Author: Luke Robinson
Publisher:
ISBN: 9781780730226
Category : Advanced supplementary examinations
Languages : en
Pages : 200
Book Description
This resource has been specifically commissioned to cover the current AS mathematics specification from CCEA. The book covers units C1 and C2.
Mathematics for CCEA AS Level
Author: Luke Robinson
Publisher:
ISBN: 9781780730226
Category : Advanced supplementary examinations
Languages : en
Pages : 200
Book Description
This resource has been specifically commissioned to cover the current AS mathematics specification from CCEA. The book covers units C1 and C2.
Publisher:
ISBN: 9781780730226
Category : Advanced supplementary examinations
Languages : en
Pages : 200
Book Description
This resource has been specifically commissioned to cover the current AS mathematics specification from CCEA. The book covers units C1 and C2.
Pure Mathematics for CCEA AS Level
Author: Luke Robinson
Publisher:
ISBN: 9781780732466
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9781780732466
Category :
Languages : en
Pages :
Book Description
Key Maths GCSE
Author:
Publisher: Nelson Thornes
ISBN: 0748774556
Category : Mathematics
Languages : en
Pages : 588
Book Description
Developed for the CCEA Specification, this Teacher File contains detailed support and guidance on advanced planning, points of emphasis, key words, notes for the non-specialist, useful supplementary ideas and homework sheets.
Publisher: Nelson Thornes
ISBN: 0748774556
Category : Mathematics
Languages : en
Pages : 588
Book Description
Developed for the CCEA Specification, this Teacher File contains detailed support and guidance on advanced planning, points of emphasis, key words, notes for the non-specialist, useful supplementary ideas and homework sheets.
Further Mathematics for CCEA GCSE Level
Author: Neill Hamilton
Publisher:
ISBN: 9781780731919
Category : Mathematics
Languages : en
Pages : 220
Book Description
Publisher:
ISBN: 9781780731919
Category : Mathematics
Languages : en
Pages : 220
Book Description
Teaching Mathematics
Author: Paul Chambers
Publisher: SAGE
ISBN: 1446245403
Category : Education
Languages : en
Pages : 266
Book Description
Reflective practice is at the heart of effective teaching, and this book helps you develop into a reflective teacher of mathematics. Everything you need is here: guidance on developing your analysis and self-evaluation skills, the knowledge of what you are trying to achieve and why, and examples of how experienced teachers deliver successful lessons. The book shows you how to plan lessons, how to make good use of resources and how to assess pupils' progress effectively. Each chapter contains points for reflection, which encourage you to break off from your reading and think about the challenging questions that you face as a new teacher. The book is supplemented by a companion website, with: " Videos of real lessons so you can see the skills discussed in the text in action " Links to a range of sites that provide useful additional support " Extra planning and resource materials. If you are training to teach mathematics this book will help you to improve your classroom performance, by providing you with practical advice, but also by helping you to think in depth about the key issues. It also provides examples of the research evidence that is needed in academic work at Masters level, essential for anyone undertaking an M-level PGCE. Paul Chambers was formerly course leader for PGCE mathematics at Edge Hill University.
Publisher: SAGE
ISBN: 1446245403
Category : Education
Languages : en
Pages : 266
Book Description
Reflective practice is at the heart of effective teaching, and this book helps you develop into a reflective teacher of mathematics. Everything you need is here: guidance on developing your analysis and self-evaluation skills, the knowledge of what you are trying to achieve and why, and examples of how experienced teachers deliver successful lessons. The book shows you how to plan lessons, how to make good use of resources and how to assess pupils' progress effectively. Each chapter contains points for reflection, which encourage you to break off from your reading and think about the challenging questions that you face as a new teacher. The book is supplemented by a companion website, with: " Videos of real lessons so you can see the skills discussed in the text in action " Links to a range of sites that provide useful additional support " Extra planning and resource materials. If you are training to teach mathematics this book will help you to improve your classroom performance, by providing you with practical advice, but also by helping you to think in depth about the key issues. It also provides examples of the research evidence that is needed in academic work at Masters level, essential for anyone undertaking an M-level PGCE. Paul Chambers was formerly course leader for PGCE mathematics at Edge Hill University.
DIGITAL TECHNOLOGY FOR CCEA AS LEVEL.
Author: MARTIN. MCKINNEY
Publisher:
ISBN: 9781780731162
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9781780731162
Category :
Languages : en
Pages :
Book Description
Proofs and Fundamentals
Author: Ethan D. Bloch
Publisher: Springer Science & Business Media
ISBN: 1441971270
Category : Mathematics
Languages : en
Pages : 378
Book Description
“Proofs and Fundamentals: A First Course in Abstract Mathematics” 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations of set theory has been added at the end of the chapter about sets. This section includes a very informal discussion of the Zermelo– Fraenkel Axioms for set theory. We do not make use of these axioms subsequently in the text, but it is valuable for any mathematician to be aware that an axiomatic basis for set theory exists. Also included in this new section is a slightly expanded discussion of the Axiom of Choice, and new discussion of Zorn's Lemma, which is used later in the text. 2) The chapter about the cardinality of sets has been rearranged and expanded. There is a new section at the start of the chapter that summarizes various properties of the set of natural numbers; these properties play important roles subsequently in the chapter. The sections on induction and recursion have been slightly expanded, and have been relocated to an earlier place in the chapter (following the new section), both because they are more concrete than the material found in the other sections of the chapter, and because ideas from the sections on induction and recursion are used in the other sections. Next comes the section on the cardinality of sets (which was originally the first section of the chapter); this section gained proofs of the Schroeder–Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets. The chapter concludes with the section on the cardinality of the number systems. 3) The chapter on the construction of the natural numbers, integers and rational numbers from the Peano Postulates was removed entirely. That material was originally included to provide the needed background about the number systems, particularly for the discussion of the cardinality of sets, but it was always somewhat out of place given the level and scope of this text. The background material about the natural numbers needed for the cardinality of sets has now been summarized in a new section at the start of that chapter, making the chapter both self-contained and more accessible than it previously was. 4) The section on families of sets has been thoroughly revised, with the focus being on families of sets in general, not necessarily thought of as indexed. 5) A new section about the convergence of sequences has been added to the chapter on selected topics. This new section, which treats a topic from real analysis, adds some diversity to the chapter, which had hitherto contained selected topics of only an algebraic or combinatorial nature. 6) A new section called ``You Are the Professor'' has been added to the end of the last chapter. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the opportunity to solidify her facility for writing proofs by critiquing these submissions as if she were the instructor for the course. 7) All known errors have been corrected. 8) Many minor adjustments of wording have been made throughout the text, with the hope of improving the exposition.
