This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.

This book brings together various studies that assume phenomenology to analyze how mathematics education is affected by the experience of being in the cyberspace. The authors of the chapters included in this contributed volume work with the theoretical framework developed by authors such as Edmund Husserl, Martin Heidegger and Maurice Merleau-Ponty to investigate how mathematics is produced and comprehended in a new way of being in the world, with digital technologies. The aim of this book is not to explain the tools used and how one works with them in the cyberspace, aiming at better teaching and learning mathematics. Its purpose is to present philosophical investigations that contribute to the understanding of the complexity of the world in which we are being researchers and mathematics teachers. By doing so, Constitution and Production of Mathematics in the Cyberspace - A Phenomenological Approach will help researchers and mathematics teachers understand their role in a world in which the experience of teaching and learning mathematics is being radically changed by new technologies and new ways of being in this world.

*Thoroughly revised and adapted to cover all the key areas of the Australian Curriculum: Mathematics. *Accessible and engagingly written, this book offers a wealth of practical ideas for use in the classroom and is an essential text for graduate and practicing teachers alike. *Since first published in 2010 this book has become a fixture in many university and school-based teacher training programmes. It is a well-regarded and popular text which sells consistently well.

First Published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

Exam Board: OCR Level: Free Standing Mathematics Qualification Subject: Additional Mathematics First Teaching: September 2018 First Exam: June 2019 Benefit from the expert input of subject specialists with examining experience in this assessment-led Exam Practice Book, tailored to the 2018 specification and packed with exam-style questions. - Prepare for the exam with hundreds of exam-style questions that are matched to the new specification. - Provide structured support and extra practice with questions focused on reasoning and problem-solving. - Create opportunities for self-directed learning and assessment with full step-by-step worked solutions and mark schemes online, plus answers in the back of the book. - Consolidate knowledge learnt in class and can be used to alongside the textbooks and the revision guide.

One of the greatest barriers to completing a graduate thesis or a doctoral dissertation is statistics. Oftentimes, the journey through graduate school is gratifying when the content courses in the chosen field of study are undertaken. Conversely, the statistics courses are met with trepidation. Many graduate students feel lost when it comes to dealing with data. Simplifying Statistics for Grad Students:Making the Use of Data Simple and User-Friendly is intended to help graduate students move through the barriers that seem formidable but are not. While this book is not a statistics text and does not purport to be such, it introduces graduate students to basic statistical concepts in an easy-to-comprehend manner. It is also a handbook that they can refer back to time and time again. Expertise with data is expected of graduate students. Simplifying Statistics for Grad Students is an antidote for the research and statistics blues.

This book addresses the point of intersection between cognition, metacognition, and culture in learning and teaching Science, Technology, Engineering, and Mathematics (STEM). We explore theoretical background and cutting-edge research about how various forms of cognitive and metacognitive instruction may enhance learning and thinking in STEM classrooms from K-12 to university and in different cultures and countries. Over the past several years, STEM education research has witnessed rapid growth, attracting considerable interest among scholars and educators. The book provides an updated collection of studies about cognition, metacognition and culture in the four STEM domains. The field of research, cognition and metacognition in STEM education still suffers from ambiguity in meanings of key concepts that various researchers use. This book is organized according to a unique manner: Each chapter features one of the four STEM domains and one of the three themes-cognition, metacognition, and culture-and defines key concepts. This matrix-type organization opens a new path to knowledge in STEM education and facilitates its understanding. The discussion at the end of the book integrates these definitions for analyzing and mapping the STEM education research. Chapter 4 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com

The six books in the 'Maths Problem Solving' series have been written for teachers to use during the numeracy lesson. They cover the 'solving problems' objectives from the numeracy framework. There is one book for each year group. The Year 5 book contains clear photocopiable resources organized into three chapters; Making decisions, Reasoning about numbers or shapes, Problems involving 'real life', and money or measures. Each chapter contains six lessons, one to be used each half term. The length of the problems in each book vary with short, medium and more extended problems for the children to solve. The problems on each page are mixed so the children do not assume that the solution process is the same each time but have to understand the problem. The problems are varied in their complexity. Some are one-step problems, other two-step and the vocabulary differs in each problem. The problems are presented in a meaningful, age-appropriate manner with topics the children will find relevant. They will be motivated to find the answer.

