Products related to Mathematics:
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Teaching Mathematics Using Interactive Mapping
Teaching Mathematics Using Interactive Mapping offers novel ways to learn basic math topics such as simple relational measures or measuring hierarchies through customized interactive mapping activities.These activities focus on interactive web-based Geographic Information System (GIS) and are relevant to today’s problems and challenges.Written in a guided, hands-on, understandable manner, all activities are designed to build practical and problem-solving skills that rest on mathematical principles and move students from thinking about maps as references that focus solely on "where is" something, to analytical tools, focusing primarily on the "whys of where." Success with this transition through interaction permits most readers to master mathematical concepts and GIS tools. FEATURESOffers custom-designed geographical activities to fit with specific mathematical topicsHelps students become comfortable using mathematics in a variety of professionsProvides an innovative, engaging, and practical set of activities to ease readers through typically difficult, often elementary, mathematical topics: fractions, the distributive law, and much moreUses web-based GIS maps, apps, and other tools and data that can be accessed on any device, anywhere, at any time, requiring no prior GIS backgroundWritten by experienced teachers and researchers with lifelong experience in teaching mathematics, geography, and spatial analysisFeatures an accompanying Solution Guide, available on the book's product page, that is beneficial for instructors, students, and other readers as an aid to gauging progress. This textbook applies to undergraduate and graduate students in universities and community colleges including those in basic mathematics courses, as well as upper-level undergraduate and graduate students taking courses in geographic information systems, remote sensing, photogrammetry, geography, geodesy, information science, engineering, and geology.Professionals interested in learning techniques and technologies for collecting, analyzing, managing, processing, and visualizing geospatial datasets will also benefit from this book as they refresh their knowledge in mathematics.
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Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics
This book investigates the practicability and effectiveness of the concept map as a tool for assessing students’ conceptual understanding in mathematics. The author first introduces concept mapping and then employs it to investigate students’ conceptual understanding of four different mathematical topics.Alongside traditional scoring methods, she adopts Social Network Analysis, a new technique, to interpret student-constructed concept maps, which reveals fresh insights into the graphic features of the concept map and into how students connect mathematical concepts.By comparing two traditional school tests with the concept map, she examines its concurrent validity and discusses its strengths and drawbacks from the viewpoint of assessing conceptual understanding.With self-designed questionnaires, interviews, and open-ended writing tasks, she also investigates students and teachers’ attitudes toward concept mapping and describes the implications these findings may have for concept mapping’s use in school and for further research on the topic. Scholars and postgraduate students of mathematics education and teachers interested in concept mapping or assessing conceptual understanding in classroom settings will find this book an informative, inspiring, and overall valuable addition to their libraries.
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Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics
This book investigates the practicability and effectiveness of the concept map as a tool for assessing students’ conceptual understanding in mathematics. The author first introduces concept mapping and then employs it to investigate students’ conceptual understanding of four different mathematical topics.Alongside traditional scoring methods, she adopts Social Network Analysis, a new technique, to interpret student-constructed concept maps, which reveals fresh insights into the graphic features of the concept map and into how students connect mathematical concepts.By comparing two traditional school tests with the concept map, she examines its concurrent validity and discusses its strengths and drawbacks from the viewpoint of assessing conceptual understanding.With self-designed questionnaires, interviews, and open-ended writing tasks, she also investigates students and teachers’ attitudes toward concept mapping and describes the implications these findings may have for concept mapping’s use in school and for further research on the topic. Scholars and postgraduate students of mathematics education and teachers interested in concept mapping or assessing conceptual understanding in classroom settings will find this book an informative, inspiring, and overall valuable addition to their libraries.
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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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What is a mapping in mathematics?
In mathematics, a mapping refers to a relation between two sets, where each element in the first set is associated with exactly one element in the second set. This association is often represented by a rule or function that assigns each input value to a unique output value. Mappings are used to describe how elements from one set are transformed or related to elements in another set, and they are fundamental to many areas of mathematics, including algebra, calculus, and geometry. In essence, a mapping is a way of describing how elements from one set correspond to elements in another set.
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What is a derivative mapping in mathematics?
In mathematics, a derivative mapping is a function that assigns to each point in the domain of a given function its derivative at that point. It is a way of representing how the function changes at each point in its domain. The derivative mapping is often used to study the rate of change of a function, determine critical points, and analyze the behavior of the function at specific points. It is a fundamental concept in calculus and plays a crucial role in various mathematical applications.
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What is a mapping rule in mathematics?
