This new and updated second edition of Debates in Mathematics Education explores the major issues that mathematics teachers encounter in their daily lives. By engaging with established and contemporary debates, this volume promotes and supports critical reflection and aims to stimulate both novice and experienced teachers to reach informed judgements and argue their point of view with deeper theoretical knowledge and understanding. Divided into five accessible sections, this book investigates and offers fresh insight into topics of central importance in mathematics education, with this second edition including new discussions and chapters on: Classic and contemporary issues of pedagogy, politics, philosophy and sociology of mathematics education International comparisons of achievement Digital technologies for teaching Mastery in mathematics Pop culture and mathematics Whether mathematics can be harmful Designed to stimulate discussion and support you in your own research, writing and practice through suggested questions and activities throughout, Debates in Mathematics Education will be a valuable resource for any student or practising teacher, and those engaged in initial teacher education, continuing professional development or Master's level study. This book also has much to offer to those leading mathematics departments in schools and initial teacher education programmes, and to beginning doctoral students looking for a survey of the field of mathematics education research.
A former Wisconsin high school science teacher makes the case that how and why we teach science matters, especially now that its legitimacy is under attack. Why teach science? The answer to that question will determine how it is taught. Yet despite the enduring belief in this country that science should be taught, there has been no enduring consensus about how or why. This is especially true when it comes to teaching scientific process. Nearly all of the basic knowledge we have about the world is rock solid. The science we teach in high schools in particular laws of motion, the structure of the atom, cell division, DNA replication, the universal speed limit of light?is accepted as the way nature works. Everyone also agrees that students and the public more generally should understand the methods used to gain this knowledge. But what exactly is the scientific method? Ever since the late 1800s, scientists and science educators have grappled with that question. Through the years, they've advanced an assortment of strategies, ranging from ?the laboratory method? to the ?five-step method? to ?science as inquiry? to no method at all. How We Teach Science reveals that each strategy was influenced by the intellectual, cultural, and political circumstances of the time. In some eras, learning about experimentation and scientific inquiry was seen to contribute to an individual's intellectual and moral improvement, while in others it was viewed as a way to minimize public interference in institutional science. John Rudolph shows that how we think about and teach science will either sustain or thwart future innovation, and ultimately determine how science is perceived and received by the public.
Close the gender gap in mathematics across K-5 classrooms. In Making Sense of Mathematics for Teaching Girls in Grades K-5, a team of acclaimed experts presents their research and recommendations for teaching math to girls in four succinct, results-focused chapters. Included are a variety of tools, tips, short exercises, and reflection questions, as well as videos demonstrating how real classroom teachers strengthen girls' experiences as learners of mathematics. Use this book to better understand gender biases related to mathematics and improve girls' education: Understand the environmental barriers and gender stereotypes that create gender differences in mathematics performance and prevent many girls from learning mathematics at high levels. Learn how to foster a safe learning environment that encourages girls to take risks when they learn math. Focus on the mathematics gender achievement gap through three lenses: (1) perceptions, (2) possibilities, and (3) priorities. Apply the tasks, questions, and evidence (TQE) process to successfully plan and implement inclusive lessons that engage all students. Watch short videos of girls engaging meaningfully in mathematics learning. Contents: About the Authors Introduction Chapter 1: Mathematics Gender Achievement Gap Chapter 2: Perceptions About Girls in Mathematics Chapter 3: Possibilities for Girls in Mathematics Chapter 4: Priorities for Teaching Girls Mathematics Epilogue: Encouragement for Girls in Mathematics References and Resources Index
Mastering the basic facts for addition, subtraction, multiplication, and division is an essential goal for all students. Most educators also agree that success at higher levels of math hinges on this fundamental skill. But what's the best way to get there? Are flash cards, drills, and timed tests the answer? If so, then why do students go into the upper elementary grades (and beyond) still counting on their fingers or experiencing math anxiety? What does research say about teaching basic math facts so they will stick? In Math Fact Fluency, experts Jennifer Bay-Williams and Gina Kling provide the answers to these questions--and so much more. This book offers everything a teacher needs to teach, assess, and communicate with parents about basic math fact instruction, including The five fundamentals of fact fluency, which provide a research-based framework for effective instruction in the basic facts. Strategies students can use to find facts that are not yet committed to memory. More than 40 easy-to-make, easy-to-use games that provide engaging fact practice. More than 20 assessment tools that provide useful data on fact fluency and mastery. Suggestions and strategies for collaborating with families to help their children master the basic math facts. Math Fact Fluency is an indispensable guide for any educator who needs to teach basic facts. This approach to facts instruction, grounded in years of research, will transform students' learning of basic facts and help them become more confident, adept, and successful at math.
