This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters' mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students and teachers perspectives on mathematics learning, especially school compared to beyond-school mathematics.

This series has been endorsed by Cambridge Assessment International Education. Practise and consolidate knowledge gained from the Student's Book with this write-in workbook full of corresponding learning activities. - Save time when planning with ready-made homework or extension exercises. - Reinforce student's understanding of key mathematical concepts with varied question types, knowledge quizzes and the use of ICT. - Challenge learners with extra practice activities to encourage regular self-assessment.

The Mathematics Teacher's Guide contains a year plan, the four term plans, possible time schedules for a full week and daily step-by-step teaching plans for 40 weeks for the subject. The teaching plans include the following: the weekly teaching plan, hints and essential information as background knowledge before the lessons are tackled, the rhymes and songs mentioned in the teaching plan, complete step-by-step lessons for each day and guidance on how to complete the prescribed assessment tasks. The CD in the Teacher's Guide contains the year and term plans for the subject, so that the teacher can print it out and keep it at hand, free resources for teacher and learner, free prescribed worksheets, the theme-oriented stories mentioned in the teaching plans, the sheet music for the songs in the teaching plans and the assessment forms and rubrics. The Teacher's Guide is written by experts in the field of the Foundation Phase. All the authors have years of experience and have been involved in series which has been successfully used in schools. The series has been developed under the guidance of Mart Meij whose various educational series, from Grade R to 3, are widely used by schools. The New All-In-One series is nationally recognised and used in many schools. The Teacher's Guides not only provide lessons for the teacher that describe exactly what to do, but also background information so that the teacher knows why certain instructions are included in the lesson. The teaching plans include innovative, multisensory activities that promote active learning and accommodate different learning styles. The guides contain a CD with full colour free resources which can be used over and over by the teacher and the learner. Free worksheets on the CD can be downloaded and printed so that it is not necessary to buy workbooks.

This book brings together international research on school teachers', and university lecturers' uses of digital technology to enhance teaching and learning in mathematics. It includes contributions that address theoretical, methodological, and practical challenges for the field with the research lens trained on the perspectives of teachers and teaching. As countries around the world move to integrate digital technologies in classrooms, this book collates research perspectives and experiences that offer valuable insights, in particular concerning the trajectories of development of teachers' digital skills, knowledge and classroom practices.

What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author's longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author's reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon - that is, seeing the visual in the symbolic and the symbolic in the visual."

Why do some students achieve more than others? Do we have to wait until pupils are ready? Can children discover math for themselves? Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.

Teaching Mathematics: Foundation to Senior Phase is the second edition of the first South African text on mathematics methodology. It includes reference to the South African mathematics syllabus as contained in the Curriculum and Assessment Policy Statement (CAPS) and focuses on typical challenges faced in the mathematics classroom in South Africa and southern African countries. Teaching Mathematics also contributes to the Africanisation of the discipline of mathematics education by stimulating thought and research about African perspectives and indigenous knowledge, including the language of location and the importance of using place-based examples in the classroom. The text makes use of African contexts in the teaching of mathematics, using African examples to which learners can relate, such as local names, artefacts, and elements of cultural heritage. Teaching Mathematics has a unique structure that takes readers through the stages of how learners learn mathem at ics, and how to teach mathematics, before drilling down to specific themes. The book provides practical pedagogy that will connect student teachers to the bigger picture of mathematics. This textbook will encourage student teachers to feel positive about mathematics and their role in teaching it, and to enter the classroom confident that they are equipped with the practical knowledge, skills and strategies for teaching mathematics.

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.

The only textbook that completely covers the OxfordAQA International GCSE Mathematics Extended Level specification (9260), for first teaching from September 2016. Written by experienced authors, the clear, international approach ensures strong mathematical understanding and provides exam-focused practice to build assessment confidence. Ensure students develop the key mathematical, reasoning and problem solving skills needed for the Extended Level exam and provide an excellent grounding for A Level study. This pack includes one print textbook and one online textbook. 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.

