Background
Posamentier, Alfred Steven was born on October 18, 1942 in New York City. Son of Ernest and Alice (Pisk) Posamentier.
(Are you "proud" to admit that you never liked math? Were ...)
Are you "proud" to admit that you never liked math? Were never good in math? Are you struggling to pique your students' interest in math? Are you bored by the routine, mechanical aspects of teaching to the test in mathematics? This book offers a plethora of ideas to enrich your instruction and helps you to explore the intrinsic beauty of math. Through dozens of examples from arithmetic, algebra, geometry, and probability, Alfred S. Posamentier reveals the amazing symmetries, patterns, processes, paradoxes, and surprises that await students and teachers who look beyond the rote to discover wonders that have fascinated generations of great thinkers. Using the guided examples, help students explore the many marvels of math, including * The Amazing Number 1,089. Follow the instructions to reverse three-digit numbers, subtract them, and continue until everyone winds up with . . . 1,089! * The Pigeonhole Principle. All students know that guesstimating works sometimes, but now they can use this strategy to solve problems. * The Beautiful Magic Square. Challenge students to create their own magic squares and then discover the properties of Dürer's Magic Square. The author presents examples to entice students (and teachers) to study mathematics-to make mathematics a popular subject, not one to dread or avoid.
http://www.amazon.com/gp/product/0871207753/?tag=2022091-20
(Professional mathematicians often speak of the beauty of ...)
Professional mathematicians often speak of the beauty of mathematics and the elegance of its solutions. Yet the esthetic appeal of math is rarely conveyed to students at the elementary, secondary, or even college level. Instead, most of us develop phobias in school about math's elusive logic and then pass these negative impressions on to our children. We should all be having fun with math and helping our kids to do better in life by encouraging them to appreciate not only its usefulness but especially its charm. That's just what veteran math educator Alfred Posamentier sets out to do in this delightful exploration of math's many intriguing, interesting, and fun qualities. Beginning with the beauty of the number system, thr author doesn't just talk mathematics; he entices readers to do math and discover for themselves just how stimulating the process can be! Brief and entertaining introductions to each chapter invite readers to try their hands at arithmetic marvels, surprising solutions, algebraic entertainments, geometric wonders, and fun mathematical paradoxes, among other topics. Presented in a reader-friendly, conversational tone, the text is very accessible and the examples are geared to a beginner's level, so that even the most math-phobic individual will discover the hidden joy and inherent appeal of doing math. This is the ideal book for adults looking for a way to turn their kids on to an important subject or discover for themselves what they might have missed in their own math education.
http://www.amazon.com/gp/product/1591020670/?tag=2022091-20
( This easy-to-use reference tool translates the latest r...)
This easy-to-use reference tool translates the latest research results and provides tips for K-12 math teachers.
http://www.amazon.com/gp/product/0803965907/?tag=2022091-20
(With its coverage of plane, solid, coordinate, vector, an...)
With its coverage of plane, solid, coordinate, vector, and non-Euclidean geometry, this text is suitable for high school, college, and continuing education courses as well as independent study. Each new topic is carefully developed and clarified with many examples. More than 2,000 illustrations help students visualize the problems. Every set of exercises is preceded by numerous examples with detailed solutions. Chapters include a vocabulary list, set of review exercises, chapter test, and topics for suggested research. Periodic cumulative reviews offer the opportunity for self-evaluation. Co-written by Alfred S. Posamentier, a bestselling author of high school and university textbooks and pioneer of educational standards, this volume is geared toward high school geometry classes and contains standard material for numerous state competencies. An electronic solutions manual is available upon request.
http://www.amazon.com/gp/product/0486492672/?tag=2022091-20
(If you've been waiting for a book that will evoke the del...)
If you've been waiting for a book that will evoke the delight and intrigue that mathematics has to offer, this is the book for you. What are the odds of finding two people who share the same birth date in a room of thirty-five? Most people would guess they're pretty low. In actuality, the probability is better than 80 percent. This is just one of many entertaining examples of mathematical curiosities presented. Two veteran math educators have created the perfect introduction to the wonders of mathematics for the general reader, requiring only a high school background in the subject. Among the entertaining and useful tricks they teach are shortcuts in arithmetic, such as ways to determine at a glance the exact divisors of any given number. They also demonstrate how the properties of certain numbers can lead to infinite loops. What is particularly exciting is how many correct answers turn out to be counterintuitive. Exploring all these features will instill insights into the nature of numbers, improve your ability to manipulate them, and give you an appreciation for the inherent elegance of mathematics. As you marvel at the many unusual relationships and novelties revealed in this ingenious and delightful presentation, you'll be learning more math than you ever thought possible - and will be relishing every moment of it!
http://www.amazon.com/gp/product/1591027233/?tag=2022091-20
(Title: Challenging Problems in Geometry <>Binding: Paperb...)
