Ingmar Lehmann's Books

Mathematical Amazements and Surprises

Fascinating Figures and Noteworthy Numbers

By: Alfred S. Posamentier,Ingmar Lehmann

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Mathematical Amazements and Surprises

Fascinating Figures and Noteworthy Numbers

By: Alfred S. Posamentier,Ingmar Lehmann

With many entertaining examples of mathematical curiosities, educators Posamentier and Lehmann have created the perfect introduction to the wonders of mathematics for the general reader, requiring only a high school background in the subject.

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Page Count

269

Publisher

Prometheus Books

Published Date

ISBN 10

1615922946

ISBN 13

9781615922949

The Glorious Golden Ratio

By: Alfred S. Posamentier,Ingmar Lehmann

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The Glorious Golden Ratio

By: Alfred S. Posamentier,Ingmar Lehmann

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.

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Page Count

301

Publisher

Prometheus Books

Published Date

ISBN 10

1616144246

ISBN 13

9781616144241

Magnificent Mistakes in Mathematics

By: Alfred S. Posamentier,Ingmar Lehmann

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Magnificent Mistakes in Mathematics

By: Alfred S. Posamentier,Ingmar Lehmann

Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la Découverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places. This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. In another example, the authors show that when we "prove" that every triangle is isosceles, we are violating a concept not even known to Euclid - that of "betweenness." And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd - but enlightening - results. Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science.

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Page Count

298

Publisher

Prometheus Books

Published Date

ISBN 10

1616147482

ISBN 13

9781616147488

The Fabulous Fibonacci Numbers

By: Alfred S. Posamentier,Ingmar Lehmann

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The Fabulous Fibonacci Numbers

By: Alfred S. Posamentier,Ingmar Lehmann

The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few. Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

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Page Count

385

Publisher

Prometheus Books

Published Date

ISBN 10

1615920226

ISBN 13

9781615920228

100 Commonly Asked Questions in Math Class

Answers That Promote Mathematical Understanding, Grades 6-12

By: Alfred S. Posamentier,William Farber,Terri L. Germain-Williams,Elaine Paris,Bernd Thaller,Ingmar Lehmann

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100 Commonly Asked Questions in Math Class

Answers That Promote Mathematical Understanding, Grades 6-12

By: Alfred S. Posamentier,William Farber,Terri L. Germain-Williams,Elaine Paris,Bernd Thaller,Ingmar Lehmann

100 ways to get students hooked on math! It happens to the best of us: that one question that’s got you stumped. Or maybe you have the answer, but it’s not all that compelling or convincing. 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—and that’s what it’s all about. The questions are all organized around the Common Core’s math content standards and relate directly to Numbers and Quantity, Functions, Algebra, Geometry, and Statistics and Probability. The big benefits? You’ll discover high-interest ways to: • Teach inquiry and process in mathematical thinking • Encourage flexibility in problem solving • Emphasize efficient test-taking strategies • Provide practical applications from mathematics, education, and human development research • Build students’ procedural skills and conceptual understanding Use this complete resource to save time, anticipate questions, promote process and thinking, and present yourself as the math expert we know you are.

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Page Count

233

Publisher

Corwin Press

Published Date

ISBN 10

148333399X

ISBN 13

9781483333991

The Secrets of Triangles

A Mathematical Journey

By: Alfred S. Posamentier,Ingmar Lehmann

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The Secrets of Triangles

A Mathematical Journey

By: Alfred S. Posamentier,Ingmar Lehmann

Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.

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Page Count

300

Publisher

Prometheus Books

Published Date

ISBN 10

1616145889

ISBN 13

9781616145880

Surgical neuropathology of focal epilepsies

Textbook and Atlas

By: Ingmar Blümcke,Harvey B. Sarnat,Roland Coras

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Surgical neuropathology of focal epilepsies

Textbook and Atlas

By: Ingmar Blümcke,Harvey B. Sarnat,Roland Coras

The need for neuropathology reviews in epilepsy surgery tissues steadily increases. However, textbooks and case presentations highlighting and focusing on this specific topic are rare. The authors of this book reviewed their professional experience in surgical and post-mortem neuropathology studies to compile a coherent summary of: clinico-pathological findings, current classification schemes, useful protocols research data for major histopathological entities of brain lesions encountered in modern epilepsy surgery programs, which is hippocampal sclerosis, brain tumours associated with early epilepsy onset, malformations of cortical development, brain inflammation and malformative vascular lesions. They did not intend to be exhaustive but rather representative of the main lesions and pathologies encountered. Thirty-two illustrated cases constitute the core of this book and will be very helpful in current practice.

