-Makes mathematics education research on fraction concepts accessible and understandable to pre-service and in-service teachers of grades K-8, allowing teachers to understand evidence in student work and make better instructional decisions. -Uses extensive annotated samples of student work, helping teachers improve their ability to recognize and assess student errors and misconceptions, as well as their understanding, learning, and fluency of fraction concepts. -Built off the wide-scale research gathered in the Ongoing Assessment Project (OGAP), drawn from hundreds of teachers and thousands of examples of student work. -Each chapter includes student work samples and vignettes to illuminate the research, guidance on CCSSM standards, end of chapter questions, professional development activities, and instructional links that help teachers relate concepts back to their own instructional materials and programs. -This edition has been updated throughout with the latest research, CCSSM standards, additional examples and vignettes, and more.

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.

Create confident and capable mathematicians with accessible explanations and engaging activities. This book gradually builds on prior knowledge to deepen understanding through clear explanations, worked examples and hundreds of differentiated questions, as well as class activities that you can choose from to build your lessons and teaching plans. Designed to be used flexibly, this scheme covers the four 'what matters' statements and follows the five principles of progression from the Curriculum for Wales. - Develop pupils' conceptual understanding and communication with symbols throughout using plenty of worked examples and banded questions that get progressively more difficult - Target fluency, logical reasoning and strategic competence by using the markers included in each exercise question - Improve outcomes by selecting from banded questions most suited to enable progression - Ease the transition between progression steps with skill-checker activities at the start of each topic and review questions after each chapter - Link topics to other areas of learning, such as Science and Technology, with cross-curricular activities and discussion points

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.

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.

Same But Different Math is a powerful routine to help students improve their mathematical reasoning, clarify concepts and make critical connections between ideas. Popular math consultant Sue Looney takes you step by step through implementation so you can easily add this routine into your toolbox. She establishes the rationale for the routine and then walks you through specific examples of when to use it, how to use it and how to make specific connections for learners. Throughout the book, you'll find examples of lessons with images from a range of grade levels and mathematical content to show you the routine in action. There are also exercises for you to complete while reading to help you apply what you've learned, as well as a handy planning section with a template and resource links. In addition, there are Appendices featuring additional examples, which you can download from our website www.routledge.com/9781032126555 for classroom use. With the helpful features in this book, you'll come away confidently able to implement this routine, bringing all your students to deeper levels of understanding in math.

Same But Different Math is a powerful routine to help students improve their mathematical reasoning, clarify concepts and make critical connections between ideas. Popular math consultant Sue Looney takes you step by step through implementation so you can easily add this routine into your toolbox. She establishes the rationale for the routine and then walks you through specific examples of when to use it, how to use it and how to make specific connections for learners. Throughout the book, you'll find examples of lessons with images from a range of grade levels and mathematical content to show you the routine in action. There are also exercises for you to complete while reading to help you apply what you've learned, as well as a handy planning section with a template and resource links. In addition, there are Appendices featuring additional examples, which you can download from our website www.routledge.com/9781032126555 for classroom use. With the helpful features in this book, you'll come away confidently able to implement this routine, bringing all your students to deeper levels of understanding in math.

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 perfect companion to Grade 9-1 Edexcel International GCSE Maths, this all-in-one CGP Complete Revision & Practice guide has everything students need to feel confident walking into their exams. It's packed with crystal-clear study notes for both Foundation and Higher tiers, with plenty of examples. We've also included warm-up questions, realistic exam-style questions (with answers), worked exam questions and revision summaries at the end of each section. What's more, the book is rounded off with two practice papers to make sure they're fully prepared! There's even a free Online Edition of the whole book - just use the code printed inside the book to access it on your PC, Mac or tablet.

Om wiskunde saam met Tippie die olifant te leer is maklik!

"Tippie doen wiskunde" bied 'n prettige en unieke manier om om geletterdheidsvaardighede te bemeester. Die Vlak 3 Wiskunde-reeks bou voort op die voorafgaande kennis van Vlak 2, wat verder die grondslag van wiskundige geletterdheid verbeter.

Vlak 3 bied kinders die geleentheid om verskeie vaardighede deu r spesifieke temas te leer en toe te pas.

"Tippie doen wiskunde" is progressief, en ons beveel aan dat daar vanaf Boek 1 gewerk word om retensie te verseker.

Die breë uitkomste vir hierdie reeks sluit getalle, bewerkings en verhoudings in.

Patrone, funksies en algebra, sowel as ruimte, vorm, meting en datahantering, word progressief aangebied.

"Tippie doen wiskunde" Vlak 3 fokus op 'n uitgebreide getalreeks en sluit funksionele uitkomste in. Duidelike progressie en kurrikulumuitbreiding is integrale dele van die reeks.

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.

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.

Om wiskunde saam met Tippie die olifant te leer is maklik!

"Tippie doen wiskunde" bied 'n prettige en unieke manier om om geletterdheidsvaardighede te bemeester. Die Vlak 3 Wiskunde-reeks bou voort op die voorafgaande kennis van Vlak 2, wat verder die grondslag van wiskundige geletterdheid verbeter.

Vlak 3 bied kinders die geleentheid om verskeie vaardighede deu r spesifieke temas te leer en toe te pas.

"Tippie doen wiskunde" is progressief, en ons beveel aan dat daar vanaf Boek 1 gewerk word om retensie te verseker.

Die breë uitkomste vir hierdie reeks sluit getalle, bewerkings en verhoudings in.