Title: Challenging Problems in Geometry <>Binding: Paperback <>Author: AlfredS.Posamentier <>Publisher: DoverPublications
http://www.amazon.com/gp/product/B004VEI1QQ/?tag=2022091-20
(What exactly is the Golden Ratio? How was it discovered? ...)
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.
http://www.amazon.com/gp/product/1616144238/?tag=2022091-20
(The Pythagorean theorem may be the best-known equation in...)
The Pythagorean theorem may be the best-known equation in mathematics. Its origins reach back to the beginnings of civilization, and today every student continues to study it. What most nonmathematicians don't understand or appreciate is why this simply stated theorem has fascinated countless generations. In this entertaining and informative book, a veteran math educator makes the importance of the Pythagorean theorem delightfully clear. He begins with a brief history of Pythagoras and the early use of his theorem by the ancient Egyptians, Babylonians, Indians, and Chinese, who used it intuitively long before Pythagoras's name was attached to it. He then shows the many ingenious ways in which the theorem has been proved visually using highly imaginative diagrams. Some of these go back to ancient mathematicians; others are comparatively recent proofs, including one by the twentieth president of the United States, James A. Garfield. After demonstrating some curious applications of the theorem, the author then explores the Pythagorean triples, pointing out the many hidden surprises of the three numbers that can represent the sides of the right triangle (e.g, 3, 4, 5 and 5, 12, 13). And many will truly amaze the reader. He then turns to the "Pythagorean means" (the arithmetic, geometric, and harmonic means). By comparing their magnitudes in a variety of ways, he gives the reader a true appreciation for these mathematical concepts. The final two chapters view the Pythagorean theorem from an artistic point of view - namely, how Pythagoras's work manifests itself in music and how the Pythagorean theorem can influence fractals. The author's lucid presentation and gift for conveying the significance of this key equation to those with little math background will inform, entertain, and inspire the reader, once again demonstrating the power and beauty of mathematics!
http://www.amazon.com/gp/product/1616141816/?tag=2022091-20
(State curriculum standards are mandating more coverage of...)
State curriculum standards are mandating more coverage of geometry, as are the curricula for pre-service mathematics education and in-service teaching. Yet many secondary teachers know just enough geometry to stay one chapter ahead of their students! What's more, most college-level geometry texts don't address their specific needs. Advanced Euclidean Geometry fills this void by providing a thorough review of the essentials of the high school geometry course and then expanding those concepts to advanced Euclidean geometry, to give teachers more confidence in guiding student explorations and questions. The text contains hundreds of illustrations created in The Geometer's Sketchpad Dynamic Geometry? software, and it is packaged with a CD-ROM (for Windows?/Macintosh? formats) containing over 100 interactive sketches using Sketchpad(TM) (assumes that the user has access to the program).
http://www.amazon.com/gp/product/0470412569/?tag=2022091-20
(The most ubiquitous, and perhaps the most intriguing, num...)
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.
http://www.amazon.com/gp/product/1591024757/?tag=2022091-20
(Effective teaching is largely reliant on the teacher’s ab...)
Effective teaching is largely reliant on the teacher’s ability to capture the genuine interest of the students for the material to be taught. This naturally rests on the planning that the teacher exerts in preparation for the lesson. Perhaps the single most important aspect of any lesson is the beginning of the lesson where the teacher must motivate the students for the ensuing lesson. This can be done in many ways and is also largely measure a function of the teacher’s personality and voice. Studies have shown that what a teacher says accounts for 7% of the effectiveness package, the tone of the teacher’s voice and the enthusiasm accounts for 38%, and the “body language” accounts for 55%. Teachers should be entertaining, without ever losing control of the lesson, and yet not be completely scripted to prevent accommodation to the quirks of any class. Yet even the finest style of presentation – an important part of any teaching performance – can only offer a portion of the overall effectiveness. The content of what is said is paramount! This then leads us into the theme of the book, namely, the techniques that can be used to motivate students in the first few minutes of almost any lesson in mathematics. This could be the most difficult part of a lesson to plan. It requires a modicum of creativity and yet it pays back by enabling a successful lesson. It is a very worthwhile investment of time.
http://www.amazon.com/gp/product/0078024471/?tag=2022091-20
(Softcover book with plastic comb binding. Comprises 94 pa...)
