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Cambridge Primary Ready to Go Lessons for Maths Stage 5 (PDF)

Save planning and preparation time with this flexible, ready-to-run bank of lessons that will develop the curriculum within your school. This bank of easy-to-use lesson plans is written by experienced teachers and examiners to support the revised Cambridge Primary curriculum framework. The lessons are based on the units of the schemes of work and model the teaching approaches in the Cambridge Primary Teacher Guides. They can be used to supplement an existing scheme or as a stand-alone resource.

Cambridge Primary Ready to Go Lessons for Maths Stage 6 (PDF)

Save planning and preparation time with this flexible, ready-to-run bank of lessons that will develop the curriculum within your school. This bank of easy-to-use lesson plans is written by experienced teachers and examiners to support the revised Cambridge Primary curriculum framework. The lessons are based on the units of the schemes of work and model the teaching approaches in the Cambridge Primary Teacher Guides. They can be used to supplement an existing scheme or as a stand-alone resource.

Cambridge Primary Revise for Cambridge Primary Checkpoint: Maths Study Guide (PDF)

Boost learner confidence ahead of the Cambridge Primary Checkpoint tests with invaluable support and practical, ready-to-use revision activities. This Study Guide supports revision in preparation for the Cambridge Primary Checkpoint test at the end of Stage 6. It contains revision activities for all the strands of the Cambridge Primary Maths curriculum: Number, Geometry, Measure and Handling data, with opportunities for Problem solving embedded throughout. It can be used independently for homework or additional practice, or alongside the Teacher's Guide in the classroom.

Cambridge Primary Revise for Primary Checkpoint Mathematics Study Guide 2nd edition

Build, reinforce and assess knowledge with additional practice and revision activities.Cambridge Primary Revise for Mathematics covers the strands of the Cambridge Primary Mathematics curriculum framework: Number, Geometry and Measure, Statistics and Probability, with opportunities for Thinking and Working Mathematically embedded throughout.· - Boost confidence and check students' progress with review tests and practice questions. · - Improve technique with a range of engaging activities, worked examples and a list of key vocabulary. · - Consolidate knowledge with key content presented in a manageable and focussed format. · - Reinforce Thinking and Working Mathematically with activities and questions involving reasoning and problem-solving, with a focus on the key characteristics: specialising and generalising, conjecturing and convincing, characterising and classifying and critiquing and improving.Cambridge Primary Revise for Mathematics can be used independently for homework or additional practice, or alongside the Teacher's Guide in the classroom.

Cambridge Primary Revise for Primary Checkpoint Mathematics Teacher's Handbook 2nd edition

Focus revision where learners need most support and ensure coverage of the Cambridge Primary Mathematics curriculum framework with easy-to-follow teaching notes.- Assess knowledge and progress with structured practice tests and whole-class activities.-Improve understanding and technique with photocopiable resources such as model texts, practice questions and games.- Introduce strategies for supporting recall and revision with further ideas to stretch learners and marking guidance.This resource has not been through the Cambridge International endorsement process.

The Cambridge Social History of Modern Ireland (PDF)

Covering three centuries of unprecedented demographic and economic changes, this textbook is an authoritative and comprehensive view of the shaping of Irish society, at home and abroad, from the famine of 1740 to the present day. The first major work on the history of modern Ireland to adopt a social history perspective, it focuses on the experiences and agency of Irish men, women and children, Catholics and Protestants, and in the North, South and the diaspora. An international team of leading scholars survey key changes in population, the economy, occupations, property ownership, class and migration, and also consider the interaction of the individual and the state through welfare, education, crime and policing. Drawing on a wide range of disciplinary approaches and consistently setting Irish developments in a wider European and global context, this is an invaluable resource for courses on modern Irish history and Irish studies.

Cambridge Summer School in Mathematical Logic: Held in Cambridge /U. K., August 1-21, 1971 (Lecture Notes in Mathematics #337)

Campionamento da popolazioni finite: Il disegno campionario (UNITEXT)

Si tratta di un'opera introduttiva al campionamento da popolazioni finite. Si ritiene che un'opera su questo argomento sia adatta alle lauree triennali, ma contiene anche una parte di materiale avanzato da utilizzare per lauree specialistiche. L'opera è ricca di esempi, ed è accessibile anche a chi abbia seguito un corso elementare di statistica e probabilità, del tipo di quelli impartiti in lauree triennali di economia. Il volume è adatto non solo a studenti di corsi di laurea in statistica, ma anche a studenti di altre facoltà che vogliano usare i metodi di campionamento con taglio elementare e applicativo senza rinunciare ad un modicum di teoria.

