Discovering Mathematics is adapted from the leading Singapore course to fully match the English Key Stage 3 National Curriculum. This groundbreaking series harnesses authentic mastery principles through a Concrete-Pictorial-Abstract (CPA) approach, and use of precise mathematical language. Students learn by discovery, an approach pioneered by this course. Written by an experienced UK/Singapore team, this engaging book provides progression and practice forHigher tier students in Year 9.Topics are introduced through inclusive whole-class activities. Worked examples give clear steps of how to present solutions, with hints and discussion points toencourage paired, group and whole-class working. Practice exercises are differentiated into three levels, progressing from basic fluency to application to problem solving, with consolidation through end-of-chapter exercises. Short answers in the back of the book help students quickly check their understanding, with fully-worked solutions containing GCSE grades in the Teacher Guide. Exercises incorporate 'intelligent practice', with careful variation of the numbers to reinforce and deepenlearning. Problem-solving skills are identified throughout, with two dedicated problem-solving sections to support skills development. Students are also encouraged to reflect upon and embed their learningthrough a Write in Your Journal in every chapter. This Student Book will help students discover the underlying principles of mathematics and set them on the road to mastery.

MyMaths for Key Stage 3 is the brand new course that works with MyMaths to deliver the new curriculum. This student book is for higher ability students nearing the end of KS3. Its unique emphasis on visible progression and visual engagement, along with direct links to the MyMaths site, all help to bring maths alive for your higher-level students.

Discovering Mathematics is adapted from the leading Singapore course to fully match the English Key Stage 3 National Curriculum. This groundbreaking series harnesses authentic mastery principles through a Concrete-Pictorial-Abstract (CPA) approach, and use of precise mathematical language. Students learn by discovery, an approach pioneered by this course. Written by an experienced UK/Singapore team, this engaging book provides progression and practice forFoundation tier students in Year 9.Topics are introduced through inclusive whole-class activities. Worked examples give clear steps of how to present solutions, with hints and discussion points toencourage paired, group and whole-class working. Practice exercises are differentiated into two levels, progressing from basic fluency to problem solving, with consolidation through end-of-chapter exercises. Short answers are in the back of the book to help students quickly check their understanding, with fully-worked solutions containing GCSE grades in the Teacher Guide. Exercises incorporate 'intelligent practice', with careful variation of the numbers to reinforce and deepen learning.Problem-solving skills are identified throughout, with two dedicated problem-solving sections to support skills development. Students are also encouraged to reflect upon and embed their learning through aWrite in Your Journal in every chapter. This Student Book will help students discover the underlying principles of mathematics and set them on the road to mastery.

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.

MyMaths for Key Stage 3 is a brand new course that works with MyMaths to fully deliver the new curriculum. This student book is for higher ability students embarking on KS3. Its unique emphasis on visible progression and visual engagement, along with direct links to the MyMaths site, all help to bring maths alive for your higher-level students.

The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.

Aufmann's DISCOVERING MATHEMATICS: A QUANTITATIVE REASONING APPROACH with WebAssign is designed for today's Quantitative Reasoning course. Focusing on topics relevant to students' lives and developing critical-thinking skills they can apply beyond the course, this text provides students with exactly what they need in an approachable, engaging and streamlined format. Flexible for all teaching models--from lecture, hybrid or fully online to flipped and active-learning environments--DISCOVERING MATHEMATICS: A QUANTITATIVE REASONING APPROACH will empower you to accomplish all your course objectives.