Ten amazing curves personally selected by one of today's most important math writers Curves for the Mathematically Curious is a thoughtfully curated collection of ten mathematical curves, selected by Julian Havil for their significance, mathematical interest, and beauty. Each chapter gives an account of the history and definition of a curve, providing a glimpse into the elegant and often surprising mathematics involved in its creation and evolution. In telling the ten stories, Havil introduces many mathematicians and other innovators, some whose fame has withstood the passing of years and others who have slipped into comparative obscurity. You will meet Pierre Bézier, who is known for his ubiquitous and eponymous curves, and Adolphe Quetelet, who trumpeted the ubiquity of the normal curve but whose name now hides behind the modern body mass index. These and other ingenious thinkers engaged with the challenges, incongruities, and insights to be found in these remarkable curves--and now you can share in this adventure. Curves for the Mathematically Curious is a rigorous and enriching mathematical experience for anyone interested in curves, and the book is designed so that readers who choose can follow the details with pencil and paper. Every curve has a story worth telling.
In Making Every Maths Lesson Count: Six principles to support great maths teaching, experienced maths teacher and lecturer Emma McCrea takes away the guesswork as she sums up the key components of effective maths teaching. Maths classrooms are incredibly complex places. At any given time, the factors influencing the effectiveness of your teaching are boundless and this can lead to relying on intuition as to what might work best. This book aims to signpost a route through this complexity. Writing in the practical, engaging style of the award-winning Making Every Lesson Count, Emma McCrea helps teachers to move beyond trial and error by sharing evidence-informed tips and suggestions on how they can nudge the impact of their teaching in the right direction. Making Every Maths Lesson Count is underpinned by six pedagogical principles challenge, explanation, modelling, practice, feedback and questioning and presents 52 high-impact strategies designed to streamline teacher workload and ramp up the level of challenge in the maths classroom. The book draws out the key findings from the latest research on memory, learning and motivation and each chapter features numerous worked examples to demonstrate the theory in action, together with a concluding series of questions that will help maths practitioners relate the content to their own classroom practice. Furthermore, Emma's writing offers clarity around the language of maths teaching and learning, and also delves into the finer points of how to identify and address any misconceptions that students may hold. Written for new and experienced practitioners alike, this gimmick-free guide provides sensible solutions to perennial problems and inspires a rich, challenging and evidence-based approach to the teaching of maths. Suitable for maths teachers of students aged 11 to 18 years, and for primary school maths specialists.
An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory--the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field's insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
An accessible, streamlined, and user-friendly approach to calculus Calculus is a beautiful subject that most of us learn from professors, textbooks, or supplementary texts. Each of these resources has strengths but also weaknesses. In Calculus Simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a "Goldilocks approach" to learning calculus: just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure. Fernandez begins by offering an intuitive introduction to the three key ideas in calculus--limits, derivatives, and integrals. The mathematical details of each of these pillars of calculus are then covered in subsequent chapters, which are organized into mini-lessons on topics found in a college-level calculus course. Each mini-lesson focuses first on developing the intuition behind calculus and then on conceptual and computational mastery. Nearly 200 solved examples and more than 300 exercises allow for ample opportunities to practice calculus. And additional resources--including video tutorials and interactive graphs--are available on the book's website. Calculus Simplified also gives you the option of personalizing your calculus journey. For example, you can learn all of calculus with zero knowledge of exponential, logarithmic, and trigonometric functions--these are discussed at the end of each mini-lesson. You can also opt for a more in-depth understanding of topics--chapter appendices provide additional insights and detail. Finally, an additional appendix explores more in-depth real-world applications of calculus. Learning calculus should be an exciting voyage, not a daunting task. Calculus Simplified gives you the freedom to choose your calculus experience, and the right support to help you conquer the subject with confidence. · An accessible, intuitive introduction to first-semester calculus · Nearly 200 solved problems and more than 300 exercises (all with answers) · No prior knowledge of exponential, logarithmic, or trigonometric functions required · Additional online resources--video tutorials and supplementary exercises--provided
This practical book is packed with tried-and-tested activities which draw on popular stories and rhymes, and use everyday materials and objects to help young children develop their understanding and enjoyment of mathematical concepts. By relating ideas of number, shape, size and pattern to everyday contexts, stories and experiences, Exploring Maths through Stories and Rhymes improves confidence, increases understanding and develops children's desire to engage with maths. Offering a range of creative and exciting activities to encourage hands-on learning and discussion, chapters: include a range of step-by-step activities which are easily adapted to varying needs, ages and abilities use popular stories and nursery rhymes as a way of engaging children with mathematical thinking show how inexpensive, everyday materials can be used to encourage learning include full colour photographs, photocopiable materials, vocabulary lists and key questions to help the reader get the most out of the ideas described This practical text will be a go-to resource for early years practitioners and students looking to adopt a creative approach to early years mathematics.