Can Fish Count?: What Animals Reveal about our Uniquely Mathematical Mind

'What I like best about this fascinating book is the detail. Brian Butterworth doesn't just tell us stories of animals with numerical abilities: he tells us about the underlying science. Elegantly written and a joy to read' Professor Ian Stewart, author of What's the Use? and Taming the InfiniteThe Hidden Genius of Animals: Every pet owner thinks their own dog, cat, fish or hamster is a genius. What makes CAN FISH COUNT? so exciting is the way it unveils just how widespread intelligence is in nature. Pioneering psychologist Brian Butterworth describes the extraordinary numerical feats of all manner of species ranging from primates and mammals to birds, reptiles, fish and insects. Whether it's lions deciding to fight or flee, frogs competing for mates, bees navigating their way to food sources, fish assessing which shoal to join, or jackdaws counting friends when joining a mob - every species shares an ability to count.Homo Sapiens may think maths is our exclusive domain, but this book shows that every creature shares a deep-seated Darwinian ability to understand the intrinsic language of our universe: mathematics CAN FISH COUNT? is that special sort of science book - a global authority in his field writing an anecdotally-rich and revelatory narrative which changes the way you perceive something we take for granted.

Can Mathematics Be Proved Consistent?: Gödel's Shorthand Notes & Lectures on Incompleteness (Sources and Studies in the History of Mathematics and Physical Sciences)

Kurt Gödel (1906–1978) shook the mathematical world in 1931 by a result that has become an icon of 20th century science: The search for rigour in proving mathematical theorems had led to the formalization of mathematical proofs, to the extent that such proving could be reduced to the application of a few mechanical rules. Gödel showed that whenever the part of mathematics under formalization contains elementary arithmetic, there will be arithmetical statements that should be formally provable but aren’t. The result is known as Gödel’s first incompleteness theorem, so called because there is a second incompleteness result, embodied in his answer to the question "Can mathematics be proved consistent?"This book offers the first examination of Gödel’s preserved notebooks from 1930, written in a long-forgotten German shorthand, that show his way to the results: his first ideas, how they evolved, and how the jewel-like final presentation in his famous publication On formally undecidable propositions was composed.The book also contains the original version of Gödel’s incompleteness article, as handed in for publication with no mentioning of the second incompleteness theorem, as well as six contemporary lectures and seminars Gödel gave between 1931 and 1934 in Austria, Germany, and the United States. The lectures are masterpieces of accessible presentations of deep scientific results, readable even for those without special mathematical training, and published here for the first time.

Can You Count in Greek?: Exploring Ancient Number Systems (Grades 5-8)

Discovering the way people in ancient cultures conducted their lives is fascinating for young people, and learning how these people counted and calculated is a part of understanding these cultures. This book offers a concise, but thorough, introduction to ancient number systems. Students won't just learn to count like the ancient Greeks; they'll learn about the number systems of the Mayans, Babylonians, Egyptians, and Romans, as well as learning Hindu-Arabic cultures and quinary and binary systems. Symbols and rules regarding the use of the symbols in each number system are introduced and demonstrated with examples. Activity pages provide problems for the students to apply their understanding of each system. Can You Count in Greek? is a great resource for math, as well as a supplement for social studies units on ancient civilizations. This valuable resource builds understanding of place value, number theory, and reasoning. It includes everything you need to easily incorporate these units in math or social studies classes. Whether you use all of the units or a select few, your students will gain a better understanding and appreciation of our number system.Grades 5-8

Can You Count in Greek?: Exploring Ancient Number Systems (Grades 5-8)

Discovering the way people in ancient cultures conducted their lives is fascinating for young people, and learning how these people counted and calculated is a part of understanding these cultures. This book offers a concise, but thorough, introduction to ancient number systems. Students won't just learn to count like the ancient Greeks; they'll learn about the number systems of the Mayans, Babylonians, Egyptians, and Romans, as well as learning Hindu-Arabic cultures and quinary and binary systems. Symbols and rules regarding the use of the symbols in each number system are introduced and demonstrated with examples. Activity pages provide problems for the students to apply their understanding of each system. Can You Count in Greek? is a great resource for math, as well as a supplement for social studies units on ancient civilizations. This valuable resource builds understanding of place value, number theory, and reasoning. It includes everything you need to easily incorporate these units in math or social studies classes. Whether you use all of the units or a select few, your students will gain a better understanding and appreciation of our number system.Grades 5-8

Can You Solve My Problems?: A casebook of ingenious, perplexing and totally satisfying puzzles

Are you smarter than a Singaporean ten-year-old?Can you beat Sherlock Holmes?If you think the answer is yes - I challenge you to solve my problems.Here are 125 of the world's best brainteasers from the last two millennia, taking us from ancient China to medieval Europe, Victorian England to modern-day Japan, with stories of espionage, mathematical breakthroughs and puzzling rivalries along the way.Pit your wits against logic puzzles and kinship riddles, pangrams and river-crossing conundrums. Some solutions rely on a touch of cunning, others call for creativity, others need mercilessly logical thought. Some can only be solved be 2 per cent of the population. All are guaranteed to sharpen your mind. Let's get puzzling!

