Describes a study to determine middle school children's representational strategies to form part-whole or part-part relationships for relational numbers such as proportions, ratios, or fractions. Quantitative and qualitative analysis revealed that children prefer a part-part representation to solve relational quantity problems. (15 references)…

Asserts that college students lack understanding of the concept of function. Based on an epistemological theory, offers an instructional treatment using computers that presents a process concept of function and results in substantial improvements in student understanding for many students. (29 references) (MDH)

Describes the new development of mathematics education in the Peoples Republic of China. Explains changes that happened in the National Curriculum, teaching research, and the progress of our pupils. (Author)

Describes the curriculum of the Master of Science in Mathematics Education program offered at the National Autonomous University of Mexico. The curriculum is designed to upgrade the mathematics education background of high school mathematics teachers who enter teaching with degrees in mathematics or science related fields. (MDH)

Divided into two parts, this article analyzes why some pupils feel reserve about instantaneous velocities and instantaneous flows. The second part relates reactions of pupils facing a problem that implicates the instantaneous rate of change. Describes some characteristics of this problem that enables the authors to explain its instructional…

Learning environment that facilitated the acquisition and expression of procedural skills in LOGO was set up for children in the 10- to 12-year range. Ten participants were placed in a series of situations that required them to manipulate programing procedures in LOGO. Analysis of children's behavior revealed their competence in manipulating…

This article is concerned with the learning of mathematics before the commencement of formal schooling. Describes the experiences of two students from four main sets of data: formal and informal measures of mathematics achievement, the learning environment in the home, and observations during teacher-led sessions concerned with mathematical…

Provides new evidence for mathematical problem-solving abilities of preschool children. These problem-solving behaviors occurred in a study of sharing of discrete items by dealing, in which we examined the abilities of three categories of counters to solve a discrete redistribution problem. Identifies problem-solving strategies used in the context…

Results of a comparison of Papua New Guinea bilingual and monolingual students' (n=232) mathematics achievement indicated that bilingual students competent in both languages scored significantly higher on two different types of mathematical tests than both low-competent bilingual students and monolingual students. (32 references)

Presented is the development of school geometry in contemporary Greece since the era in which the secondary education system was established (1836). Identified and interpreted are the reasons for the endurance of Euclid's Elements as the basic component of school geometry in Greece. (KR)

Investigated is whether children would spontaneously model problems with superfluous information and whether their modeling would facilitate problem solving. Included are the addition/subtraction story problems used in this study, introduction, method, results, discussion, and conclusions. (KR)

Discussed is the question of teachers' knowledge about mathematical topics. The building of an analytic framework of subject matter knowledge for teaching the topic of functions in mathematics is demonstrated. Discussed is the construction of mathematics courses prospective mathematics teachers take. (KR)

Reported are the effects of a conceptually oriented unit on decimal fractions. The relationships between short-term changes in solving processes and the stability of these processes over time, performance of students, and entry achievement level and the long-term effects of conceptually based instruction are discussed. (KR)

Described are the conceptions held by United States and Israeli students about multiplication and division that may impede their work with decimals. Included are the introduction, method, division and multiplication task results, and the implications for education and textbook development. (KR)

Discussed is the type of evidence children find to be convincing using either empirical or deductive methods to justify propositions which they consider to be true. Included are the problem, research design, and the conclusion. (KR)