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Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12: A Resource for the Mathematics Teacher

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"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving."
―Howard W. Smith, Superintendent
Public Schools of the Tarrytowns, Sleepy Hollow, NY

"Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers."
―Daniel Jaye, Principal
Bergen County Academies, Hackensack, NJ

Help students become skilled and confident problem solvers!

Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods―including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation―make problem solving easier, neater, and more understandable for students as well as teachers.
Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also


A variety of new problems that show how to use the strategiesReferences to current NCTM standards Solutions to the problems in each chapterExtensive discussions of the empowering strategies used to solve sample problemsThe second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.

280 pages, Paperback

First published March 1, 2008

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About the author

Alfred S. Posamentier

140 books34 followers
Alfred S. Posamentier (born October 18, 1942) is among the most prominent American educators in the country and is a lead commentator on American math and science education, regularly contributing to The New York Times and other news publications. He has created original math and science curricula, emphasized the need for increased math and science funding, promulgated criteria by which to select math and science educators, advocated the importance of involving parents in K-12 math and science education, and provided myriad curricular solutions for teaching critical thinking in math.

Dr. Posamentier was a member of the New York State Education Commissioner’s Blue Ribbon Panel on the Math-A Regents Exams. He served on the Commissioner’s Mathematics Standards Committee, which redefined the Standards for New York State. And he currently serves on the New York City schools’ Chancellor’s Math Advisory Panel.

Posamentier earned a Ph.D. in mathematics education from Fordham University (1973), a Master’s degree in mathematics education from the City College of the City University of New York (1966) and an A.B. degree in mathematics from Hunter College of the City University of New York.

Posamentier was born in Manhattan in New York City, the son of Austrian immigrants. He has one daughter (Lisa, born in 1970), and one son (David, born in 1978). He resides in River Vale, New Jersey and is the current Dean of the School of Education and professor of mathematics education at Mercy College, New York. He was formerly professor of mathematics education and dean of the School of Education at The City College of the City University of New York, where he spent the previous 40 years.

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Displaying 1 - 2 of 2 reviews
Profile Image for Jostin Samuel Mendoza.
42 reviews1 follower
October 4, 2021
Reallu great Book With creative ways to approach solving Problems.
It lacks explanation on how to teach these creative problem solving techniques .
Displaying 1 - 2 of 2 reviews