Canard Cycles: From Birth to Transition (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics #73)

This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations. The canard cycles are treated in the general context of slow-fast families of two-dimensional vector fields. The central question of controlling the limit cycles is addressed in detail and strong results are presented with complete proofs.In particular, the book provides a detailed study of the structure of the transitions near the critical set of non-isolated singularities. This leads to precise results on the limit cycles and their bifurcations, including the so-called canard phenomenon and canard explosion. The book also provides a solid basis for the use of asymptotic techniques. It gives a clear understanding of notions like inner and outer solutions, describing their relation and precise structure.The first part of the book provides a thorough introduction to slow-fast systems, suitable for graduate students. The second and third parts will be of interest to both pure mathematicians working on theoretical questions such as Hilbert's 16th problem, as well as to a wide range of applied mathematicians looking for a detailed understanding of two-scale models found in electrical circuits, population dynamics, ecological models, cellular (FitzHugh–Nagumo) models, epidemiological models, chemical reactions, mechanical oscillators with friction, climate models, and many other models with tipping points.

Cancer Clinical Trials: Current and Controversial Issues in Design and Analysis (Chapman & Hall/CRC Biostatistics Series)

Cancer Clinical Trials: Current and Controversial Issues in Design and Analysis provides statisticians with an understanding of the critical challenges currently encountered in oncology trials. Well-known statisticians from academic institutions, regulatory and government agencies (such as the U.S. FDA and National Cancer Institute), and the pharmaceutical industry share their extensive experiences in cancer clinical trials and present examples taken from actual trials. The book covers topics that are often perplexing and sometimes controversial in cancer clinical trials. Most of the issues addressed are also important for clinical trials in other settings. After discussing general topics, the book focuses on aspects of early and late phase clinical trials. It also explores personalized medicine, including biomarker-based clinical trials, adaptive clinical trial designs, and dynamic treatment regimes.

Cancer Clinical Trials: Current and Controversial Issues in Design and Analysis (Chapman & Hall/CRC Biostatistics Series #91)

Cancer Clinical Trials: Current and Controversial Issues in Design and Analysis provides statisticians with an understanding of the critical challenges currently encountered in oncology trials. Well-known statisticians from academic institutions, regulatory and government agencies (such as the U.S. FDA and National Cancer Institute), and the pharmaceutical industry share their extensive experiences in cancer clinical trials and present examples taken from actual trials. The book covers topics that are often perplexing and sometimes controversial in cancer clinical trials. Most of the issues addressed are also important for clinical trials in other settings. After discussing general topics, the book focuses on aspects of early and late phase clinical trials. It also explores personalized medicine, including biomarker-based clinical trials, adaptive clinical trial designs, and dynamic treatment regimes.

Cancer Clinical Trials: A Critical Appraisal (Recent Results in Cancer Research #111)

The controlled clinical trial has become an essential part of the clinician's decision-making process. Clinical trials, however, still raise methodological problems that are important and at the same time controversial: subgroup analysis and interactions, meta-analy­ sis of similar trials, consideration of subjective clinical opinions and those of the public at large, assessment of quality of life, pre­ vention trials, and so on. In February 1987 we took our third step along the road to evaluating these issues in dialogues between cli­ nicians, psychologists, legal experts, and statisticians. The talks presented at the meeting were revised by the authors afterwards and have been rearranged by the editors to form a strictly organ­ 1 2 ized book. The two preceding meetings in 1978 and 1981 focused strongly on adjuvant therapy in primary breast cancer, but this top­ ic served merely as a nucleus in the third meeting. This meeting, although called the Third Heidelberg Symposium was forced to leave Heidelberg and in fact was held in Freiburg. Without the interest and enthusiasm of Professor Martin Schu­ macher and his colleagues in Freiburg the meeting would never have taken place. The meeting was generously supported again by the Federal Ministry of Research and Technology (Bundesministe­ rium flir Forschung und Technologie, BMFT) within the framework of the West German BMFT Breast Cancer Study Group. We are grateful, in particular, to Mr. Hans W. Herzog for his personal in­ volvement. Juni 1988 H. Scheurlen, R. Kay, M.

