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.

Scottish Heinemann Maths is written specifically for Scotland to help implement the recommendations from Improving Mathematics Education 5-14. It provides: an increased pace of progression; end of level assessment; oral and mental calculation; integral homework; and support for planning.

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.

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. 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.

Die rol van 'n onderwyser is fundamenteel tot die verwerwing van die nodige wiskundige vaardighede en kennis wat deel uitmaak van die kind se vroee en verdere ontwikkeling. Vanaf die jaar voor toetrede tot formele skoolopleiding (Graad R) tot die einde van die Grondslagfase (Graad 3), dra onderwysers by tot die belangrikste leersiklus en le hulle leerders se grondslag vir die res van hul skoolloopbaan. Wiskunde-onderrig in die Grondslagfase bied kritieke insig tot die basiese beginsels wat internasionaal sowel as nasionaal toegepas word, met 'n indiepte-bespreking van die onderliggende konsepte en teoriee aangaande wiskunde-onderrig aan jong leerders. Die konsepte afrikanisering van die kurrikulum en etnowiskunde word ook bespreek. Die temas wat in die boek aangespreek word, is gebaseer op die KABV-dokumente wat deur die Departement van Basiese Onderwys in 2012 uitgereik is en omsluit die fisiese, sosiale en konseptuele kennis wat leerders moet verwerf en op voortbou om sodoende hul wiskundige vaardighede vir die toekoms te ontwikkel. Wiskunde-onderrig in die Grondslagfase is 'n onontbeerlike handleiding vir beginneronderwysers en studente vir die inrig van hul klaskamers, die beplanning van lesse vir die suksesvolle verkryging van wiskunde kennis en vaardighede, asook om wiskunde met selfvertroue te onderrig. Hierdie boek sal ook aan ouers toon wat van hulle kinders in die wiskunde klas verwag word.

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.

This book contains three full sets of practice papers for Key Stage 3 Maths - ideal preparation for the in-school tests that most pupils take at the end of Year 9 (age 14). There are two hour-long test papers in each set - one where students are allowed to use a calculator, and one where they aren't. Detailed answers and a full mark scheme are included for every test, so it's easy for students to check their progress and learn from any mistakes. (Please note: these tests are best suited to KS3 students working at Levels 5-8. CGP Practice Tests for Levels 3-6 are also available - see 9781841460437.)

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.

Learn with the PAW Patrol pups! Help your little learner get ready to go, go, go with this colourful PAW Patrol activity book. Children are introduced to first counting alongside their loveable and playful PAW Patrol friends. Children can practise counting from 1-20, use numbers in a sequence, and learn basic addition and subtraction alongside the PAW Patrol characters Look out for the badge awarded at the end of the book Ideal for pre-schoolers getting ready for school Children will be on a roll in no time!

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.

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.

Math educator Kate Snow gives parents the tools they need to teach Math with Confidence. This scripted, open-and-go program leads parents step-by-step through teaching all the concepts second-graders need to master: reading, writing, and comparing numbers to 1000 adding and subtracting two- and three-digit numbers solving addition and subtraction word problems telling time, counting money, measuring length reading graphs, identifying shapes, and understanding simple fractions Short, lively lessons will hold a child's attention by incorporating hands-on activities, games, and real-life situations. Straightforward, colorful worksheets give students practice with new concepts and review previously-learned material. Snow makes math fun by including optional enrichment lessons, with suggestions for wonderful math picture books to enjoy together and application activities to make math come alive. Beyond just telling parents what to do, Second Grade Math with Confidence also helps them understand why the lessons are designed the way they are, giving them the knowledge and confidence to help their children learn. Using Second Grade Math with Confidence will allow parents to build a strong math foundation for their children. Age Range: 7 to 8 Grade: Second Grade

Spectrum(R) Word Problems for grade 5, includes focused practice for essential math skills. Skills include: *Real world applications *Multi-step word problems *Fractions and decimals *Metric and customary measurement *Graphs and probability *Geometry *Preparing for algebra --Spectrum(R) Word Problems workbooks supplement classroom work and proficiency test preparation. The workbooks provide examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems. It features practice with word problems that are an essential part of the Common Core State Standards, making it a perfect supplement at home or school.

We are working with Cambridge International to gain endorsement for this forthcoming title. Confidently deliver and ensure full coverage of the core content of the latest Cambridge IGCSE (TM) Mathematics syllabuses (0580/0980) using a tried-and-tested approach to improve mathematical skills with an emphasis on problem solving and interrogating findings in new topics. - Trust an experienced team of authors offering advice on how to put theory into practice with plenty of exercises, worked examples and solutions with scaffolding for the appropriate levels - Encourage full understanding of mathematical principles with commentaries and additional explanations - Develop problem-solving skills with guidance on techniques to help complete open-ended investigations and justify reasoning for solutions - Check understanding with end of chapter student assessments to consolidate learning and test skills

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

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

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.

Highly motivating differentiated Student Books develop confidence, fluency and problem-solving, supporting progression: *Full ability range: Pi (Tier 1), Theta (Tier 2) and Delta (Tier 3)* Unit structure based on mastery lessons, formative test, consolidation and extension lessons and a summative unit test* Reflection (metacognition) is explicitly encouraged to build perseverance and confidence* STEM and Finance lessons highlight these important links to using maths in real life* Reasoning and Problem-solving are nurtured in preparation for progressing to GCSE If you're an institution you can get the answers for this book as a free download.If you are a parent or tutor please contact customer services at [email protected] who will send you the download directly.