To help students acquire mathematics and science knowledge and competencies, educators typically use multiple external representations (MERs). There has been considerable interest in examining ways to present, sequence, and combine MERs. One prominent approach is the concreteness fading sequence, which posits that instruction should start with…

Biological systems exhibit strong dynamic variations; for example, a system may have a tendency towards either a steady state, periodic behaviour or chaotic oscillations. These findings, explained by dynamic systems theory, have allowed researchers to formally relate a wide variety of systems, such as the theory of rumour propagation, glucose…

Science, technology, engineering, and mathematics (STEM) education is an economic opportunity for an urban school district in Tennessee. Lack of interest in STEM courses was throughout schools with underrepresented populations. An urban district in Tennessee with few schools implementing STEM initiated instructional practices to increase…

Integrated or interdisciplinary teaching is an approach that encourages students to synthesize knowledge from more than one discipline in order to solve problems. It focuses on students' interests, a connection of subjects, use of authentic situations and problem solving techniques. This study aimed to make clear the concept of interdisciplinary…

Epidemiological models have enhanced relevance because of the COVID-19 pandemic. In this note, we emphasize visual tools that can be part of a learning module geared to teaching the SIR epidemiological model, suitable for advanced undergraduates or beginning graduate students in disciplines where the level of prior mathematical knowledge of…

Purpose: The aim of this paper is to study the use of FIS Response Analysis for Critical Thinking Assessment (FRACTA) method to assess critical thinking in STEM problem solving. The use of FIS (facts, ideas and solutions) chart as a tool to elicit student critical thinking responses and the method of scoring the responses are investigated. Method:…

We describe an innovative preorientation curriculum (POC) for a Master of Biostatistics (MB) program. The goal of the POC is to fill critical skills gaps for students entering the MB program from heterogeneous backgrounds so they are prepared to engage in the program's rigorous, fast-paced training upon arrival. To achieve this goal, we introduce…

Solution methods to exact differential equations via integrating factors have a rich history dating back to Euler (1740) and the ideas enjoy applications to thermodynamics and electromagnetism. Recently, Azevedo and Valentino presented an analysis of the generalized Bernoulli equation, constructing a general solution by linearizing the problem…

This study explores how five pre-service subject teachers from different disciplines made sense of and characterized their teacher identity after completing their yearlong pedagogical studies. Leaning on the Bakhtinian dialogical approach and socio-culturally oriented discourse analysis, we examine how the students negotiated multiple voices in…

The next generation of life science professionals will require far more quantitative skills than prior generations. Calculus is important for understanding dynamical systems in biology and, therefore, is often a required course for life science students. However, many life science students do not understand the utility value of mathematics to…

Epistemology plays an important role in detecting learning difficulties in a given field of knowledge and in directing strategies to eliminate them. This quantitative study aimed to get to know the perceptions of 624 students, related to the nature of science and science teaching and learning. The cross-sectional survey, based on the Inventory of…

Preservice teachers in six sections (n = 87) of a sequenced, methodological and process-integrated elementary mathematics/science methods course were able to reconcile an issue centered on a similar area of epistemology. Preservice teachers participated in a science inquiry lesson on biological classification and a mathematics problem-solving…

Interdisciplinary teaching in STEM is often seen as a collaboration of different subjects teaching a common theme. This view undermines successful interdisciplinary approaches that can be deployed in a single class. Two examples of interdisciplinary math lessons, using pie charts and bar charts respectively, will be used to demonstrate how this…

The enacted curriculum and classroom artifacts of a full unit of instruction from three subject areas (biology, chemistry, and physics) at two levels of instruction (regular and advanced) were analyzed for the presence and degree of mathematics and critical thinking. These characteristics were selected from a review of the literature on college…

Educational strategies have evolved over the years due to research breakthroughs and the application of technology. By using the latest learning innovations, curriculum and instructional design can be enhanced and strengthened. Also, as learners move away from traditional scholarly media and toward technology-based education, students gain an…