufficient detail to satisfy every need from a student writing an essay and planning a lesson, to classroom teachers and those on a masters course. The style is clear, illustrations are thought-provoking and the whole structure of the book demonstrates an in-depth understanding of what early years classroom teachers really want to know.... This book deserves to be read by everyone in early years education because it is so utterly practical - yet also analytical with plenty of cross-references to both research and resources. Great stuff!' - Primary Maths & Science `This book is very thorough, practical and accessible..... I think this book deserves to be on primary bookshelves to be dipped into, because it does encourage good reflective practice and suggests ways of tackling problems effectively. I especially like the way it recognizes that at all times we are dealing with people: parents, children, teachers and other educational professionals' - Mathematics Teaching In this comprehensive study of mathematics curriculum management in nursery and infant schools, the author highlights and clarifies the different elements that have been identified in recent reports as `good practice' in managing the teaching and learning of mathematics in the early years of schooling, with illustrations from practice. The book examines the formulation of a mathematics policy, the role of the mathematics co-ordinator, resource management, partnerships with parents, planning processes, classroom and lesson management, assessment, managing differentiation, record-keeping and reporting. The author offers many practical suggestions for managing the active teaching and learning of mathematics in the classroom.
Algebra has always been a watershed for pupils learning mathematics. Nevertheless pupils bring to school all the necessary natural powers for thinking algebraically, including organizing, classifying and generalizing. Developing Thinking in Algebra has been constructed in a way that will enable teachers and their support staff to experience and to teach algebraic thinking to pupils aged 7-16. By integrating pedagogy and subject knowledge through experiencing a variety of tasks for learners, readers of this book will see how to engage all learners in successfully thinking algebraically.
