Physical experiments in classrooms have many benefits for student learning, including increased student interest, participation and knowledge retention. While experiments are common in engineering and physics classes, they are seldom used in first-year calculus, where the focus is on solving problems analytically and, occasionally, numerically. In…

The ability to solve geometric construction problems is justly regarded as an essential component of mathematical culture. The dynamic, general nature of objects provided by dynamic geometry systems allows the development of intuitive methods for solving construction problems. The core mathematical concept underlying this approach is the loci…

Problem solving, multiple-choice question-based educational tools have been used for decades in molecular cell biology courses at the University of Pécs Medical School, Pécs, Hungary. A set of these tests was published in Biochemistry and Molecular Biology Education between 2002 and 2015. Such tests using an experimental approach help students to…

The purpose of this article is to demonstrate how exponential functions and patterns can be taught by well-structured lessons composed of classroom activities, mathematical questions, discussions, and solving problems. Sawyer (1943) used a rope-and-post system to introduce the concept of logarithms and to calculate a product by adding the…

This paper introduces and illustrates Bi-relational Design (BD) as a general approach to (re)solving wicked problems. BD theorises oppositional, equipositional and para-positional approaches to problem-specific dyads (e.g., subjective/objective) based on a general consensus of research on epistemological development. These epistemic positions are…

Proliferation of prescriptive models in an "engineering" field is not a sign of its maturity. Quite the opposite. Materials engineering, for example, meets the criterion of parsimony. Sadly, the very large number of models in "instructional design," putatively an engineering field, raises questions about its status. Can the…

The "Next Generation Science Standards" (NGSS Lead States 2013) urge science teachers to include engineering practices and ideas in their already full science curriculum, but many teachers do not know where to start. Only 7% of high school science teachers report feeling "very well prepared" to teach engineering. The…

Terms to be familiar with before you start to solve the test: growth factor signaling, epidermal growth factor, tyrosine protein kinase, tyrosine phosphorylation, ubiquitin, monoubiquitination, polyubiquitination, site-directed mutagenesis, transfection, expression vector, cDNA, immunoprecipitation, SDS-polyacrylamide gel electrophoresis, Western…

An industrial-type distillation column, including appropriate pumps, heat exchangers, and automation, was used as a unit operations experiment to provide a link between classroom teaching and real-world applications. Students were presented with an open-ended experiment where they defined the testing parameters to solve a generalized problem. The…

Mitochondria are surrounded by two membranes (outer and inner mitochondrial membrane) that separate two mitochondrial compartments (intermembrane space and matrix). Hundreds of proteins are distributed among these submitochondrial components. A simple biochemical/immunological procedure is described in this test to determine the localization of…

It has been argued that to increase societal impact behavioral researchers must do more to address problems of obvious practical importance. The basic science wing of behavior analysis has been described as especially detached from this goal, but is it really necessary that basic science demonstrate social relevance? If so, why hasn't this…

A chain assumes the well-known shape known as a catenary when it hangs loosely from two points in a gravitational field. The correct solution of the catenary was one of the early triumphs of the newly invented calculus of variations at the end of the 17th century. Here we revisit the catenary and show that, for a chain hanging from a horizontal…

The reaction that occurs when Mentos are added to bottled soft drinks has become a staple demonstration in earth science courses to explain how volcanoes erupt. This paper presents how this engaging exercise can be used in a marketing research course to provide hands-on experience with problem formation, hypothesis testing, and causal research. A…

This article describes a unit of work that was designed for a Year 9 class of mixed ability and which involved the definition and measurement of angles, as well as the practical application of angle properties--such as complimentary angles and the relationships in a transversal. The unit considered the numeracy skills required to interpret a…

In this article, the authors discuss how acknowledging and embracing that the sample space is one of many ways to partition the set of all possible outcomes impacts the teaching and learning of sample space and probability. After recounting an exchange surrounding two viable answers to a probability question, the authors detail how developments…