WEBSITES

Each week has a webliography with resources on the particular topic of that week. The web sites listed below are more general web sites on areas in problem solving. 21st Century Problem Solving - one of the leading web sites on what is called problem solving literacy http://www2.hawaii.edu/suremath/home.html Dale Seymour Publications on Problem Solving - Book publishers have many resources for teachers. For example, the Pearson Learning now handles the Dale Seymour publications which is well-known for their variety of math activity books http://www.pearsonlearning.com/plearn/html/cat_7.cfm?prog_id=437 Challenging Math Problems http://donut.math.toronto.edu/~naoki/mathprob.html EAI Material for Learning Math and Science - a commercial site of a company located in NJ with attribute materials, patterns and number sense, counting and sorting,, probability, and problem solving activities and manipulatives. Jackie Cooke's Problem Solving Web sites - an excellent resource page with lots of good links to problem solving activities! Jackie has been teaching in elementary classrooms around the Portland, Oregon area since 1981 and serves as the N.C.T.M. Representative for the Oregon Council Teachers of Mathematics(O.C.T.M.). http://westgresham.gresham.k12.or.us/jcooke/prob.html Math Competitions on the Web http://donut.math.toronto.edu/~naoki/comp.html Math Forum's Problem Solving Resources http://forum.swarthmore.edu/library/topics/problem_solving/ NCTM's Principles and Standards for School Mathematics - with examples, lesson plans and resources linked to the standards. http://standards.nctm.org/ NCTM's Electronic Examples - Internet activities matched with the standards at all grade levels http://standards.nctm.org/document/eexamples/index.htm The Northwest Regional Educational Laboratory - their list of web resources to problem solving http://www.nwrel.org/msec/mpm/resources.html with also a listserv on problem solving in mathematics you can join http://mail.nwrel.org/scripts/lyris.pl?enter=prob-solve-teaching&text_mode=0 as well as a special project called the Problem-Solving Model which trains teachers in problem solving. However, their lesson plans are only available to teachers who have taken their workshop! http://www.nwrel.org/msec/mpm/index.html Problem Solving In Mathematics - a group of problems suitable for grades 6 - 12 using the methods: Guess and Check, Look for a Pattern, Make A Systematic List, Make A Drawing Or Model, and Simplify the Problem http://jersey.uoregon.edu/~chuckp/ Project Interactivate - many interactive Mathematics lesson plans on the Internet http://www.shodor.org/interactivate/ Resource Page on Mathematical puzzles - develop be Juha Puranen, Department of Statistics, University of Helsinki http://noppa5.pc.helsinki.fi/p2.html Role of calculators in the classroom - a collection of papers on use of calculators http://ued.uniandes.edu.co/servidor/em/recinf/tg18/Base/WWWfiles-1.html

 

