The Effectiveness of Mathematics Teaching in Primary Schools: Lessons from England and China provides a unique insight into the mathematics classrooms of these two countries and arrives at a time when the world is eager to know how Chinese learners consistently excel at learning mathematics and other core subjects. Showcasing the kinds of teaching methods that work within and across countries, this book presents a rich collection of views, including those from teachers, their native colleagues, their foreign colleagues and the researcher, regarding the quality of mathematics teaching today. Interweaving scientific results about teaching and learning evaluations with multiple perspectives of various roles in and out of the classroom, Miao and Reynolds offer insights into how and why different approaches of teaching have led to different learning outcomes in mathematics internationally. Building on rigid and robust analyses of the most up-to-date data in England and China, the book indicates that it is through changing teaching rather than changing teachers that mathematics learning can be improved, because it is what teachers do in the classroom that really makes a big difference. Containing four decades of wisdom from the field of teaching effectiveness research, this book is essential reading for all who want to improve the quality of mathematics teaching worldwide. This book is particularly relevant for educational researchers, postgraduate students and teachers, as well as school leaders, policymakers and parents.

Parents need to take an ever-increasing role in their child's learning experience. However, what to do and how to do it is often not prescribed to the parents. This book offers a wide variety of aspects related to the parent's role as a support to their child's learning of mathematics, and above all appreciation for the subject.The uniqueness of this book is that we provide the parent the information they need about how mathematics is taught in today's early grades. We then provide a plethora of ideas that can motivate children with information beyond that which is taught in the classroom.

Achieve High-Quality Mathematics Discourse With Purposeful Talk Techniques Many mathematics teachers agree that engaging students in high quality discourse is important for their conceptual learning, but successfully promoting such discourse in elementary classrooms-with attention to the needs of every learner-can be a challenge. Activating Math Talk tackles this challenge by bringing practical, math-specific, productive discourse techniques that are applicable to any lesson or curriculum. Framed around 11 student-centered discourse techniques, this research-based book connects purposeful instructional techniques to specific lesson goals and includes a focus on supporting emergent multilingual learners. You will be guided through each technique with Classroom examples of tasks and techniques spanning grades K-5 Reflection moments to help you consider how key ideas relate to your own instruction Classroom vignettes that illustrate the techniques in action and provide opportunities to analyze and prepare for your own implementation Group discussion questions for engaging with colleagues in your professional community Achieving high-quality mathematics discourse is within your reach using the clear-cut techniques that activates your math talk efforts to promote every student's conceptual learning.

The book is centered on how major curriculum reform shapes mathematics and the professional practices of teachers. This book documents in real time the implementation of a major government numeracy programme and its receipt by trainee and new teachers. It documents the complete life span of that initiative. The account is targeted at an international readership in terms of how curriculum reform more generally shapes mathematics in schools and the practices of teachers. A key dimension of the book is an alternative view of mathematics education research in which the task of teacher development is understood at policy level where large numbers of teachers were interviewed to assess how policies were being processed through individuals. The book provides an easy and accessible commentary utilising contemporary theory to describe how such teachers reconcile their personal aspirations with the external demands they encounter in negotiating their identities as professional teachers.

In this book from bestselling author Dr. Nicki Newton, you'll learn how to level math workstations to engage K-2 students in meaningful, purposeful, rigorous practice. We know students don't learn at the same pace, so how do we take into account where they are and differentiate instruction? Dr. Nicki has the answers, showing how leveled workstations are key in the formative years, how they help students operate in their zone of proximal development and how we can use them to help students progress to higher levels of math achievement. Topics include: Understanding the framework for leveled workstations Making sure workstations are rigorous and not just providing busy work Building your stations in key areas such as counting, numbers, place value, fluency and word problems Keeping students accountable, and knowing where they are in their learning trajectory Each chapter offers specific examples, activities and tools. There is also a clear, step-by-step action plan to help you implement the ideas immediately in your own classroom.

The Knowledge Quiz series is a deviously simple and effective way for students to revise for GCSE subjects. Put together by teaching experts, these easy-to-use books feature tear-out quizzes to help students memorise the large body of knowledge that form the basis of success in exams.Rather than just flicking through revision cards expecting things to stick in your memory, self-quizzing allows students to complete multiple copies of the same quiz and kept doing them until you get them right every time. This edition will help students to effectively drill the essential facts necessary for success in the GCSE Foundation Maths exam.

In this book from bestselling author Dr. Nicki Newton, you'll learn how to level math workstations to engage K-2 students in meaningful, purposeful, rigorous practice. We know students don't learn at the same pace, so how do we take into account where they are and differentiate instruction? Dr. Nicki has the answers, showing how leveled workstations are key in the formative years, how they help students operate in their zone of proximal development and how we can use them to help students progress to higher levels of math achievement. Topics include: Understanding the framework for leveled workstations Making sure workstations are rigorous and not just providing busy work Building your stations in key areas such as counting, numbers, place value, fluency and word problems Keeping students accountable, and knowing where they are in their learning trajectory Each chapter offers specific examples, activities and tools. There is also a clear, step-by-step action plan to help you implement the ideas immediately in your own classroom.

