This article presents different approaches to a problem, dubbed by the author as "the consecutive pages problem". The aim of this teaching-oriented article is to promote the teaching of abstract concepts in mathematics, by selecting a challenging amusement problem and then presenting various solutions in such a way that it can engage the attention…

Investigates the effects of two context variables on the performance of seventh-grade students on a qualitative and numerical proportional reasoning test. Explores the nature of the relationships between rational number skills, qualitative reasoning about ratios, and numerical proportional reasoning. (Author/YP)

To detect the underlying structural relationship or chain among certain memorized pairs, two groups of undergraduates verbally reordered previously memorized pairs of either concrete or abstract nouns. The superior performance of the concrete word subjects was attributed to the differential effect of imaginal versus verbal encoding. (Author/CP)

Concepts in recursive functional programing form the basis of a course designed to introduce Humanities and Social Science students to computer programing. Unlike many introductory courses, recursion was taught prior to any mention of iteration or assigned operations. LOGO, a non-numeric language originally invented for use by children, was chosen…

This paper describes the rationale behind and the development and utilization of a bibliographic instruction course which incorporates formal abstract reasoning skills. The limitations of the search strategy technique of bibliographic instruction are discussed as well as the fact that many college students have not developed sophisticated…

In 1986 the United States (U.S.)-Japan Seminar on Mathematical Problem Solving convened to compare the state of problem solving in the classroom and in research in the two countries. The data and results given in this paper are the results of research conducted in the United States in response to the 1986 seminar. The U.S. and Japanese research…