Books

Alexander, V. T. and E. G. Phadia. Probability and Statistics: A No Nonsense Appoach. Reading, CA: C. T. Publishing, 1995. Angel, A. & S. R. Porter. A Survey of Mathematics with Applications. New York: Addison Wesley, 1989. Applebaum, P. "Eight Critical Points for Mathematics" in  Perspectives in Critical Thinking: Essays by Teachers in Theory and Practice, edited by Dan Weil, New York, NY: Peter Lang Publihsing, Inc., 1999. Bamberger, H., and P. Hughes. Super Graphs, Venns, and Glyphs: Hundreds of Great Data Collecting Activities to Build Real-Life Math Skills. NY: Scholastic, Inc. 1996. Baron J. and R. Sternberg. Teaching Thinking Skills: Theory and Practice. New York: W. H. Freeman and Company, 1987. Bennett, J. O. and W. K. Briggs, Understanding and Using Mathematics: A Quantitative Reasoning Approach. Readinh, MA; Addison- Wesley, 1999. Bennett, A. B. and L. T. Nelson. Mathematics for Elementary Teachers: A Conceptual Approach. New York, McGraw-Hill, 1998. _____________________, Mathematics for Elementary Teachers: An Activity Approach. New York, McGraw-Hill, 1998. Botermans, J. and P. van Delft. Creative Puzzles of the World. New York: Harry N. Abrams, Inc.1978. Bradley, G. Problem Solving with Creative Mathematics. New York: Brtooks/cole Publihsing Company, 1995. Brown, S. and M. Walter. The Art of Problem Posing. Hillsdale, New Jersey : Lawrence Erlbaum Associates, 1983. Burril, G. and P. Hopfensperger. Exploring Statistics with the TI-81. Reading, MA: Addison-Wesley, 1993. Fisher, L. and W. Medigovich. Problem of the Week. Palo Alto: Dale Seymor Publications, PO Box 10888, Palo Alto, CA 94303, 1981. Greenes, C., J. Gregory, and D. Seymor. Successful Problem Solving Techniques. Palo Alto: Creative Publications, Inc. 1977. __________ and Others. The Mathworks: A Handbook of Activities for Helping Students Learn Mathematics. Palo Alto: Creative Publications, Inc. 1982. Halmos, P. Naive Set Theory, from the University Series in Undergraduate Mathematics, New York: D. Van Nostrand Company, Inc. 1960. Harvey, L. and A. Roper. The Pattern Factory-Elementary Problem Solving Through Patterning. Palo Alto: Creative Publications, Inc. 1978. Hayes J. The Complete Problem Solver. Hillsdale, NJ: Lawrence Erlbaum Associates Publishers, 1987. Hersh, R. What is Mathematics, Really? NY: Oxford University Press, 1997.  Johnson, D. B. and T. A. Mowry. Mathematics: A Practial Odyssey. New York: PWS Publishing Company, 1995. Judd, W. Patterns to Play on a Hundred Chart. Palo Alto, CA: Creative Publications, 1975. Kordensky, B. The Moscow Puzzles. New York, Scribner, 1972. Krantz, S. G. Techniques of Problem Solving. Washington, D.C.: AMS, 1991. Krulik, S. and J. Rudnick. Problem Solving: A Handbook for Teachers. Palo Alto: Creative Publications, Inc. 1980. __________. A Sourcebook for Teaching Problem Solving. Newton, MA: Allyn and Bacon, 1984. __________. and R. E. Reys. Problem Solving in School Mathematics. National Council of Teachers of Mathematics, 1906 Association Drive, Reston, Virginia 22091. 1980 Yearbook. Krutetskii, V. A. The Psychology of Mathematical Abilities in Schoolchildren. Chicago: University of Chicago Press, 1976. Landwehr, J. M. and A. E. Watkins. Exploring Data. Palo Alto, CA: Dale Seymour Publications, 1987. Lochead, J. and J. Clement. Cognitive Process Instruction. Philadelphia: The Franklin Press, 1979. Newman, C. M., T. E. Obremski, and R. L. Schaeffer. Exploring Probability. Palo Alto, CA: Dale Seymour Publications, 1987. O'Daffer, P. G. and B. Thomquist. Critical Thinking, Mathematical Reasoning, and Proof. in Research Ideas for the Classroom: High School Mathematics, Patricia S. Wilson (ed.) NY: Macmillan/NCTM, 1993. Piaget, J. The Psychology of Intelligence. Totowa: Littlefield, Adams, 1981 Philips, E., G. Lappan, M. J. Winter, aand W. Fitzgerald. Probability. from the Middle Grades Mathematics Project. Reading, MA: Addison-Wesley Company, 1986. Polya, G. How To Solve It, Princeton, NJ: Princeton University Press, 1945. Roberts, A. W. adn D. E. Varberg. Faces of Mathematics. NY: Harper & Row, 1978. Sacco, W., W. Copes, C. Sloyer, and R. Stark Dynamic Programming: An Elegant Problem Solver. Providence, Janson Publications, 1987. ______. Graph Theory: Euler's Rich Legacy. Providence, Janson Publications, 1987. ______. Glyphs: Getting the Picture. Providence, Janson Publications, 1987. ______. Mathematics and Medicine: How Serious is the Injury? Providence, Janson Publications, 1987. ______. Queues: Will This Wait Never End? Providence, Janson Publications, 1987. Schoenfield, A. H. Mathematical Problem Solving. New York: Academic Press, 1985.  ______. Problem Solving in the Mathematics Curriculum: A Report, Recommendations, and an Annotated Bibliography. MAA Notes, Number 1, 1983. Seymor, D. and M. Shedd. Finite Differences - A Problem Solving Technique. Palo Alto: Creative Publications, Inc. 1973. Smith, D. B. and W. Topp. An Activity Approach to Elementary Concepts of Mathematics. Reading, MA: Addison-Wesley Publishing Company, 1981. Tufte, E. Envisioning Information. Cheshire, CT; Graphics Press,1990. _________. The Visual Display of Quantitative Information. Chesshire, CT; Graphics Press,1983. _________. VisualExplanations. Cheshire, CT; Graphics Press,1997. Whimby, A. Analyzed Reading and Reasoning. Stamford, Connecticut: Innovative Sciences, 1983. ______ and J. Lockhead. Beyond Problem Solving and Comprehension. Hillsdale, NJ: Lawrence Erlbaum Associates, Publishers, 1984. ______ and L. Whimby. Intelligence Can Be Taught. New York: E. P. Hutton, 1975 Yackel, E. "Children's Talk in Inquiry Mathematics Classrooms." in The Emergence of Mathematical Meaning: Interaction in Classroom Cultures, P. Cobb & H. Bauresfeld (Eds.), pp. 131-162. Hillsdale, NJ: Lawrence Erlbaum,1995.

 

Journals

Journal of Computers in Mathematics and Science Teaching AACE PO Box 2966 Charlottesville, VA 22902 website: http://www.aace.org NCTM Journals NCTM Headquarters 1906 Association Drive Reston, VA 20191-9988 website: http://www.nctm.org Journal for Research in Mathematics Education (JRME) http://www.nctm.org/jrme/jrme.html Mathematics Teaching in the Middle School (MTMS) http://www.nctm.org/mtms/mtms.htm Mathematics Teacher (MT) http://www.nctm.org/mt/mt.htm Teaching Children Mathematics (TCM) http://www.nctm.org/tcm/tcm.htm

 

 

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