Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries.…

Productive struggle leads to productive classrooms where students work on complex problems, are encouraged to take risks, can struggle and fail yet still feel good about working on hard problems (Boaler, 2016). Teachers can foster a classroom culture that values and promotes productive struggle by providing students with challenging tasks. These…

This paper links educational psychology research about curiosity to teacher moves that are effective in an inquiry-based mathematics classroom. Three vignettes will show explicit teacher moves (staging disagreement, intriguing anecdotes, and creating a safe space) for different audiences (math majors, mathematics for liberal arts students, and…

This paper describes efforts by the author to engage and motivate students in undergraduate research by giving them a large audience and engaging the media in disseminating their work. I provide an introduction to public relations from the point of view of a mathematics professor, and describe some lessons I have learned in my own attempts to…

For several years we have been teaching a one-hour class called "Longwood Seminar," a first-year seminar that is required as a general education goal and has much of its content dictated by Longwood University. During this time we have collected and used a series of mathematical vignettes to supplement the university-required material.…

This article explores the inter-relationship between the embodied processes of pattern generalisation and the visualisation of pictorial cues. A research framework is established for analysing pupils' multiple visualisations of figural cues in the context of pattern generalisation. The research framework centres on a novel combination of three…

This article introduces an optimization task with a ready-made motivating question that may be paraphrased as follows: "Are you smarter than a Welsh corgi?" The authors present the task along with descriptions of the ways in which two groups of students approached it. These group vignettes reveal as much about the nature of calculus students'…

Values-engagement in evaluation involves both describing stakeholder values and prescribing certain values. Describing stakeholder values is common practice in responsive evaluation traditions. Prescribing or advocating particular values is only "explicitly" part of democratic, culturally responsive, critical, and other openly…

Methods courses in teacher education programs often stress the importance of planning and preparation. However, there is no real substitute for experience and ongoing professional development; learning for a mathematics teacher is a continuous endeavor. While university coursework is helpful, the preparation for planning discussed in this…

With an increasingly diverse nation and an ever-smaller world, global awareness is a necessity for today's students. This unique and indispensable handbook shows how teachers can use global literature to help students expand their worldview while developing increased respect for cultural diversity. The authors explain how to infuse global…

On her death in 1910, Florence Nightingale left a vast collection of reports, letters, notes and other written material. There are numerous publications that make use of this material, often highlighting Florence's attitude to a particular issue. In this paper we gather a set of quotations and construct a dialogue with Florence Nightingale on the…