Some+Good+Problems+and+Where+to+Find+More

=This page is intended to be repository for good problems and links to web sites at which other good problems may be located.=

Upload any good problems you have used as image, Word or .pdf files to the wiki and then place a link to them on this page. Please include an explanatory note indicating: • appropriate grade level(s) or course. • strand or topic relevance. If the problem comes from a published source, please include full bibliographic information and credit the author.  Please identify yourself so other participants may contact you to discuss the problem and how you used it.

[Added by David Zimmer] I have used this problem with teachers and students from grade 5 through secondary school. Generally, elementary kids do better than secondary students and elementary teachers solve it more quickly than secondary teachers.

The complete set of Figure This problems was sent to NCTM members a few years ago on a CD-ROM, but all the problems are available at [|Figure This]. In addition to the problems, there is a lot more good stuff here.

[Added by David Zimmer] Based on a problem from __**Mathematical Activiti**es**: a resource book for teachers**__ by Brian Bolt; Cambridge Univerity Press, Cambridge, 1984. This problem is simple, challenging and has a surprising solution. It is appropriate for grade 7+ and involves number, and patterning and algebra.

Solution: L + W - GCF (L, W)

[Added by David Zimmer] Based on a problem from __**More Mathematical Activiti**es**: a resource book for teachers**__ by Brian Bolt; Cambridge Univerity Press, Cambridge, 1985. This problem is simple, challenging and has a surprising solution. It is appropriate for grade 7+ and involves patterning.

[Added by David Zimmer] One of several interesting pieces of data connected to real world events that can be found at http://exploringdata.cqu.edu.au/datasets.htm. I have used it in grade 9 when talking about cause-and-effect relationships and in grade 12 Data Management.

[Added by David Zimmer] We tend to focus on deductive reasoning in math classes: proof, determine the missing value, solve a well-defined problem, etc. The inquiry component of problem solving is often left untouched. In 1956, [|Robert Abbott] invented the game //**Eleusis**// that allows players to focus on the inductive side of problem solving. I have played this game with grade 9's as well as grade 13 and OAC (remember them?) students.

Depending on the rules used, it meshes with patterning and algebra, number and certainly reasoning and thinking.

A simplified version of the game was developed by John Golden. You can find a printable version of the rules at [|Eleusis Express].