Mathematics And The Real World

Author : Zvi Artstein
Publisher : Prometheus Books
Page : 368 pages
File Size : 40,5 Mb
Release : 2014-09-02
Category : Mathematics
ISBN : 9781616145460

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Mathematics and the Real World by Zvi Artstein Pdf

In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between mathematics and the real world from ancient times to the present. The author then describes some of the contemporary applications of mathematics—in probability theory, in the study of human behavior, and in combination with computers, which give mathematics unprecedented power. The author concludes with an insightful discussion of why mathematics, for most people, is so frustrating. He argues that the rigorous logical structure of math goes against the grain of our predisposed ways of thinking as shaped by evolution, presumably because the talent needed to cope with logical mathematics gave the human race as a whole no evolutionary advantage. With this in mind, he offers ways to overcome these innate impediments in the teaching of math.

Author : W.D. Wallis
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 46,9 Mb
Release : 2013-09-20
Category : Mathematics
ISBN : 9781461485292

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Mathematics in the Real World by W.D. Wallis Pdf

Mathematics in the Real World is a self-contained, accessible introduction to the world of mathematics for non-technical majors. With a focus on everyday applications and context, the topics in this textbook build in difficulty and are presented sequentially, starting with a brief review of sets and numbers followed by an introduction to elementary statistics, models, and graph theory. Data and identification numbers are then covered, providing the pathway to voting and finance. Each subject is covered in a concise and clear fashion through the use of real-world applications and the introduction of relevant terminology. Many sample problems – both writing exercises and multiple-choice questions – are included to help develop students’ level of understanding and to offer a variety of options to instructors. Covering six major units and outlining a one-semester course, Mathematics in the Real World is aimed at undergraduate liberal art students fulfilling the mathematics requirement in their degree program. This introductory text will be an excellent resource for such courses, and will show students where mathematics arises in their everyday lives.

Author : Apoorva Khare,Anna Lachowska
Publisher : Yale University Press
Page : 480 pages
File Size : 40,5 Mb
Release : 2015-08-25
Category : Mathematics
ISBN : 9780300190892

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Beautiful, Simple, Exact, Crazy by Apoorva Khare,Anna Lachowska Pdf

In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska's enlightening mathematics tour will appeal to a wide audience.

Author : Murad Jurdak
Publisher : Springer
Page : 199 pages
File Size : 49,8 Mb
Release : 2016-05-30
Category : Education
ISBN : 9783319082042

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Learning and Teaching Real World Problem Solving in School Mathematics by Murad Jurdak Pdf

The ultimate aim of this book is to identify the conceptual tools and the instructional modalities which enable students and teachers to cross the boundary between school mathematics and real world problem solving. The book identifies, examines, and integrates seven conceptual tools, of which five are constructs (activity theory, narrative, modeling, critical mathematics education, ethnomathematics) and two are contexts (STEM and the workplace). The author develops two closely linked multiple-perspective frameworks: one for learning real world problem solving in school mathematics, which sets the foundations of learning real world problem solving in school mathematics; and one for teaching real world problem solving in school mathematics, which explores the modalities of teaching real world problem solving in school mathematics. “The book is composed as, on the one hand, a high-level theoretical scholarly work on real world problem solving in school mathematics, and, on the other hand, a set of twelve narratives which, put together, constitute a thought-provoking and moving personal and professional autobiography.” - Mogens Niss “These narratives combine aspects of Murad’s personal trajectory as an individual with those points in his professional career at which he became aware of perspectives on and approaches to mathematics education that were both significant in and of themselves, and instrumental for the specific scholarly endeavor presented in the book.” - Mogens Niss

Author : Matt Parker
Publisher : Penguin
Page : 338 pages
File Size : 41,9 Mb
Release : 2020-01-21
Category : Mathematics
ISBN : 9780593084700

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Humble Pi by Matt Parker Pdf

#1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

Author : Jürgen Maasz,John O'Donoghue
Publisher : Brill / Sense
Page : 281 pages
File Size : 51,8 Mb
Release : 2011
Category : Electronic books
ISBN : 9460915426

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Real-world Problems for Secondary School Mathematics Students by Jürgen Maasz,John O'Donoghue Pdf

