This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

Learn how to help K-8 students who struggle in math. Now in its second edition, this book provides a variety of clear, practical strategies that can be implemented right away to boost student achievement. Discover how to design lessons that work with struggling learners, implement math intervention recommendations from the Institute of Education Sciences Practice Guides, the National Center on Intensive Intervention, and CEC, use praise and self-motivation more effectively, develop number sense and computational fluency, teach whole numbers and fractions, increase students' problem-solving abilities, and more! This edition features an all-new overview of effective instructional practices to support academic engagement and success, ideas for intensifying instruction within tiered interventions, and a detailed set of recommendations aligned to both CCSSM and CEC/CEEDAR's High-Leverage Practices to help support students struggling to meet grade-level expectations. Extensive, current examples are provided for each strategy, as well as lesson plans, games, and resources.

This book presents a literature review of and a state-of-the-art glimpse into current research on affect-related aspects of teaching and learning in and beyond mathematics classrooms. Then, research presented at the MAVI 25 Conference, which took place in Intra (Italy) in June 2019, is grouped in thematic strands that capture cutting-edge issues related to affective components of learning and teaching mathematics. The concluding chapter summarises the main messages and sketches future directions for research on affect in mathematics education. The book is intended for researchers in mathematics education and especially graduate students and PhD candidates who are interested in emotions, attitudes, motivations, beliefs, needs and values in mathematics education.

CGP's Targeted 10-Minute Tests for Ages 9-10 are the perfect way to hone pupils' skills on specific subjects and topics. This Quick Questions book is crammed full of essential practice on all those short, quick-fire Maths problems pupils will have to solve in the CEM 11+ tests. It contains over thirty ten-minute-long tests, each made up of around 22 questions - ideal for helping pupils improve their problem-solving speed. Never fear - all that hard graft is broken up with fun mathematical puzzle pages. Step-by-step worked answers can be found in a pull-out section, so that you're never left in the dark. We've also thrown in handy progress charts, so that pupils can keep track of their scores for each test. If all that wasn't enough, this book also comes with a free online edition for you to view on your PC, Mac or tablet. Don't say we don't look after you...

Since the elementary school years, the power of the play has been used in cognitive, social, motor, and affective ways to overcome students' anxiety of mathematics. This book examines the effect of play-based learning method on the achievements of 1st-grade students within the scope of 8 different math plays prepared for objectives in the primary mathematics curriculum. Supported by students' views on different math plays, including theoretical reflections on play-based learning and thoughts about methodological, empirical, and experimental approaches as well as analyses of various play studies, the research examines the role of child-centered teaching methods in primary school math curriculum from planning to play evaluation processes. Practical examples of different types of plays in teaching primary mathematics are presented to researchers and classroom teachers.

Algebra is the language that must be mastered for any course that uses math because it is the gateway for entry into any science, technology, engineering, and mathematics (STEM) discipline. This book fosters mastery of critical math and algebraic concepts and skills essential to all of the STEM disciplines and some of the social sciences. This book is written by practitioners whose primary teaching subject is not math but who use math extensively in their courses in STEM disciplines, social science statistics, and their own research. Moreover, in the writing of this book, the authors have used the teaching principles of anchoring, overlearning, pruning the course to its essentials, and using simple and familiar language in word problems.

A fun, colourful Maths Activity Book brimming with charming characters, engaging activities and crystal-clear explanations. Perfect for learning at home or in class, it's loaded with Maths practice for ages 4-5 (Reception), and covers adding, taking away, 2D & 3D shapes and more. Each topic is explained in easy-to-understand language, followed by fun-packed activities and challenges designed to boost your child's confidence and make sure all that knowledge really sticks! We've also thrown in exciting puzzles so your child can apply their Maths skills in a different context. Self-assessment boxes at the end of each topic can be used to keep track of their progress.

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, each covering a mixture of topics and skills - with step-by-step 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 provides excellent practice for the Kent Test. A separate edition for the CEM tests is also available. 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!

