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Step Into STEAM, Grades K-5: Your Standards-Based Action Plan for Deepening Mathematics and Science Learning (Corwin Mathematics Series)
by Sarah B. Bush Kristin L. CookCreate meaningful and transformative K-5 STEAM learning experiences for each and every student Make the most of your limited instructional time and become part of the Step into STEAM movement! Seamlessly design and implement K-5 STEAM inquiries that align carefully to key mathematics and science content and practices and prepare elementary students for their bright futures. Taking an opposite approach to existing resources that provide collections of disjointed STEAM activities, this book empowers teachers and schools to build cohesive and sustainable STEAM infrastructures—grounded in grade-level standards and purposeful assessment—to deepen the mathematics and science learning of each and every student.
Step Into STEAM, Grades K-5: Your Standards-Based Action Plan for Deepening Mathematics and Science Learning (Corwin Mathematics Series)
by Sarah B. Bush Kristin L. CookCreate meaningful and transformative K-5 STEAM learning experiences for each and every student Make the most of your limited instructional time and become part of the Step into STEAM movement! Seamlessly design and implement K-5 STEAM inquiries that align carefully to key mathematics and science content and practices and prepare elementary students for their bright futures. Taking an opposite approach to existing resources that provide collections of disjointed STEAM activities, this book empowers teachers and schools to build cohesive and sustainable STEAM infrastructures—grounded in grade-level standards and purposeful assessment—to deepen the mathematics and science learning of each and every student.
Step Into STEAM, Grades PreK-5: Your Standards-Based Action Plan for Deepening Mathematics and Science Learning
by Sarah B. Bush Kristin L. CookCreate innovative and equitable experiences that prepare your learners for the future! STEAM education is crucial for preparing learners to meet the demands of a rapidly evolving world. Not every learner is going to pursue a STEAM-related career, but each and every learner needs to be challenged with opportunities to transfer what they are learning in mathematics and science instruction to seek solutions to the complex problems of today—and to meet our future world head on! In this Second Edition of Step Into STEAM, authors Sarah Bush and Kristin Cook guide and inspire PreK–5 educators through a seamless process of designing and implementing STEAM inquiries that align precisely to key mathematics and science content and practices—all while meeting the demands of guiding assessments. Going far beyond a collection of STEAM activities, this book shows educators, as well as school and district leaders, how to build a STEAM ecosystem that can measurably improve every learner’s mathematics and science achievement, as well as engagement, belonging, and interest. What truly sets this book apart is its masterful integration of problem-based inquiry as the foundation for STEAM instruction. This updated edition: Expands on the latest research in STEAM education across PreK-5 in various educational settings Incorporates strategies grounded in Universal Design for Learning to engage all learners Provides updated STEAM resources aligned to the Integrated STEM Practices Embeds actionable tips throughout each chapter that educators can implement immediately in addition to suggestions for ongoing learning and growth for all Offers an updated companion website with additional templates for brainstorming sessions or book studies, action plans, and checklists to help educators put their ideas into practice This is an essential guide for educators looking to implement STEAM education in their classrooms and beyond. Step Into STEAM provides a comprehensive roadmap for cultivating the creativity, problem-solving abilities, resilience, and empathy that will empower the next generation of innovators, entrepreneurs, and global citizens. Make the most of your limited instructional time and become part of the Step Into STEAM journey!
