If you were a quadrilateral, you would have four straight sides. You could be a checkerboard, a kite, or a yoga mat. What else could you be if you were a quadrilateral?

For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills-specifically, reasoning skills-that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities.

A sampling of the topics covered:

• Whole-class discussion methods for teaching mathematics reasoning.
• Learning mathematical reasoning through tasks.
• Teaching mathematics using the five strands.
• Classroom strategies for promoting mathematical reasoning.
• Maximizing student contributions in the classroom.
• Overcoming student resistance to mathematical conversations.

Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

This new edition of CGP's Higher Level Edexcel 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 (9781782944072), Exam Practice Workbook (9781782944034) and Grade 9 Exam Practice Workbook (9781782944157).

Did you know that a circle has more than one side? Are you aware of the difference between 1:2 and 1/2? Could you spot when a 2D shape is actually 3D? Tackling Misconceptions in Primary Mathematics is a practical guide based on the principles that sound subject knowledge is key to fostering understanding, and addressing misconceptions is central to pupil progress. With an emphasis on preventing as well as unpicking misconceptions in the classroom, it offers trainee and practising teachers clear explanations, practical strategies, and examples of the classroom language and dialogue that will help pupils successfully navigate tricky topics. The book demonstrates the importance of preventing misconceptions through what is said, done and presented to children, giving a variety of examples of common misconceptions and exploring how they can be addressed in a classroom environment. Proper intervention at the point of misconception is regarded as a key skill for any outstanding classroom practitioner and the author stresses the value in understanding how the pupil got there and explaining that it's okay to make mistakes. Misconceptions are only one step away from correctly formed concepts if harnessed with care and skill. This comprehensive text is designed to be read as either a short course introduction, or dipped into as a guide to assist teaching. It is essential reading for trainee primary school teachers on all routes to QTS, as well as mathematics subject leaders and practising teachers looking to inspire the next generation of confident and inquisitive mathematicians.

Learn how children's literature can help K-5 students see the real-life applications of mathematical concepts. This user-friendly book shows how to use stories to engage students in building critical reasoning, abstract thinking, and communication skills, all while helping students understand the relevance of math in their everyday lives. Each chapter is dedicated to one of the eight Standards for Mathematical Practice, and offers examples of children's literature that can be used to help students develop that practice. You'll find out how to: Encourage students to persevere in solving mathematical problems and use multiple approaches to find the answer; Help students reason abstractly with the aid of concrete objects and visuals; Guide students in constructing arguments to explain their reasoning and engage in critical discussion with their peers; Teach students to recognize mathematical patterns and use them to solve problems efficiently; And more! The book offers activities for beginners as well as for more advanced problem solvers. Each chapter also provides guidance for ELLs and students with special needs, so no matter your classroom environment, you'll be able to use these strategies to make math class more dynamic, engaging, and fun.

This new series provides all the practice a child needs to build confidence in multiplication and division. More than 400 questions offer great revision of essential multiplication tables facts and guide every child through the processes of short and long multiplication and short and long division.

"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! "

Bring ACT Math and Science prep into the classroom to enhance student learning! In this new copublication from Routledge and test-prep experts A-List Education, you'll learn how the updated ACT exam is closely aligned with the Common Core, making it easy to weave test prep into your curriculum and help students hone the skills they need for college readiness. The book is filled with practical examples of how the Common Core State Standards are connected to specific sections, question types, and strategies applicable to the ACT, so you can simultaneously prepare your students for the test while improving their overall math, science, and reasoning skills.

Bring ACT Math and Science prep into the classroom to enhance student learning! In this new copublication from Routledge and test-prep experts A-List Education, you'll learn how the updated ACT exam is closely aligned with the Common Core, making it easy to weave test prep into your curriculum and help students hone the skills they need for college readiness. The book is filled with practical examples of how the Common Core State Standards are connected to specific sections, question types, and strategies applicable to the ACT, so you can simultaneously prepare your students for the test while improving their overall math, science, and reasoning skills.

Bring SAT Math prep into the classroom to enhance student learning! In this new copublication from Routledge and test-prep experts A-List Education, you'll learn how the updated SAT exam is closely aligned with the Common Core, making it easy to weave test prep into your curriculum and help students hone the skills they need for college readiness. The book is filled with practical examples of how the Common Core State Standards are connected to specific sections, question types, and strategies applicable to the SATs, so you can simultaneously prepare your students for the test while improving their overall math and reasoning skills.