Our collected work contains mathematics education research papers. Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.

This fantastic CGP Revision Guide explains everything students will need for success in Grade A*-G WJEC GCSE Maths - and it's suitable for the Higher, Intermediate and Foundation tiers! It's packed with crystal-clear study notes, worked examples and exam-style practice questions (with answers) covering every topic students will need to know - with the Higher and Intermediate content marked up. To top things off, we've also included a free Online Edition of the whole book as well as fully worked answers and mark schemes - just use the unique code in the printed book to access them on a PC, Mac or tablet. For even more practice, don't miss CGP's matching Exam Practice Workbooks for Intermediate (9781789080704) and Higher (9781789080698) WJEC GCSE Maths.

NHM Year 5 Textbook: Uses language at an appropriate reading level. Places maths in a variety of contexts. Provides problem-solving activities. Reinforces and extends your pupils' fluency in number facts and mental calculation strategies.

This book, the outcome of a conference organised in 2012 in Paris as a homage to Michele Artigue, is based on the main component of this event. However, it offers more than a mere reflection of the conference in itself, as various well-known researchers from the field have been invited to summarize the main topics where the importance of Artigue's contribution is unquestionable. Her multiple interest areas, as a researcher involved in a wider community, give to this volume its unique flavour of diversity. Michele Artigue (ICMI 2013 Felix Klein Award, CIAEM 2015 Luis Santalo Award) is without doubt one of the most influential researchers nowadays in the field of didactics of mathematics. This influence rests both on the quality of her research and on her constant contribution, since the early 1970s, to the development of the teaching and learning of mathematics. Observing her exemplary professional history, one can witness the emergence, the development, and the main issues of didactics of mathematics as a specific research field.

In the book, the relationship between affect and modeling is discussed because, as educational psychologists have suggested for decades, affect directly influences achievement. Moreover, given the importance of mathematical modeling and the applications to high level mathematics, it provides the field of mathematics psychology with insight regarding affect, in relation to mathematical modeling. By doing so it helps determine the degree to which understanding of mathematics and understanding affect in mathematical modeling episodes may have a direct effect on cognition.

Train Your Brain for Grade 6 provides extra practice to help your child understand the key Mathematics skills.

The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.

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.

Underpinned by the most effective teaching practices, and created by a team of mastery experts led by Series Editor Tony Staneff, Power Maths is designed to make the whole-class mastery teaching approach work for you, your children and your school. The Power Maths Teacher Guides provide expert support for your day-to-day teaching, and offer opportunities for reflection and continual professional development. Provides guidance on using the Textbooks and Practice Books, explaining how they support a mastery approach. Support with key strategies such as modelling a growth mindset, assessing mastery, speedy same-day intervention, C-P-A approaches and using key mathematical structures and representations. Focused unit-level support for each mathematical concept within the Power Maths progression, including important structures and representations, key language, common misconceptions and intervention strategies. Specific advice and commentary for each pupil book page - including insight into why tasks and exercises have been selected, and how to strengthen and deepen learning. Templates for teacher reflection, lesson study, and tracking pupil progress.

This superb Revision Guide for Edexcel 9-1 GCSE Statistics is chock-full of game-changing study notes, helpful examples and essential exam advice. It contains all the topics from the new 9-1 specification in down-to-earth, crystal-clear language, plus we've thrown in plenty of realistic practice questions to get you well on your way to the top grades. Both Higher and Foundation tiers are covered, with the `Higher-only' material clearly labelled. Full answers are included at the back of the book. For even more brilliant practice check out our amazing 9-1 Statistics Exam Practice Workbook for Edexcel (9781782949527)