Create 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.
The year's finest mathematical writing from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2019 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice--and taking readers behind the scenes of today's hottest mathematical debates. In this volume, Moon Duchin explains how geometric-statistical methods can be used to combat gerrymandering, Jeremy Avigad illustrates the growing use of computation in making and verifying mathematical hypotheses, and Kokichi Sugihara describes how to construct geometrical objects with unusual visual properties. In other essays, Neil Sloane presents some recent additions to the vast database of integer sequences he has catalogued, and Alessandro Di Bucchianico and his colleagues highlight how mathematical methods have been successfully applied to big-data problems. And there's much, much more. In addition to presenting the year's most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable writings on mathematics. This is a must-read for anyone interested in where math has taken us--and where it is headed.
Drawing on decades of experience, Beep to Boom: The Development of Advanced Runtime Sound Systems for Games and Extended Realityis a rigorous, comprehensive guide to interactive audio runtime systems. Packed with practical examples and insights, the book explains each component of these complex geometries of sound. Using practical, lowest-common-denominator techniques, Goodwin covers soundfield creation across a range of platforms from phones to VR gaming consoles. Whether creating an audio system from scratch or building on existing frameworks, the book also explains costs, benefits and priorities. In the dynamic simulated world of games and extended reality, interactive audio can now consider every intricacy of real-world sound. This book explains how and why to tame it enjoyably.
The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book. Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology. The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.
Schooling matters. The authors' professional pursuits for over twenty-five years have been focused on measuring one key aspect of schooling: the curriculum - what students are expected to study and what they spend their time studying. This documents their conviction that schools and schooling play a vital and defining role in what students know and are able to do with respect to mathematics and science. This research examines seventeen international studies of mathematics and science to provide a nuanced comparative education study. Whilst including multiple measures of students' family and home backgrounds, these studies measure the substance of the curriculum students study which has been shown to have a strong relationship with student performance. Such studies have demonstrated the interrelatedness of student background and curriculum. Student background influences their opportunities to learn and their achievements, yet their schooling can have even greater significance.
Living Culturally Responsive Mathematics Education with/in Indigenous Communities explores challenges and possibilities across international contexts, involving Indigenous and non-Indigenous scholars, teachers and Elders responding to calls for improved education for all Indigenous students. Authors from Australia, New Zealand, United States, Micronesia, and Canada explore the nature of culturally responsive mathematics education. Chapters highlight the importance of relationships with communities and the land, each engaging critically with ideas of culturally responsive education, exploring what this stance might mean and how it is lived in local contexts within global conversations. Education researchers and teacher educators will find a living pathway where scholars, educators, youth and community members critically take-up culturally responsive teachings and the possibilities and challenges that arise along the journey. Contributors are: Dayle Anderson, Dora Andre-Ihrke, Jo-ann Archibald Q'um Q'um Xiiem, Maria Jose Athie-Martinez, Robin Averill, Trevor Bills, Beatriz A. Camacho, A. J. (Sandy) Dawson, Dwayne Donald, Herewini Easton, Tauvela Fale, Amanda Fritzlan, Florence Glanfield, Jodie Hunter, Roberta Hunter, Newell Margaret Johnson, Julie Kaomea, Robyn Jorgensen, Jerry Lipka, Lisa Lunney Borden, Dora Miura, Sharon Nelson-Barber, Cynthia Nicol, Gladys Sterenberg, Marama Taiwhati, Pania Te Maro, Jennifer S. Thom, David Wagner, Evelyn Yanez, and Joanne Yovanovich.
