The history of formal mathematical proofs is sketched out, starting with the Greeks. Included in this document is a chronological guide to mathematics and the world, highlighting major events in the world and important mathematicians in corresponding times. (MP)

Explores mathematical methods children use to find answers for themselves. Describes some methods used for multiplication and subtraction problems. (YP)

Discusses a performance assessment tool that entails open-ended tasks requiring students not only to provide answers but to show their solution processes. Discusses several areas to address in developing open-ended tasks. Areas include the need to assess important mathematical content and cognitive processes, use of effective prompts, and use of…

After noting that research and development reports indicate that there are strong psychological arguments for approaching algebraic concepts through the use of computer programming, the work of the Nottingham Programming in Mathematics Project with pupils aged 11-13 is briefly described. What is meant by understanding of a concept and how pupils…