Step Into STEAM, Grades PreK-5: Your Standards-Based Action Plan for Deepening Mathematics and Science Learning
by Sarah B. Bush Kristin L. CookCreate innovative and equitable experiences that prepare your learners for the future! STEAM education is crucial for preparing learners to meet the demands of a rapidly evolving world. Not every learner is going to pursue a STEAM-related career, but each and every learner needs to be challenged with opportunities to transfer what they are learning in mathematics and science instruction to seek solutions to the complex problems of today—and to meet our future world head on! In this Second Edition of Step Into STEAM, authors Sarah Bush and Kristin Cook guide and inspire PreK–5 educators through a seamless process of designing and implementing STEAM inquiries that align precisely to key mathematics and science content and practices—all while meeting the demands of guiding assessments. Going far beyond a collection of STEAM activities, this book shows educators, as well as school and district leaders, how to build a STEAM ecosystem that can measurably improve every learner’s mathematics and science achievement, as well as engagement, belonging, and interest. What truly sets this book apart is its masterful integration of problem-based inquiry as the foundation for STEAM instruction. This updated edition: Expands on the latest research in STEAM education across PreK-5 in various educational settings Incorporates strategies grounded in Universal Design for Learning to engage all learners Provides updated STEAM resources aligned to the Integrated STEM Practices Embeds actionable tips throughout each chapter that educators can implement immediately in addition to suggestions for ongoing learning and growth for all Offers an updated companion website with additional templates for brainstorming sessions or book studies, action plans, and checklists to help educators put their ideas into practice This is an essential guide for educators looking to implement STEAM education in their classrooms and beyond. Step Into STEAM provides a comprehensive roadmap for cultivating the creativity, problem-solving abilities, resilience, and empathy that will empower the next generation of innovators, entrepreneurs, and global citizens. Make the most of your limited instructional time and become part of the Step Into STEAM journey!
Step into the World of Mathematics: Math Is Beautiful and Belongs to All of Us
by Samuli SiltanenModern life is increasingly relying on digital technology, which in turn runs on mathematics. However, this underlying math is hidden from us. That is mostly a good thing since we do not want to be solving equations and calculating fractions just to get things done in our everyday business. But the mathematical details do matter for anyone who wants to understand how stuff works, or wishes to create something new in the jungle of apps and algorithms. This book takes a look at the mathematical models behind weather forecasting, climate change prediction, artificial intelligence, medical imaging and computer graphics. The reader is expected to have only a curious mind; technical math skills are not needed for enjoying this text.
STEP, MAT, TMUA: Skills for success in University Admissions Tests for Mathematics
by Richard Lissaman Tim Honeywill David Bedford Phil ChaffeStand out, showcase your ability and succeed in your university admissions test. Whether you're taking STEP, MAT or TMUA, this essential guide reveals tried-and-tested strategies for building the problem-solving skills you need to secure a high score.Containing expert advice and worked examples, followed by multiple-choice and extended questions that replicate the exams, this guide is designed to improve your understanding of the admissions tests and help to build the skills universities are looking for.- Learn to think like a university student - detailed guidance, thought-provoking questions and worked solutions show you how to advance your mathematical thinking- Improve your mathematical reasoning - practise the problem-solving skills you need with 'Try it out' activities throughout the book and end-of-chapter exercises to track progress- Build a path through every problem - our authors guide you through each type of problem so that you can approach questions confidently, think on the spot and apply your knowledge to new contexts- Maximise marks and make the most of the time you have - at the end of each chapter, our authors give advice on how to tackle questions in the most time-efficient way and help you to figure out which ones will show off your abilityWhat are the STEP (Sixth Term Examination Paper), MAT (Mathematics Admissions Test) and TMUA (Test of Mathematics for University Admission) admissions tests?These admissions tests are used by universities as part of the application process to test problem-solving skills and identify candidates with the highest ability, motivation and ingenuity.MEI (Mathematics in Education and Industry) endorses this book and provided two of the authors. MEI is a charity and works to improve maths education, offering a range of support for teachers, including expertly written resources.OUR AUTHORSDavid Bedford has a PhD in Combinatorics and has been a mathematics lecturer in UK universities for over 30 years. He is also an A level examiner and has extensive experience in preparing students for mathematics admissions tests. David is the author of the Hodder 'MEI Further Mathematics: Extra Pure Maths' textbook.Phil Chaffé is the Advanced Maths Support Programme 16-19 Student Support and Problem Solving Professional Development Lead. He is the creator and lead writer for the Problem Solving Matters course which is designed to prepare students for mathematics admissions tests and is run in partnership with the Universities of Oxford, Warwick, Durham, Manchester, Bristol and Imperial College London. He is also the course designer for Imperial College's A* in A Level Mathematics course. He is also the MEI University Sector Lead.Tim Honeywill has been teaching at King Henry VIII School, Coventry, since 2008. Before that, he was the Coventry and Warwickshire Centre Manager for the Further Mathematics Network (now the AMSP), based at the University of Warwick where he did his PhD. He leads a ten-week Problem Solving course for Year 12 students and is a presenter on both the Problem Solving Matters course and on a STEP support course for Year 13 students.Richard Lissaman has a PhD in Ring Theory, a branch of abstract algebra. He has over 10 years' experience as a mathematics lecturer in UK universities and 20 years' experience of supporting students with A level Mathematics, Further Mathematics and mathematics admissions tests.
