This article describes a learning community for early-career faculty in the sciences aimed at course redesign and active-learning. Through findings from surveys, interviews, and observations, program outcomes regarding faculty teaching skills and confidence, understanding of how students learn, and use of assessment are explored. Finally, the…

The issue of student success is a common concern in the typical community college, and no less so at Santa Fe Community College (SFCC) in New Mexico. As a result of a comprehensive program review of student success rates in mathematics, the Mathematics Departments in the Divisions of Arts and Sciences and Developmental Studies collaborated on…

At some point between elementary and junior high school, something seems to occur that generates a rooted dislike toward the scientific disciplines in general and mathematics in particular. This results in most students in developmental education associating the word math with a series of illogical rules, totally disconnected from reality and…

From a very young age, shoes for boys tend to be wider than shoes for girls. Is this because boys have wider feet, or because it is assumed that girls are willing to sacrifice comfort for fashion, even in elementary school? To assess the former, a statistician measures kids' feet. (Contains 2 tables and 3 figures.)

Forty-two studies comparing students with access to graphing calculators during instruction to students who did not have access to graphing calculators during instruction are the subject of this meta-analysis. The results on the achievement and attitude levels of students are presented. The studies evaluated cover middle and high school…

In this theoretical essay the psychological aspects of genetic approach to teaching mathematics (mainly at universities) are discussed. Analysis of the history and modern state of genetic teaching shows that its psychological aspects may be explained using both Vygotskian and Piagetian frameworks. Experience of practice of mathematical education…

This paper explores the role of instructional scaffolding in the development of undergraduate students' understanding of mathematical proof during a one-year discrete mathematics course. We describe here the framework adapted for the analysis of whole-class discussion and examine how the teacher scaffolded students' thinking. Results suggest that…

In this paper, we discuss the (potentially positive) pedagogical role of intrinsic limitations of computational descriptions for mathematical concepts, with special focus on the concept of derivative. Our claim is that, in a suitable approach, those limitations can act for the enrichment of learners' concept images. We report a case study with a…

Brownian motion is an important stochastic process used in modelling the random evolution of stock prices. In their 1973 seminal paper--which led to the awarding of the 1997 Nobel prize in Economic Sciences--Fischer Black and Myron Scholes assumed that the random stock price process is described (i.e., generated) by Brownian motion. Despite its…

Courses below calculus need to be refocused to emphasise conceptual understanding and realistic applications via mathematical modelling rather than an overarching focus on developing algebraic skills that may be needed for calculus. Without understanding the concepts, students will not be able to transfer the mathematics to new situations or to…

There is a call for change in College Algebra. The traditional focus on skill development is failing, resulting in withdrawal and failure rates that are excessive. In addition, too many students who are successful do not continue on to take a successive mathematics course. The Institute for Mathematics Learning at West Virginia University has been…

Using Kazemi's and Stipek's (2001) framework of classroom practice, the discourse between students enrolled in a mathematics-for-teachers course and their instructor is examined. The teacher's practice is in transition from a focus on having students share multiple strategies toward a practice that additionally includes the mathematical…

In this paper we explore issues surrounding university students' experiences of statistics drawing on data related to learning statistics as a compulsory component of psychology. Over 250 students completed a written survey which included questions on their attitudes to learning statistics and their conceptions of statistics. Results indicated…

Analysis of variance (ANOVA), a technique included in many introductory statistics courses, analyzes the relationship between a quantitative dependent variable and one or more independent qualitative variables. The nature of the relationship is expressed in a model with unknown parameters. Many textbooks emphasize the mechanics of the technique…

Unless the sample encompasses a substantial portion of the population, the standard error of an estimator depends on the size of the sample, but not the size of the population. This is a crucial statistical insight that students find very counterintuitive. After trying several ways of convincing students of the validity of this principle, I have…