The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.
Series in Computational Physics Steven A. Gottlieb and Rubin H. Landau, Series Editors Introduction to Python for Science and Engineering This guide offers a quick and incisive introduction to Python programming for anyone. The author has carefully developed a concise approach to using Python in any discipline of science and engineering, with plenty of examples, practical hints, and insider tips. Readers will see why Python is such a widely appealing program, and learn the basics of syntax, data structures, input and output, plotting, conditionals and loops, user-defined functions, curve fitting, numerical routines, animation, and visualization. The author teaches by example and assumes no programming background for the reader. David J. Pine is the Silver Professor and Professor of Physics at New York University, and Chair of the Department of Chemical and Biomolecular Engineering at the NYU Tandon School of Engineering. He is an elected fellow of the American Physical Society and American Association for the Advancement of Science (AAAS), and is a Guggenheim Fellow.
By the end of this decade, the U.S. economy will annually create hundreds of thousands of new jobs requiring a bachelor's degree in STEM fields, particularly computer science. This increasing need for computer scientists, coupled with an inconsistent agenda for managing dramatic shifts in the demographic landscape of higher education, compromises our competitiveness in scientific discovery and innovation. As higher education seeks to address this issue, the need for more culturally responsive approaches to undergraduate STEM teaching also increases. This book uses the power of reflection, storytelling, and data to holistically demonstrate the effectiveness of a novel professional development intervention for STEM faculty - Teaching to Increase Diversity and Equity in STEM, or TIDES - that significantly increased faculty self-efficacy in implementing culturally responsive pedagogies. In it, the editors combine the authentic voices of authors from multiple institutional contexts and individual worldviews to assimilate and synthesize broad theoretical concepts into practice in usable ways, while also offering concrete applicable examples of strategies and solutions that serve as an important comprehensive reference for all undergraduate educators and administrators. This practical guide provides a durable platform for building capacity in understanding of the cultural complexities and institutional realities of recruiting and retaining diverse students in STEM, particularly the computer sciences.
Viewing the maths lesson as an opportunity for pupils to develop a deep understanding of mathematical concepts and relationships, rather than simply to follow fixed processes that lead to 'the answer', is increasingly recognised as the pinnacle of best practice in maths education. In this book, Peter Mattock builds on this approach and explores in colourful detail a variety of visual tools and techniques that can be used in the classroom to deepen pupils' understanding of mathematical operations. Covering vectors, number lines, algebra tiles, ordered-pair graphs and many other representations, Visible Maths equips teachers with the confidence and practical know-how to take their pupils' learning to the next level. The book looks at the strengths, and flaws, of each representation so that both primary and secondary school teachers of maths can make informed judgements about which representations will benefit their pupils. The exploration begins at the very basics of number and operation, and extends all the way through to how the representations apply to algebraic expressions and manipulations. As well as sharing his expert knowledge on the subject, Peter draws on relevant research and his own experience of using the representations in order to support teachers in understanding how these representations can be implemented effectively. Visible Maths also includes a glossary covering the key mathematical terms, as well as a chapter dedicated to answering some of the questions that may arise from the reading of the book. Furthermore, the accompanying diagrams and models are displayed in full colour to illustrate the conceptual takeaways and teaching techniques discussed. Suitable for teachers of maths in primary and secondary school settings.
The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Godel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights--outside of logic when possible--either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
This work seeks to contribute to the national dialogue regarding best practices in teaching middle school mathematics. The authors are committed to improving mathematics achievement and opportunities for students whose inherited circumstances place them at a perceptible disadvantage. Most refer to said students as "risks." We hold the position that these students, irrespective of their backgrounds, possess Hidden or Unmet Potential and the unveiling of their potential can be accelerated when they are exposed to high-quality mathematics teaching. This book is a practitioner's guide to creative mathematics activities centered on algebraic, proportional, and geometric reasoning aligned with mathematics standards. This approach has the potential to accelerate the mathematical confidence and accentuate the mathematical proficiencies of students.
