Products related to Mathematics:
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Sustainability and Global Challenges : Analysis by Mathematics of Uncertainty
This book focuses on the relationship between Artificial Intelligence (AI) and the Sustainable Development Goals (SDGs).One of the most important issues the world is facing is sustainability.All members of the United Nations adopted Agenda 2030 and the Sustainable Development Goals.Associated with the SDGs are many serious global problems.These problems include climate change, global poverty, global hunger, human trafficking, homelessness, biodiversity, extinction, and terrorism.The author’s purpose is to develop a textbook concerning the SDGs and how they relate to these problems.A recent issue has emerged. That is Artificial Intelligence. AI has tremendous potential to do both good and harm.The book is designed in such a way that it can be used as an undergraduate textbook on sustainability.Consequently, the mathematics involved is kept at a reasonable level.One of the author’s goals is to prepare the reader to further their study of global issues.In particular, to provide them the background needed to examine the three books in the Springer Series Studies in Systems, Decision and Control, volumes 299, 353, and 391.Exercises are provided in the text as well as an instructor's manual.Some topics examined in the book include country achievement of the SDGs, the relationship between human trafficking and the SDGs, climate change, and global problems mentioned above.
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Fashion and Environmental Sustainability : Entrepreneurship, Innovation and Technology
The wide range of topics that the book covers are organised into sections reflecting a cradle to grave view of how entrepreneurial, innovative, and tech-savvy approaches can advance environmental sustainability in the fashion sector.These sections include: sustainable materials; innovation in design, range planning and product development; sustainable innovations in fashion supply chains; sustainable innovations in fashion retail and marketing; sustainable alternatives for end-of-life and circular economy initiatives; and more sustainable alternative fashion business models.
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Troubling Notions of Global Citizenship and Diversity in Mathematics Education
This edited volume explores how mathematics education is re/configured in relation to its past, present, and future when the rhetoric of critical global citizenship education is being applied to diverse local settings. Drawing upon diverse theoretical and methodological traditions across the globe including countries in South America, Asia, Australia, and Europe, each chapter challenges and, eventually, troubles the wide circulation of a universal imagery of citizenship based on mathematical competence in not only curriculum, school reforms and policy, but also in teaching and learning practices.Troubling the Euro-centric and global notions of citizenship and diversity, the book foregrounds local practices in mathematics education to portray a broader picture for the current problems of equity, social justice, and democracy.The book also engages with critical discussions on how ‘citizens’ and ‘noncitizens’ are being fabricated in the context of educational policies and specific mathematical practices. First of its kind, to trouble what is at stake when mathematics education is framed within the discourses of citizenship globally (through challenging and problematizing what is understood as ‘normal’), this book will be of relevance to scholars, academics, and researchers in the field of sociology of education, anthropology of education, philosophy of education, mathematics education, citizenship studies and international and comparative education.
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The Mathematical Resilience Book : How Everyone Can Progress in Mathematics
This book is about mathematical resilience: what it is, why it is important, how learners can develop it and how teachers can teach in ways that help learners become mathematically resilient.Teaching for mathematical resilience helps mitigate mathematics anxiety, which is often hidden from view as poor behaviour, avoidance and underachievement and can have long-term implications especially for people’s employment opportunities and career progression. Written by a team of expert contributors that specialise in teaching every age of learner from primary school through to adult, the book shows that everyone can progress in mathematics if they have Mathematical Resilience and sets out practical strategies to support learners in developing this important attribute.Chapters cover:How to measure mathematics anxiety and resilienceTools for building mathematical resilienceBuilding a resilient mathematical learning environmentThe power of coachingWorking with groups, individuals and support staffSupporting parents and carersThe world faces huge challenges that involve mathematical thinking, including climate change and economic injustice.This valuable text shows teachers how they can help learners to engage positively with mathematical learning and reach their full potential.
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What are growth processes in mathematics?
Growth processes in mathematics refer to the development and expansion of mathematical concepts, skills, and understanding over time. This can involve building on foundational knowledge, mastering new techniques, and making connections between different areas of mathematics. Growth processes also include the ability to solve increasingly complex problems, think critically, and apply mathematical reasoning in various contexts. Ultimately, growth in mathematics is a continuous journey of learning and improvement that leads to a deeper and more comprehensive understanding of the subject.
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Is exponential growth complicated in mathematics?
Exponential growth can be complicated in mathematics because it involves a constant rate of change over time, leading to rapidly increasing values. The concept of exponential growth is often studied in calculus and requires understanding of functions, limits, and derivatives. Additionally, exponential growth can be challenging to work with because it can lead to very large numbers in a short amount of time, making calculations and predictions more complex. Overall, while the concept of exponential growth may seem straightforward, its mathematical implications and applications can be quite intricate.
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What is exponential growth in mathematics?
