A productive understanding of rate of change concept is essential for constructing a robust understanding of derivatives. There is substantial evidence in the research that students enter and leave their Calculus courses with naive understandings of rate of change. Implementing a short unit on "what is rate of change" can address these…

Higher education increasingly relies on remedial coursework to bridge knowledge gaps among incoming students (Chen, 2016). Students assessed as below college level enroll in remediation to review secondary concepts, especially in mathematics (Kane et al., 2020). However, pressures over funding, student persistence, and completion rates exacerbate…

Research shows that corequisite courses are more effective at supporting student success in gateway English and math courses than prerequisite developmental courses. As the field increasingly shifts to adopt and expand corequisites, questions remain about how to design and structure corequisites to best support student success. In the fall of…

Many of today's teachers have successfully incorporated technology into their classrooms through digitally based approaches to student learning. However, the flipped classroom pedagogy can provide for rich experiences in the classroom as the students learn lessons at their own pace, leaving the teachers free to create fun, hands-on lessons in the…

In summer 2013, Manhattan College introduced an online summer "bridge to calculus" course for incoming first-year students in science, engineering, and mathematics education who marginally did not receive a calculus recommendation based on a mathematics placement test. In this paper, we describe the development of the bridge course and…

Determining what students know and understand, as well as what misconceptions they have, is essential to planning and providing targeted intervention and support. In this article, a teacher uses formative assessment interviews to uncover evidence of students' understandings and to plan targeted instruction in a mathematics intervention class. The…

Nationwide, many students fail to complete the key mathematics courses that are required for most STEM majors, including Precalculus. This paper describes the rationale, implementation, and impact of the redesign of Precalculus at one regional west coast institution. Prior to the redesign, pass rates in Precalculus were modest (75.8% of all…

An important step to achieving a sustainable department culture that encourages innovation in teaching is the alleviation of the isolation that teaching faculty experience. Decreasing this isolation should be accomplished in a manner that respects all instructors' classroom practices while simultaneously exposing faculty to new ideas. In this…

Emotions can influence cognitive development and are key elements to the teaching-learning process. Positive emotions (e.g., engagement) can improve the ability to solve problems, store information, and make decisions. On the other hand, negative emotions (e.g., boredom) reduce the capacity to process information at a deeper level, preventing…

The use of smartphones is increasingly gaining popularity in education. Students and teachers can determine scientific concepts using smartphones equipped with sensors such as Global Positioning System (GPS -- a navigation system that provides location information) and orientation (a device to measure coordinates according to a reference frame).…

Our university is one campus of the larger, 23-campus California State University system. In 2017, the Chancellor of the system discontinued the developmental mathematics programs at all 23 campuses. This caught us by surprise and compelled us to act quickly. This article gives an overview of our response, highlighting the change our department…

To address a deteriorating classroom climate at the midpoint of a two-semester course sequence, we employed a novel intervention: reading a research manuscript together with students as an invitation to legitimate peripheral participation in scholarly reflection on teaching and learning. This intervention resolved many student complaints about the…

In the context of national collaborative efforts to increase the prevalence of active learning strategies in undergraduate precalculus and calculus classrooms, we discuss the context, strategy, and processes used at one university to create change within a mathematics department. We highlight the use of a unified active learning approach and the…

Data reasoning and digital literacy skills, especially the ability to find, represent, and accurately interpret the relevant data, are critical in workplaces and lifetime experiences. Given the importance of developing data reasoning skills from learners' experiences, this article aims to describe teacher and student actions that contributed to…

This paper documents the process and outcome of the development and validation of a coding scheme to analyse mathematics classroom discourse in the context of Hong Kong primary schools. The objective of this coding scheme was to systematically analyse teacher discourse behaviours before and after an intervention programme; the programme aimed to…