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Yes, but why? Teaching for understanding in mathematics (Corwin Ltd)

Getting the right answers in maths is only half the problem. Understanding why what you’re doing works is the part that often stumps students and teachers alike. The essential guide for mathematics teachers and those training to teach, Yes, but why? answers all your questions, and sheds light on the hidden connections between everything in mathematics at school. This second edition includes: · A new ‘Test yourself’ feature in every chapter · More coverage of the four operations · Enhanced discussion of fractions and proportionality · Downloadable figures for use in the classroom

Yes, But Why? Teaching for Understanding in Mathematics (1st edition)

Getting the right answers in maths is only half the problem. Understanding why what you’re doing works is the part that often stumps students and teachers alike. Does maths feels like a collection of random rules and steps that somehow lead you to an answer? Don’t worry you’re not alone. Ask yourself: why do we have odd and even numbers? Why do two negative numbers multiply to make a positive? Why do fraction operations work? What is cosine and where does it come from? Yes, but why? answers all of your questions, and sheds light on the hidden connections between everything in mathematics at school. Maths makes sense. It always has, but until now maybe no-one ever showed you. A must-read for those training to teach primary or secondary mathematics via university-based (PGCE, BEd, BA w/QTS) or school-based (School Direct, SCITT, Teach First) routes and current teachers wishing to deepen their mathematical understanding.

Yes, But Why? Teaching for Understanding in Mathematics (1st edition) (PDF)

Getting the right answers in maths is only half the problem. Understanding why what you’re doing works is the part that often stumps students and teachers alike. Does maths feels like a collection of random rules and steps that somehow lead you to an answer? Don’t worry you’re not alone. Ask yourself: why do we have odd and even numbers? Why do two negative numbers multiply to make a positive? Why do fraction operations work? What is cosine and where does it come from? Yes, but why? answers all of your questions, and sheds light on the hidden connections between everything in mathematics at school. Maths makes sense. It always has, but until now maybe no-one ever showed you. A must-read for those training to teach primary or secondary mathematics via university-based (PGCE, BEd, BA w/QTS) or school-based (School Direct, SCITT, Teach First) routes and current teachers wishing to deepen their mathematical understanding.

Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order (Lecture Notes in Mathematics #1789)

Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.

The Yield Curve and Financial Risk Premia: Implications for Monetary Policy (Lecture Notes in Economics and Mathematical Systems #654)

The determinants of yield curve dynamics have been thoroughly discussed in finance models. However, little can be said about the macroeconomic factors behind the movements of short- and long-term interest rates as well as the risk compensation demanded by financial investors. By taking on a macro-finance perspective, the book’s approach explicitly acknowledges the close feedback between monetary policy, the macroeconomy and financial conditions. Both theoretical and empirical models are applied in order to get a profound understanding of the interlinkages between economic activity, the conduct of monetary policy and the underlying macroeconomic factors of bond price movements. Moreover, the book identifies a broad risk-taking channel of monetary transmission which allows a reassessment of the role of financial constraints; it enables policy makers to develop new guidelines for monetary policy and for financial supervision of how to cope with evolving financial imbalances.

Yield Curve Modeling and Forecasting: The Dynamic Nelson-Siegel Approach

Understanding the dynamic evolution of the yield curve is critical to many financial tasks, including pricing financial assets and their derivatives, managing financial risk, allocating portfolios, structuring fiscal debt, conducting monetary policy, and valuing capital goods. Unfortunately, most yield curve models tend to be theoretically rigorous but empirically disappointing, or empirically successful but theoretically lacking. In this book, Francis Diebold and Glenn Rudebusch propose two extensions of the classic yield curve model of Nelson and Siegel that are both theoretically rigorous and empirically successful. The first extension is the dynamic Nelson-Siegel model (DNS), while the second takes this dynamic version and makes it arbitrage-free (AFNS). Diebold and Rudebusch show how these two models are just slightly different implementations of a single unified approach to dynamic yield curve modeling and forecasting. They emphasize both descriptive and efficient-markets aspects, they pay special attention to the links between the yield curve and macroeconomic fundamentals, and they show why DNS and AFNS are likely to remain of lasting appeal even as alternative arbitrage-free models are developed. Based on the Econometric and Tinbergen Institutes Lectures, Yield Curve Modeling and Forecasting contains essential tools with enhanced utility for academics, central banks, governments, and industry.