Patrone, funksies en algebra, sowel as ruimte, vorm, meting en datahantering, word progressief aangebied.

"Tippie doen wiskunde" Vlak 3 fokus op 'n uitgebreide getalreeks en sluit funksionele uitkomste in. Duidelike progressie en kurrikulumuitbreiding is integrale dele van die reeks.

Om wiskunde saam met Tippie die olifant te leer is maklik!

"Tippie doen wiskunde" bied 'n prettige en unieke manier om om geletterdheidsvaardighede te bemeester. Die Vlak 3 Wiskunde-reeks bou voort op die voorafgaande kennis van Vlak 2, wat verder die grondslag van wiskundige geletterdheid verbeter.

Vlak 3 bied kinders die geleentheid om verskeie vaardighede deu r spesifieke temas te leer en toe te pas.

"Tippie doen wiskunde" is progressief, en ons beveel aan dat daar vanaf Boek 1 gewerk word om retensie te verseker.

Die breë uitkomste vir hierdie reeks sluit getalle, bewerkings en verhoudings in.

Patrone, funksies en algebra, sowel as ruimte, vorm, meting en datahantering, word progressief aangebied.

"Tippie doen wiskunde" Vlak 3 fokus op 'n uitgebreide getalreeks en sluit funksionele uitkomste in. Duidelike progressie en kurrikulumuitbreiding is integrale dele van die reeks.

Concerns about quality mathematics education are often posed in terms of the types of mathematics that are worthwhile and valuable for both the student and society in general, and about how to best support students so that they can develop this mathematics. Concerns about equity are about who is excluded from the opportunity to develop quality mathematics within our current practices and systems, and about how to remove social barriers that systematically disadvantage those students. This collection of chapters summarises our learning about the achievement of both equity and quality agendas in mathematics education and to move forward the debate on their importance for the field.

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.

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.

Om wiskunde saam met Tippie die olifant te leer is maklik!

"Tippie doen wiskunde" bied 'n prettige en unieke manier om om geletterdheidsvaardighede te bemeester. Die Vlak 3 Wiskunde-reeks bou voort op die voorafgaande kennis van Vlak 2, wat verder die grondslag van wiskundige geletterdheid verbeter.

Vlak 3 bied kinders die geleentheid om verskeie vaardighede deu r spesifieke temas te leer en toe te pas.

"Tippie doen wiskunde" is progressief, en ons beveel aan dat daar vanaf Boek 1 gewerk word om retensie te verseker.

Die breë uitkomste vir hierdie reeks sluit getalle, bewerkings en verhoudings in.

Patrone, funksies en algebra, sowel as ruimte, vorm, meting en datahantering, word progressief aangebied.

"Tippie doen wiskunde" Vlak 3 fokus op 'n uitgebreide getalreeks en sluit funksionele uitkomste in. Duidelike progressie en kurrikulumuitbreiding is integrale dele van die reeks.

This superb CGP in-depth Student Book covers everything you need to succeed in Edexcel 9-1 GCSE Maths. It's packed with detailed, accessible notes, backed up with fully worked examples. Practice questions and exam-style questions are included throughout, complete with worked solutions. Each section is rounded off with a review exercise - perfect for recapping all of the content pupils have learnt. We've even included handy references to the Edexcel specification and learning objectives so you know exactly which bits of the spec are covered by each part of the book. A free Online Edition of the whole book is also included - just use the unique code printed inside the front cover to access it on a PC, Mac or tablet!

Sluit aan by Bollie, die vrolike blou hasie, op sy eerste dag by die skool! Bollie is opgewonde, maar ook 'n bietjie senuweeagtig om nuwe vriende te ontmoet en nuwe dinge te leer. Met die hulp van sy onderwyser, wat alles weet, ontdek Bollie die vreugde van die
leer van die dae van die week, die toeknoop van sy baadjie, en die herkenning van kleure en vorms. Hierdie hartverwarmende storie moedig onafhanklikheid en selfvertroue aan by jong lesers, wat dit 'n perfekte leesstof maak vir kinders wat op die punt staan
om met skool te begin.

Die Bollie-reeks bied 'n veilige, opvoedkundige en vermaaklike ervaring wat die ontwikkeling van voorskoolse en vroeë skoolgaande kinders ondersteun. Ouers vertrou Bollie om kwaliteittyd en waardevolle leergeleenthede vir hul kinders te bied, wat hulle help om selfversekerd en onafhanklik groot te word.

Om wiskunde saam met Tippie die olifant te leer is maklik!

"Tippie doen wiskunde" bied 'n prettige en unieke manier om om geletterdheidsvaardighede te bemeester. Die Vlak 3 Wiskunde-reeks bou voort op die voorafgaande kennis van Vlak 2, wat verder die grondslag van wiskundige geletterdheid verbeter.

Vlak 3 bied kinders die geleentheid om verskeie vaardighede deu r spesifieke temas te leer en toe te pas.

"Tippie doen wiskunde" is progressief, en ons beveel aan dat daar vanaf Boek 1 gewerk word om retensie te verseker.

Die breë uitkomste vir hierdie reeks sluit getalle, bewerkings en verhoudings in.

Patrone, funksies en algebra, sowel as ruimte, vorm, meting en datahantering, word progressief aangebied.

"Tippie doen wiskunde" Vlak 3 fokus op 'n uitgebreide getalreeks en sluit funksionele uitkomste in. Duidelike progressie en kurrikulumuitbreiding is integrale dele van die reeks.