In introductory math courses such as precalculus, students often have difficulty with assignments that require explanations or synthesizing knowledge. When students receive low scores on such assignments, instructors often wish to help students understand the material they struggled with. A common strategy is to allow the students to revise and…

Peter Liljedahl describes a Building Thinking Classrooms (BTC) framework that shows teachers how to set up a classroom that promotes thinking. BTC is divided into 4 toolkits. The first toolkit consists of thinking tasks, vertical non-permanent surfaces, and visibly random groups. The second pertains to defronting the classroom, giving thinking…

This article considers starting with an existing SIMIODE modeling scenario [Winkel, B. (2015). 1-031-CoolIt-ModelingScenario. SIMIODE (Version 2.0). "QUBES Educational Resources." https://doi-org.bibliotheek.ehb.be/10.25334/3WG8-EC31] that develops Newton's law of cooling by considering data on the cooling of a beaker of water in a room, and expanding upon…

Calls to increase the number of STEM graduates on a global scale have created pressure on universities to graduate higher numbers of quality engineers. In response, many engineering and mathematics departments have begun to develop variations of calculus courses specifically for engineering majors. Using a mixed methods research design, we…

We investigate how an inquiry-oriented, dynamic, open-source calculus textbook shaped one college instructor's planning. We rely on Dietiker et al.'s [(2018). Research commentary: Curricular noticing: A framework to describe teachers' interactions with curriculum materials. "Journal for Research in Mathematics Education," 49(5), 521-532.…

This study is concerned with the analysis of mathematical textbook tasks at the second-level in Ireland, in the context of the introduction of the revised curriculum entitled 'Project Maths'. A total of 7635 tasks on the topics of Pattern, Sequences and Series, and Differential Calculus were analysed; these tasks were selected from editions of…

As part of a departmental reform project, a large University converted a "Precalculus College Mathematics" lecture-based course for 97 students into an active learning flipped classroom for first-year engineering students. The curriculum was designed specifically to provide applications of pre-calculus in various engineering subjects.…

Business Statistics is a required course for undergraduate business majors and presents significant challenges for students with weak quantitative and critical thinking skills. This paper shows that changing the pre-requisite for the Business Statistics course from Business Calculus to Probability and Statistics makes a significant positive…

Documents specifying a national mathematics curriculum for grades K-12 have recently been written in Israel. We focus on the calculus component for the highest of three matriculation bound levels, and specifically on the influence of research on this component. In addition to issues of content, we identify three principles that have led the…

Faced with students failing to complete Calculus 1 at rates of almost 50%, the Department of Mathematics at Western Michigan University addressed the lack of progression of STEM majors through this gateway course and, thus, through their intended majors. In this case study, we describe the four-year process of redesigning our single variable…

This is a study of student engagement with computational labs in Calculus 2. The labs task students with using MATLAB to investigate contexts such as rocket science, disease modeling, and market economics forecasting by modifying and executing provided code, guided by questions that have students report the results of their simulations or…

This article describes the revision of a Business Calculus course at a medium-sized, northwestern university. The purpose of this manuscript is to describe the need for a redesign of the Business Calculus course, conversations among math and business faculty about the course changes, the development of the new course, and the addition of a…

A study was conducted considering a mathematics learning center as a figured world, that is, as a social space that is treated as if individuals within the space share certain meanings about the space and interactions within it (Holland et al., 1998) from the perspective of the undergraduate peer tutors employed in it (for the larger study, see…

The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…

The Forty Fifth Annual meeting of the North American chapter of the International Group for the Psychology of Mathematics Education was held PME-NA 45 in Reno, Nevada, October 1-4, 2023. The conference theme is "Engaging All Learners." Math learning should be a joyful experience for all students. When students are engaged and inspired,…