Stephen of Pisa and Antioch: An Introduction to Ptolemaic Cosmology and Astronomy from the Early Crusader States (Sources and Studies in the History of Mathematics and Physical Sciences)
by Dirk GrupeThis volume aims to make Stephen of Pisa and Antioch’s work on the celestial sciences accessible to a wider readership, providing not just the text but a translation and introduction as well. The edition is based on the only known manuscript of the Liber Mamonis, MS Cambrai, Médiathèque d’Agglomération, A 930. It is split into two parts: the first provides an extensive introduction to Stephen and his work, while the second features the edition and translation. A comprehensive glossary and collection of photographs of plates are also included.
Steps into Analytic Number Theory: A Problem-Based Introduction (Problem Books in Mathematics)
by Paul Pollack Akash Singha RoyThis problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies. It emerged from a 5-week course taught by the first author as part of the 2019 Ross/Asia Mathematics Program held from July 7 to August 9 in Zhenjiang, China. While it is recommended that the reader has a solid background in mathematical problem solving (as from training for mathematical contests), no possession of advanced subject-matter knowledge is assumed. Most of the solutions require nothing more than elementary number theory and a good grasp of calculus. Problems touch at key topics like the value-distribution of arithmetic functions, the distribution of prime numbers, the distribution of squares and nonsquares modulo a prime number, Dirichlet's theorem on primes in arithmetic progressions, and more. This book is suitable for any student with a special interest in developing problem-solving skills in analytic number theory. It will be an invaluable aid to lecturers and students as a supplementary text for introductory Analytic Number Theory courses at both the undergraduate and graduate level.
Steps Toward a Planning Framework for Elder Care in the Arab World
by Mustafa Z. Younis William B. WardThis book reviews the elder care literature pertaining to the Arab world and proposes steps that can be taken to improve the health and quality of life of older people in this region. Organized in three main sections (Program Assessment, Program Planning, Conclusions and Recommendations), the book addresses such topics as developing a conceptual framework; Arab world elder demographics; quality of life issues; demand for services; training issues; training capacity and capabilities; and conclusions and recommendations for improving the health of older persons in the Arab world. While the countries of the Arab world have the advantage of a unified language and culture that can be used to expedite development of area-wide approaches to a system of elder care, the lack of economic and political unification (such as common market and open trade) along with institutionalized age discrimination (some Arab countries restrict hiring for government and private jobs to persons younger than 45) present barriers to improving the health of older people. In addition, modernization and ease of transportation have resulted in a heavy focus on Western-style fast food, with an accompanying increase in chronic diseases such as hypertension, cardiovascular disease, diabetes, and cancer.
Stereographic Projection Techniques for Geologists and Civil Engineers
by Richard J. Lisle Peter R. LeyshonThe stereographic projection is an essential tool in the fields of structural geology and geotechnics, which allows three-dimensional orientation data to be represented and manipulated. This book has been designed to make the subject as accessible as possible. It gives a straightforward and simple introduction to the subject and, by means of examples, illustrations and exercises, encourages the student to visualise the problems in three dimensions. Students of all levels will be able to work through the book and come away with a clear understanding of how to apply these vital techniques. This revised edition contains additional material on geotechnical applications, improved illustrations and links to useful web resources and software programs. It will provide students of geology, rock mechanics, geotechnical and civil engineering with an indispensable guide to the analysis and interpretation of field orientation data.
