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Author | Vasile Berinde | |

ISBN-10 | 376437019X | |

Release | 2003-12-17 | |

Pages | 246 | |

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This book presents creative problem solving techniques with particular emphasis on how to develop and train inventive skills to students. It presents an array of 24 carefully selected themes from elementary mathematics: arithmetic, algebra, geometry, analysis as well as applied mathematics. The main goal of this book is to offer a systematic illustration of how to organize the natural transition from the problem solving activity towards exploring, investigating, and discovering new facts and results. The target audience are mainly students, young mathematicians, and teachers. |

Author | A. Gardiner | |

ISBN-10 | 9780486452999 | |

Release | 2006-01-26 | |

Pages | 206 | |

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The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end. |

Author | Professor of Mathematics Marywood University Scranton Pennsylvania Craig Johnson | |

ISBN-10 | 9781284076226 | |

Release | 2014-08-01 | |

Pages | 755 | |

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Includes Access to Student Companion Website! Exploring Mathematics: Investigations with Functions is designed for one- or two- term mathematics courses for humanities and liberal arts majors. This unique ten-chapter text covers modern applications of mathematics in the liberal arts and situates the discipline within its rich and varied history. Exploring Mathematics draws on examples from the humanities, including how math is used in music and astronomy, and features perforated pages for easy study and review. The student-friendly writing style and informal approach demystifies the subject matter and offers an engaging and informative overview that will pique students curiosity and desire to explore mathematics further. Organized around the use of algebraic functions, this text builds conceptual bridges between each chapter so that students develop advanced mathematical skills within a larger context. Unlike other texts that present mathematical topics as a disconnected set of rules and equations, Exploring Mathematics flows seamlessly from one subject to the next, situating each within its historical and cultural context. This text provides a unique opportunity to showcase the richness of mathematics as a foundation upon which to build understanding of many different phenomena. Students will come away with a solid knowledge base of the unifying ideas of mathematics and the ability to explain how mathematics helps us to better our society and understand the world around us. 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. Key Features: A full color, interactive design provides students with a safe environment to graph solutions, check off chapter objectives, and answer questions directly in their textbook Piques student interest in math by relating it to areas such as astronomy and music, found in Chapter 4, Astronomy and the Methods of Science and Chapter 9, Mathematics in Music and Cryptology Utilizes the concept of a function as a central theme, providing a common thread through chapters Presents an engaging, student-friendly style with problem sets that incorporate real-world applications and data An abundance of examples illustrating important applications are presented in each section, while four-color pictures and diagrams reinforce key concepts and increase student comprehension Every new, printed copy includes access to a student companion website, featuring a lab manual and student solutions manual" |

Author | John Meier | |

ISBN-10 | 9781108509282 | |

Release | 2017-08-31 | |

Pages | ||

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Exploring Mathematics gives students experience with doing mathematics - interrogating mathematical claims, exploring definitions, forming conjectures, attempting proofs, and presenting results - and engages them with examples, exercises, and projects that pique their interest. Written with a minimal number of pre-requisites, this text can be used by college students in their first and second years of study, and by independent readers who want an accessible introduction to theoretical mathematics. Core topics include proof techniques, sets, functions, relations, and cardinality, with selected additional topics that provide many possibilities for further exploration. With a problem-based approach to investigating the material, students develop interesting examples and theorems through numerous exercises and projects. In-text exercises, with complete solutions or robust hints included in an appendix, help students explore and master the topics being presented. The end-of-chapter exercises and projects provide students with opportunities to confirm their understanding of core material, learn new concepts, and develop mathematical creativity. |

Author | Ian Hacking | |

ISBN-10 | 9781107729827 | |

Release | 2014-01-30 | |

Pages | 212 | |

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This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities. |

Author | M. Britt | |

ISBN-10 | 0866515410 | |

Release | 1997-02-01 | |

Pages | 240 | |

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Meaningful mathematical experiences with interconnected situational lessons and real-world activities: Book One: geometry, patterns, operations research, photography, and genetic inheritance. Book Two: networks, sports math, finite-difference patterns, rates, and maps. Book Three: fundamentals of money, scaling, finance, loans, probability, and linear programming. Each investigation includes individual and whole-class activities, plus a "Check-up" that tests students' understanding. |

Author | Jo Boaler | |

ISBN-10 | 9781119358787 | |

Release | 2018-02-26 | |

Pages | 304 | |

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Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fifth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual mathematics tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum. |

Author | National Science Teachers Association | |

ISBN-10 | 9781935155317 | |

Release | 2009-07-06 | |

Pages | ||

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Stepping Up To Science and Math Exploring the Natural Connections has been writing in one form or another for most of life. You can find so many inspiration from Stepping Up To Science and Math Exploring the Natural Connections also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Stepping Up To Science and Math Exploring the Natural Connections book for free. |

Author | Martin Erickson | |

ISBN-10 | 9780883855768 | |

Release | 2011-12-22 | |

Pages | 177 | |

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This book is about beautiful mathematical concepts and creations. Mathematical ideas have an aesthetic appeal that can be appreciated by those who have the time and dedication to investigate. Mathematical topics are presented in the categories of words, images, formulas, theorems, proofs, solutions, and unsolved problems. Readers will investigate exciting mathematical topics ranging from complex numbers to arithmetic progressions, from Alcuin's sequence to the zeta function, and from hypercubes to infinity squared.Do you know that a lemniscate curve is the circular inversion of a hyperbola? That Sierpinski's triangle has fractal dimension 1.585….? That a regular septagon can be constructed with straightedge, compass, and an angle trisector? Do you know how to prove Lagrange's theorem that every positive integer is the sum of four squares? Can you find the first three digits of the millionth Fibonacci number? Discover the keys to these and many other mathematical problems. In each case, the mathematics is compelling, elegant, simple, and beautiful.Who should read this book? There is something new for any mathematically-minded person. High school and college students will find motivation for their mathematical studies. Professional mathematicians will find fresh examples of mathematical beauty to pass along to others. Within each chapter, the topics require progressively more prerequisite knowledge. An appendix gives background definitions and theorems, while another gives challenging exercises (with solutions). |

