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Underpinned by the most effective teaching practices, and created by a team of mastery experts led by Series Editor Tony Staneff, Power Maths is designed to make the whole-class mastery teaching approach work for you, your children and your school. The Practice Books provide just the right amount of intelligent practice for children to complete independently in the final section of the lesson. The practice questions are for everyone - each question varies one small element to move children on in their thinking. All practice questions are carefully developed to reveal misconceptions. 'Reflect' questions help children to reason and show how deep their understanding is before moving on. Power Maths characters encourage and challenge children to develop growth mindsets and work flexibly. Calculations are connected so that children think about the underlying concept.
Underpinned by the most effective teaching practices, and created by a team of mastery experts led by Series Editor Tony Staneff, Power Maths is designed to make the whole-class mastery teaching approach work for you, your children and your school. The powerful lesson structure of Power Maths comes to life through the high-quality textbooks. They provide a coherent structure through the curriculum and support children on their journey to deeper understanding. The textbooks set out the core learning objectives for the whole class. 'Discover', 'Share' and 'Think Together' sections help promote discussion and ensure mathematical ideas are introduced to children in a logical way to support conceptual understanding. Engaging contexts for problem solving help children to discover patterns and concepts for themselves in a meaningful way. Clear mathematical structures and representations (using the Concrete-Pictorial-Abstract approach) ensure children make connections and grasp concepts. Lovable characters prompt and question children to promote reasoning skills and help to build a growth mindset.
Underpinned by the most effective teaching practices, and created by a team of mastery experts led by Series Editor Tony Staneff, Power Maths is designed to make the whole-class mastery teaching approach work for you, your children and your school. The Practice Books provide just the right amount of intelligent practice for children to complete independently in the final section of the lesson. The practice questions are for everyone - each question varies one small element to move children on in their thinking. All practice questions are carefully developed to reveal misconceptions. 'Reflect' questions help children to reason and show how deep their understanding is before moving on. Power Maths characters encourage and challenge children to develop growth mindsets and work flexibly. Calculations are connected so that children think about the underlying concept.
Underpinned by the most effective teaching practices, and created by a team of mastery experts led by Series Editor Tony Staneff, Power Maths is designed to make the whole-class mastery teaching approach work for you, your children and your school. The Practice Books provide just the right amount of intelligent practice for children to complete independently in the final section of the lesson. The practice questions are for everyone - each question varies one small element to move children on in their thinking. All practice questions are carefully developed to reveal misconceptions. 'Reflect' questions help children to reason and show how deep their understanding is before moving on. Power Maths characters encourage and challenge children to develop growth mindsets and work flexibly. Calculations are connected so that children think about the underlying concept.
New 2017 Cambridge A Level Maths and Further Maths resources help students with learning and revision. Written for the OCR AS/A Level Mathematics specifications for first teaching from 2017, this print Student Book covers the content for AS and the first year of A Level. It balances accessible exposition with a wealth of worked examples, exercises and opportunities to test and consolidate learning, providing a clear and structured pathway for progressing through the course. It is underpinned by a strong pedagogical approach, with an emphasis on skills development and the synoptic nature of the course. Includes answers to aid independent study.
New 2017 Cambridge A Level Maths and Further Maths resources to help students with learning and revision. Written for the AQA AS/A Level Further Mathematics specifications for first teaching from 2017, this print Student Book covers the compulsory content for AS and the first year of A Level. It balances accessible exposition with a wealth of worked examples, exercises and opportunities to test and consolidate learning, providing a clear and structured pathway for progressing through the course. It is underpinned by a strong pedagogical approach, with an emphasis on skills development and the synoptic nature of the course. Includes answers to aid independent study. This book has entered an AQA approval process.
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.
Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.