The whole-class mastery approach that works for every child. 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.

The whole-class mastery approach that works for every child. 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.

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

The whole-class mastery approach that works for every child. 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.

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.

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.