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Page Count

166

Publisher

John Libbey Eurotext

Published Date

ISBN 10

274201456X

ISBN 13

9782742014569

Pi

A Biography of the World's Most Mysterious Number

By: Alfred S. Posamentier,Ingmar Lehmann

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Pi

A Biography of the World's Most Mysterious Number

By: Alfred S. Posamentier,Ingmar Lehmann

The authors review Pi's history from prebiblical times to the twenty-first century and the many amusing and often mind-boggling attempts to estimate its precise value ...

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Page Count

373

Publisher

Prometheus Books

Published Date

ISBN 10

1615920811

ISBN 13

9781615920815

Mathematical Amazements and Surprises

Fascinating Figures and Noteworthy Numbers

By: Alfred S. Posamentier,Ingmar Lehmann

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Mathematical Amazements and Surprises

Fascinating Figures and Noteworthy Numbers

By: Alfred S. Posamentier,Ingmar Lehmann

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Solve jigsaw puzzle

Age

Page Count

269

Publisher

Prometheus Books

Published Date

ISBN 10

1615922946

ISBN 13

9781615922949

The Secrets of Triangles

A Mathematical Journey

By: Alfred S. Posamentier,Ingmar Lehmann

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The Secrets of Triangles

A Mathematical Journey

By: Alfred S. Posamentier,Ingmar Lehmann

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Solve jigsaw puzzle

Age

Page Count

300

Publisher

Prometheus Books

Published Date

ISBN 10

1616145889

ISBN 13

9781616145880

100 Commonly Asked Questions in Math Class

Answers That Promote Mathematical Understanding, Grades 6-12

By: Alfred S. Posamentier,William Farber,Terri L. Germain-Williams,Elaine Paris,Bernd Thaller,Ingmar Lehmann

Write a review Read reviews Take a Quiz Solve Book Puzzle

100 Commonly Asked Questions in Math Class

Answers That Promote Mathematical Understanding, Grades 6-12

By: Alfred S. Posamentier,William Farber,Terri L. Germain-Williams,Elaine Paris,Bernd Thaller,Ingmar Lehmann

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

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Solve jigsaw puzzle

Age

Page Count

233

Publisher

Corwin Press

Published Date

ISBN 10

1483332837

ISBN 13

9781483332833

The Fabulous Fibonacci Numbers

By: Alfred S. Posamentier,Ingmar Lehmann

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The Fabulous Fibonacci Numbers

By: Alfred S. Posamentier,Ingmar Lehmann

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Solve jigsaw puzzle

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Page Count

385

Publisher

Prometheus Books

Published Date

ISBN 10

1615920226

ISBN 13

9781615920228

The Glorious Golden Ratio

By: Alfred S. Posamentier,Ingmar Lehmann

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The Glorious Golden Ratio

By: Alfred S. Posamentier,Ingmar Lehmann

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Solve jigsaw puzzle

Age

Page Count

301

Publisher

Prometheus Books

Published Date

ISBN 10

1616144246

ISBN 13

9781616144241

Book's by Ingmar Lehmann

Mathematical Amazements and Surprises

Mathematical Amazements and Surprises

The Glorious Golden Ratio

The Glorious Golden Ratio

Magnificent Mistakes in Mathematics

Magnificent Mistakes in Mathematics

The Fabulous Fibonacci Numbers

The Fabulous Fibonacci Numbers

100 Commonly Asked Questions in Math Class

100 Commonly Asked Questions in Math Class

The Secrets of Triangles

The Secrets of Triangles

Surgical neuropathology of focal epilepsies

Surgical neuropathology of focal epilepsies

Pi

Pi

Mathematical Amazements and Surprises

Mathematical Amazements and Surprises

The Secrets of Triangles

The Secrets of Triangles

100 Commonly Asked Questions in Math Class

100 Commonly Asked Questions in Math Class

The Fabulous Fibonacci Numbers

The Fabulous Fibonacci Numbers

The Glorious Golden Ratio

The Glorious Golden Ratio

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