A multiweek laboratory experiment is described, which guides students to use data to make decisions through multiple steps, before reaching a final conclusion. The lab focuses on the comparisons of fluorescence and absorbance spectroscopies to determine the concentration of a desired substance in an unknown sample in consideration of a complex…

This professional practice paper is underpinned philosophically by the indisputable centrality of proof to the discipline of mathematics. Proof offers students the opportunity to deepen their own understanding of mathematical ideas, to construct and defend logical arguments, and to think critically about the veracity of mathematical statements.…

Breakout boxes are similar to the escape rooms that have popped up all over the country in the past few years. In an escape room, you and your friends are locked in a room and given a scenario and a time limit. You must work together to solve a number of puzzles to get out of the room before time runs out. Breakout boxes center around boxes, each…

The aim of this work is to examine pre-architects' use of metaphorical reasoning as a tool for design problem solving exercises in an unfamiliar environment. It is to improve their sense of place, which helps to identify and capture design concepts, as well as define goals and requirements. Regarding the three metaphorical reasoning operations of…

The paper aims to present application of Educational Data Mining and particularly Case-Based Reasoning (CBR) for students profiling and further to design a personalised intelligent learning system. The main aim here is to develop a recommender system which should help the learners to create learning units (scenarios) that are the most suitable for…

Founded on the need to help university students develop a greater academic metacognitive capacity, student-facing learning analytics are considered useful tools for making students overtly aware of their own learning processes, helping students to develop control over their learning, and subsequently supporting more effective learning. However,…

This paper develops the ideas of "The Pedagogical Power of Context: Iterative Calculus Methods and the Epidemiology of Eyam" (French "et al." 2018 "J. Phys. Educ."), where we considered the application of the Euler method to solve epidemiological problems. Our purpose was to convey some examples of school level work…

In this brief article, the author illustrates the flaws of FOIL (multiply the First, Outer, Inner, and Last terms of two binomials) and introduces the box method. Much like FOIL, the box method can become easy to use. Unlike FOIL, however, the box method is a more direct and visible link to using the distributive property to determine area, a…

This paper provides an overview of John Dewey's ecological psychology and his basic concepts: experience, inquiry, and habit. The concept of habit, which is particularly relevant in understanding problem-solving strategies, is further explicated on the basis of Gross's (2009. "A Pragmatist Theory of Social Mechanisms." "American…

This article presents theoretical and empirical support for a data-driven instructional coaching approach and emerging evidence for the contributions of an online platform in operationalizing, assessing, and facilitating the implementation of key coaching actions for both research and practice. The contributions of an online platform in guiding…

Issues in society such as immigration and racial inequality threaten to derail classroom discussions. Likewise, issues in higher education such as general education (GE) reform threaten to obstruct faculty committee discussions. We want students to engage in classroom discussions through a comprehensive exploration of issues, ideas, and events…

This working group continues to develop a research program on the practice of launching mathematical tasks and its resulting impact on learners. Our research agenda contains two strands of inquiry exploring (1) theory and framework building concerning effective launches and (2) empirical examination of the link between launching and opportunities…

The solution of problems and the provision of proofs have always played a crucial part in mathematics. In fact, they are the heart and soul of this discipline. Moreover, the use of different techniques and methods of proof in the same mathematical field, or by combining fields, for the same specific problem, can show the interrelations between the…

One way to ease the solution of physics problems is to visualize the situation. However, by visualization we do not mean the pictorial representation of the problem. Instead, we mean a sketch for the solution of the problem. In this paper a new approach to solving physics problems, based on decomposing the problem into with and without gravity, is…

This paper uses the lens of a calculus student to examine different solutions to a weekly puzzler from the radio show "Car Talk," hosted by Tom and Ray Magliozzi. The puzzler describes an automobile that is traveling 75 miles per hour and is 75 miles from its destination. The trip is completed by traveling 1 mile at 75 miles per hour, 1…