Author : John Meier
Publisher : Cambridge University Press
Page : 341 pages
File Size : 45,78 MB
Release : 2017-08-07
Category : Mathematics
ISBN : 1107128986
With exercises and projects, Exploring Mathematics supports an active approach to the transition to upper-level theoretical math courses.
Author : Daniel Grieser
Publisher : Springer
Page : 308 pages
File Size : 25,27 MB
Release : 2018-05-21
Category : Mathematics
ISBN : 3319903217
Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.
Author : P. Chadwick
Publisher : Elsevier
Page : 133 pages
File Size : 16,88 MB
Release : 2014-05-09
Category : Mathematics
ISBN : 1483185958
Exploring University Mathematics 1 provides information pertinent to pure and applied mathematics. This book discusses a variety of topics, including sets and functions, relativity, integers, waves, isometric problems, and digital computers. Organized into seven chapters, this book begins with an overview of the axiomatic way of introducing natural numbers that is completely satisfactory for mathematical purposes. This text then examines the special theory of relativity, which is a certain kind of geometry of four dimensions that connects three spatial coordinates x, y, z, and a time coordinate t. Other chapters consider the impact that the study of wave phenomena has had on the historical development of mathematics. This book discusses as well the development of the electronic digital computers. The final chapter deals with solving the isoperimetric problem. This book is intended to be suitable for students about to embark upon a degree course of which mathematics is a major part.
Author : Amy Noelle Parks
Publisher : Teachers College Press
Page : 161 pages
File Size : 19,57 MB
Release : 2014-10-15
Category : Education
ISBN : 0807755893
This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed thorughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking, such as perseverence and attention to precision. This book will help put play back into the early childhood classrooms where it belongs. This book: makes explicit connections to play and the Common Core State Standards in Mathematics; offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play; and provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress.
Author : Mary Bradburn
Publisher : Elsevier
Page : 133 pages
File Size : 41,52 MB
Release : 2016-06-06
Category : Mathematics
ISBN : 1483138747
Exploring University Mathematics, Volume 3 provides information pertinent to pure and applied mathematics. This book discusses the close relationship between mathematics and physics. Organized into seven chapters, this volume begins with an overview of the concept of mapping in mathematics, which provides a correspondence between elements of one set with elements of another. This text then examines the theory of inflatable structures in the study of the hovercrafs in two dimensions. Other chapters consider the explicit investigation of logic by mathematicians whereby mathematics has been conceived as pre-eminently a deductive science. This book discusses as well how Taylor's formula is used in various aspects, including integration, approximating functions, finding roots of algebraic equations, and solving differential equations in forms suitable for computer calculations. This book is intended to be suitable for students on a degree course in mathematics. Mathematicians, teachers, and research workers will also find this book extremely useful.
Author : Rajee Amarasinghe
Publisher :
Page : 304 pages
File Size : 13,35 MB
Release : 2011-01-19
Category :
ISBN : 9781609270636
Exploring Mathematics: Investigations for Elementary School Teachers is a text designed to give readers a highly conceptual understanding of mathematics topics essential for elementary school teaching. The body of material presented was assembled though considerable experimentation and collaboration among the authors over the past ten years.Using a 'less is more' approach, this book's basic philosophy centers on the idea that the learning of mathematics takes time and is best learned from multiple viewpoints and engaging problems. To meet this goal, the development of mathematical reasoning is introduced primarily through the use of manipulatives, models and visual aids for problem solving. The practical, field-tested, in-depth material and activities found in Exploring Mathematics makes this an ideal text for an upper-division mathematics course that serves as a culminating experience for elementary school teachers.
Author : Harold Abelson
Publisher : MIT Press
Page : 502 pages
File Size : 38,82 MB
Release : 1986-07-09
Category : Computers
ISBN : 9780262510370
Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.
Author : Paul Orland
Publisher : Manning Publications
Page : 686 pages
File Size : 26,39 MB
Release : 2021-01-12
Category : Computers
ISBN : 1617295353
In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks
Author : Craig Johnson
Publisher : Jones & Bartlett Publishers
Page : 676 pages
File Size : 13,30 MB
Release : 2014-08
Category : Mathematics
ISBN : 1284076229
Exploring Mathematics: Investigations with Functions is intended for a one- or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, or any of the other majors within liberal arts. The mathematics course of this scope, with an algebra prerequsite, is a popular selection for liberal arts students. This 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as aesthetic features of this rich facet of history and ongoing advancement of human society. With a central theme around the use of the concept of functions, and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, "How does mathematics help us to better our society and understand the world around us?" and "What are some of the unifying ideas of mathematics?" The central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. Developing the concept of a function augments the presentation of many topics in every chapter. The Text's Objectives: The author chose the topics based on meeting the specific NCTM curriculum standards to: 1. Strengthen estimation and computational skills. 2. Utilize algebraic concepts. 3. Emphasize problem-solving and reasoning. 4. Emphasize pattern and relationship recognition. 5. Highlight importance of units in measurement. 6. Highlight importance of the notion of a mathematical function. 7. Display mathematical connections to other disciplines.
Author : Hamsa Venkat
Publisher : Routledge
Page : 236 pages
File Size : 12,25 MB
Release : 2014-05-09
Category : Education
ISBN : 1134683642
Globally, mathematics and science education faces three crucial challenges: an increasing need for mathematics and science graduates; a declining enrolment of school graduates into university studies in these disciplines; and the varying quality of school teaching in these areas. Alongside these challenges, internationally more and more non-specialists are teaching mathematics and science at both primary and secondary levels, and research evidence has revealed how gaps and limitations in teachers’ content understandings can lead to classroom practices that present barriers to students’ learning. This book addresses these issues by investigating how teachers’ content knowledge interacts with their pedagogies across diverse contexts and perspectives. This knowledge-practice nexus is examined across mathematics and science teaching, traversing schooling phases and countries, with an emphasis on contexts of disadvantage. These features push the boundaries of research into teachers’ content knowledge. The book’s combination of mathematics and science enriches each discipline for the reader, and contributes to our understandings of student attainment by examining the nature of specialised content knowledge needed for competent teaching within and across the two domains. Exploring Mathematics and Science Teachers’ Knowledge will be key reading for researchers, doctoral students and postgraduates with a focus on Mathematics, Science and teacher knowledge research.