Stereology for Statisticians (Chapman & Hall/CRC Monographs on Statistics and Applied Probability)
by Adrian Baddeley Eva B. JensenSetting out the principles of stereology from a statistical viewpoint, this book focuses on both basic theory and practical implications. The authors discuss ways to effectively communicate statistical issues to clients, draw attention to common methodological errors, and provide references to essential literature. The first full text on design-bas
Stereoscopic HDTV
by Hirokazu Yamanoue Masaki Emoto Yuji NojiriThis book focuses on the two psychological factors of naturalness and ease of viewing of three-dimensional high-definition television (3D HDTV) images. It has been said that distortions peculiar to stereoscopic images, such as the "puppet theater" effect or the "cardboard" effect, spoil the sense of presence. Whereas many earlier studies have focused on geometrical calculations about these distortions, this book instead describes the relationship between the naturalness of reproduced 3D HDTV images and the nonlinearity of depthwise reproduction. The ease of viewing of each scene is regarded as one of the causal factors of visual fatigue. Many of the earlier studies have been concerned with the accurate extraction of local parallax; however, this book describes the typical spatiotemporal distribution of parallax in 3D images. The purpose of the book is to examine the correlations between the psychological factors and amount of characteristics of parallax distribution in order to understand the characteristics of easy- and difficult-to-view images and then to seek to create a new 3D HDTV system that minimizes visual fatigue for the viewer. The book is an important resource for researchers who wish to investigate and better understand various psychological effects caused by stereoscopic images.
Stereotomy: Stone Construction and Geometry in Western Europe 1200–1900 (Mathematics and the Built Environment #4)
by José Calvo-LópezThis book deals with the general concepts in stereotomy and its connection with descriptive geometry, the social background of its practitioners and theoreticians, the general methods and tools of this technology, and the specific procedures for the members built in hewn stone, including arches, squinches, stairs and vaults, ending with a chapter discussing the open problems in this field. Thus, it can be used as a reference book in the subject, but it can also read as a compelling narrative on this subject, one of the main branches of pre-industrial technology. Construction in hewn stone requires the use of geometrical methods and tools to assure that individual stones, either blocks or voussoirs, fit with one another and conform to the general shape of walls, arches or vaults. During the Late Middle Ages and the Renaissance, such techniques and instruments were developed empirically by masons and architects. Later on, learned mathematicians and engineers introduced refinements in these procedures and this branch of knowledge, known as stereotomy, furnished much material to descriptive geometry, a science born with the French Revolution which provided the foundation for projective geometry.
Steven Weinberg: A Life in Physics
by Steven WeinbergSteven Weinberg shares his candid thoughts, in his own words, on theoretical physics and cosmology, along with personal anecdotes and recollections of the people who helped shape his career. These memoirs of his life as a scientist and public figure cover his student days and early career, through the golden age of particle physics in the 1970s, his being awarded the Nobel prize, through to the end of the twentieth century. In addition to his research insights, Weinberg provides glimpses into his life in academia more broadly: dealing with the 'two-body problem', tenure, international conference travel, his book-writing, advisory work with JASON, and his advocacy for the Superconducting Super Collider. Physicists, historians of science and interested readers will find the presentation engaging and often witty, as Weinberg reflects on his life in physics.
Stichproben
by Göran Kauermann Helmut KüchenhoffDas Buch führt in Grundprinzipien der Stichprobenziehung und der zugehörigen statistischen Auswertung ein. Dabei stehen Motivation und anschauliche Beschreibung der Verfahren im Vordergrund. Nach einer generellen Einführung werden sowohl modellbasierte als auch designbasierte Stichprobenverfahren wie Clusterstichprobe und geschichtete Stichprobe entwickelt. Jedes Kapitel wird mit der Umsetzung der Verfahren mit dem Programpaket R abgeschlossen. Hierdurch werden die Leserin und der Leser in die Lage versetzt, selbst komplexe Stichprobenverfahren direkt in R umzusetzen. Ein Ausblick auf weitere Verfahren und praktische Probleme schließt jedes Kapitel des Buches ab.
