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

Front Cover
SAGE Publications, Mar 20, 2008 - Education - 260 pages

"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 includes:

  • A variety of new problems that show how to use the strategies
  • References to current NCTM standards
  • Solutions to the problems in each chapter
  • Extensive discussions of the empowering strategies used to solve sample problems

The 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.

From inside the book

 

Contents

Introduction to ProblemSolving Strategies
1
Working Backwards
17
Finding a Pattern
39
Copyright

7 other sections not shown

Other editions - View all

Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 ...
Alfred S. Posamentier,Stephen Krulik
Limited preview - 2008
Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 ...
Alfred S. Posamentier,Stephen Krulik
Limited preview - 2008
Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 ...
Alfred S. Posamentier,Stephen Krulik
Limited preview - 2008
View all »

Common terms and phrases

ABCD adopting a different algebraic angle bisector approach area of triangle arithmetic mean backwards strategy begin calculator circle column considering extreme correct answer count diagonals different point digit sum Diophantine equation distance box drawing eggs equal equation examine this problem Figure finding a pattern fraction given guessing and testing icosagon integers intelligent guessing line segments logical reasoning strategy look method multiple NCTM obtain odd number organize the data organizing data original problem pairs palindromes parallelogram Parsifal pattern strategy pentagram perfect squares player point of view poison ivy possible prime number problem-solving strategies puppy rabbits represents the number right triangle scores sequence sides simpler analogous problem Solution The traditional SOLVE MATHEMATICS PROBLEMS solve this problem solving a simpler square units STRATEGY IN EVERYDAY STRATEGY TO SOLVE subtracting testing strategy total number train variables visual representation yields

About the author (2008)

Alfred S. Posamentier is professor of mathematics education and dean of the School of Education at the City College of the City University of New York. He has authored and co-authored several resource books in mathematics education for Corwin Press. Stephen Krulik is professor of mathematics education at Temple University in Philadelphia, where he is responsible for the undergraduate and graduate preparation of mathematics teachers for Grades K-12, as well as in the inservice training of mathematics teachers at the graduate level. He teaches a wide variety of courses, among them the History of Mathematics, Methods of Teaching Mathematics, and the Teaching of Problem Solving. Before coming to Temple University, he taught mathematics in the New York City public schools for 15 years, where he created and implemented several courses designed to prepare students for the SAT examination. Nationally, Krulik has served as a member of the committee responsible for preparing the Professional Standards for Teaching Mathematics of the National Council of Teacher of Mathematics (NCTM). He was also the editor of the NCTM’s 1980 yearbook Problem Solving in School Mathematics. He is the author or co-author of more than 20 books for teachers of mathematics, including Assessing Reasoning and Problem Solving: A Sourcebook for Elementary School Teachers. He has served as a consultant to and has conducted many workshops for school district throughout the United States and Canada, as well as delivering major presentations in Austria, Hungary, Australia, and international professional meetings, where his major focus is on preparing all students to reason and problem-solve in their mathematics classroom, as well as in their lives. Krulik received his BA degree in mathematics from Brooklyn College of the City University of New York, and his MA and EdD in mathematics education from Columbia University’s Teachers College.

Bibliographic information

TitleProblem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12: A Resource for the Mathematics Teacher
AuthorsAlfred S. Posamentier, Stephen Krulik
Edition2, illustrated
PublisherSAGE Publications, 2008
Original fromthe University of California
Digitized8 Jan 2011
ISBN1412959705, 9781412959704
Length260 pages
Subjects ›  ›  › 

Education / Decision-Making & Problem Solving
Education / Schools / Levels / Secondary
Education / Teaching / General
Education / Teaching / Subjects / Mathematics
Juvenile Nonfiction / Mathematics / General
  
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