Data manipulation and analysis are far easier than you might imagine--in fact, using tools that come standard with your desktop computer, you can learn how to extract, manipulate, and analyze data (and metadata) of any size and complexity. In this handbook, data wizard Banerjee will familiarize you with easily digestible but powerful concepts that will enable you to feel confident working with data. With his expert guidance, you'll learn how to use a single-word command to sort files of any size by any criteria, identify duplicates, and perform numerous other common library tasks; understand data formats, delimited text and CSV files, XML, JSON, scripting, and other key components of data; undertake more sophisticated tasks such as comparing files, converting data from one format to another, reformatting values, combining data from multiple files, and communicating with APIs (Application Programming Interfaces); save time and stress through simple techniques for transforming text, recognizing symbols that perform important tasks, a Regular Expression cheat sheet, a glossary, and other tools. Library technologists and those involved in maintaining and analyzing data and metadata will find Banerjee's resource essential.
Recent groundbreaking discoveries in physics, including the discovery of the Higgs Boson and gravitational waves, have relied on chi-squared analysis and model testing, a data analysis method. This is the first book to make chi-squared model testing accessible to students in introductory physics lab courses and others who need to learn this method, such as beginning researchers in astrophysics and particle physics, beginners in data science, and lab students in other experimental sciences. For over a decade, Harvard University's introductory physics lab sequence has made chi-squaredmodel testing its central theme. Written by two faculty members, the book is based on years of experience teaching students learn how to think like scientists by testing their models using chi-squared analysis. By including uncertainties in the curve fitting technique, chi-squared data analysis improves on the centuries old ordinary least squares and linear regression methods and combines best fit parameter estimation and model testing in one method. A toolkit of essential statistical and experimental concepts is developed from the ground up with novel features to interest even those familiar with the material. The presentation of one and two parameter chi-squared model testing, requiring only elementary probability and algebra, is followed by case studies that apply the methods to simple introductory physics lab experiments. More challenging topics requiring calculus are addressed in an advanced topic chapter. This self-contained and student-friendly introduction includes a glossary, end of chapter problems with complete solutions, and software scripts available in several popular programming languages that the reader can use for chi-squared model testing.
The R Companion to Elementary Applied Statistics includes traditional applications covered in elementary statistics courses as well as some additional methods that address questions that might arise during or after the application of commonly used methods. Beginning with basic tasks and computations with R, readers are then guided through ways to bring data into R, manipulate the data as needed, perform common statistical computations and elementary exploratory data analysis tasks, prepare customized graphics, and take advantage of R for a wide range of methods that find use in many elementary applications of statistics. Features: Requires no familiarity with R or programming to begin using this book. Can be used as a resource for a project-based elementary applied statistics course, or for researchers and professionals who wish to delve more deeply into R. Contains an extensive array of examples that illustrate ideas on various ways to use pre-packaged routines, as well as on developing individualized code. Presents quite a few methods that may be considered non-traditional, or advanced. Includes accompanying carefully documented script files that contain code for all examples presented, and more. R is a powerful and free product that is gaining popularity across the scientific community in both the professional and academic arenas. Statistical methods discussed in this book are used to introduce the fundamentals of using R functions and provide ideas for developing further skills in writing R code. These ideas are illustrated through an extensive collection of examples. About the Author: Christopher Hay-Jahans received his Doctor of Arts in mathematics from Idaho State University in 1999. After spending three years at University of South Dakota, he moved to Juneau, Alaska, in 2002 where he has taught a wide range of undergraduate courses at University of Alaska Southeast.
Feelings of apprehension and fear brought on by mathematical performance can affect correct mathematical application and can influence the achievement and future paths of individuals affected by it. In recent years, mathematics anxiety has become a subject of increasing interest both in educational and clinical settings. This ground-breaking collection presents theoretical, educational and psychophysiological perspectives on the widespread phenomenon of mathematics anxiety. Featuring contributions from leading international researchers, Mathematics Anxiety challenges preconceptions and clarifies several crucial areas of research, such as the distinction between mathematics anxiety from other forms of anxiety (i.e., general or test anxiety); the ways in which mathematics anxiety has been assessed (e.g. throughout self-report questionnaires or psychophysiological measures); the need to clarify the direction of the relationship between math anxiety and mathematics achievement (which causes which). Offering a revaluation of the negative connotations usually associated with mathematics anxiety and prompting avenues for future research, this book will be invaluable to academics and students in the field psychological and educational sciences, as well as teachers working with students who are struggling with mathematics anxiety
Number Theory Revealed: A Masterclass acquaints enthusiastic students with the ``Queen of Mathematics''. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beauti
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