The Stieltjes Integral
by Gregory Convertito David Cruz-UribeThe Stieltjes Integral provides a detailed, rigorous treatment of the Stieltjes integral. This integral is a generalization of the Riemann and Darboux integrals of calculus and undergraduate analysis, and can serve as a bridge between classical and modern analysis. It has applications in many areas, including number theory, statistics, physics, and finance. It begins with the Darboux integral, builds the theory of functions of bounded variation, and then develops the Stieltjes integral. It culminates with a proof of the Riesz representation theorem as an application of the Stieltjes integral. For much of the 20th century the Stjeltjes integral was a standard part of the undergraduate or beginning graduate student sequence in analysis. However, the typical mathematics curriculum has changed at many institutions, and the Stieltjes integral has become less common in undergraduate textbooks and analysis courses. This book seeks to address this by offering an accessible treatment of the subject to students who have had a one semester course in analysis. This book is suitable for a second semester course in analysis, and also for independent study or as the foundation for a senior thesis or Masters project. Features: Written to be rigorous without sacrificing readability. Accessible to undergraduate students who have taken a one-semester course on real analysis. Contains a large number of exercises from routine to challenging.
A Stitch in Line: Mathematics and One-Stitch Sashiko (AK Peters/CRC Recreational Mathematics Series)
by Katherine SeatonA Stitch in Line: Mathematics and One-Stitch Sashiko provides readers with instructions for creating hitomezashi items with minimum outlay. The reader is guided through the practical steps involved in creating each design, and then the mathematics which underpins it is explained in a friendly, accessible way. This is a fantastic book for anyone who is interested in recreational mathematics and/or fibre arts and can be a useful resource for teaching and learning mathematical concepts in a fun and engaging format. Features Numerous full-colour photographs of hitomezashi stitch patterns which have been mathematically designed. Suitable for readers of all mathematical levels and backgrounds — no prior knowledge is automatically assumed. A compressed encoding for recording and designing hitomezashi patterns to be stitched or drawn. Accessible explanations and explorations of mathematical concepts inherent in, or illustrated by, hitomezashi patterns.
Stochastic Analysis (Monographs in Mathematical Economics #3)
by Shigeo KusuokaThis book is intended for university seniors and graduate students majoring in probability theory or mathematical finance. In the first chapter, results in probability theory are reviewed. Then, it follows a discussion of discrete-time martingales, continuous time square integrable martingales (particularly, continuous martingales of continuous paths), stochastic integrations with respect to continuous local martingales, and stochastic differential equations driven by Brownian motions. In the final chapter, applications to mathematical finance are given. The preliminary knowledge needed by the reader is linear algebra and measure theory. Rigorous proofs are provided for theorems, propositions, and lemmas.In this book, the definition of conditional expectations is slightly different than what is usually found in other textbooks. For the Doob–Meyer decomposition theorem, only square integrable submartingales are considered, and only elementary facts of the square integrable functions are used in the proof. In stochastic differential equations, the Euler–Maruyama approximation is used mainly to prove the uniqueness of martingale problems and the smoothness of solutions of stochastic differential equations.
Stochastic Analysis
by Hiroyuki Matsumoto Setsuo TaniguchiThanks to the driving forces of the It#65533; calculus and the Malliavin calculus, stochastic analysis has expanded into numerous fields including partial differential equations, physics, and mathematical finance. This book is a compact, graduate-level text that develops the two calculi in tandem, laying out a balanced toolbox for researchers and students in mathematics and mathematical finance. The book explores foundations and applications of the two calculi, including stochastic integrals and differential equations, and the distribution theory on Wiener space developed by the Japanese school of probability. Uniquely, the book then delves into the possibilities that arise by using the two flavors of calculus together. Taking a distinctive, path-space-oriented approach, this book crystallizes modern day stochastic analysis into a single volume.
Stochastic Analysis and Applications
by Mark A. PinskyThis volume attempts to exhibit current research in stochastic integration, stochastic differential equations, stochastic optimization and stochastic problems in physics and biology. It includes information on the theory of Dirichlet forms, Feynman integration and the Schrodinger's equation.