"Scottish Heinemann Maths" offers flexible and easy-to-manage ways to plan lessons and a programme of work that reflects the key recommendations of the HMI report "Improving Mathematics Education 5-14". The "Organising and Planning Guide" gives the rationale and ethos of SHM, linking the component parts and advising on planning. A customisable CD at each stage gives 5-14 levelled planning and a weekly planning template. The "Teaching File" provides easy to follow instructions for each lesson. Lessons begin with lively mental activities, followed by a broad range of interactive teaching activities. Structured pupil activities consolidate, reinforce and extend topics, and there are clear suggestions for follow-ups to the main points of the lesson. The progression through each topic is carefully structured to provide a balance of oral and practical work. SHM has pupil resources that are clear, fun and easy to use. Activity books are used for SHM1-4, textbooks and extension textbooks for SHM3-7. A flexible strategy helps teachers monitor pupil progress and inform lesson planning. It offers a three-strand approach to assessment - ongoing (at the end of small blocks of work), assessment for specific topics and longer-term, end-of-level assessment. SHM has been purposefully written to help children achieve a higher standard of attainment. It provides a fast pace of learning and uses a direct, interactive method of teaching, placing considerable emphasis on oral and mental mathematics.

This brilliant book is packed full of friendly questions to build pupils' skills for the KS1 Maths SATs Arithmetic test. There's plenty of practice on every Arithmetic topic - great preparation 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! A Reasoning SAT Buster book (9781782947134) is also available, and answers to both books are printed in a separate Answer Book (9781782947141).

A Volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaInterdisciplinarity is increasingly viewed as a necessary ingredient in the training of future oriented 21st century disciplinesthat rely on both analytic and synthetic abilities across disciplines. Nearly every curricular document or vision statement ofschools and universities include a call for promoting creativity in students. Yet the construct of creativity and giftednessacross disciplines remains elusive in the sense that the prototypical examples of such work come from eminent scientists, artists and mathematicians, and little if any work has been conducted with non-eminent individuals. This monograph is anattempt to fill this gap by putting forth the view that interdisciplinarity and creativity are related constructs, and that thecultivation of domain general creativity is possible. Mathematics has historically been anchored to numerous disciplineslike theology, natural philosophy, culture and art, allowing for a flexibility of thought that is difficult to cultivate in otherdisciplines. In this monograph, the numerous chapters from Australia, U.S.A., Canada, Cyprus, Denmark and Japanprovide a compelling illustration of the intricate connection of mathematics with literature, paradoxes, history, technologyand modeling, thus serving as a conduit for interdisciplinarity, creativity and learning to occur.

Each test should take about 15 minutes, however it is more important that a child completes the test accurately and does not rush their answers. Children will speed up naturally with practice. These tests extend children's learning beyond their expected age-related National Curriculum standard. The testbook provides practice 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. The testbooks are designed to be used in conjunction with the KS2 Maths workbooks as an additional learning tool. After completion, the maths testpack should be used for final exam preparation. Answers, Progress Charts and a Certificate of Achievement are included at the end of the book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 20 years.

This book of SAT Buster 10-Minute tests is a brilliant way to introduce KS2 Maths SATS preparation in bite-sized chunks! Each set of quick tests covers a mixture of maths topics, with questions in the style of the real SATS. Answers are included, along with a handy progress chart to help work out which level children are working at. What's more, we've even thrown in some fun educational puzzle pages to break up all that hard graft. CGP 10-Minute Tests books are also available for Grammar, Punctuation & Spelling (9781782942382) and Reading (9781782942399)!

Structured around Bishop's six fundamental mathematical activities, this book brings together examples of mathematics education from a range of countries to help readers broaden their view on maths and its interrelationship to other aspects of life. Considering different educational traditions and diverse contexts, and illustrating theory through the use of real-life vignettes throughout, this book encourages readers to review, reflect on, and critique their own practice when conducting activities on explaining, counting, measuring, locating, designing, and playing. Aimed at early childhood educators and practitioners looking to improve the mathematics learning experience for all their students, this practical and accessible guide provides the knowledge and tools to help every child.