Mathematics tutoring centres exist in varying forms at universities across the United States of America. Despite having similar goals, these centres vary a great deal in their practices, resources, and organizational structures. In this study, the researchers conducted a survey of mathematics tutoring centres in the United States in an effort to…

In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…

In this paper, the authors discuss their experiences with ungrading at a small public university in the U.S. and a large public university in Germany. The courses described are Calculus 1 and a content course for pre-service secondary teachers of mathematics. The professors teach differently: one with lecture, the other with inquiry-based…

Researchers have been interested in students' transition to calculus since the early 1900s. One line of inquiry highlights students' understandings of high school mathematics as impeding or supporting their successful transition to university mathematics. This paper addresses an underlying question in this line of inquiry: does school mathematics…

Though there has been limited empirical research on the cost component from the expectancy-value model, a recent interest in the construct has spurred advances in theory and measurement. We present a longitudinal analysis of four types of cost: effort, loss of valued alternatives, emotional, and outside cost. We focus on how cost changes over time…

In this article we study the conceptions of an American and a French group of undergraduate pre-service teachers regarding the concept of independent events. Specifically, we study the role that intuition plays in their answers, ascertain the presence of probabilistic biases, and compare the findings with previous results collected on a different…

ACTA's What Will They Learn?® (WWTL) project is designed to help students choose the best college or university for them. The printed report and its online companion WhatWillTheyLearn.com represent the only assessment of U.S. colleges and universities that focuses on what schools are actually teaching. This report assigns grades to over 1,130…

This work discusses the creation and use of infographics in an undergraduate mathematics course. Infographics are a visualization of information that combines data, formulas, and images. This article discusses how to form an infographic and uses infographics on topics within mathematics and climate as examples. It concludes with survey data from…

In the United States, colleges and universities have traditionally undertaken the important task of preparing citizens to participate fully and effectively in the civic, political, and economic spheres of the republican system. They have done so by joining a general education curriculum--common to all students--to an area of specialized knowledge,…

Ten years ago, the American Council of Trustees and Alumni (ACTA) gathered data on 100 colleges from the U.S. News & World Report's annual list of "Best Colleges and Universities." ACTA questioned whether these elite institutions were requiring their students to take rigorous, college-level courses in the core areas crucial for…

Formative assessment is the process by which teachers and students gather evidence of learning and then use this to adapt the way they teach and learn. I describe a design research project in which we integrated formative assessment strategies into lesson materials that focus on developing students' conceptual understanding and their capacity to…

We surveyed fifty leading undergraduate business schools concerning their statistics requirements. We report on many aspects including credit-hours required, topics covered, computer integration, faculty background, teaching pedagogy, textbooks, and recent and proposed changes. (Contains 8 tables.)

There is general agreement in Australia and beyond that quantitative skills (QS) in science, the ability to use mathematics and statistics in context, are important for science. QS in the life sciences are becoming ever more important as these sciences become more quantitative. Consequently, undergraduates studying the life sciences require better…

This article offers modelling opportunities in which the phenomena of the spread of disease, perception of changing mass, growth of technology, and dissemination of information can be described by one differential equation--the logistic differential equation. It presents two simulation activities for students to generate real data, as well as…

One goal of an undergraduate education in mathematics is to help students develop a productive disposition towards mathematics. A way of conceiving of this is as helping mathematical novices transition to more expert-like perceptions of mathematics. This conceptualization creates a need for a way to characterize students' perceptions of…