Yield Curve Modeling and Forecasting: The Dynamic Nelson-Siegel Approach

Understanding the dynamic evolution of the yield curve is critical to many financial tasks, including pricing financial assets and their derivatives, managing financial risk, allocating portfolios, structuring fiscal debt, conducting monetary policy, and valuing capital goods. Unfortunately, most yield curve models tend to be theoretically rigorous but empirically disappointing, or empirically successful but theoretically lacking. In this book, Francis Diebold and Glenn Rudebusch propose two extensions of the classic yield curve model of Nelson and Siegel that are both theoretically rigorous and empirically successful. The first extension is the dynamic Nelson-Siegel model (DNS), while the second takes this dynamic version and makes it arbitrage-free (AFNS). Diebold and Rudebusch show how these two models are just slightly different implementations of a single unified approach to dynamic yield curve modeling and forecasting. They emphasize both descriptive and efficient-markets aspects, they pay special attention to the links between the yield curve and macroeconomic fundamentals, and they show why DNS and AFNS are likely to remain of lasting appeal even as alternative arbitrage-free models are developed. Based on the Econometric and Tinbergen Institutes Lectures, Yield Curve Modeling and Forecasting contains essential tools with enhanced utility for academics, central banks, governments, and industry.

Yield Curves and Forward Curves for Diffusion Models of Short Rates

This book is dedicated to the study of the term structures of the yields of zero-coupon bonds. The methods it describes differ from those usually found in the literature in that the time variable is not the term to maturity but the interest rate duration, or another convenient non-linear transformation of terms. This makes it possible to consider yield curves not only for a limited interval of term values, but also for the entire positive semiaxis of terms. The main focus is the comparative analysis of yield curves and forward curves and the analytical study of their features. Generalizations of yield term structures are studied where the dimension of the state space of the financial market is increased. In cases where the analytical approach is too cumbersome, or impossible, numerical techniques are used. This book will be of interest to financial analysts, financial market researchers, graduate students and PhD students.

Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications (Probability Theory and Stochastic Modelling #79)

This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics such as stochastic stability and stochastic optimal control. The theory assimilated spans more than 35 years of mathematics, but is developed slowly and methodically in digestible pieces.The book begins with a motivational chapter that introduces the reader to several different models that play recurring roles throughout the book as the theory is unfolded, and invites readers from different disciplines to see immediately that the effort required to work through the theory that follows is worthwhile. From there, the author presents the necessary prerequisite material, and then launches the reader into the main discussion of the monograph, namely, Yosida approximations of SDEs, Yosida approximations of SDEs with Poisson jumps, and their applications. Most of the results considered in the main chapters appear for the first time in a book form, and contain illustrative examples on stochastic partial differential equations. The key steps are included in all proofs, especially the various estimates, which help the reader to get a true feel for the theory of Yosida approximations and their use.This work is intended for researchers and graduate students in mathematics specializing in probability theory and will appeal to numerical analysts, engineers, physicists and practitioners in finance who want to apply the theory of stochastic evolution equations. Since the approach is based mainly in semigroup theory, it is amenable to a wide audience including non-specialists in stochastic processes.

A Young Generation Under Pressure?: The Financial Situation and the "Rush Hour" of the Cohorts 1970 - 1985 in a Generational Comparison

Justice between generations is still not as prominent on any agenda as justice between rich and poor or men and women. For the first time, this three-part book explores the situation of young people of today in comparison to their direct predecessors. The first part, The Financial Situation of the Young Generation in a Generational Comparison, deals with this generation's financial standing; the second part, The Rush Hour of Life, examines their time restrictions. Both are considered from a life-course perspective. The third part, On the Path to Gerontocracy?, addresses the demographic shift in favor of the elderly in aging Western democracies.

