Parents are social factors in children's lives that can positively influence math achievement; and one does not need a degree in math to provide support! What one needs is a guidebook filled with good questions to pose, tips for supporting math thinking and general attitudes about math, and an "insider's view" into what math teaching and learning looks like in today's classrooms. This book serves as that guidebook, and its author invites parents to use it while making sense of math with children. Parents and children are encouraged to share and celebrate multiple ways of solving math examples, rather than debate over the better approach. Chapter 1 includes a description about how and why math teaching has changed through the years. The big math ideas taught through the grades are outlined in Chapter 2. Chapters 3 through 5 offer detailed descriptions about how big math ideas develop in Grades Kindergarten through 2, 3 through 5, and 6 through 8, respectively. In conclusion, Chapter 6 offers tasks that provide additional entry points for engaging in conversation about math at home.

This book focuses on issues related to mathematics teaching and learning resources, including mathematics textbooks, teacher guides, student learning and assessment materials, and online resources. The book highlights various theoretical and methodological approaches used to study teaching and learning resources, and addresses the areas of resources, teachers, and students at an international level. As for the resources, the book examines the role textbooks and other curricular or learning resources play in mathematics teaching, learning, and assessment. It asks questions such as: Could we consider different types of textbooks and roles they play in teaching and learning? How does the digitalization of information and communication affect these roles? What are defining features of e-textbooks, and how could we characterize the differences between the traditional textbooks and e-textbooks? As for the teachers, the book discusses the relationships between teachers' individual and collective resources, and the way in which we could model such relationships. Specific questions addressed are: What is the role of teachers in developing textbooks and other teaching and learning materials? What are the relationships between resource designers and users? What are the consequences of these changing roles and relationships for the teaching of mathematics, and for teacher knowledge and professional development? As for the students, the book explores how students, as well as their teachers, interact through resources. It raises and addresses questions such as: What are the effects of modern ICT (particularly internet) on students' use and the design of resources? How do changing patterns of use and design affect student behaviour, learning, and relationships to the subject of mathematics?

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.

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.

* Conceptual understanding is a major aim of mathematics education identified in the mathematics curriculum of many countries * Bridges the gap in the literature between the training and the applications of concept mapping * Utilizes a new technique derived from social network analysis to analyze concept maps

The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep -seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers' patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students' learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov's Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.

Motivate and nurture every pupil with bespoke support and inclusive, age-appropriate content for those working towards Second Level Maths in secondary schools. This rigorous approach guides learners through mathematical concepts with worked examples, plenty of practice and opportunities to check that skills are secure before moving on. Covering all CfE Second Level Benchmarks, this ready-made and differentiated course puts progression for all pupils at the heart of your curriculum. > Make new learning manageable: Each concept is introduced through step-by-step explanations and progressive worked examples, with proven methods for mastering more difficult concepts > Apply knowledge and practise skills: Pupils are encouraged to test and explore their understanding of new concepts by completing exercises that gradually build in difficulty - with answers included at the back of the book > Meet the needs of each pupil in your class: The explanations and activities are designed to ensure accessibility for all, while extension tasks provide further stretch and challenge > Effectively check and assess progress: 'Check-up' exercises at the end of each chapter consolidate learning and support formative assessment, helping you to monitor progression against the Experiences & Outcomes and Benchmarks > Deliver the 'responsibility for all' Es and Os: Plenty of activities that address literacy and health and wellbeing skills are threaded through the book

* The earliest theoretical and practical research monograph on deeper learning in China * Constructs a new method system of educational research which integrates brain science, psychology, pedagogy and information technology * The result is expected to guide school and classroom reform of basic education, preschool education and vocational education

What makes the Platinum Mathematics grade 12 course unique? Platinum Mathematics is the only series by any publisher to have been approved from grades 1 to 12; a textbook and study guide in one complete package. No need for any additional study material; revision tests after each topic, as well as term 4 focusing completely on exam revision and exam preparation; complete mid-year and preliminary examination papers as well as comprehensive memoranda provided; key words boxes, remember boxes and margin notes, highlight and remind learners about important concepts which they have covered previously and will need to apply in the relevant topic; photocopiable target worksheets provided for remediation and enrichment, for all topics; worked examples prior to exercises, provide a clear, visual example for learners to follow when completing exercises; photocopiable tests and examinations which satisfy CAPS formal. Platinum - simply superior: Superior CAPS coverage and written by expert authors; superior illustrations and activities to improve results and motivate learners; superior teacher support to save time and make teaching easy, including photocopiable worksheets; superior quality = exam success!