Stochastic Analysis and Applications 2014
by Dan Crisan Ben Hambly Thaleia ZariphopoulouArticles from many of the main contributors to recent progress in stochastic analysis are included in this volume, which provides a snapshot of the current state of the area and its ongoing developments. It constitutes the proceedings of the conference on "Stochastic Analysis and Applications" held at the University of Oxford and the Oxford-Man Institute during 23-27 September, 2013. The conference honored the 60th birthday of Professor Terry Lyons FLSW FRSE FRS, Wallis Professor of Mathematics, University of Oxford. Terry Lyons is one of the leaders in the field of stochastic analysis. His introduction of the notion of rough paths has revolutionized the field, both in theory and in practice. Stochastic Analysis is the branch of mathematics that deals with the analysis of dynamical systems affected by noise. It emerged as a core area of mathematics in the late 20th century and has subsequently developed into an important theory with a wide range of powerful and novel tools, and with impressive applications within and beyond mathematics. Many systems are profoundly affected by stochastic fluctuations and it is not surprising that the array of applications of Stochastic Analysis is vast and touches on many aspects of life. The present volume is intended for researchers and Ph. D. students in stochastic analysis and its applications, stochastic optimization and financial mathematics, as well as financial engineers and quantitative analysts.
Stochastic Analysis and Related Topics
by Fabrice Baudoin Jonathon PetersonThe articles in this collection are a sampling of some of the research presented during the conference "Stochastic Analysis and Related Topics," held in May of 2015 at Purdue University in honor of the 60thbirthday of Rodrigo Banuelos. A wide variety of topics in probability theory is covered in these proceedings, including heat kernel estimates, Malliavin calculus, rough paths differential equations, Levy processes, Brownian motion on manifolds, and spin glasses, among other topics.
Stochastic Analysis and Related Topics
by Jamal Najim Laurent DecreusefondSince the early eighties, Ali Süleyman Üstünel has been one of the main contributors to the field of Malliavin calculus. In a workshop held in Paris, June 2010 several prominent researchers gave exciting talks in honor of his 60th birthday. The present volume includes scientific contributions from this workshop. Probability theory is first and foremost aimed at solving real-life problems containing randomness. Markov processes are one of the key tools for modeling that plays a vital part concerning such problems. Contributions on inventory control, mutation-selection in genetics and public-private partnerships illustrate several applications in this volume. Stochastic differential equations, be they partial or ordinary, also play a key role in stochastic modeling. Two of the contributions analyze examples that share a focus on probabilistic tools, namely stochastic analysis and stochastic calculus. Three other papers are devoted more to the theoretical development of these aspects. The volume addresses graduate students and researchers interested in stochastic analysis and its applications.
Stochastic Analysis for Finance with Simulations
by Geon Ho Ho ChoeThis book is an introduction to stochastic analysis and quantitative finance; it includes both theoretical and computational methods. Topics covered are stochastic calculus, option pricing, optimal portfolio investment, and interest rate models. Also included are simulations of stochastic phenomena, numerical solutions of the Black-Scholes-Merton equation, Monte Carlo methods, and time series. Basic measure theory is used as a tool to describe probabilistic phenomena. The level of familiarity with computer programming is kept to a minimum. To make the book accessible to a wider audience, some background mathematical facts are included in the first part of the book and also in the appendices. This work attempts to bridge the gap between mathematics and finance by using diagrams, graphs and simulations in addition to rigorous theoretical exposition. Simulations are not only used as the computational method in quantitative finance, but they can also facilitate an intuitive and deeper understanding of theoretical concepts. Stochastic Analysis for Finance with Simulations is designed for readers who want to have a deeper understanding of the delicate theory of quantitative finance by doing computer simulations in addition to theoretical study. It will particularly appeal to advanced undergraduate and graduate students in mathematics and business, but not excluding practitioners in finance industry.
Stochastic Analysis for Gaussian Random Processes and Fields: With Applications (Chapman & Hall/CRC Monographs on Statistics and Applied Probability)
by Vidyadhar S. Mandrekar Leszek GawareckiStochastic Analysis for Gaussian Random Processes and Fields: With Applications presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it studies Gaussian random fields using reproducing kernel Hilbert spaces (RKHSs).The book begins with preliminary results on covariance and associated RKHS