Young Geographers: Showcasing Research Contributions in Geography (Key Challenges in Geography)

This book shows an updated overview of research about human geography topics like urban growth/urban challenges, transportation, landscape, land cover, geospatial analysis, regional planning/local development, cultural geography, tourism, and so on. Between 2020 and 2022, due to COVID-19 and lockdowns worldwide, there were fewer opportunities for young and upcoming researchers to present their state-of-the-art findings at conferences. In order to highlight exceptional research of young geographers during this time, the idea for this book was created. In collaboration with the EGEA alumni foundation for students and young geographers, 12 authors were selected to showcase their scientific work. In addition to that, most of them present amazing maps and figures as outstanding expression of the need of GIS for geography research.

Young Measures on Topological Spaces: With Applications in Control Theory and Probability Theory (Mathematics and Its Applications #571)

Youngsters Solving Mathematical Problems with Technology: The Results and Implications of the Problem@Web Project (Mathematics Education in the Digital Era #5)

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters’ mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students´ and teachers´ perspectives on mathematics learning, especially school compared to beyond-school mathematics.

Your Essential Guide to Quantitative Hedge Fund Investing

Your Essential Guide to Quantitative Hedge Fund Investing provides a conceptual framework for understanding effective hedge fund investment strategies. The book offers a mathematically rigorous exploration of different topics, framed in an easy to digest set of examples and analogies, including stories from some legendary hedge fund investors. Readers will be guided from the historical to the cutting edge, while building a framework of understanding that encompasses it all. Features Filled with novel examples and analogies from within and beyond the world of finance Suitable for practitioners and graduate-level students with a passion for understanding the complexities that lie behind the raw mechanics of quantitative hedge fund investment A unique insight from an author with experience of both the practical and academic spheres.

Your Essential Guide to Quantitative Hedge Fund Investing

Your Essential Guide to Quantitative Hedge Fund Investing provides a conceptual framework for understanding effective hedge fund investment strategies. The book offers a mathematically rigorous exploration of different topics, framed in an easy to digest set of examples and analogies, including stories from some legendary hedge fund investors. Readers will be guided from the historical to the cutting edge, while building a framework of understanding that encompasses it all. Features Filled with novel examples and analogies from within and beyond the world of finance Suitable for practitioners and graduate-level students with a passion for understanding the complexities that lie behind the raw mechanics of quantitative hedge fund investment A unique insight from an author with experience of both the practical and academic spheres.

Your Number's Up: Digits, number lines, negative and positive numbers (Maths is Everywhere #1)

Numbers are all around us but why are they important? This book finds out what numbers are, from how we count them, to what are prime and base numbers and takes you upto the really big ones - millions, billions and to infinity and beyond. You'll also explore some really strange numbers, find out about your body in numbers and get to grips with roman numerals. Plus, there are fun quizzes to help you test your knowledge.The book is part of the Maths is Everywhere series, which demystifies all aspects of maths and shows how it relates to your everyday world with fun, colourful graphics. These are fantastic books for children aged nine plus who are studying maths, or for anyone who wants to get to grips with maths in a fun way.

Your Undergraduate Psychology Project: A Student Guide

Your Undergraduate Psychology Project: A Student Guide has been designed with the needs of the student in mind. Packed with hints and tips, and written in a simple, informal style, this ‘second supervisor’ is designed to ease students further into the world of research. The second edition has been completely revised and updated with new material on focus groups and ethics and a new section entitled How to Lose Marks Instantly Structured chronologically around planning a project, carrying it out, and then writing it up. Gives practical advice on how to deal with day-to-day problems such as software failures or uncommunicative interviewees. Written in consultation with a number of experienced academics and students of psychology.