Publisher: Springer Science & Business Media
ISBN: 1441971270
Category : Mathematics
Languages : en
Pages : 378
Book Description
“Proofs and Fundamentals: A First Course in Abstract Mathematics” 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations of set theory has been added at the end of the chapter about sets. This section includes a very informal discussion of the Zermelo– Fraenkel Axioms for set theory. We do not make use of these axioms subsequently in the text, but it is valuable for any mathematician to be aware that an axiomatic basis for set theory exists. Also included in this new section is a slightly expanded discussion of the Axiom of Choice, and new discussion of Zorn's Lemma, which is used later in the text. 2) The chapter about the cardinality of sets has been rearranged and expanded. There is a new section at the start of the chapter that summarizes various properties of the set of natural numbers; these properties play important roles subsequently in the chapter. The sections on induction and recursion have been slightly expanded, and have been relocated to an earlier place in the chapter (following the new section), both because they are more concrete than the material found in the other sections of the chapter, and because ideas from the sections on induction and recursion are used in the other sections. Next comes the section on the cardinality of sets (which was originally the first section of the chapter); this section gained proofs of the Schroeder–Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets. The chapter concludes with the section on the cardinality of the number systems. 3) The chapter on the construction of the natural numbers, integers and rational numbers from the Peano Postulates was removed entirely. That material was originally included to provide the needed background about the number systems, particularly for the discussion of the cardinality of sets, but it was always somewhat out of place given the level and scope of this text. The background material about the natural numbers needed for the cardinality of sets has now been summarized in a new section at the start of that chapter, making the chapter both self-contained and more accessible than it previously was. 4) The section on families of sets has been thoroughly revised, with the focus being on families of sets in general, not necessarily thought of as indexed. 5) A new section about the convergence of sequences has been added to the chapter on selected topics. This new section, which treats a topic from real analysis, adds some diversity to the chapter, which had hitherto contained selected topics of only an algebraic or combinatorial nature. 6) A new section called ``You Are the Professor'' has been added to the end of the last chapter. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the opportunity to solidify her facility for writing proofs by critiquing these submissions as if she were the instructor for the course. 7) All known errors have been corrected. 8) Many minor adjustments of wording have been made throughout the text, with the hope of improving the exposition.
AQA Extended Project Qualification (EPQ)
Author: Christine Andrews
Publisher: Philip Allan
ISBN: 1510442952
Category : Study Aids
Languages : en
Pages : 250
Book Description
Working independently does not mean going it alone: be guided through the Extended Project from start to finish and every stage in between. Written by Christine Andrews, who has extensive experience of EPQs, this step-by-step course companion will help you to: - Tackle every stage, including choosing a topic and planning your time, developing your project and keeping a log, and delivering the presentation and evaluating your finished product. - Make the most of opportunities to practise the skills required, with activities you can adapt as necessary. - Get inspired with a wealth of examples from different types of projects. - Develop effective strategies to avoid common pitfalls. - Create a project you can be proud of - one you can use in your personal statement, to make your university application stand out. Also available are PowerPoint presentations and a scheme of work put together by the author to facilitate the 30 hours of taught content. The presentation and scheme of work are not part of the AQA approval process.
Publisher: Philip Allan
ISBN: 1510442952
Category : Study Aids
Languages : en
Pages : 250
Book Description
Working independently does not mean going it alone: be guided through the Extended Project from start to finish and every stage in between. Written by Christine Andrews, who has extensive experience of EPQs, this step-by-step course companion will help you to: - Tackle every stage, including choosing a topic and planning your time, developing your project and keeping a log, and delivering the presentation and evaluating your finished product. - Make the most of opportunities to practise the skills required, with activities you can adapt as necessary. - Get inspired with a wealth of examples from different types of projects. - Develop effective strategies to avoid common pitfalls. - Create a project you can be proud of - one you can use in your personal statement, to make your university application stand out. Also available are PowerPoint presentations and a scheme of work put together by the author to facilitate the 30 hours of taught content. The presentation and scheme of work are not part of the AQA approval process.
Mathematics Today
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 456
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 456
Book Description
Mathematics
Author: Peter Sherran
Publisher: Letts and Lonsdale
ISBN: 9781843154679
Category : Juvenile Nonfiction
Languages : en
Pages : 164
Book Description
Revise A2 Maths gives complete study support throughout the year. This Study Guide matches the curriculum content and provides in-depth course coverage plus invaluable advice on how to get the best results in the A2 exam.
Publisher: Letts and Lonsdale
ISBN: 9781843154679
Category : Juvenile Nonfiction
Languages : en
Pages : 164
Book Description
Revise A2 Maths gives complete study support throughout the year. This Study Guide matches the curriculum content and provides in-depth course coverage plus invaluable advice on how to get the best results in the A2 exam.