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 pack includes one print textbook and one online textbook. The online textbook includes multiplatform access, compatible with PCs, Macs, iPads, tablets and more. The license is valid until 31st December 2026.

"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.

The only textbook that completely covers the OxfordAQA International GCSE Mathematics Extended Level specification (9260), for first teaching in September 2016. Written by experienced authors, the clear, international approach strengthens 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 Mathematiics Extended Level exam and provides an excellent grounding for further study at A Level . The online textbook license can be accessed on a wide range of devices and 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.

Power Maths is a leading primary maths mastery scheme that offers perfect alignment with the popular White Rose Maths Scheme of Learning. Written by a team of experts, led by Series Editor, Tony Staneff of White Rose Maths. For children who are following either the Power Maths or White Rose scheme, the textbooks provide lesson-by-lesson guidance throughout the curriculum. The textbooks include: Engaging contexts for problem solving help children to discover patterns and concepts for themselves in a meaningful way. Clear mathematical structures and representations ensure children make connections and grasp concepts. Lovable characters prompt and question children to promote reasoning skills and help to build a growth mindset.

We are working with Cambridge International to gain endorsement for this forthcoming title. Written by expert authors with an international focus, this book fully covers the Cambridge O Level Mathematics syllabus (4024/4029) for examination from 2025. It enables learners to effectively master and find connections between mathematical topics and their practical applications. - Chapters and topics are introduced through clear explanations and notes on prior knowledge needed, with worked examples that are accessible for students studying in a second language. - Key points at the end of each chapter provide opportunity for reflection to ensure that understanding and skills have been developed before students move on. - Formative exercises support active, engaged learning throughout, and aid retention of knowledge with questions that progress in difficulty to test understanding at all levels. - Regular review exercises, including past paper questions, consolidate learning and help students to prepare for assessment. - 'Non-calculator' questions are clearly flagged so students can feel confident when approaching this type of question in their final summative assessment. - Answers, including worked solutions for review exercises, are available free on www.hoddereducation.com/cambridgeextras

Level: EYFS Subject: Maths Introduce young learners to numbers with this fun and engaging activity book. Lots of practice opportunities to help children learn the numbers 0-20. Wipe-clean pages and pen so that children can try the activities again and again. Colourful, motivating activities to help boost confidence.

180 Days of Math is an effective workbook designed to help students improve their math skills. This easy-to-use fourth 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. Each daily practice page includes 10 math problems covering algebraic thinking, fractions, multiplication, division, measurement and data, and geometry. Watch as student s math confidence grows 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.

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 sixth 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.

Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents.

This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice).

This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.

A stimulating and rigorous approach to Mathematics that goes beyond the requirements of the National Curriculum for Year 5 pupils (aged 9 and above) and lays the foundation for success at Common Entrance and other independent entrance exams at 11+. - Plenty of worked examples to demonstrate method - Develops key skills with clear explanations and diagrams - Challenges pupils with exercises at various levels - Tests understanding with end-of-chapter activities Galore Park Mathematics Year 5 Answers is available to purchase, which includes photocopiable worksheets for selected exercises and activities. Also available from Galore Park www.galorepark.co.uk: - Mathematics Year 6 - 11+ Maths Practice Exercises - 11+ Maths Revision Guide - 10-Minute Maths Tests Workbook Age 8-10 - 10-Minute Maths Tests Workbook Age 9-11 - Mental Arithmetic Workbook Age 8-10 - Mental Arithmetic Workbook Age 9-11

How tall would a pile of 1000 acorns be? And if those acorns grew into 1000 oak trees, how big would that forest be? As children learn about large numbers, counting becomes less practical and understanding these numbers becomes more and more important. In this playful and mathematically sound book, children will develop an understanding of how big, how small, how long and how tall 1000 really is!