A mapping rule in mathematics is a set of instructions that defines how elements from one set are paired with elements from another set. It specifies the relationship between the elements of the two sets, often using a formula or a set of conditions. Mapping rules are used to describe functions, transformations, and other mathematical operations that relate one set of values to another. They are essential for understanding the connections between different mathematical concepts and for solving problems in various areas of mathematics.
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How difficult is a study of robotics and automation?
The study of robotics and automation can be challenging due to its interdisciplinary nature, requiring knowledge in fields such as mechanical engineering, electrical engineering, computer science, and control systems. Additionally, the rapid advancements in technology and the need to stay updated with the latest developments can add to the complexity of the study. However, with dedication, problem-solving skills, and a strong foundation in mathematics and physics, students can overcome these challenges and excel in the field of robotics and automation.
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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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Construction Mathematics
Construction Mathematics is an introductory level mathematics text, written specifically for students of construction and related disciplines. Learn by tackling exercises based on real-life construction maths.Examples include: costing calculations, labour costs, cost of materials and setting out of building components. Suitable for beginners and easy to follow throughout. Learn the essential basic theory along with the practical necessities. The second edition of this popular textbook is fully updated to match new curricula, and expanded to include even more learning exercises.End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and three detailed assignments based on practical tasks give students the opportunity to apply all the knowledge they have gained. Construction Mathematics addresses all the mathematical requirements of Level 2 construction NVQs from City & Guilds/CITB and Edexcel courses, including the BTEC First Diploma in Construction.Additional coverage of the core unit Mathematics in Construction and the Built Environment from BTEC National Construction, Civil Engineering and Building Services courses makes this an essential revision aid for students who do not have Level 2 mathematics experience before commencing their BTEC National studies.This is also the ideal primer for any reader who wishes to refresh their mathematics knowledge before going into a construction HNC or BSc.
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Engineering Mathematics
The best-selling introductory mathematics textbook for students on engineering and science degree and pre-degree courses.Sales stand at more than half a million copies world-wide. Its unique programmed approach really works! Many thousands of students have found that they understand and excel through using this book.It takes you through the mathematics in a step-by-step fashion with a wealth of examples and exercises.The text demands that you engage with it by asking you to complete steps that you should be able to manage from previous examples or knowledge you have acquired, while carefully introducing new steps.By working with the authors through the examples, you become proficient as you go.By the time you come to trying examples on your own, confidence is high. Aimed at undergraduates on Foundation and First Year degree programmes in all Engineering disciplines and Science.The Foundation section covers mathematics from GCSE onwards to allow for revision and gap-filling, and so means the book can be used for a range of abilities and all levels of access. New to this Edition:- A general revision of the entire contents- In Matrices an emphasis on eigenvalues and eigenvectors and the introduction of the Cayley–Hamilton theorem- New review summaries plus a new easy reference to help check back when you need more help- Key chapters improved yet further as a result of detailed student feedbackAccompanying online resources for this title can be found at bloomsburyonlineresources.com/engineering-mathematics.These resources are designed to support teaching and learning when using this textbook and are available at no extra cost.
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Can you ask me a question about linear mapping in mathematics?
Sure! Can you explain the concept of a linear mapping and provide an example of how it is used in real-world applications?
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Business mathematics or pure mathematics?
It ultimately depends on your career goals and interests. Business mathematics focuses on practical applications in business and finance, such as accounting, economics, and statistics. Pure mathematics, on the other hand, delves into theoretical concepts and abstract reasoning, with applications in fields like physics, engineering, and computer science. If you are interested in pursuing a career in business or finance, business mathematics may be more relevant. However, if you are passionate about theoretical concepts and problem-solving, pure mathematics may be a better fit for you.
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What type of mathematics is meant: commercial mathematics or technical mathematics?
The type of mathematics meant in this context is commercial mathematics. Commercial mathematics focuses on practical applications of mathematics in business and finance, such as calculating interest, profit and loss, and managing budgets. It is used in everyday business transactions and financial decision-making. Technical mathematics, on the other hand, is more focused on the theoretical and abstract aspects of mathematics, often used in fields such as engineering, physics, and computer science.
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Which academic subjects involve a lot of mathematics but no technology?
Subjects like pure mathematics, theoretical physics, and certain branches of philosophy often involve a lot of mathematics but minimal or no technology. These disciplines rely on mathematical principles and reasoning to explore abstract concepts and theories without the need for technological tools or applications. The focus is on developing mathematical theories and proofs rather than utilizing technology for practical applications.
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