Youth Development in South Africa: Harnessing the Demographic Dividend (Diverse Perspectives on Creating a Fairer Society)

The African continent is colloquially referred to as the youngest in the world. Seizing on a topic underexplored in African research, Youth Development in South Africa: Harnessing the Demographic Dividend confronts the issues, challenges, and opportunities facing South Africa’s youth, resulting in a rich exploration of the South African corpus on youth development. Bringing together a diverse range of topics and research methodologies, contributors focus on the demographic dividend, South Africa’s relatively large population of young people, and the implications of harnessing this for economic growth and development within this country. Analysing model institutional and policy initiatives for youth development, contributors present a unique translation of ideas into practice, as well as attention to solutions. Highlighting challenges such as health pandemics, social media, and climate change, chapters cover questions surrounding youth aspirations, employment, and inclusivity. Showcasing the voices of researchers from across South Africa and the larger African continent, Youth Development in South Africa: Harnessing the Demographic Dividend is a compelling snapshot of thirty years of South Africa’s democratic dispensation and what it has meant for the youth of the country, as well as how its demographic dividend can be harnessed for a fairer society in the future.

Youth Development in South Africa: Harnessing the Demographic Dividend (Diverse Perspectives on Creating a Fairer Society)

The African continent is colloquially referred to as the youngest in the world. Seizing on a topic underexplored in African research, Youth Development in South Africa: Harnessing the Demographic Dividend confronts the issues, challenges, and opportunities facing South Africa’s youth, resulting in a rich exploration of the South African corpus on youth development. Bringing together a diverse range of topics and research methodologies, contributors focus on the demographic dividend, South Africa’s relatively large population of young people, and the implications of harnessing this for economic growth and development within this country. Analysing model institutional and policy initiatives for youth development, contributors present a unique translation of ideas into practice, as well as attention to solutions. Highlighting challenges such as health pandemics, social media, and climate change, chapters cover questions surrounding youth aspirations, employment, and inclusivity. Showcasing the voices of researchers from across South Africa and the larger African continent, Youth Development in South Africa: Harnessing the Demographic Dividend is a compelling snapshot of thirty years of South Africa’s democratic dispensation and what it has meant for the youth of the country, as well as how its demographic dividend can be harnessed for a fairer society in the future.

The Youth Experience Gap: Explaining National Differences in the School-to-Work Transition (SpringerBriefs in Economics)

“The education to work transition of young people is key to a successful work-life and to fight youth unemployment. The book provides an impressive outline of the facts and convincing insights of the potential causes. This offers a large and broader audience help to adjust properly to achieve a better life.”Klaus F. Zimmermann, IZA, Bonn, GermanyThis work points to the youth experience gap as a key concept to explain the meager employment opportunities and earnings many young people face.The transition from education to work remains a long dark tunnel around the world. However, this book shows that there are striking differences between countries: in Germany, the young people of today are no worse off than their adult counterparts, while in Southern European and Eastern European countries they fare 3 through 4 times worse.The current economic and financial crisis has further exacerbated the situation for young people in many advanced economies. Observers are divided as to the optimal design of youth employment policy. Liberalists believe that the market itself should address youth disadvantages. More flexible labor markets should also guarantee greater labor turnover, including temporary work, so as to allow young people to move from one job to the next until they accumulate the work experience they need to become more employable and find the right career. In contrast, other economists oppose approaches focusing on entry flexibility and temporary work, claiming that the former type helps only the most skilled and motivated target groups, while the latter only allows young people to gather generic, not job-specific work experience.