The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics.Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding.The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers.

The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics.Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding.The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers.

This CGP Workbook is perfectly matched to Edexcel's Grade 9-1 International GCSE Maths course (specification A). Every page is full of top-quality practice questions, providing a huge range of essential practice on every topic. Solutions to every question are available in the Answer Book (9781782946731). And if you're looking for study notes for this course, don't miss CGP's matching Revision Guide (9781782946694).

Whether you are a new or an experienced math teacher, The Math Teachers' Tool Box provides guidance and serves as a reference book of topics, ideas, and resources. This book provides teachers with various tools to improve their classroom management skills, to actively involve students in lessons, and as a result, raise their interest level and improve learning. The ideas presented have been classroom-tested over many years and can be used in virtually any middle or high school classroom.

Exam Board: Edexcel Level: GCSE 9-1 Foundation Subject: Maths Suitable for the 2023 exams Complete revision and practice to fully prepare for the GCSE grade 9-1 exams Revision that Sticks! Collins Edexcel GCSE 9-1 Maths Foundation Complete All-in-One Revision and Practice uses a revision method that really works: repeated practice throughout. A revision guide, workbook and practice paper in one book! With clear and concise revision for every topic, plus seven practice opportunities, Collins offers the best revision at the best price. For even more practice QR codes link directly from the topics in the revision guide to online interactive quick recall quizzes and to worked solution videos in the workbook. Includes: * grading guidance on the page to indicate different levels * quick tests as you go * end-of-topic practice questions * topic review questions later in the book * mixed practice questions at the end of the book * more topic-by-topic practice in the workbook * a complete exam-style paper * online quick recall quizzes for every topic * online video solutions for every topic * free Q&A flashcards to download online * free ebook version

Level: KS2 Subject: Maths An engaging Mental Maths activity book to really help boost your child's progress at every stage of their learning! Including helpful questions and answers, this Maths book provides reassurance whilst supporting your child's learning at home. Combining useful Maths practice with engaging, colourful illustrations, this Mental Maths practice book helps to boost your child's confidence and develop good learning habits for life. Each fun activity is designed to give your child a real sense of achievement. Included in this book: questions that allow children to practise the important skills learned at school colourful activities that make learning fun and motivate children to learn at home helpful tips and answers so that you can support your child's learning

The only textbook that completely covers the OxfordAQA International GCSE Mathematics Core Level specification (9260), for first teaching in September 2016. Written by experienced authors, the clear, international approach ensures strong mathematical understanding and provides exam-focused practice to build assessment confidence. This textbook helps students to develop the key mathematical, reasoning and problem solving skills needed for the Oxford AQA International GCSE Mathematics Core Level exam, with extensive opportunities for practice and model answers. The online textbook can be accessed on a wide range of devices and the licence is valid until 31st December 2026, for use by one student or teacher. Your first login will be sent to you in the mail on a printed access card.

Effective Techniques to Motivate Mathematics Instruction offers pre-and in-service teachers best practices and techniques that can be used to motivate students in the first few minutes of any lesson in mathematics. Veteran teacher educators Posamentier and Krulik show how a bit of creativity and planning up front pays back by enabling a successful lesson on even the most challenging mathematics topic. Organized around nine different motivational techniques, each chapter includes a variety of illustrative examples of how the technique may be applied. Designed to complement any methods textbook, this practical, accessible guide helps future math teachers ease the transition from successful student to successful teacher by developing the tools needed to create motivational introductions in their classes.

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).

Specifically designed for busy teachers who have responsibility for co-ordinating a subject area within their primary school. Each volume in the series conforms to a concise style, while providing a wealth of tips, case studies and photocopiable material that teachers can use immediately. There are special volumes dedicated to dealing with OFSTED, creating whole school policy and the demands of co-ordinating several subjects within a small school. The entire set of 16 volumes is available.

Provide careful and structured practice in maths mastery for children at home or school, covering all concepts that would be covered in class. -Embed and consolidate conceptual understanding. -Dig deeper into mathematical concepts through intelligent practice. -Provide structure and clarity with a write in, levelled book.

Provide careful and structured practice in maths mastery for children at home or school, covering all concepts that would be covered in class. -Embed and consolidate conceptual understanding. -Dig deeper into mathematical concepts through intelligent practice. -Provide structure and clarity with a write in, levelled book.