The six books in the 'Maths Problem Solving' series have been written for teachers to use during the numeracy lesson. They cover the 'solving problems' objectives from the numeracy framework. There is one book for each year group. The Year 4 book contains clear photocopiable resources organized into three chapters; Making decisions, Reasoning about numbers or shapes, Problems involving 'real life', and money or measures. Each chapter contains six lessons, one to be used each half term. The length of the problems in each book vary with short, medium and more extended problems for the children to solve. The problems on each page are mixed so the children do not assume that the solution process is the same each time but have to understand the problem. The problems are varied in their complexity. Some are one-step problems, other two-step and the vocabulary differs in each problem. The problems are presented in a meaningful, age-appropriate manner with topics the children will find relevant. They will be motivated to find the answer.

The six books in the 'Maths Problem Solving' series have been written for teachers to use during the numeracy lesson. They cover the 'solving problems' objectives from the numeracy framework. There is one book for each year group. The Year 6 book contains clear photocopiable resources organized into three chapters; Making decisions, Reasoning about numbers or shapes, Problems involving 'real life', and money or measures. Each chapter contains six lessons, one to be used each half term. The length of the problems in each book vary with short, medium and more extended problems for the children to solve. The problems on each page are mixed so the children do not assume that the solution process is the same each time but have to understand the problem. The problems are varied in their complexity. Some are one-step problems, other two-step and the vocabulary differs in each problem. The problems are presented in a meaningful, age-appropriate manner with topics the children will find relevant. They will be motivated to find the answer.

Rapid Maths is the ideal way to help struggling learners catch up with their peers in maths. With lots of variety plus software and games, Rapid Maths makes catch-up fun and gives each child personalised support and repeated practice in the fundamentals of numeracy. Plus, it's proven to double children's progress in number skills. Helps children master basic number skills to enable them to access the curriculum. Clear layout and a concrete-pictorial-abstract approach helps to support struggling learners. Gradual spiral progression in number skills to aid confidence. Varied and engaging 'real life' maths activities. Time saving and accessible teacher and TA resources. Ideal for home learning. Textbook with questions for child to work through with adult support.

This full-colour book contains everything children and parents need to know for success in 11+ Maths (and other selective entrance exams). With its spacious layout and easy-to-read explanations, it's the clearest guide you'll find - ideal for ages 10-11. For each topic, there are crystal-clear study notes, step-by-step methods for answering questions accurately and regular round-up questions (with answers) to check progress. A Benchmark Test is also included to help identify the level that children are working at, and the 11+ resources that will be most helpful to them. Finally, there's a detailed pull-out Parents' Guide packed with advice for making the whole 11+ experience as smooth, stress-free and successful as possible. 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. What's more, a free Online Edition of the whole book is included - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet!

The six books in the 'Maths Problem Solving' series have been written for teachers to use during the numeracy lesson. They cover the 'solving problems' objectives from the numeracy framework. There is one book for each year group. The Year 2 book contains clear photocopiable resources organized into four chapters; Making decisions, Reasoning about numbers or shapes, Problems involving 'real life', money or measures, and Organizing and using data. Each chapter contains six lessons, one to be used each half term. The length of the problems in each book vary with short, medium and more extended problems for the children to solve. The problems on each page are mixed so the children do not assume that the solution process is the same each time but have to understand the problem. The problems are varied in their complexity. Some are one-step problems, other two-step and the vocabulary differs in each problem. The problems are presented in a meaningful, age-appropriate manner with topics the children will find relevant. They will be motivated to find the answer.

180 Days of Problem Solving is a fun and effective daily practice workbook designed to help students improve critical-thinking and reasoning skills. This easy-to-use first grade workbook is great for at-home learning or in the classroom. The engaging standards-based activities cover grade-level skills with easy to follow instructions and an answer key to quickly assess student understanding. Students will focus on one skill each week to learn the problem-solving process, use visual models, and solve multi-step, non-routine word problems. Watch as students build problem solving skills with these quick independent learning activities.Parents appreciate the teacher-approved activity books that keep their child engaged and learning. Great for homeschooling, to reinforce learning at school, or prevent learning loss over summer.Teachers rely on the daily practice workbooks to save them valuable time. The ready to implement activities are perfect for daily morning review or homework. The activities can also be used for intervention skill building to address learning gaps.