Youth in India: Aspirations, Attitudes, Anxieties

This book explores the attitudes, anxieties and aspirations of India’s burgeoning young population in a globalised world. Drawing upon time-series survey data of the Indian youth aged between 15 and 34 years across 19 Indian states, it provides key insights into a range of themes along with an overview of the changing trends and patterns of their behaviour. The volume examines the job preferences of the Indian youth, their career priorities and opinions on reservations in employment and education sectors. It measures their degree of political participation and studies their attitude regarding political issues. It looks at aspects relating to their social and cultural contexts, preferences and practices, including lifestyle choices, consumption habits and social customs such as marriage, as they negotiate between tradition and modernity. Further, it discusses the anxieties and insecurities that the youth face, their mental health and their experiences of social discrimination. The essays here offer an understanding of a critical demographic and shed light on the challenges and opportunities that the Indian youth confront today. Lucid, accessible and empirically grounded, this volume will be useful to scholars and researchers of sociology, political sociology, political studies, youth psychology and anthropology as well as policymakers, journalists and the interested general reader.

Youth in India: Aspirations, Attitudes, Anxieties

This book explores the attitudes, anxieties and aspirations of India’s burgeoning young population in a globalised world. Drawing upon time-series survey data of the Indian youth aged between 15 and 34 years across 19 Indian states, it provides key insights into a range of themes along with an overview of the changing trends and patterns of their behaviour. The volume examines the job preferences of the Indian youth, their career priorities and opinions on reservations in employment and education sectors. It measures their degree of political participation and studies their attitude regarding political issues. It looks at aspects relating to their social and cultural contexts, preferences and practices, including lifestyle choices, consumption habits and social customs such as marriage, as they negotiate between tradition and modernity. Further, it discusses the anxieties and insecurities that the youth face, their mental health and their experiences of social discrimination. The essays here offer an understanding of a critical demographic and shed light on the challenges and opportunities that the Indian youth confront today. Lucid, accessible and empirically grounded, this volume will be useful to scholars and researchers of sociology, political sociology, political studies, youth psychology and anthropology as well as policymakers, journalists and the interested general reader.

Youthquake: Why African Demography Should Matter to the World

A riveting study of Africa's demographics – its youth and growth – and what they mean for the continent, today and into the future. 'Essential reading' Guardian 'Intensely researched – and very important!' The Week 'The research in Youthquake is meticulous' Tim Marshall, Reaction 'Attempts to end the hysteria and ignorance surrounding demographic trends' New Statesman 'Meticulously researched, nuanced and brilliant' Mary HarperAfrica's population growth in the last 50 years has been unprecedented. By mid-century, the continent will make up a quarter of the global population, compared to one-tenth in 1980. Africa's youth is the most striking aspect of its demography. As the rest of the world ages, almost 60 per cent of Africa's population is younger than 25 years old. This 'youthquake' will have immense consequences for the social, economic and political reality in Africa. Edward Paice presents a detailed, nuanced analysis of the varied demography of Africa. He rejects the fanciful over-optimism of some commentators and doom-laden prophecies of others, while scrutinising received wisdom, and carefully considering the ramifications of the youthquake for Africa and the world.

The Yugoslav Economic System (Routledge Revivals): The First Labor-Managed Economy in the Making

First published in 1976, this book traces the development of the Yugoslav economy from the end of the Second World War to the beginning of 1975, which the author argues was a highly productive era of social innovation. Drawing on personal experience of the Revolution, the Partisan Liberation War and his time as a member of the Federal Planning Board as well as a comprehensive array of written sources, the author attempts to understand the development process, compare policy proclamations with achieved results, study the theories and ideas that led a to certain policy, distinguish the economic and political ingredients in decision making and analyses the causes of success and failure.

The Yugoslav Economic System (Routledge Revivals): The First Labor-Managed Economy in the Making

First published in 1976, this book traces the development of the Yugoslav economy from the end of the Second World War to the beginning of 1975, which the author argues was a highly productive era of social innovation. Drawing on personal experience of the Revolution, the Partisan Liberation War and his time as a member of the Federal Planning Board as well as a comprehensive array of written sources, the author attempts to understand the development process, compare policy proclamations with achieved results, study the theories and ideas that led a to certain policy, distinguish the economic and political ingredients in decision making and analyses the causes of success and failure.