Softcover book with plastic comb binding. Comprises 94 pages of geometric constructions and how to satisfy the conditions set forth to create the solution. Using only a straightedge and compass, step-by-step instruction is given. For example, solve the problem "Construct the segment whose length is the mean proportional between the lengths of two given segments". Includes basic constructions, triangle and circle constructions, and constructions with restrictions on tools.
http://www.amazon.com/gp/product/B0006W59SA/?tag=2022091-20
( Advanced Euclidean Geometry provides a thorough review ...)
Advanced Euclidean Geometry provides a thorough review of the essentials of high school geometry and then expands those concepts to advanced Euclidean geometry, to give teachers more confidence in guiding student explorations and questions. The text contains hundreds of illustrations created in The Geometer's Sketchpad Dynamic Geometry® software. It is packaged with a CD-ROM containing over 100 interactive sketches using Sketchpad™ (assumes that the user has access to the program).
http://www.amazon.com/gp/product/1930190859/?tag=2022091-20
( Algebraic Identities, the Fibonacci Sequence, Patterns ...)
Algebraic Identities, the Fibonacci Sequence, Patterns in Mathematics, Odds, Means, Averages . . . and that's only the beginning!
http://www.amazon.com/gp/product/0761975977/?tag=2022091-20
(Math Charmers: Tantalizing Tidbits for the Mind by Alfred...)
Math Charmers: Tantalizing Tidbits for the Mind by Alfred S. Posamentier Pro...
http://www.amazon.com/gp/product/B00M3SMRO4/?tag=2022091-20
( All the basics of geometry in a motivating new format, ...)
All the basics of geometry in a motivating new format, from Ptolemy to Napoleon, from the Arbelos to the billiard table!
http://www.amazon.com/gp/product/0761975993/?tag=2022091-20
( Designed for high school students and teachers with an ...)
Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems in geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics. Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other subjects. Within each topic, the problems are arranged in approximate order of difficulty. Detailed solutions (as well as hints) are provided for all problems, and specific answers for most. Invaluable as a supplement to a basic geometry textbook, this volume offers both further explorations on specific topics and practice in developing problem-solving techniques.
http://www.amazon.com/gp/product/0486691543/?tag=2022091-20
(Using NCTM Standards as a foundation, this practical text...)
Using NCTM Standards as a foundation, this practical text once again leads the way in secondary mathematics instruction with unique enrichment units, technology updates, and a highly readable style. This book offers current and future instructors the "nuts 'n bolts" that are needed to improve mathematics instruction at the secondary level. It provides step-by step techniques on preparing lessons and tests, motivating students, designing assignments, and organizing the classroom. Also included are "hands-on" activities enrichment units, teaching strategies, and pre- and post-tests that are cross-referenced to methods presented earlier in the text.
http://www.amazon.com/gp/product/0136748058/?tag=2022091-20
( Number Theory, Geometry, Topology, Binary and Exponenti...)
Number Theory, Geometry, Topology, Binary and Exponential Arithmetic, and much, much more!
http://www.amazon.com/gp/product/0761975950/?tag=2022091-20
( Designed for high-school students and teachers with an ...)
Designed for high-school students and teachers with an interest in mathematical problem-solving, this stimulating collection includes more than 300 problems that are "off the beaten path" — i.e., problems that give a new twist to familiar topics that introduce unfamiliar topics. With few exceptions, their solution requires little more than some knowledge of elementary algebra, though a dash of ingenuity may help. Readers will find here thought-provoking posers involving equations and inequalities, diophantine equations, number theory, quadratic equations, logarithms, combinations and probability, and much more. The problems range from fairly easy to difficult, and many have extensions or variations the author calls "challenges." By studying these nonroutine problems, students will not only stimulate and develop problem-solving skills, they will acquire valuable underpinnings for more advanced work in mathematics.
http://www.amazon.com/gp/product/0486691489/?tag=2022091-20
mathematics educator university administrator
Posamentier, Alfred Steven was born on October 18, 1942 in New York City. Son of Ernest and Alice (Pisk) Posamentier.
AB, Hunter College, 1964. Master of Arts, City College of New York, 1966. Postgraduate, Yeshiva University, New York City, 1969.
