The provocative contributions to Opening the Research Text reflect current interest in the political and cultural underpinnings of mathematics education. With 22 contributors including both established researchers and newcomers, this innovative research-oriented volume challenges traditional theories and "comforting narratives" of pedagogy through realistic, non-linear scenarios reflecting the ambiguities and power relationships of the classroom. By alternating research chapters with inventive responses (including poetry, concept mapping, graphic novel, and collage), the editors present theoretical as well as practice-based possibilities in areas as diverse as arts-based inquiry and social justice pedagogy, all in relation to mathematics education. These multiple calls to action will inspire readers to:

• Rethink the accessibility and impact of their classroom work.
• Consider the value of poststructuralist strategies to curriculum theory.
• Explore alternate research paradigms in mathematics education.
• Trace the intersections of power, economics and mathematics.
• Critically examine the discourse of school mathematics and policy documents.
• Engage in self-study, writing their own stories of insight and in(ter)vention.

Opening the Research Text asks teachers, researchers and scholars to add to the dialogue that is transforming the mathematics education field, and leads new educators toward insights into their careers and the students and communities they serve. Additionally, the book can be a primary graduate or supplementary undergraduate text in education ormathematics education.

Pinpoint is a new series of activities and resources created to provide you with highly focused resources for specific needs in Maths. Box contains 2 sets of 60 activity cards and a 32 page book of answers and teacher notes (A5 size) Rich independent problem-solving tasks for exploring maths concepts in greater depth Covers all strands of the Year 6 Programme of Study and colour-coded for ease. Also matched to White Rose planning, Curriculum for Excellence and Abacus, making it easy to find cards for your lesson 3 levels of difficulty on each page (Towards, Securing and Deeper) provide appropriate challenge for all Cards begin with a low-threshold task (to stop children getting stuck and provide problem-solving opportunities for all), and then progress with real stretch for high attainers These resources are flexible and easy to use, saving teachers time searching for differentiated problems. The teacher notes provide additional hints and stretch questions as well as answers. The activities prompt children in Y6 / P7 to solve non-routine problems and reason mathematically in increasing depth. They support mastery teaching by keeping a class engaged on the same topic, with independent work of increasing depth. The cards are colourful and engaging, featuring regular characters who provide suggestions and encouragement. Two sets of the activities are included to facilitate group work.

Lesson play is a novel construct in research and teachers' professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form-inspired in part by Lakatos's evocative Proofs and Refutations-featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of our studies-particularly in the area of pre-service teacher education, and the reasons that the tool offers such productive possibilities for both researchers and teacher educators.

This brilliant book of 10-Minute Tests is perfect for helping pupils aged 9-10 prepare for the tricky Maths problems they'll have to solve in the CEM 11+ test. It contains over 30 short, sharp tests, each covering a wide range of topics and skills. To break up the all the serious 11+ preparation, we've also included fun puzzle pages throughout the book. You'll also find complete step-by-step answers to every question in a pull-out section, along with a progress chart so you'll never be left in the dark. This book also comes with a free Online Edition - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet!

This all-in-one Study & Question book is a brilliant way for Year Two pupils (ages 6-7) to get to grips with Key Stage One Maths. For every topic, there's a page of clear, colourful notes that summarises all the important skills. This is followed by a page of practice questions to test children on what they've just learned. The book also contains two objective tests - one to assess children's skills at the start of Year Two, and one to measure their progress at the end of the year. All the answers are included in a cut-out-and-keep section in the middle of the book, and there's an explanation of all the key maths terms at the back.

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.

What makes the Platinum Mathematics grade 12 course unique? Platinum Mathematics is the only series by any publisher to have been approved from grades 1 to 12; a textbook and study guide in one complete package. No need for any additional study material; revision tests after each topic, as well as term 4 focusing completely on exam revision and exam preparation; complete mid-year and preliminary examination papers as well as comprehensive memoranda provided; key words boxes, remember boxes and margin notes, highlight and remind learners about important concepts which they have covered previously and will need to apply in the relevant topic; photocopiable target worksheets provided for remediation and enrichment, for all topics; worked examples prior to exercises, provide a clear, visual example for learners to follow when completing exercises; photocopiable tests and examinations which satisfy CAPS formal. Platinum - simply superior: Superior CAPS coverage and written by expert authors; superior illustrations and activities to improve results and motivate learners; superior teacher support to save time and make teaching easy, including photocopiable worksheets; superior quality = exam success!

