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.

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.

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

This is a student's workbook that accompanies the teacher's guidebook of the same title. It is for students who take a course in Introduction to Logic at a teachers college, whose instructor decides to provide students with a learning environment based on reading Alice's Adventures in Wonderland, and discussing quotes from that book as a trigger for developing basic notions in Logic.This workbook includes worksheets for independent work or for small-group activities. It is also possible to use this workbook in a workshop for in-service mathematics teachers, and also for teaching logic at high school level for capable and interested students.Click here for TeacheraEURO (TM)s Guidebook

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

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 Joshua Dragoon explain how to construct and apply performance tasks to gauge students' deeper understanding of mathematical concepts at the upper elementary 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/9781138906969), so you can easily distribute them to your class.

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.

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 Pia Hansen explain how to construct and apply performance tasks to gauge students' deeper understanding of mathematical concepts at the early elementary 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/97811389069891), so you can easily distribute them to your class.

Making Pre-Algebra Come Alive! provides versatile enrichment exercises for teaching a broad range of mathematical topic. The book includes guidelines and notes.

New Heinemann Maths offers interactive, whole-class teaching, with structured development of mental calculation strategies. It has complete coverage of the Framework. The scheme provides support without prescription for flexible planning and teaching; pupil material that aims to be clear, fun, and easy to use; clear structure and progression; support for more able children; and easy-to-manage assessment.

Parents are those social factors that can positively influence their child's learning of mathematics. Using Teacher Inquiry for Knowing and Supporting Parents with Mathematics serves as a teacher's inquiry guide for supporting parents in this critical role. Steps for investigating the manner in which parents and children work together on mathematics tasks, such as homework and projects, are shared. Findings gleaned from such investigation cultivate a state of knowing that positions teachers to support parents, and in turn their students, in meaningful and relevant ways. This book includes teacher inquiry approaches, related tools, and supportive resources for parents in grades Pre-K though 12. Teachers' inquiry findings on their journey towards being "in the know" about parents and mathematics, along with their responsive action steps, are shared to help guide the reader's use of inquiry for knowing and supporting parents with mathematics. Some key additional features of this book include: *Support for both individual and collective teacher inquiry *Resources for supporting parents through the grades *Online teacher inquiry resources *Anchor tasks for developing parents' knowledge of mathematics content, and ways of supporting children's understandings of that content

From modern-day challenges such as balancing a checkbook, following the stock market, buying a home, and figuring out credit card finance charges to appreciating historical developments by Pythagoras, Archimedes, Newton, and other mathematicians, this engaging resource addresses more than 1,000 questions related to mathematics. Organized into chapters that cluster similar topics in an easily accessible format, this reference provides clear and concise explanations about the fundamentals of algebra, calculus, geometry, trigonometry, and other branches of mathematics. It contains the latest mathematical discoveries, including newly uncovered historical documents and updates on how science continues to use math to make cutting-edge innovations in DNA sequencing, superstring theory, robotics, and computers. With fun math facts and illuminating figures, "The Handy Math Answer Book" explores the uses of math in everyday life and helps the mathematically challenged better understand and enjoy the magic of numbers.

Power Maths is a leading primary maths mastery scheme that offers perfect alignment with the popular White Rose Maths Scheme of Learning. Written by a team of experts, led by Series Editor, Tony Staneff of White Rose Maths. For children who are following either the Power Maths or White Rose scheme, the textbooks provide lesson-by-lesson guidance throughout the curriculum. The textbooks include: Engaging contexts for problem solving help children to discover patterns and concepts for themselves in a meaningful way. Clear mathematical structures and representations ensure children make connections and grasp concepts. Lovable characters prompt and question children to promote reasoning skills and help to build a growth mindset.