This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and their students that is readily available in a single volume. Nowadays there is a universal emphasis on teaching for understanding, motivating students to learn mathematics and using real world problems to improve the mathematics experience of school students. However, using real world problems in mathematics classrooms places extra demands on teachers in terms of extra-mathematical knowledge e. g. knowledge of the area of applications, and pedagogical knowledge. Care must also be taken to avoid overly complex situations and applications. Papers in this collection offer a practical perspective on these issues, and more. While many papers offer specific well worked out lesson type ideas, others concentrate on the teacher knowledge needed to introduce real world applications of mathematics into the classroom. We are confident that mathematics teachers who read the book will find a myriad of ways to introduce the material into their classrooms whether in ways suggested by the contributing authors or in their own ways, perhaps through mini-projects or extended projects or practical sessions or enquiry based learning. We are happy if they do!

Author : Genene Rhodes
Publisher : Teacher Created Resources
Page : 114 pages
File Size : 49,6 Mb
Release : 2002-09
Category : Education
ISBN : 9780743932677

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Real-World Math by Genene Rhodes Pdf

Guided practice and activity pages help students formulate complete answers to real-life problems involving logical reasoning, pre-algebra, decimals, percentages, basic geometry, graphs, and statistics.

Author : Bonnye Wier Cavazos,PCI Educational Publishing
Publisher : Unknown
Page : 128 pages
File Size : 48,8 Mb
Release : 2008-08-01
Category : Mathematics
ISBN : 1588046362

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Real World Math 1 by Bonnye Wier Cavazos,PCI Educational Publishing Pdf

Author : Panos Louridas
Publisher : MIT Press
Page : 527 pages
File Size : 44,9 Mb
Release : 2017-03-17
Category : Computers
ISBN : 9780262035705

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Real-World Algorithms by Panos Louridas Pdf

An introduction to algorithms for readers with no background in advanced mathematics or computer science, emphasizing examples and real-world problems. Algorithms are what we do in order not to have to do something. Algorithms consist of instructions to carry out tasks—usually dull, repetitive ones. Starting from simple building blocks, computer algorithms enable machines to recognize and produce speech, translate texts, categorize and summarize documents, describe images, and predict the weather. A task that would take hours can be completed in virtually no time by using a few lines of code in a modern scripting program. This book offers an introduction to algorithms through the real-world problems they solve. The algorithms are presented in pseudocode and can readily be implemented in a computer language. The book presents algorithms simply and accessibly, without overwhelming readers or insulting their intelligence. Readers should be comfortable with mathematical fundamentals and have a basic understanding of how computers work; all other necessary concepts are explained in the text. After presenting background in pseudocode conventions, basic terminology, and data structures, chapters cover compression, cryptography, graphs, searching and sorting, hashing, classification, strings, and chance. Each chapter describes real problems and then presents algorithms to solve them. Examples illustrate the wide range of applications, including shortest paths as a solution to paragraph line breaks, strongest paths in elections systems, hashes for song recognition, voting power Monte Carlo methods, and entropy for machine learning. Real-World Algorithms can be used by students in disciplines from economics to applied sciences. Computer science majors can read it before using a more technical text.

Author : Linda Armstrong
Publisher : Mark Twain Media
Page : 64 pages
File Size : 55,6 Mb
Release : 2016-01-04
Category : Education
ISBN : 9781622236145

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Math Connections to the Real World, Grades 5 - 8 by Linda Armstrong Pdf

Math Connections to the Real World for grades 5 to 8 increases students’ ability to effectively apply math skills in real-world scenarios. Aligned to current state standards, this supplement offers students the opportunity to combine math and language arts skills to successfully solve everyday problems and communicate answers. Mark Twain Media Publishing Company specializes in providing engaging supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, this product line covers a range of subjects including math, science, language arts, social studies, history, government, fine arts, and character.

Author : Jürgen Maasz,John O'Donoghue
Publisher : Brill / Sense
Page : 281 pages
File Size : 40,7 Mb
Release : 2011
Category : Electronic books
ISBN : 9460915418

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Real-world Problems for Secondary School Mathematics Students by Jürgen Maasz,John O'Donoghue Pdf

This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and their students that is readily available in a single volume. Nowadays there is a universal emphasis on teaching for understanding, motivating students to learn mathematics and using real world problems to improve the mathematics experience of school students. However, using real world problems in mathematics classrooms places extra demands on teachers in terms of extra-mathematical knowledge e. g. knowledge of the area of applications, and pedagogical knowledge. Care must also be taken to avoid overly complex situations and applications. Papers in this collection offer a practical perspective on these issues, and more. While many papers offer specific well worked out lesson type ideas, others concentrate on the teacher knowledge needed to introduce real world applications of mathematics into the classroom. We are confident that mathematics teachers who read the book will find a myriad of ways to introduce the material into their classrooms whether in ways suggested by the contributing authors or in their own ways, perhaps through mini-projects or extended projects or practical sessions or enquiry based learning. We are happy if they do!

