Understanding the Transition between High School and College Mathematics and Science

Mathematics and science education is gaining increasing recognition as key for the well-being of individuals and society. Accordingly, the transition from high school to college is particularly important to ensure that students are prepared for college mathematics and science. The goal of this study was to understand how high school mathematics and science course-taking related to performance in college. Specifically, the study employed a nonparametric regression method to examine the relationship between high school mathematics and science courses, and academic performance in college mathematics and science courses. The results provide some evidence pertaining to the positive benefits from high school course-taking. Namely, students who completed high school trigonometry and lab-based chemistry tended to earn higher grades in college algebra and general chemistry, respectively. However, there was also evidence that high school coursework in biology and physics did not improve course performance in general biology and college physics beyond standardized test scores. Interestingly, students who completed high school calculus earned better grades in general biology. The implications of the findings are discussed for high school curriculum and alignment in standards between high schools and colleges

Quanta Mathematica Instrumentalis!

Quanta mathematica instrumentalis, from Latin, might mean How much mathematics for physical applications. But we try to give this expression another meaning. \ud We discuss how mathematics and its instrumental nature could serve as paradigm for other human activities and science in general. We introduce notions of higher observer and field of information. We discuss question why we are to study and develop mathematics more diligently than we do in natural way.\u

Popularizing mathematics: from eight to infinity

It is rare to succeed in getting mathematics into ordinary conversation without meeting all kinds of reservations. In order to raise public awareness of mathematics effectively, it is necessary to modify such attitudes. In this paper, we point to some possible topics for general mathematical conversation

Students' perspectives on the nature of mathematics

This paper reports on one small component of a much larger study that explored the perspectives of students towards mathematics learning. Students were asked “What do you think maths is all about?” Some students responded in terms of mathematical content. Others commented on learning in general, or on problem-solving in particular. Some students talked about the usefulness of mathematics for everyday life. An overwhelming number of students answered the question by talking about the importance of mathematics for the future

Changing patterns of transition from school to university mathematics

There has been widespread concern over the lack of preparedness of students making the transition from school to university mathematics and the changing profile of entrants to mathematical subjects in higher education has been well documented. In this paper, using documentary analysis and data from an informal case study, we argue the antecedents of this changed profile in the general shift across all subjects to a more utilitarian higher education, alongside the more specific changes in A-level mathematics provision which have been largely market driven. Our conclusions suggest that, ironically, changes put in place to make mathematics more widely useful may result in it losing just those features that make it marketable

On the Job Mathematics

What kind of course work is appropriate for a general education mathematics requirement? In most instances, students see a presentation of one or more mathematical topics followed by some applications. Sometimes these applications are characterized as ‘real world’ even though no person would ever be paid to work the problems that students are given. We will describe an approach to this issue that requires students to replicate mathematical work that is done by people who want to keep their jobs. Only a small minority can make money doing mathematics for entertainment. Hence, we omit for this category everyone employed in a mathematics department. On this account, our approach is, by necessity, an interdisciplinary one

Mathematics, computers in mathematics, and gender: public perceptions in context

In Australia, national tests of mathematics achievement continue showing small but consistent gender differences in favor of boys. Societal views and pressures are among the factors invoked to explain such subtle but persistent differences. In this paper we focus directly on the beliefs of the general public about students’ learning of mathematics and the role played by computers, and then we compare the findings with data previously gathered from students. Although many considered it inappropriate to differentiate between boys and girls, gender based stereotyping was still evident