Cancer Mortality and Morbidity Patterns in the U.S. Population: An Interdisciplinary Approach (Statistics for Biology and Health)

The purpose of this book is to examine the etiology of cancer in large human populations using mathematical models developed from an inter-disciplinary perspective of the population epidemiological, biodemographic, genetic and physiological basis of the mechanisms of cancer initiation and progression. In addition an investigation of how the basic mechanism of tumor initiation relates to general processes of senescence and to other major chronic diseases (e.g., heart disease and stroke) will be conducted.

Cancer Prevention Through Early Detection: First International Workshop, CaPTion 2022, Held in Conjunction with MICCAI 2022, Singapore, September 22, 2022, Proceedings (Lecture Notes in Computer Science #13581)

This book constitutes the refereed proceedings of the first International Workshop on Cancer Prevention through Early Detection, CaPTion, held in conjunction with the 25th International Conference on Medical Imaging and Computer-Assisted Intervention, MICCAI 2022, in Singapore, Singapore, in September 2022. The 16 papers presented at CaPTion 2022 were carefully reviewed and selected from 21 submissions. The workshop invites researchers to submit their work in the field of medical imaging around the central theme of early cancer detection, and it strives to address the challenges that are required to be overcomed to translate computational methods to clinical practice through well designed, generalizable (robust), interpretable and clinically transferable methods.

Canonical Analysis: A Review with Applications in Ecology (Biomathematics #12)

Relationships between sets of variables of different kinds are of interest in many branches of science. The question of the analysis of relationships of this sort has nevertheless rather surprisingly received less attention from statisticians and others than it would seem to deserve. Of the available methods, that address­ ing the question most directly is canonical correlation analysis, here referred to for convenience as canonical analysis. Yet canonical analysis is often coolly received despite a lack of suitable alternatives. The purpose of this book is to clarify just what may and what may not be accomplished by means of canoni­ cal analysis in one field of scientific endeavor. Canonical analysis is concerned with reducing the correlation structure be­ tween two (or more) sets of variables to its simplest possible form. After a review of the nature and properties of canonical analysis, an assessment of the method as an exploratory tool of use in ecological investigations is made. Applications of canonical analysis to several sets of ecological data are described and discussed with this objective in mind. The examples are drawn largely from plant ecology. The position is adopted that canonical analysis exists primarily to be used; the examples are accordingly worked through in some detail with the aim of showing how canonical analysis can contribute towards the attainment of ecological goals, as well as to indicate the kind and extent of the insight afforded.

Canonical Duality Theory: Unified Methodology for Multidisciplinary Study (Advances in Mechanics and Mathematics #37)

This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory’s role in bridging the gap between non-convex analysis/mechanics and global optimization. With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields.

Canonical Equational Proofs (Progress in Theoretical Computer Science)

Equations occur in many computer applications, such as symbolic compu­ tation, functional programming, abstract data type specifications, program verification, program synthesis, and automated theorem proving. Rewrite systems are directed equations used to compute by replacing subterms in a given formula by equal terms until a simplest form possible, called a normal form, is obtained. The theory of rewriting is concerned with the compu­ tation of normal forms. We shall study the use of rewrite techniques for reasoning about equations. Reasoning about equations may, for instance, involve deciding whether an equation is a logical consequence of a given set of equational axioms. Convergent rewrite systems are those for which the rewriting process de­ fines unique normal forms. They can be thought of as non-deterministic functional programs and provide reasonably efficient decision procedures for the underlying equational theories. The Knuth-Bendix completion method provides a means of testing for convergence and can often be used to con­ struct convergent rewrite systems from non-convergent ones. We develop a proof-theoretic framework for studying completion and related rewrite­ based proof procedures. We shall view theorem provers as proof transformation procedures, so as to express their essential properties as proof normalization theorems.

Canonical Gibbs Measures: Some Extensions of de Finetti's Representation Theorem for Interacting Particle Systems (Lecture Notes in Mathematics #760)

Canonical Metrics in Kähler Geometry (Lectures in Mathematics. ETH Zürich)

There has been fundamental progress in complex differential geometry in the last two decades. For one, The uniformization theory of canonical Kähler metrics has been established in higher dimensions, and many applications have been found, including the use of Calabi-Yau spaces in superstring theory. This monograph gives an introduction to the theory of canonical Kähler metrics on complex manifolds. It also presents some advanced topics not easily found elsewhere.

Canonical Perturbation Theories: Degenerate Systems and Resonance (Astrophysics and Space Science Library #345)

The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.