Exponential growth in mathematics refers to a pattern of growth where the rate at which something increases is proportional to its current value. This means that as the quantity being measured grows, the rate of growth also increases. Exponential growth is often represented by an equation in the form of y = a * (1 + r)^x, where 'a' is the initial value, 'r' is the growth rate, 'x' is the time, and 'y' is the final value. This type of growth leads to rapid and accelerating increases over time.
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How do growth processes work in mathematics?
In mathematics, growth processes refer to the way in which quantities increase or decrease over time or with respect to another variable. These processes can be modeled using various mathematical functions such as linear, exponential, or logarithmic functions. Growth processes can be described by equations that show how a quantity changes in relation to another variable, allowing for predictions and analysis of the behavior of the system. Understanding growth processes in mathematics is essential for various applications such as population growth, compound interest, and exponential decay.
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A Critical Introduction to Mathematics Education : Human Diversity and Equitable Instruction
The second edition of Mark Wolfmeyer’s award-winning primer offers future and current math teachers an introduction to the connections that exist between mathematics and a critical orientation to education, one that accounts for race, social class, gender, sexuality, language diversity, and ability. Expanded and updated from the first edition, this book demonstrates how elements of human diversity and intersectionality have real effects in the mathematics classroom, and prepares teachers with a more critical math education that increases accessibility and equity for all students.By refocusing math learning toward the goals of democracy and social and environmental crises, the book also introduces readers to broader contemporary school policy and reform debates and struggles, especially in light of Covid-19 and the ongoing struggle for racial equity. Featuring concrete strategies and examples in both formal and informal educational settings, as well as discussion questions for teachers and students, text boxes with examples of critical education in practice, a glossary, and suggestions for further reading, Mark Wolfmeyer shows how critical mathematics education can be put into practice, relevant for undergraduate and graduate students in education, current teachers, and teacher educators.
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Mathematics and Computation : A Theory Revolutionizing Technology and Science
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophyMathematics 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 beyondHigh-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific disciplineHistorical accounts of the evolution and motivations of central concepts and modelsA broad view of the theory of computation's influence on science, technology, and societyExtensive bibliography
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Thinking about Mathematics : The Philosophy of Mathematics
This unique text by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections.The first describes questions and issues about mathematics that have motivated philosophers almost since the beginning of intellectual history.Part II is an historical survey, discussing the role of mathematics in such thinkers as Plato, Aristotle, Kant, and Mill.The third section covers the three major positions, and battle lines, throughout the twentieth century: that mathematics is logic (logicism), that the essence of mathematics is the rule-governed manipulation of characters (formalism), and a revisionist philosophy that focuses on the mental activity of mathematics (intuitionism).Finally, Part IV looks at contemporary positions and work which brings the reader up-to-date on the discipline.Thinking about Mathematics is accessible to those with little background in either mathematics or philosophy.It is aimed at students and professionals in mathematics who have little contact with academic philosophy and at philosophy students and other philosophers who forgot much of their mathematics.
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Vedic Mathematics
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How does exponential growth work in mathematics?
Exponential growth in mathematics refers to a pattern of growth where a quantity increases at a constant percentage rate over a period of time. This means that the rate of growth itself increases over time, leading to a rapid increase in the quantity being measured. In mathematical terms, exponential growth is represented by an equation of the form y = a * (1 + r)^t, where y is the final amount, a is the initial amount, r is the growth rate, and t is the time. This type of growth is commonly seen in natural phenomena such as population growth, compound interest, and the spread of diseases.
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What is a growth task in mathematics?
A growth task in mathematics is a problem or activity that challenges students to think critically, apply their mathematical knowledge, and develop their problem-solving skills. These tasks often require students to go beyond rote memorization and apply mathematical concepts in new and unfamiliar situations. By engaging with growth tasks, students can deepen their understanding of mathematical concepts and develop a growth mindset towards learning mathematics.
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What is the strongest growth in mathematics?
The strongest growth in mathematics is currently in the field of data science and machine learning. With the increasing availability of large datasets and the development of powerful computational tools, there has been a surge in the application of mathematical techniques to analyze and extract insights from data. This has led to advancements in areas such as statistical modeling, optimization, and algorithm development, making data science and machine learning one of the fastest-growing and most impactful areas of mathematics today.
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What are exponential growth models in mathematics?
Exponential growth models in mathematics are used to represent situations where a quantity grows at a constant percentage rate over time. The general form of an exponential growth model is given by the equation y = a * (1 + r)^t, where y is the final amount, a is the initial amount, r is the growth rate, and t is the time. Exponential growth models are commonly used in finance, biology, and other fields to describe population growth, compound interest, and other phenomena that exhibit rapid and continuous growth. These models are important for understanding and predicting the behavior of dynamic systems over time.
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