Doctor of Philosophy, Fordham University, 1973. Nostrifizierung of Doctorate, University Vienna, Austria, 1992.
Teacher math, Theodore Roosevelt H.S., Bronx, New York, 1964-1970;
assistant professor mathematics education, City College of New York, New York City, 1970-1976;
associate professor, City College of New York, New York City, 1977-1980;
professor, City College of New York, New York City, since 1981;
department department chairman secondary and continuing education, City College of New York, New York City, 1974-1980;
chairman, City College of New York, New York City, 1980-1986;
associate dean School Education, City College of New York, New York City, 1986-1995;
deputy dean, School Education, City College of New York, New York City, since 1995;
director select program in science and engineering, City College of New York, New York City, since 1978;
director, City College of New York, United Kingdom
with iniatives program, City College of New York, United Kingdom, since 1983;
director Germany/City College of New York Exch. Program, City College of New York, since 1985;
director Austria/City College of New York Exch. Program, City College of New York, since 1987;
director Czech Republic/City College of New York Exch.
Program, City College of New York, since 1989;
director science lecturer program, City College of New York, since 1981;
director Center for Science and Mathematics Education, City College of New York, since 1986. Chairman, Board Of Directors Salvadori Ednl. Center on Built Environmental, since 1988.
Director Exxon sponsored early childhood mathematics specialist training program at City College, 1988-1992. Supervisor mathematics and science Mamaroneck H.S., New York, 1976-1979. Project director Math Proficiency Workshop, Ossining, New York, 1976-1979, National Science Foundation mathematics development program for secondary school teachers mathematics, 1978-1982, New York City, Professional Preparation of Mathematics and Science Teachers, 1978-1979.
Project director numerous National Science Foundation sponsored mathematics/science teacher development institutions, since 1976. Consultant Croft Ednl. Superior vena cava syndrome, New London, 1971, New York City Board Education, 1973-1975, New York City Board Education Office of Evaluation, 1974-1980, New York City Board Education Examiners, 1979-1992, Ossining Board Education, 1975-1983, numerous others.
Coordinator National Science Foundation N.E. Resource Center Science and Engineering, 1980-1990. Lecturer various conversations and meetings. Visiting professor U. Vienna, Austria, 1985, 87, 88, 90, Technology U., Berlin, 1989, Technology U., Vienna, 1993-1998, Pedgogical Institute, Vienna, since 1993, Humboldt U., Berlin, 1996.
Director New York City Mathematics Project, since 1994, Mathfor the New Millennium Project, since 1995.
(Are you "proud" to admit that you never liked math? Were ...)
( Designed for high school students and teachers with an ...)
( Advanced Euclidean Geometry provides a thorough review ...)
(What exactly is the Golden Ratio? How was it discovered? ...)
(Using NCTM Standards as a foundation, this practical text...)
(With its coverage of plane, solid, coordinate, vector, an...)
( Designed for high-school students and teachers with an ...)
(State curriculum standards are mandating more coverage of...)
(Effective teaching is largely reliant on the teacher’s ab...)
(If you've been waiting for a book that will evoke the del...)
( All the basics of geometry in a motivating new format, ...)
( This easy-to-use reference tool translates the latest r...)
(The most ubiquitous, and perhaps the most intriguing, num...)
(Professional mathematicians often speak of the beauty of ...)
( Algebraic Identities, the Fibonacci Sequence, Patterns ...)
( Number Theory, Geometry, Topology, Binary and Exponenti...)
(Title: Challenging Problems in Geometry <>Binding: Paperb...)
(The Pythagorean theorem may be the best-known equation in...)
(Math Charmers: Tantalizing Tidbits for the Mind by Alfred...)
(Art of Motivating Students for Mathematics Instruction)
(The Fabulous Fibonacci Numbers by Alfred S. Posamentier. ...)
(Softcover book with plastic comb binding. Comprises 94 pa...)
(1)
Trustee Demarest Board Education, 1977-1980. Member Mathematics Association American, School Science and Mathematics Association, National Council Teachers Mathematics (reviewer new publications, referee articles Mathematics Teacher Journal), Assn.Tchrs. Mathematics New York City (Executive Board 1966-1967, referee articles association journal), Association Teachers of Mathematics of New York State, Association Teachers Mathematics New Jersey (mem.editl. board New Jersey Mathematics Teacher Journal 1981-1984), National Council of Suprs. of Mathematics.
Children: Lisa Joan, David Richard.