The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.

The six books in the 'Maths Problem Solving' series have been written for teachers to use during the numeracy lesson. They cover the 'solving problems' objectives from the numeracy framework. There is one book for each year group. The Year 3 book contains clear photocopiable resources organized into three chapters; Making decisions, Reasoning about numbers or shapes, Problems involving 'real life', and money or measures. Each chapter contains six lessons, one to be used each half term. The length of the problems in each book vary with short, medium and more extended problems for the children to solve. The problems on each page are mixed so the children do not assume that the solution process is the same each time but have to understand the problem. The problems are varied in their complexity. Some are one-step problems, other two-step and the vocabulary differs in each problem. The problems are presented in a meaningful, age-appropriate manner with topics the children will find relevant. They will be motivated to find the answer.

Christmas Activities for KS1 Maths contains fun festive mathematical activities, designed harness children's enthusiasm at this exciting time of the year and keep them on task. The activities are linked to the National Numeracy Strategy targets, so integrating them into your planning is easy. Reception children will practise counting from left to right and add one on to help Santa load his sleigh. Year 1 children will sort toys into pairs and estimate the number of stars. Year 2 children will have the opportunity to learn about money when buying presents and can practise counting back in 10s with starry numbers. Now you can exploit the children's natural enthusiasm for the season and inspire them to create especially good work with this bank of fun, stimulating ideas and activities - so you can all enjoy the run-up to Christmas!

The six books in the 'Maths Problem Solving' series have been written for teachers to use during the numeracy lesson. They cover the 'solving problems' objectives from the numeracy framework. There is one book for each year group. The Year 1 book contains clear photocopiable resources organized into four chapters; Making decisions, Reasoning about numbers or shapes, Problems involving 'real life', money or measures, and Organizing and using data. Each chapter contains six lessons, one to be used each half term. The length of the problems are varied in each book with short, medium and more extended problems for the children to solve. The problems on each page are mixed so the children do not assume that the solution process is the same each time but have to understand the problem. The problems are varied in their complexity. Some are one-step problems, other two-step and the vocabulary differs in each problem. The problems are presented in a meaningful, age-appropriate manner with topics the children will find relevant. They will be motivated to find the answer.

Fully updated to reflect the new curriculum, the revised edition of Transforming Primary Mathematics sets out key theories and cutting-edge research in the field to enable teachers to take a fresh look at how they teach mathematics.

The book encourages teachers to reflect on their own beliefs and values about mathematics, and asks them to question whether their current methods meet the needs of all learners, and the challenge of having high expectations for all. It provides clear, practical approaches to help implement fundamental change in classroom environments, and offers motivational teaching styles to ensure meaningful mathematics learning.

Chapters take an inspiring, sometimes controversial, and often unconventional look at the subject of mathematics, by:

endorsing the use of a ‘new mathematics’ – one based on problem solving, modelling, inquiry and reasoning, not on abstract rules, memorising, and regurgitation

arguing that there is more to maths teaching than ‘death by a thousand worksheets’

challenging norms, such as the practice of sorting children into sets based on their perceived mathematical ability

asking whether mathematical ability is innate or a result of social practices

examining what a ‘mastery’ approach might entail

highlighting the role of variation in supporting learning

advocating an environment where teachers are encouraged to take risks.

Transforming Primary Mathematics is for all primary school teachers who want to make mathematics welcoming, engaging, inclusive and successful.

Table of Contents

PART 1 Thinking through mathematics 2. Thinking about learning 3. Thinking about curriculum 4. Thinking about teaching PART 2 Transforming primary mathematics 5. Mathematical activity: mindful or fluent? 6. Variation theory 7. Transforming the learner 8. Building mathematical community PART 3 Teaching tripod 9. Tasks 10. Tools 11. Talk Coda /

Learning numeracy skills is super easy with Tippie the Elephant!

