In this article, the author shows some simple examples of ways in which "Autograph" can enhance learning in the KS3 curriculum. He began using version 2 with A-level students to help them visualise concepts in pure mathematics. He has "Autograph" projected to the front board to keep learners focused on mathematical activity…

Teacher preparation curriculum at Technion--Israel Institute of Technology (Israel) includes courses intended to bridge the gap between the pure mathematics courses and those in psychology. The focus of this paper is an experimental program for one of these courses and data collected while implementing it. This is a second report on a naturalistic…

This study examined the role and development of applied problem solving in mathematics education in the Finnish comprehensive school. The development during the 1980s of applied problem solving in schools was positive in many ways: the changes were cautious and took place more slowly than had been planned; and many obstacles related to the…

Science and mathematics share a common purpose: to explore, understand and explain the pure beauty of our universe and how it works. Using mathematics in science enquiry can enhance children's understanding of science and also provide opportunities for children to apply their mathematical knowledge to "real" contexts. The authors…

This document describes the contributions of African peoples to the science of mathematics. The development of a number system is seen as related to need. Names of numbers, time reckoning, gesture counting, and counting materials are examined. Mystical beliefs about numbers and special meanings in pattern are presented. Reproductions of patterns,…

The methods that we teach students for computing with units of measurement are often not consistent with the practice of professionals. For professionals, the vast majority of computations with quantities of measure are performed within programs on electronic computers, for which an accounting for the units occurs only once, in the design of the…

This study considers the effects of course types on reading, mathematics, and critical thinking skill gains for college freshmen. Course groups, arranged hierarchically in three tiers from large groupings down to individual courses, are used as units for analysis. Both Hard Applied and Hard Pure Biglan-paradigm course groups contributed to…

Reports students were more successful in estimation for a problem in context than for the pure computation. Describes students' strategies to make estimates in context. Discusses how to teach estimation. (YP)

Prisoner's Dilemma is a common game theory scenario in which two players must choose between acting cooperatively or out of pure self-interest. What a player decides affects not only his own outcome but also that of the other player. "Friend or Foe," a TV game show that has appeared on the cable Game Show Network (GSN), places pairs of contestants…

Described is a geometric view of Singular Value Theorem. Included are two theorems, one which is a pure matrix version of the above and the other that leads to the orthogonal diagonalization of certain matrices, i.e., the Spectral Theorem. Also included are proofs and remarks. (KR)

Describes a problem-solving activity integrating a laboratory investigation with a database activity using Appleworks. Presents typical displays of the databases. The objective of the laboratory was to determine the identity of a pure substance by measuring physical properties and searching the database. (Author/YP)