Products related to Mathematics:
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Understanding Pure Mathematics
America's healthcare system in the 21st century faces a variety of pressures and challenges, not the least of which is that posed by the increasingly multicultural nature of American society itself.Large numbers among the Hmong, immigrants from the landlocked Asian nation of Laos, continue to prefer their own ancient medical traditions.That these Hmong Americans should continue to adhere to a tradition of folk medicine, rather than embrace the modern healthcare system of America, poses questions that must be answered.This book takes up the task of examining Hmong American concepts of health, illness and healing, and looks at the Hmong American experience with conventional medicine.In so doing, it identifies factors that either obstruct or enable healthcare delivery to the Hmong, specifically a target sample of Hmong Americans resident in Colorado.Drawing upon scientific methods of data collection, the research reveals attitudes currently held by a group of American citizens toward health and medicine which run the gamut from the very modern to those which have prevailed in the highlands of South East Asia for centuries.
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Primary Mathematics: Knowledge and Understanding
All the subject knowledge you need to teach primary Mathematics. Secure subject knowledge and understanding is the foundation of confident, creative and effective teaching.To help you master this, this comprehensive text includes subject knowledge from each part of the primary Mathematics curriculum and comes with a wide range of resources so you can test your knowledge as you progress through the course. an online Mathematics subject knowledge audit with the ability to share results with lecturersnew end of chapter self-assessment questions Interactive tasksa Maths subject knowledge checklistuseful weblinks for primary Maths teachingRecommended further reading The 9th edition has been updated in line with new guidance and framework updates, inluding the new EYFS, as well as links to new research.
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Understanding and Teaching Primary Mathematics
Written by an experienced teacher and teacher educator with widespread experience of teaching mathematics in the UK and internationally, the bestselling Understanding and Teaching Primary Mathematics combines pedagogy and subject knowledge to build confidence and equip you with all the skills and know-how you need to successfully teach mathematics to children of any age. This fifth edition has been completely updated to include the latest developments in learning and teaching mathematics, including mastery approaches, a Singapore approach and the use of manipulatives in the primary classroom.There are new activities for you to use in your teaching and links to the dedicated website, which contains materials to develop a personal portfolio, more activities to use in your classroom and presentations and podcasts to support your further professional development to reflect the latest research developments.It covers all areas of the mathematics curriculum and will allow you to become a confident teacher of mathematics through developing your own subject knowledge. Tony draws on his many years of experience teaching mathematics and working with early career teachers to share classroom activities which will support you in learning mathematics through engaging in mathematical activity with your learners.
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Yes, but why? Teaching for understanding in mathematics
Getting the right answers in maths is only half the problem.Understanding why what you’re doing works is the part that often stumps students and teachers alike.The essential guide for mathematics teachers and those training to teach, Yes, but why? answers all your questions, and sheds light on the hidden connections between everything in mathematics at school. This second edition includes: · A new ‘Test yourself’ feature in every chapter · More coverage of the four operations · Enhanced discussion of fractions and proportionality · Downloadable figures for use in the classroom
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What is your question for understanding mathematics?
My question for understanding mathematics is "Why does this concept work the way it does?" I am always curious about the underlying principles and reasons behind mathematical concepts and operations. Understanding the "why" behind the "how" helps me grasp the concept more deeply and apply it to different situations.
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What is the relationship to mathematics?
Mathematics is the study of numbers, shapes, and patterns, and it is used to solve problems and understand the world around us. It is a fundamental tool in many fields such as science, engineering, economics, and computer science. Mathematics provides a framework for logical reasoning, problem-solving, and critical thinking, and it is essential for understanding and analyzing data. Overall, mathematics plays a crucial role in our daily lives and in the advancement of human knowledge and technology.
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How can I develop mathematical understanding and interest in mathematics?
To develop mathematical understanding and interest in mathematics, it is important to practice regularly and engage with the material in a variety of ways. This can include solving problems, working on puzzles, and exploring real-world applications of mathematical concepts. Additionally, seeking out resources such as books, online tutorials, and educational videos can provide different perspectives and help deepen understanding. Finally, finding a supportive community of peers or mentors who share a passion for mathematics can provide motivation and encouragement to continue learning and exploring the subject.
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How can I improve my understanding of trigonometric functions in mathematics?
To improve your understanding of trigonometric functions in mathematics, you can start by familiarizing yourself with the basic definitions and properties of sine, cosine, and tangent functions. Practice solving various types of trigonometric equations and problems to build your problem-solving skills. Additionally, explore real-world applications of trigonometric functions, such as in physics, engineering, and architecture, to see how they are used in practical scenarios. Finally, seek out resources such as textbooks, online tutorials, and practice problems to reinforce your understanding and mastery of trigonometric functions.
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Understanding Proof : Explanation, Examples and Solutions for A-Level Mathematics and A-Level Further Mathematics
Proof is central to the new unified A-Level curriculum and to Further Maths and indeed, all mathematical thinking.This essential revision and reinforcement text provides a guide to proof for students from Year 1 to Undergraduate...and for their teachers too. Expertly written by Tom Bennison and Ed Hall, this book is an essential teaching, learning and revision guide, with a free online version available to all purchasers for a year. Compatible with the Tarquin A-Level Textbooks.
