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|Methods of Teaching Secondary Mathematics|
|The Challenge of Teaching|
|Planning for Instruction|
|Teaching More Effective Lessons|
|The Role of Problem-Solving|
|Using Technology to Enhance Mathematics Instruction|
|Enriching Mathematics Instruction|
|Extracurricular Activities in Mathematics|
|Cross-Catalogue of Enrichment Units|
|Constructing Odd-Order Magic Squares|
|Constructing Even-Order Magic Squares|
|Introduction to Alphametics|
|A Checkerboard Calculator|
|The Game of Nim|
|The Tower of Hanoi|
|What Day of the Week Was It? Palindromic Numbers|
|The Fascinating Number|
|Nine Unusual Number|
|Properties Enrichment with a Handheld|
|Variations on a Themendash;Multiplication|
|Ancient Egyptian Arithmetic Napier's Rods|
|Unit Pricing Successive Discounts and Increases|
|Prime and Composite Factors of a Whole Number|
|Prime Numeration System|
|Repeating Decimal Expansions Peculiarities of Perfect|
|Repeating Decimals Patterns in Mathematics|
|Googol and Googolplex|
|Mathematics of Life|
|Insurance Geometric Dissections|
|The Klein Bottle|
|The Four-Color Map Problem|
|Mathematics on a Bicycle|
|Mathematics and Music|
|Mathematics in Nature|
|The Birthday Problem|
|The Structure of the Number|
|System Excursions in Number Bases Raising Interest|
|Reflexive, Symmetric, and Transitive Relations|
|Bypassing an Inaccessible Region|
|The Inaccessible Angle Triangle Constructions|
|The Criterion of Constructibility|
|Constructing Radical Lengths Constructing a Pentagon|
|Investigating the Isosceles Triangle Fallacy|
|The Equiangular Point|
|The Minimum-Distance Point of a Triangle|
|The Isosceles Triangle Revisited Reflective|
|Properties of the Plane|
|Finding the Length of a Cevian of a Triangle|
|A Surprising Challenge Making Discoveries in Mathematics Tessellations|
|Introducing the Pythagorean Theorem Trisection Revisited|
|Proving Lines Concurrent Squares|
|Proving Points Collinear Angle Measurement with a Circle|
|Trisecting a Circle Ptolemy's Theorem Constructing|
|Table of Contents provided by Publisher. All Rights Reserved.|
Alfred S. Posamentier is Professor of Mathematics Education and Dean of the School of Education of The City College of the City University of New York. He is the author and co-author of many mathematics books for teachers and secondary school students.
After completing his A.B. degree in mathematics at Hunter College of the City University of New York, he took a position as a teacher of mathematics at Theodore Roosevelt High School in the Bronx (New York), where he focused his attention on the teaching process in general and the improvement of students' problem-solving skills in particular. He developed the school's first mathematics teams and established a special class whose primary focus was enrichment topics in mathematics and problem solving. After six years as a high school teacher, Dr. Posamentier joined the faculty of The City College where he also received his master’s degree. He began to develop in-service courses for secondary school mathematics teachers, focusing on practical classroom applications of educational research. These courses addressed such topics as the uses of new technology in mathematics instruction, efficient ways to teach weaker students, problem-solving strategies, and the enrichment of mathematics through a variety of ways including, but not limited to, recreational mathematics.
Dr. Posamentier received his Ph.D. from Fordham University (New York) in mathematics education. He is an Honorary Fellow at the South Bank University (London, England). He has been visiting professor at the Technical University of Vienna and the Humboldt University at Berlin, and a Fulbright Professor at the University of Vienna. Dr. Posamentier is often cited for his outstanding teaching. The City College Alumni Association named him Educator of the Year (1993) and he also on May 1, 1993 had a "Day" named in his honor by the City Council President of New York City. He was awarded the Grand Medal of Honor from the Federal Republic of Austria and the Medal of Distinction from the city of Vienna. In 1999 he was awarded the title of University Professor for Austrian Universities.
Now, after more than 35 years on the faculty of CCNY, he still exudes an ever-increasing energy and enthusiasm for mathematics and mathematics education. With his penchant for mathematics instruction, he has been especially concerned that during the recent years of mathematics teacher shortages, those who enter the classroom are as well prepared as possible. He enthusiastically believes that providing mathematics teachers with an appropriate repertoire of teaching strategies enables them to fulfill an essential role in society: empowering our nation's youngsters to engage in the critical study of mathematics.
Dr. Beverly Smith Beverly Smith holds a, MA and Ed.D. in mathematics education from Teachers College — Columbia University and an M.S. degree in computer science from Union College. Prior to becoming a mathematics-teacher-educator, Dr. Smith taught mathematics and computer science at the secondary school and college level in New York State and Massachusetts. She is currently an Associate Professor in the Secondary Education Department at The City College of New York.
Dr. Smith’s research interests are in the area of teacher professional development. As part of her responsibilities as a faculty member of MetroMath: The Center for Mathematics in America’s Cities, she is studying the development of alternatively certified mathematics teachers who are participating in the New York City Teaching Fellows Program. In addition, Dr. Smith is working with mathematics teachers to better understand how technology can support formative assessment in urban mathematics classrooms.