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.

-Offers an innovative introduction to the psychology of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. - In clear, engaging writing, award-winning mathematician and educator Norton Anderson explores the psychological basis for mathematics at every level, relevant for pre-service and in-service secondary and elementary math teachers, math teacher educators, and anyone interested in the nature of mathematics. -Reflections and exercises are included in each chapter, as well as footnotes for those interested in building off their understanding with related research.

-Offers an innovative introduction to the psychology of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. - In clear, engaging writing, award-winning mathematician and educator Norton Anderson explores the psychological basis for mathematics at every level, relevant for pre-service and in-service secondary and elementary math teachers, math teacher educators, and anyone interested in the nature of mathematics. -Reflections and exercises are included in each chapter, as well as footnotes for those interested in building off their understanding with related research.

Sut i Ddisgleirio mewn Adio a Thynnu hyd at 20 yn cynnwys cyfoeth amrywiol o weithgareddau llungopio a gemau sydd yn mynd i alluogi plant i fod yn alluog mewn adio a thynnu hyd at 20. Dar para'r taflenni gyfleoedd helaeth i'r plant i gadarnhau ac i atgyfnerthu y sgiliau allweddol mewn rhif.

Spot On is spot on! The most popular course in South Africa, Spot On has everything a learner needs in one book. Spot On improves results, makes learning enjoyable, makes teaching a pleasure and is easy to use. The Spot On Teacher’s Guide comes with printable planning material, Formal Assessment Tasks, revision tests and exams.

Mastering Basic Skills(R) Prekindergarten includes comprehensive content for early learners. Topics include fine motor and printing skills, basic concepts, colors and shapes, numbers, readiness skills, alphabet, and safety. The Mastering Basic Skills(R) series includes grade-specific math and language arts activities as well as reading lists, skills checklists, awards, and mini books. The comprehensive content and extra features increase the value of this series making it an appealing choice to parents looking for extra at-home practice for their child.

-Offers a theory of secondary mathematics teacher learning in schools to achieve ambitious and equitable mathematics in their classroom, drawing on sociocultural learning theory. -Explores teacher learning as well as the role of context in teacher learning, using closely-documented case studies from across the US. -Offers researchers and scholars new theoretical and methodological tools for the elusive phenomenon of teacher learning, and instructional leaders and coaches practical examples of how teachers shift their thinking and practice.

-Offers a theory of secondary mathematics teacher learning in schools to achieve ambitious and equitable mathematics in their classroom, drawing on sociocultural learning theory. -Explores teacher learning as well as the role of context in teacher learning, using closely-documented case studies from across the US. -Offers researchers and scholars new theoretical and methodological tools for the elusive phenomenon of teacher learning, and instructional leaders and coaches practical examples of how teachers shift their thinking and practice.

This selection of worksheets is designed to develop children's ability to do fast and accurate mental calculations. Written in the Welsh language, there are at least 40 photocopiable practical activities for use with pupils aged five-to-seven working at Key Stage 1 (P1-3).

The Heinemann Mathematics scheme has been developed by the authors of the primary course SPMG, with the aim of building on established strengths to provide a structured development of children's mathematical knowledge and skills within the revised curricula.

This book provides a common language for and makes connections between transfer research in mathematics education and transfer research in related fields. It generates renewed excitement for and increased visibility of transfer research, by showcasing and aggregating leading-edge research from the transfer research community. This book also helps to establish transfer as a sub-field of research within mathematics education and extends and refines alternate perspectives on the transfer of learning. The book provides an overview of current knowledge in the field as well as informs future transfer research.

Mae Sut i Ddisgleirio mewn Cyfrif hyd at 10 yn cynnwys cyfoeth amrywiol o weithgareddau diddorol a gemau sydd yn mynd i alluogi plant i ddatblygu dealltwriaeth drylwyr o rifau hyd at 10. Mae taflenni llungopo yn trin paru un i un, prifolion a threfnolion, patrymau cyfrif a mwy/llai na.