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.

Daily practice is the best way to improve children's Mental Maths skills - that's why we've written this fantastic Daily Practice workbook for the Year 6 Summer Term! Packed with colourful characters and engaging activities, there's a page of Mental Maths practice for every school day of the term. It's all matched to the National Curriculum and perfect for use in class or at home! For each day, there's a short explanation of what to do, followed by a selection of Mental Maths questions. New topics are introduced gradually, then revisited throughout the book - the questions increase in difficulty through each week, and also through the term. Score boxes at the end of each page make it easy to track children's progress and there are answers to every question at the back. For complete coverage of Year 6, check out our books for the Autumn (9781789087734) and Spring (9781789087765) terms too!

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.

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 maths scheme is written specifically for Scotland to help implement the recommendations from Improving Mathematics Education 5-14. It provides an increasing pace of progression; end of level assessment; oral and mental calculation; integral homework; and support for planning.

Heinemann Active Maths: 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. Helps children develop a concrete understanding of maths concepts through investigation and discussion.

This new edition of CGP's Higher Level OCR GCSE Maths Revision Guide is bang-up-to-date for the latest 'Grade 9-1' course! It's packed with concise, friendly explanations of every topic, backed up with plenty of step-by-step examples. Grade information (on the new 9-1 scale) is included to show the difficulty level of each topic, and there are exam-style questions at the bottom of each page to test you on the important skills. And finally, a unique code is printed in the book that gives you access to the free Online Edition of the whole book on your PC, Mac or tablet! For even more help with this course, don't forget CGP's matching Workbook (9781782943808), Exam Practice Workbook (9781782943785) and Grade 9 Exam Practice Workbook (9781782944171).

Kumon Workbooks for Spanish speakers. These translations of our Basic Workbooks into Spanish feature the same high-quality paper, step-by-step instructions, and engaging illustrations as the English-language versions.

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 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

"This fantastic CGP 10-Minute Test book is perfect for helping pupils aged 8-9 prepare for the Maths element of the GL 11+ test. It contains over 30 bite-sized tests, each one covering a variety of important Maths skills. You can find complete answers for every question in a pull-out section at the back of the book, along with a progress chart so you can keep track of where pupils are up to. And to keep them motivated, there are fun, Maths-based puzzle pages throughout the book! 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 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. In Keep the change, Ryan has a lucky day when a one hundred Rand note falls into his hands. This sets off a chain of events where his friends and family buy gifts for themselves and also for their loved ones. Mathematical themes include money, totals, buying and working out change.

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

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.

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.

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.

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 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. A good plan tells the story of a group of friends who come up with a plan. Each friend has a job to do but the result is not what they hoped for. They then come up with a new, more carefully thought through plan. The Mathematics theme in this story is measurement.

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. A journey is about the Makhanya family going on a journey by taxi, the interesting things they see and the weird and wonderful people they meet along the way. There are many Mathematical focuses in this story, including numbers, money problems, duration, measures, capacity and size.

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 CGP Revision Guide is the ideal companion to Edexcel's 'Grade 9-1' International GCSE Maths course (specification A). Every topic is explained in a concise, friendly style, with plenty of step-by-step examples to make everything crystal clear. Grade information (on the new 9-1 scale) is included to show the difficulty level of each topic, and there are exam-style questions throughout the book. Finally, there's a code that gives you access to a free Online Edition of the whole book - this also includes fully worked answers to all the exam-style questions. For even more International GCSE Maths practice, try CGP's matching Workbook (9781782946724) and Exam Practice Workbook (9781782946700).

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.

Year 6 pupils (ages 10-11) will love this friendly, colourful Study Book - and it's perfectly matched to the latest curriculum! For each topic, there are straightforward study notes and plenty of clear examples explaining all the important skills, with objectives tick-boxes at the bottom of each page so that pupils can mark off their progress. Practice questions are included at the end of each section - these progress in difficulty to give pupils' understanding a thorough workout. On top of that, you'll also find Greater Depth Questions, so pupils can really test their knowledge, plus answers to every question at the back. For even more practice, don't miss our Year 6 Maths Targeted Question Book (9781847622143) - it's bursting with test-style practice for every topic!