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.

The Art of Motivating Students for Mathematics Instruction

Education & Teaching

Krulik, Stephen

POSAMENTIER, ALFRED

Schools & Teaching

McGraw–Hill Education

The revision of this book introduces the 2000 NCTM Principles and Standards and explains their use for teaching secondary school mathematics instruction. Unlike other books, it utilizes 125 enrichment units to provide the staples in preparing to teach mathematics. The authors provide step-by-step techniques on preparing lessons and tests, motivating students, designing assignments, and organizing the classroom. This valuable book also provides practical teaching methods for immediate use along with answers to typical questions readers have about teaching math. Chapter topics include the mathematics teacher today, long-range and short range planning, teaching more effective lessons, the role of problem solving in the mathematics classroom, using technology to enhance mathematics instruction, authentic assessment and grading strategies, enriching mathematics instruction, and extracurricular activities in mathematics. For mathematics teachers in secondary schools.

Teaching Secondary Mathematics: Techniques and Enrichment Units (6th Edition)

Stepelman, Jay

Reference

PRENTICE/HALL

Effective Techniques to Motivate Mathematics Instruction

Effective Techniques to Motivate Mathematics Instruction offers pre-and in-service teachers best practices and techniques that can be used to motivate students in the first few minutes of any lesson in mathematics. Veteran teacher educators Posamentier and Krulik show how a bit of creativity and planning up front pays back by enabling a successful lesson on even the most challenging mathematics topic. Organized around nine different motivational techniques, each chapter includes a variety of illustrative examples of how the technique may be applied. Designed to complement any methods textbook, this practical, accessible guide helps future math teachers ease the transition from successful student to successful teacher by developing the tools needed to create motivational introductions in their classes.

Science & Math

Mathematics

Routledge

A veteran math educator reveals the hidden fascinations of geometry and why this staple of math education is important. If you remember anything about high school geometry class, it's probably doing proofs. But geometry is more than axioms, postulates, theorems, and proofs. It's the science of beautiful and extraordinary geometric relationships--most of which is lost in high school classrooms where the focus is on the rigor of logically proving those relationships. This book will awaken readers to the appeal of geometry by placing the focus squarely on geometry's visually compelling features and intrinsic elegance. Who knew that straight lines, circles, and area could be so interesting? Not to mention optical illusions. So get out the rulers, compasses, or even a software program, and discover geometry for the first time.

The Joy of Geometry

Humor & Entertainment

Puzzles & Games

Globe Pequot

We see numbers on automobile license plates, addresses, weather reports, and, of course, on our smartphones. Yet we look at these numbers for their role as descriptors, not as an entity in and unto themselves. Each number has its own history of meaning, usage, and connotation in the larger world. The Secret Lives of Numbers takes readers on a journey through integers, considering their numerological assignments as well as their significance beyond mathematics and in the realm of popular culture. Of course we all know that the number 13 carries a certain value of unluckiness with it. The phobia of the number is called Triskaidekaphobia; Franklin Delano Roosevelt was known to invite and disinvite guests to parties to avoid having 13 people in attendance; high-rise buildings often skip the 13th floor out of superstition. There are many explanations as to how the number 13 received this negative honor, but from a mathematical point of view, the number 13 is also the smallest prime number that when its digits are reversed is also a prime number. It is honored with a place among the Fibonacci numbers and integral Pythagorean triples, as well as many other interesting and lesser-known occurrences. 
In The Secret Lives of Numbers, popular mathematician Alfred S. Posamentier provides short and engaging mini-biographies of more than 100 numbers, starting with 1 and featuring some especially interesting numbers –like 6,174, a number with most unusual properties –to provide readers with a more comprehensive picture of the lives of numbers both mathematically and socially.

The Secret Lives of Numbers: Numerals and Their Peculiarities in Mathematics and Beyond

Prometheus

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.

The Fabulous Fibonacci Numbers

See the best price to sell, buy, or rent books by POSAMENTIER, ALFRED. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by POSAMENTIER, ALFRED

See the best price to sell, buy, or rent books by POSAMENTIER, ALFRED. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Art of Motivating Students for Mathematics Instruction

Teaching Secondary Mathematics: Techniques and Enrichment Units (6th Edition)

Effective Techniques to Motivate Mathematics Instruction

Effective Techniques to Motivate Mathematics Instruction

The Joy of Geometry

The Secret Lives of Numbers: Numerals and Their Peculiarities in Mathematics and Beyond

The Fabulous Fibonacci Numbers