“Tippie Does Maths” offers a fun and unique way to master numeracy skills. The Level 3 Mathematics series builds on the prior knowledge from Level 2, further enhancing the foundational blocks of mathematical literacy. Level 3 provides children with the opportunity to learn and apply various skills through specific themes.

“Tippie Does Maths” is progressive, and we recommend starting with Book 1 to ensure retention.

The broad outcomes for this series include numbers, operations, and relationships.

Patterns, functions, and algebra, as well as space, shape, measurement, and data handling, are presented progressively.

“Tippie Does Maths” Level 3 focuses on an extended number range and includes functional outcomes. Clear progression and curriculum extension are integral parts of the series.

Learning numeracy skills is super easy with Tippie the Elephant!

“Tippie Does Maths” offers a fun and unique way to master numeracy skills. The Level 3 Mathematics series builds on the prior knowledge from Level 2, further enhancing the foundational blocks of mathematical literacy. Level 3 provides children with the opportunity to learn and apply various skills through specific themes.

“Tippie Does Maths” is progressive, and we recommend starting with Book 1 to ensure retention.

The broad outcomes for this series include numbers, operations, and relationships.

Patterns, functions, and algebra, as well as space, shape, measurement, and data handling, are presented progressively.

“Tippie Does Maths” Level 3 focuses on an extended number range and includes functional outcomes. Clear progression and curriculum extension are integral parts of the series.

This book is a brilliant source of test-style practice questions for Year 5 Maths pupils - all perfectly matched to the latest curriculum! There are questions for each topic, with space on each page for pupils to write their answers and any working out, plus mark schemes so that you can keep track of their progress. There are also Warm-Up Questions to get pupils started, and Greater Depth Questions to help them really master a topic. And there's more! We've included Objectives Tests at the start and end of the book, and Progress Tests to keep track of how pupils are getting on. You'll find answers to everything at the back. We also have a matching Year 5 Maths Targeted Study Book (9781847621924) - it's packed with clear study notes and examples to explain every topic!

For Minecraft fans, learning basic math can be (almost) as much fun as online gaming with this full-color workbook! This kid-friendly guide features well-loved video game characters and concepts to reinforce the development of first and second grade math skills laid out in the national Common Core State Standards. Colorfully-illustrated and high-interest word problems use beloved items from the Overworld, the Nether, and the End to turn math into an exciting adventure. Whether they're adding diamond swords, potions, and mooshrooms, or subtracting the number of Nether skeletons, Ghasts, and Endermen they've destroyed, the problems in this workbook will appeal to even the most reluctant student. They'll practice all of the word problem skills they need in school, including: Grade 1: Adding and subtracting whole numbers up to 20 Adding three whole numbers up to 20 Identifying the correct operation to use (addition or subtraction) Solving for a missing number Grade 2: Adding and subtracting whole numbers up to 100 Solving one- and two-step word problems Skip to the pages that suit your child's needs and learning style or start at the beginning and advance page by page-it's up to you! As the workbook progresses, the problems become more challenging so that learners of all levels can enjoy an exciting, skill-building math adventure. Perfect for Minecrafters who learn at all paces, Math for Minecrafters Word Problems: 1st and 2nd Grade is as fun as it is educational-and is just what your little learner needs to get ahead academically! This educational series is created especially for readers who love the fight of good vs. evil, magical academies like Hogwarts in the Harry Potter saga, and games like Minecraft, Terraria, and Pokemon GO.

Learning numeracy skills is super easy with Tippie the Elephant!

“Tippie Does Maths” offers a fun and unique way to master numeracy skills. The Level 3 Mathematics series builds on the prior knowledge from Level 2, further enhancing the foundational blocks of mathematical literacy. Level 3 provides children with the opportunity to learn and apply various skills through specific themes.

“Tippie Does Maths” is progressive, and we recommend starting with Book 1 to ensure retention.

The broad outcomes for this series include numbers, operations, and relationships.

Patterns, functions, and algebra, as well as space, shape, measurement, and data handling, are presented progressively.

“Tippie Does Maths” Level 3 focuses on an extended number range and includes functional outcomes. Clear progression and curriculum extension are integral parts of the series.