Author : Zafer Aslan,Funda Dokmen,Enrico Feoli,Abul H. Siddiqi
Publisher : Unknown
Page : 324 pages
File Size : 54,9 Mb
Release : 2019
Category : Data mining
ISBN : 1536162671

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Mathematical Modeling of Real World Problems by Zafer Aslan,Funda Dokmen,Enrico Feoli,Abul H. Siddiqi Pdf

Data mining provides avenues for proper understanding of real world problems. For researchers interested in data mining and new applications, this book is a multidisciplinary 'handbook' in data processes, engineering and medical applications. The authors from the different parts of the world discuss major issues of importance for integrated mathematical implementation and developing experiences. From the general spectrum, the individual spectra can be allowing for separate detection and monitoring of the problem by decomposing the space and time series into signal and noise components. It provides an up-front review of mathematical modeling of real world problems and interdisciplinary studies in applied mathematics that are not only for scientists, engineers, planners or, social scientists but because also everyone can read and understand the real world problems from environment to medicine and their interaction to mathematical implementation. Mathematical studies of the book are aimed to analyze and visualize real world problems in engineering and environmental studies like drought survey, precipitation and erosivity, cloud clarification, estimation of convection scheme and non-linear time series of air pollution, water management, water quality and river pollution and also in medical sciences like, ECG analyses, neurosurgery, computational neuroscience, brain disasters, Parkinson diseases, support vector machine, logic and mathematics. Authors recommend it to researchers with an interest in interaction of social, environmental, agricultural and medical scientists, engineers and planners who are applying wavelets and applied mathematics in their research. The book was edited by Prof. Dr. Zafer ASLAN - Istanbul Aydın University, Assoc. Prof. Dr. Funda DÃKMEN - Kocaeli University, Prof. Dr. Abul Hasan SIDDIQI - Sharda University and Prof. Dr. Enrico FEOLI - University of Trieste.

Author : Francesc Font,Tim G. Myers
Publisher : Springer Nature
Page : 89 pages
File Size : 40,9 Mb
Release : 2021-04-13
Category : Mathematics
ISBN : 9783030642723

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Multidisciplinary Mathematical Modelling by Francesc Font,Tim G. Myers Pdf

This book presents a selection of the talks resulting from research carried out by different groups at the Centre de Recerca Matemàtica and presented at the International Congress on Industrial and Applied Mathematics, held in Valencia in 2019. The various chapters describe a wide variety of topics: cancer modelling, carbon capture by adsorption, nanoscale diffusion and complex systems to predict earthquakes. These mathematical studies were specifically aided via collaborations with biomedical engineers, physicists and chemists. The book is addressed to researchers in all of these areas as well as in general mathematical modelling.

Author : Katsuki Fujisawa,Yuji Shinano,Hayato Waki
Publisher : Springer
Page : 194 pages
File Size : 42,9 Mb
Release : 2015-09-09
Category : Technology & Engineering
ISBN : 9784431554202

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Optimization in the Real World by Katsuki Fujisawa,Yuji Shinano,Hayato Waki Pdf

This book clearly shows the importance, usefulness, and powerfulness of current optimization technologies, in particular, mixed-integer programming and its remarkable applications. It is intended to be the definitive study of state-of-the-art optimization technologies for students, academic researchers, and non-professionals in industry. The chapters of this book are based on a collection of selected and extended papers from the “IMI Workshop on Optimization in the Real World” held in October 2014 in Japan.

Author : Gene Pease
Publisher : Rowman & Littlefield
Page : 174 pages
File Size : 41,7 Mb
Release : 2017-07-19
Category : Education
ISBN : 9781475830491

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Math Is Everywhere by Gene Pease Pdf

Math is Everywhere has 365 math activities you can do with your kids.