Contexts are currently enjoying much prominence in school mathematics. Generally, the contextual issues and situations learners are exposed to and deal with in Mathematical Literacy are, with good reason, determined by curriculum, learning resource and test designers. This article reports on a study that investigated contexts that learners would…

This paper reports on the views of school and college students in the 14-18 age range on mathematics and its applications. The findings relate to the perceived relevance of mathematics and to choices for sixth form study.

What people mean by randomness should be taken into account when teaching statistical inference. This experiment explored subjective beliefs about randomness and probability through two successive tasks. Subjects were asked to categorize 16 familiar items: 8 real items from everyday life experiences, and 8 stochastic items involving a repeatable…

The paper is based on research carried out on secondary school students and students commencing their university studies in mathematics. The basic purpose of the research was to investigate the understanding of the concept of a sequence and to determine the sources of the formation of revealed conceptions. To achieve the objectives an expanded set…

Researches in Mathematics Education about proof by contradiction revealed some difficulties of the students but also that this kind of argumentation comes spontaneously in certain situations. In this paper we shall show some processes that might lead the student to produce a proof by contradiction. In particular, we shall point out a deep link…

It seems self-evident that there is a significant gap between secondary school and university mathematics, even though the gap may take different forms, which vary with different education systems in different places and at different times. This paper attempts to capture some common forms of this gap, and in particular, it discusses some core…

Mathematical optimization problems are not typical in the classical curriculum of mathematics. In this paper we show how several generalizations of an easy problem on optimal transportation were solved by gifted secondary school pupils in a correspondence mathematical seminar, how they can be used in university courses of linear programming and…

Since 1959, ACT has collected and reported data on students' academic readiness for college. Because becoming ready for college is a process that occurs throughout elementary and secondary education, measuring academic performance over time in the context of college readiness provides meaningful and compelling information about the college…

In this paper we report on some patterns of reasoning, which emerged during an activity of proving a mathematical statement performed by nine grade and university mathematics students. The statement in question involves drawing figures, working in arithmetic and in algebra. As for secondary students we detected fluency, flexibility and ability of…

"Informed math self-placement," a program implemented at American River College in Sacramento, California, to determine students' readiness for college-level math, has been in place for three years. This case study describes the development and implementation of math self-placement at American River. Math self-placement consists of a…

This submission contains the Proceedings of the 2003 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Acadia University in Wolfville, Nova Scotia. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…

On the 2000 National Assessment of Educational Progress (NAEP) math, 17 percent of high school seniors scored at the "proficient" level --just under half the percentage scoring at that level on the NAEP reading test. Twenty-two percent of college freshmen are identified as needing remedial math, according to the National Center for…

The work of this committee has been done in large part by three subcommittees, as follows: (1) On men's colleges; (2) On women's colleges; and (3) On coeducational colleges. The facts presented in these reports have been gathered from 60 or more leading colleges by the Bureau of Education through the use of a questionnaire, and have been…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference presents papers from: plenary panels; research forums; working sessions; discussion groups; short oral communications; and poster sessions from the meeting. Plenary lectures included: (1) Studying and Capturing the Complexity of Practice: The Case of…

This study makes available the findings of the research in the teaching of mathematics reported to the U.S. Office of Education during the calendar years 1959 and 1960. To secure the data for this study the U.S. Office of Education, with the aid of the Research Committee of the National Council of Teachers of Mathematics, sent a questionnaire to…