The Glorious Golden Ratio

Author: Alfred S. Posamentier
Publisher: Prometheus Books
ISBN: 1616144246
Size: 42.12 MB
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What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors trace the appearance of the Golden Ratio throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. Requiring no more than an elementary knowledge of geometry and algebra, the authors give readers a new appreciation of the indispensable qualities and inherent beauty of mathematics. From the Hardcover edition.

Masters Of Mathematics

Author: Robert A. Nowlan
Publisher: Springer
ISBN: 9463008934
Size: 18.70 MB
Format: PDF, ePub
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The original title for this work was “Mathematical Literacy, What Is It and Why You Need it”. The current title reflects that there can be no real learning in any subject, unless questions of who, what, when, where, why and how are raised in the minds of the learners. The book is not a mathematical text, and there are no assigned exercises or exams. It is written for reasonably intelligent and curious individuals, both those who value mathematics, aware of its many important applications and others who have been inappropriately exposed to mathematics, leading to indifference to the subject, fear and even loathing. These feelings are all consequences of meaningless presentations, drill, rote learning and being lost as the purpose of what is being studied. Mathematics education needs a radical reform. There is more than one way to accomplish this. Here the author presents his approach of wrapping mathematical ideas in a story. To learn one first must develop an interest in a problem and the curiosity to find how masters of mathematics have solved them. What is necessary to be mathematically literate? It’s not about solving algebraic equations or even making a geometric proof. These are valuable skills but not evidence of literacy. We often seek answers but learning to ask pertinent questions is the road to mathematical literacy. Here is the good news: new mathematical ideas have a way of finding applications. This is known as “the unreasonable effectiveness of mathematics.”

100 Commonly Asked Questions In Math Class

Author: Alfred S. Posamentier
Publisher: Corwin Press
ISBN: 1452243085
Size: 61.52 MB
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100 ways to get students hooked on math! That one question got you stumped? Or maybe you have the answer, but it’s not all that compelling. Al Posamentier and his coauthors to the rescue with this handy reference containing fun answers to students’100 most frequently asked math questions. Even if you already have the answers, Al’s explanations are certain to keep kids hooked. The big benefits? You’ll discover high-interest ways to Teach to the Common Core’s math content standards Promote inquiry and process in mathematical thinking Build procedural skills and conceptual understanding Encourage flexibility in problem solving Emphasize efficient test-taking strategies

Fibonacci

Author: Hans Walser
Publisher: BoD – Books on Demand
ISBN: 3937219609
Size: 43.25 MB
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Eagle Malbuch Formen Und Farben

Author: Hans Walser
Publisher: BoD – Books on Demand
ISBN: 3959220847
Size: 78.73 MB
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1 Bilder 1.1 Goldener Schnitt 1.2 Zwölfecke 1.3 Spiralen 1.4 Würfel und Kreise 1.5 Figuren mit Rhomben 1.6 Aus drei mach eins 2 Mathematiker 3 Kommentare und Hinweise Literatur. Namen- und Sachverzeichnis Die überaus erfolgreichen Malbücher in Großbritannien, Frankreich und den USA gaben den Anstoß für dieses EAGLE-MALBUCH.Der Leser ist nun eingeladen zum Ausmalen. Und dabei sind weder der Fantasie noch der Verwendung von Farben Grenzen gesetzt.

The Fabulous Fibonacci Numbers

Author: Alfred S. Posamentier
Publisher:
ISBN:
Size: 64.50 MB
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Explores the complexity and wide-ranging applications of the Fibonacci sequence, which appears in nature, art, economics, and the "golden ratio," which is derived from this simple pattern of numbers.

Numbers Of The Lord

Author: Mark David
Publisher: Xlibris Corporation
ISBN: 1465338888
Size: 22.66 MB
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Biblical numbers have spiritual meaning and this spiritual meaning can also be understood chronologically. How did the Wise Men, for example, know what the Star of Bethlehem meant when it appeared? Is there some formula to relate these numbers to time? The answer is yes. Biblical numbers are part of a brilliant system stating Gods blueprint of the history of His church and of the world. In some cases a code, utilizing the Golden Ratio, even dates the Biblical event recorded in the text in which the numbers are embedded: the birth of Christ for example. In other cases, the numbers project the time the events will occur and are chronological prophecies: the fall of Jerusalem to the Roman general Titus in 70 a.d. or the Moslems sacking New York City in 2001 (9/11). In all cases, this book elucidates the power of God to ordain Time in order to make the history of the world.

Mengen Relationen Funktionen

Author: Ingmar Lehmann
Publisher: Springer-Verlag
ISBN: 3658143991
Size: 62.58 MB
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Dieses Lehrbuch ist eine leicht verständliche Einführung in wichtige Grundbegriffe der Mathematik und es wendet sich sowohl an künftige als auch an bereits unterrichtende Mathematiklehrer. Die zentralen Begriffe Menge, Relation und Funktion sind feste Bestandteile des Mathematikunterrichts in allen Schulformen. Viele mathematische Zusammenhänge lassen sich mit Hilfe des Mengenbegriffs anschaulich und einfach darstellen. Die wichtigsten hierfür erforderlichen Grundlagen werden im Kapitel "Mengen" bereitgestellt. Den Schwerpunkt im Kapitel "Relationen" bilden die Äquivalenzrelationen und die Ordnungsrelationen, mit denen sich die Mengen strukturieren lassen. Im Kapitel "Funktionen" werden vorzugsweise solche grundlegenden Begriffe behandelt, die einerseits im Mathematikunterricht bereits im Vorfeld der Analysis eine Rolle spielen, andererseits der Vorbereitung auf die Differential- und Integralrechnung dienen.

The Circle

Author: Alfred S. Posamentier
Publisher: Prometheus Books
ISBN: 1633881687
Size: 54.93 MB
Format: PDF, Kindle
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The circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson’s terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements. The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometry—leading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves – many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle’s place on the sphere bring "full circle" this presentation of a key element of geometry.