Performance tasks are highly effective tools to assist you in implementing rigorous standards. But how do you create, evaluate, and use such tools? In this bestselling book, educational experts Charlotte Danielson and Elizabeth Marquez explain how to construct and apply performance tasks to gauge students' deeper understanding of mathematical concepts at the high school level. You'll learn how to: Evaluate the quality of performance tasks, whether you've written them yourself or found them online; Use performance tasks for instructional decision-making and to prepare students for summative assessments; Create your own performance tasks, or adapt pre-made tasks to best suit students' needs; Design and use scoring rubrics to evaluate complex performance tasks; Use your students' results to communicate more effectively with parents. This must-have second edition is fully aligned to the Common Core State Standards and assessments and includes a variety of new performance tasks and rubrics, along with samples of student work. Additionally, downloadable student handout versions of all the performance tasks are available as free eResources from our website (www.routledge.com/9781138906990), so you can easily distribute them to your class.

The book lets teachers identify where their students are in terms of number skills, and sets out a strategy for developing their knowledge. The authors show how to advance children's learning across five stages of early arithmetical learning - emergent, perceptual, figurative, initial number, and facile number. This provides for increasingly sophisticated number strategies across addition, subtraction, multiplication and division, as well as developing children's number word and numeral knowledge, and their ability to structure number and have grouping strategies. The approach used nine guiding principles for teaching. Each chapter has clearly defined teaching procedures which show how to take the children onto the next more sophisticated stage. The teaching procedures are organized into key teaching topics, and each includes: a clearly defined purpose detailed instructions, activities, learning tasks and reinforcing games lists of responses which children may make application in whole class, small group and individualised settings a link to the Learning Framework in Number (see Early Numeracy- second edition, 2005) how the guiding principles for teaching can be used to allow teachers to evaluate and reflect upon their practice Primary practitioners in Australia, the United States, the United Kingdom and Canada have tested the teaching procedures which can be used in conjunction with each country's numeracy strategy. Primary teachers, especially of the early years, mathematics co-ordinators, heads of school, mathematics advisers, special educationalists, learning support personnel, teacher assistants, lecturers in initial teacher training and educational psychologists will all find this book invaluable.

This second volume, the follow-on to Teaching Music in the Urban Classroom, Volume 1: A Guide to Survival, Success, and Reform, extends the conversation to include educational leadership, teacher education, partnerships, and school reform. As with Volume 1, classroom music teachers, inner city arts administrators, well-known academics, and policy-makers from across the United States and Canada join together to offer a full range of political, philosophical, and practical approaches to reaching kids in urban schools. These authors, whose voices are distinct and yet united, guide music educators at every level, motivating them to challenge tired assumptions, reconsider the issues, and transform their classrooms and their students. See also:Teaching Music in the Urban Classroom, Volume 1 ORDER BOTH VOLUMES 1 & 2 NOW AND SAVE! 1-57886-545-X $65.00 paper set / 1-57886-544-1 $130.00 cloth set

Primary Maths for Scotland Textbook 1C is the third of 3 first level textbooks. These engaging and pedagogically rigorous books are the first maths textbooks for Scotland completely aligned to the benchmarks and written specifically to support Scottish children in mastering mathematics at their own pace. Primary Maths for Scotland Textbook 1C is the third of 3 first level textbooks. The books are clear and simple with a focus on developing conceptual understanding alongside procedural fluency. They cover the entire first level mathematics Curriculum for Excellence in an easy-to-use set of textbooks which can fit in with teacher's existing planning, resources and scheme of work. - Packed with problem-solving, investigations and challenging problems - Diagnostic check lists at the start of each unit ensure that pupils possess the required pre-requisite knowledge to engage on the unit of work - Worked examples and non-examples help pupils fully understand mathematical concepts - Includes intelligent practice that reinforces pupils' procedural fluency

All children require mathematical understanding to access as full a life as possible. This practical book explores the curriculum required to accommodate the various difficulties faced by children with severe and profound learning difficulties. It describes how children's mathematical thinking first develops and how it can be nurtured to ensure real understanding and support essential life skills. Chapters explore key concepts including: quantity recognition and counting sequence and measurement comparisons space and shape time monetary value. Mindful of the diverse challenges faced by teachers and pupils, the book explains the neurological and pedagogical theories that underpin the development of early mathematical thinking. It considers how mathematical skills that will best support children's everyday functioning can be developed. Practical ideas and activities for application in the classroom are further supported by illustrative diagrams, case studies and detailed online reading to deepen teachers' understanding and confidence when working with pupils. An essential and inspiring guide for teachers, special educational needs coordinators, teaching assistants, and parents, this text proves that with the appropriate strategies, each child is able to develop the mathematical skills essential to everyday living.