In a rapidly evolving local and global economy, skills related to mathematical problem solving, scientific inquiry, and technological innovation are becoming more critical for success in and out of school. Thus, Demystify Math, Science, and Technology addresses the need to cultivate these skills in young students so that ingenuity, teamwork, and imaginative skills become part of their arsenal in dealing with real world challenges. This whole package of attributes is essential for learners imagining new scenarios and future work in areas that don't even exist yet. Another important issue is that teachers now deal with students who span the entire spectrum of learning. Students differ widely in levels of preparedness, personal interests, and cultural ways of seeing and experiencing the world. One size does not fit all. Teachers need to learn to turn diversity into an advantage because innovation builds on the social nature of learning; the more diverse the inputs, the more interesting the outputs. The authors also believe that no one should be sidelined with basic skill training in a way that keeps them away from the creative and collaborative engagement associated with problem solving, inquiry, and the technological products of math and science.

This smashing SAT Buster from CGP is perfect for helping pupils get ready for the KS1 Maths SATs Reasoning test. It's full to the brim with engaging questions covering the whole curriculum - so they can be fully prepared for the upcoming SATs. Plus there are self-assessment tick boxes so children can show how confident they feel about each topic, and you can keep track of their progress! An Arithmetic SAT Buster book (9781782947127) is also available, and answers to both books are printed in a separate Answer Book (9781782947141).

Mathematics holds an essential, ubiquitous presence in the education sector, as do ongoing explorations of its effective teaching and learning. Written by leading experts on mathematics and mathematics education, this book situates issues of student thinking and learning about mathematics within the broader context of educational psychology research and theory and brings them to a wider audience. With chapters on knowing and understanding mathematics, mathematical habits, early mathematical thinking, and learning mathematics, this concise volume is designed for any educational psychology, mathematics education, or general education course that includes student learning in the curriculum. It will be indispensable for student researchers and both pre- and in-service teachers alike.

The Key Stage 2 Maths series covers mathematical technique for SATs, GL Assessment and CEM 11+ exams, CATs, the Northern Ireland Transfer Test, Common Entrance and scholarship examinations for independent schools, and all other styles of mathematical test. This series of books is designed to be used in sequence from Workbook 1 onwards. The workbook series is complemented by testbooks that reinforce a child's mathematical technique and knowledge. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 20 years.

This fourth edition of the bestselling Mathematics in Early Years Education provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics - number and counting, calculation, pattern, shape, measures and data handling - it provides a wide range of practical activities and guidance on how to support young children's mathematical development. There is also guidance on managing the transition to KS1 and a strong emphasis throughout on creating home links and working in partnership with parents. This new edition has been fully updated to incorporate the latest research and thinking in this area and includes: why mathematics is important as a way of making sense of the world how attitudes to mathematics can influence teaching and learning how children learn mathematics and what they are capable of learning how technology can support maths teaching maths phobia and the impact society has on maths teaching material on sorting, matching and handling data the importance of educating about finance in today's world ideas for observation and questioning to assess children's understanding examples of planned activities suggestions for language development assessment criteria. This textbook is ideal for those training to be teachers through an undergraduate or PGCE route, those training for Early Years Professional Status and those studying early childhood on foundation or honours degrees, as well as parents looking to explore how their young children learn mathematics. This will be an essential text for any early years practitioner looking to make mathematics interesting, exciting and engaging in their classroom.

Exam Board: SQA Level: Higher Subject: Maths First Teaching: 2018, First Exam: 2019 The Higher Maths Student Book helps teachers and students map their route through the CfE programme, providing comprehensive and authoritative guidance for the course. Full coverage of the new Higher course specifications with list of learning intentions Attractive layout with clear text features Key questions highlight crucial concepts and techniques that need to be grasped by students in order to progress to the next learning intention What the examiner/assessor is looking for to help teachers & students feel secure End of unit material - unit assessment, exam-style questions with worked answers and examiners commentary, self-assessment Student Books give a practical, supportive approach to help deliver the new curriculum and offer a blend of sound teaching and learning with assessment guidance.

The Key Stage 2 Maths series covers mathematical technique for SATs, GL Assessment and CEM 11+ exams, CATs, the Northern Ireland Transfer Test, Common Entrance and scholarship examinations for independent schools, and all other styles of mathematical test. This series of books is designed to be used in sequence from Workbook 1 onwards. The workbook series is complemented by testbooks that reinforce a child's mathematical technique and knowledge, and testpacks for final exam preparation. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 20 years.