This CGP book is perfect for providing children with realistic 11+ Maths preparation in bite-sized chunks. It contains more than thirty 10-Minute Tests, all focused on Mental Arithmetic - with detailed answers included in a pull-out booklet. There are also fun puzzle pages throughout to challenge children's Maths skills in a more relaxed style, plus a progress chart at the back of the book. This book is ideal for the 11+ tests set by GL Assessment and other test providers, and offers excellent practice for the Kent Test. This book also comes with a free Online Edition - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet!

This CGP Key Stage Two Mental Maths Workout Book is packed with essential practice exercises for Year 6 pupils (ages 10-11) - including a section of 'Time Yourself' tests. Presented in a fun and friendly style, it's a great way to help make sure children have really got to grips with working out maths problems in their heads. Answers are included in a removable section, so it's simple to find out how well they're progressing.

Master Key Stage 1 mathematics in just 10 minutes a day with the activities in this essential home learning maths workbook from Carol Vorderman 10 Minutes a Day Maths is a homeschool learning resource for 5 to 7 year olds that teaches kids maths in bite-sized chunks. Children prefer to learn in short bursts, making this workbook from Carol Vorderman the perfect homeschool introduction to maths. Games and tests make learning fun, leading to maximum results in just 10 minutes a day. Topics include addition, subtraction, multiplication, division, measuring, patterns, shapes, and much more. The parents' notes section gives the answers, explains common pitfalls, and gives guidance on how to avoid them. Carol Vorderman's 10 Minutes a Day KS1 workbooks are the perfect at-home reinforcement for subjects learned in school and support the National Curriculum.

The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.

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

Critical Race Theory in Mathematics Education brings together scholarship that uses critical race theory (CRT) to provide a comprehensive understanding of race, racism, social justice, and experiential knowledge of African Americans' mathematics education. CRT has gained traction within the educational research sphere, and this book extends and applies this framework to chronicle the paths of mathematics educators who advance and use CRT. This edited collection brings together scholarship that addresses the racial challenges thrusted upon Black learners and the gatekeeping nature of the discipline of mathematics. Across the ten chapters, scholars expand the uses of CRT in mathematics education and share insights with stakeholders regarding the racialized experiences of mathematics students and educators. Collectively, the volume explains how researchers, practitioners, and policymakers can use CRT to examine issues of race, racism, and other forms of oppression in mathematics education for Black children and adults.

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.

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.

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.

A Practical Guide to Teaching Mathematics in the Secondary School offers straightforward advice, inspiration and a wide range of tried and tested approaches to help you find success in the secondary mathematics classroom. Illustrated throughout, this fully updated second edition includes new chapters on using ICT in the classroom and promoting a positive learning environment, as well as fresh and easy to use ideas that can help you engage your pupils and inspire mathematical thinking. Covering all key aspects of mathematics teaching, it is an essential companion for all training and newly qualified mathematics teachers. Combining ideas and practical insights from experienced teachers with important lessons from educational research, this book covers key aspects of mathematics teaching, including: planning effective lessons using assessment to support learning encouraging mathematical activity integrating ICT into your teaching making lessons engaging building resilient learners. A Practical Guide to Teaching Mathematics in the Secondary School is an essential companion to the core textbook Learning to Teach Mathematics in the Secondary School. Written by expert practitioners, it will support you in developing imaginative and effective mathematics lessons for your pupils.

Did you know there's a single spot on your brain that recognizes numbers? Or that the first computer bugs were actual insects and that most of the internet is under water? This fascinating book is filled with 100 fascinating facts, bright, infographic illustrations, a glossary and index and links to specially selected websites to find out more.

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 title forms part of the Little Library programme, which consists of a Literacy Kit, Numeracy Kit and Life Skills Kit. These were developed to respond to a need for high-quality, indigenous books for the younger members of our communities, and have been successfully used in schools for the last ten years. This title is found in the updated, OBE version of the Little Library Maths Kit, now called the Little Library Numeracy Kit. The Numeracy Kit keeps seven of the best stories, and introduces five new ones - all of them trialled in classrooms around the country. Baby Monkey's bananas tells the story of a baby monkey who finds a huge bunch of bananas, and how he struggles to get it home to share it with his family. Mathematics concepts: sharing and dividing. The story can also be used to introduce the principle of fractions without using the word 'fraction'.

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.

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

The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.