Mathematical Modelling for Teachers: Resources, Pedagogy and Practice provides everything that teachers and mathematics educators need to design and implement mathematical modelling activities in their classroom. Authored by an expert in Singapore, the global leader in mathematics education, it is written with an international readership in mind. This book focuses on practical classroom ideas in mathematical modelling suitable to be used by mathematics teachers at the secondary level. As they are interacting with students all the time, teachers generally have good ideas for possible mathematical modelling tasks. However, many have difficulty translating those ideas into concrete modelling activities suitable for a mathematics classroom. In this book, a framework is introduced to assist teachers in designing, planning and implementing mathematical modelling activities, and its use is illustrated through the many examples included. Readers will have access to modelling activities suitable for students from lower secondary levels (Years 7 and 8) onwards, along with the underlying framework, guiding notes for teachers and suggested approaches to solve the problems. The activities are grouped according to the types of models constructed: empirical, deterministic and simulation models. Finally, the book gives the reader suggestions of different ways to assess mathematical modelling competencies in students.

This is Book One in CGP's range of three 10-Minute Tests books for KS3 Maths - it covers the most straightforward KS3 material, and recaps some important KS2 skills. Inside, you'll find over 30 bite-sized tests, each packed with questions on a mixture of topics. Complete answers and mark schemes are included at the back, so it's easy to find out how well students are progressing. For more challenging KS3 Maths practice, Book Two (9781782944812) and Book Three (9781782944744) are also available.

Heinemann Active Maths: Unpicks the CfE outcomes and experiences into manageable and achievable classroom outcomes. Engages pupils with a bank of stimulating, varied and exciting interactive and print-based activities. Follows an active approach to maths teaching and learning with an emphasis on real-life situations.

Successors to the immensely popular T1 to T6 series of revision booklets. Re-written for the revised two-tier CCEA GCSE Mathematics specification tests M1 to M8. One booklet for each of the levels. Each book stands alone for its test. Valuable revision questions, with both answers and the required methodology included. These questions are written specifically for publication in these booklets. NOT past paper questions.

Performance tasks are highly effective tools to assist you in implementing rigorous standards. But how do you create, evaluate, and use such tools? In this bestselling book, educational experts Charlotte Danielson and Elizabeth Marquez explain how to construct and apply performance tasks to gauge students' deeper understanding of mathematical concepts at the middle school level. You'll learn how to: Evaluate the quality of performance tasks, whether you've written them yourself or found them online; Use performance tasks for instructional decision-making and to prepare students for summative assessments; Create your own performance tasks, or adapt pre-made tasks to best suit students' needs; Design and use scoring rubrics to evaluate complex performance tasks; Use your students' results to communicate more effectively with parents. This must-have second edition is fully aligned to the Common Core State Standards and assessments and includes a variety of new performance tasks and rubrics, along with samples of student work. Additionally, downloadable student handout versions of all the performance tasks are available as free eResources from our website (www.routledge.com/9781138906914), so you can easily distribute them to your class.

Successors to the immensely popular T1 to T6 series of revision booklets. Re-written for the revised two-tier CCEA GCSE Mathematics specification tests M1 to M8. One booklet for each of the levels. Each book stands alone for its test. Valuable revision questions, with both answers and the required methodology included. These questions are written specifically for publication in these booklets. NOT past paper questions.

Many schools throughout the United States are now employing coaches to support teachers in the teaching of mathematics. Very often, these are professionals selected from the current teaching ranks who did not receive any special training to serve as a coach. This book provides the skills, knowledge, and lessons from experience that lead such a mentor to function effectively. Aside from describing the basic duties of an effective math coach, we also provide a plethora of resources to enrich instruction, improve problem-solving direction, and provide teachers with a wide variety of techniques to enhance their teaching effectiveness.

During the past 40 years, mathematical music theory has grown and developed in both the fields of music and mathematics. In music pedagogy, the need to analyze patterns of modern composition has produced Musical Set Theory, and the use of Group Theory and other modern mathematical structures have become almost as common as the application of mathematics in the fields of engineering or chemistry. Mathematicians have been developing stimulating ideas when exploring mathematical applications to established musical relations. Mathematics students have seen in Music in Mathematics courses, how their accumulated knowledge of abstract ideas can be applied to an important human activity while reinforcing their dexterity in Mathematics. Similarly, new general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. Mathematical Music Theorists have also been developing exciting, creative courses for high school teachers and students of mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain.The objective of this volume is to share the motivation and content of some of these exciting, new Mathematical Theory and Music in Mathematics courses while contributing concrete materials to interested readers.

This guidebook is for college instructors who teach a course in Introduction to Logic at a teachers college or provide a workshop in this subject for in-service mathematics teachers. It can also be used by high school mathematics teachers for teaching students who are capable and interested in Logic.Learning is based on reading Alice's Adventures in Wonderland, and discussing quotes from that book as a trigger for developing basic notions in Logic. This guidebook includes the student's worksheets with exemplary solutions, the background in elementary logic, and pedagogical comments. There is a student's workbook that accompanies this guidebook which includes the student's worksheets without solutions.Ordinary textbooks for such a course are purely mathematical in their nature, and students usually find the course difficult, boring and very technical. Our approach is likely to motivate the students through reading the classic novel Alice's Adventures in Wonderland, written by Lewis Carroll who was not only one of the best storytellers but also a logician.Click here for StudentaEURO (TM)s Workbook