Author | ||

ISBN-10 | 1895997186 | |

Release | 2000 | |

Pages | 96 | |

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Measurement has been writing in one form or another for most of life. You can find so many inspiration from Measurement also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Measurement book for free. |

Author | ||

ISBN-10 | 189599716X | |

Release | 2000 | |

Pages | 96 | |

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Patterns Functions and Algebra has been writing in one form or another for most of life. You can find so many inspiration from Patterns Functions and Algebra also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Patterns Functions and Algebra book for free. |

Author | Steve Benson | |

ISBN-10 | 0761931058 | |

Release | 2004-10-05 | |

Pages | 242 | |

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Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach. |

Author | Brendan Kelly | |

ISBN-10 | 1895997224 | |

Release | 2002-01-01 | |

Pages | 94 | |

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Algebra with the TI 83 Plus TI 83 Plus SE has been writing in one form or another for most of life. You can find so many inspiration from Algebra with the TI 83 Plus TI 83 Plus SE also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Algebra with the TI 83 Plus TI 83 Plus SE book for free. |

Author | R.J. Stroeker | |

ISBN-10 | 3764360917 | |

Release | 1999-04-01 | |

Pages | 227 | |

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This book introduces Maple in a rather special way; namely, it shows how a computer algebra system most naturally fits into a mathematically oriented work environment. The intended audience is the mixed group of mathematicians, econometricians, engineers and other scientists, principally those who in their chosen discipline need to work with mathematical ideas and techniques. The book distinguishes itself from existing ones in the following ways: - It instructs the reader about the use of Maple by posing problems of a strictly mathematical nature. - It is intended not as a mere introduction to Maple, but also to show how Maple - and other computer algebra systems - may enrich our knowledge and deepen our understanding of mathematics. In that respect it focusses on mathematics rather than on Maple. In doing this it tries to convince scientists who are not naturally inclined to incorporate the computer into their daily work routine that a computer algebra system may very well enhance their theoretical work. |

Author | Debbie Cunningham | |

ISBN-10 | 9780876597613 | |

Release | 2005-05-01 | |

Pages | 240 | |

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The authors of Preschool Math--a scientist, a Montessori teacher, and an Emergent Curriculum advocate--come from different backgrounds and all offer unique expertise to the book. This combination gives the book a particularly interesting and stimulating approach, and makes the book usable for any teacher. Preschool Math encourages teachers to listen to and observe young children to better understand how they think about their world. The book uses these prompts to expand into useful and appropriate math experiences. Teachers will encourage children to use their senses and bodies to explore ideas, record and talk about the concepts, and to learn how math feels, tastes, and looks. Activities in Preschool Math use the scientific ideals of testing, evaluating, exploring, experimenting, problem solving, making guesses, and forming a hypothesis, while utilizing interesting materials and environments in mathematical ways. Special features of this book Each activity includes assessment following standards set by the National Council of Teachers of Mathematics. Activities are geared for a range of ages and abilities, and many types of learning environments. Experiences included in the book originate in children's own explorations of math concepts in day-to-day play. Preschool Math encourages hands-on playful and child-focused experiences that guide children towards a sound understanding of the basic math concepts. Preschool Math encourages teachers, caregivers, students and parents to create math experiences from everyday events and materials. Preschool Math encourages children's thoughtful considerations, theory development, and logical exploration. It discourages interrogation or forcing a yes or no answer. Teachers are encouraged to observe children's play when introducing math concepts, or environment in ways that are appropriate at that time and for those children. This approach helps children learn math concepts as they are ready for them. Preschool Math is written so that teachers can easily access and use the activities. The authors suggest materials and activities as well as describe ways to talk with the children or to encourage further exploration over future days or weeks. Teachers can find activities that best suit children's needs, or use the ideas to set up environments that will encourage children to explore math. Preschool Math will enrich the lives of children, introduce concepts that build foundations for a lifetime of learning, encourage wondering and exploration, and provide encouragement for adults to make early childhood a real math playground! |

Author | A. Gardiner | |

ISBN-10 | 9781461256540 | |

Release | 2012-12-06 | |

Pages | 306 | |

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What shall we say of this metamorphosis in passing from finite to infinite? Galileo, Two New Sciences As its title suggests, this book was conceived as a prologue to the study of "Why the calculus works"--otherwise known as analysis. It is in fact a critical reexamination of the infinite processes arising in elementary math ematics: Part II reexamines rational and irrational numbers, and their representation as infinite decimals; Part III examines our ideas of length, area, and volume; and Part IV examines the evolution of the modern function-concept. The book may be used in a number of ways: firstly, as a genuine pro logue to analysis; secondly, as a supplementary text within an analysis course, providing a source of elementary motivation, background and ex amples; thirdly, as a kind of postscript to elementary analysis-as in a senior undergraduate course designed to reinforce students' understanding of elementary analysis and of elementary mathematics by considering the mathematical and historical connections between them. But the contents of the book should be of interest to a much wider audience than this including teachers, teachers in training, students in their last year at school, and others interested in mathematics. |

Author | Sally Anderson | |

ISBN-10 | 0876593880 | |

Release | 2012 | |

Pages | 191 | |

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A unique teaching resource that uses children's books and hands-on investigations to bring math and science concepts to life! |