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Quantum Mechanics : Axiomatic Approach and Understanding Through Mathematics
This book provides a clear understanding of quantum mechanics (QM) by developing it from fundamental postulates in an axiomatic manner, as its central theme.The target audience is physics students at master’s level.It avoids historical developments, which are piecemeal, not logically well knitted, and may lead to misconceptions.Instead, in the present approach all of QM and all its rules are developed logically starting from the fundamental postulates only and no other assumptions. Specially noteworthy topics have been developed in a smooth contiguous fashion following the central theme.They provide a new approach to understanding QM. In most other texts, these are presented as disjoint separate topics.Since the reader may not be acquainted with advanced mathematical topics like linear vector space, a number of such topics have been presented as “mathematical preliminary.” Standard topics, viz. derivation of uncertainty relations, simple harmonic oscillator by operator method,bound systems in one and three dimensions, angular momentum, hydrogen-like atom, and scattering in one and three dimensions, are woven into the central theme. Advanced topics like approximation methods, spin and generalized angular momenta, addition of angular momenta, and relativistic quantum mechanics have been reserved for Volume II. ?
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Understanding Analysis and its Connections to Secondary Mathematics Teaching
Getting certified to teach high school mathematics typically requires completing a course in real analysis.Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way.This textbook is our attempt to change the narrative.It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching.This book is a companion text. It is intended to be a supplemental resource, used in conjunction with a more traditional real analysis book. The textbook is based on our efforts to identify ways that studying real analysis can provide future teachers with genuine opportunities to think about teaching secondary mathematics.It focuses on how mathematical ideas are connected to the practice of teaching secondary mathematics–and not just the content of secondary mathematics itself.Discussions around pedagogy are premised on the belief that the way mathematicians do mathematics can be useful for how we think about teaching mathematics.The book uses particular situations in teaching to make explicit ways that the content of real analysis might be important for teaching secondary mathematics, and how mathematical practices prevalent in the study of real analysis can be incorporated as practices for teaching.This textbook will be of particular interest to mathematics instructors–and mathematics teacher educators–thinking about how the mathematics of real analysis might be applicable to secondary teaching, as well as to any prospective (or current) teacher who has wondered about what the purpose of taking such courses could be.
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Transforming Primary Mathematics : Understanding classroom tasks, tools and talk
Fully updated to reflect the new curriculum, the revised edition of Transforming Primary Mathematics sets out key theories and cutting-edge research in the field to enable teachers to take a fresh look at how they teach mathematics.The book encourages teachers to reflect on their own beliefs and values about mathematics, and asks them to question whether their current methods meet the needs of all learners, and the challenge of having high expectations for all.It provides clear, practical approaches to help implement fundamental change in classroom environments, and offers motivational teaching styles to ensure meaningful mathematics learning.Chapters take an inspiring, sometimes controversial, and often unconventional look at the subject of mathematics, by: endorsing the use of a ‘new mathematics’ – one based on problem solving, modelling, inquiry and reasoning, not on abstract rules, memorising, and regurgitation arguing that there is more to maths teaching than ‘death by a thousand worksheets’ challenging norms, such as the practice of sorting children into sets based on their perceived mathematical ability asking whether mathematical ability is innate or a result of social practices examining what a ‘mastery’ approach might entail highlighting the role of variation in supporting learning advocating an environment where teachers are encouraged to take risks. Transforming Primary Mathematics is for all primary school teachers who want to make mathematics welcoming, engaging, inclusive and successful.
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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 is the connection between mathematics and reality?
Mathematics is often described as the language of the universe because it provides a way to describe and understand the patterns and structures that exist in the world around us. Many aspects of reality can be modeled and predicted using mathematical concepts and equations. From the motion of planets to the growth of populations, mathematics helps us make sense of the world and make informed decisions. In this way, mathematics serves as a powerful tool for exploring and explaining the complexities of reality.
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What is the connection between mathematics and thermodynamics?
Mathematics plays a crucial role in thermodynamics as it provides the tools and language necessary to describe and analyze the behavior of thermodynamic systems. Equations derived from mathematical principles, such as the laws of thermodynamics, are used to quantify energy transfer, work, and heat exchange within a system. Mathematical models are also used to predict the behavior of complex systems, helping scientists and engineers optimize processes and design efficient systems in the field of thermodynamics. In essence, mathematics provides the framework for understanding and manipulating the principles of thermodynamics.
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What is the connection between interest and mathematics?
Interest and mathematics are connected in various ways. For example, calculating compound interest involves using mathematical formulas and concepts such as exponents and logarithms. Additionally, understanding the concept of simple interest and how it is calculated requires basic arithmetic skills. Furthermore, mathematical concepts such as percentages and fractions are often used in financial calculations related to interest. Overall, a strong understanding of mathematics is essential for comprehending and calculating various types of interest.
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