We automate and randomize the building of linear systems with a parameter, appropriate for assigning to students. When the parameter takes on a specific value, the system has no solutions. When the parameter takes on a different value, the system has an infinite number of solutions.

This paper initiates a teaching sequence that focuses on building up equivalent definitions to the standard ones for the limit concept in Real Analysis. It comprises two parts: The first provides a classroom assignment where students, guided by Analysis lecturers, are led to develop an alternative definition to the [epsilon] - [delta] one for…

The Next Generation Science Standards (NGSS) engage students in the epistemic, or knowledge building, components of science through three-dimensional learning. Each scientific domain has its own epistemic aspects that result from different social groups going about science in different ways to conceptualize different bodies of knowledge; education…

This chapter describes how instructors can foster curiosity and exploration to improve digital literacy for college students. It also details multiple inquiry-based teaching strategies that may be used in digital literacy contexts.

As new technological developments continue to change the educational landscape, it is not an exception in the area of proof and proving. This classroom note introduces the use of one of the trending proofs assistants -- the Lean theorem prover. We first provide a technical account of Lean, then exemplify Lean proofs in propositional logic, number…

Undergraduate students outside Statistics major frequently take only one class of Basic Statistics or Introductory Statistics during their studies. As a consequence, many of them have little knowledge about advanced statistical methods, such as logistic regression, nonparametric procedures, and multivariate analysis, although they might need to…

This teaching note presents an active learning exercise using a clip from the television show "The Office." The exercise centers on a promise to pay for the college education of a group of third graders, raising questions about capacity, consideration, offer, acceptance, statute of frauds, revocations, promissory estoppel, and other key…

Teachers, paraprofessionals, and parents recognize the importance of providing deaf and hard of hearing children with full access to the languages around them. Without full access, reading and academic achievement remain far below intellectual capabilities. This article describes the Continuum of Reading Activities, which provides strategies that…

In this article, the authors describe an algebra 2 class activity, called the Exponent Maze, that had students practice many mathematics problems, display their creativity, and work together collaboratively by creating their own mazes. The authors discuss how they introduced the activity, what the students created, and how creating mazes can be…

The role of an orientation & mobility (O&M) specialist is essential to provide professional training and recommendations to promote safe, independent street crossings for people who are blind or have low vision. This article provides novel approaches to teaching crossing strategies using tactile maps to individuals with visual impairments…

A new teaching resource comprised of raw X-ray diffraction data sets from crystallography experiments has been compiled. The aim of this resource is to provide a tool with which to plug the teaching gap between crystals and chemical structures present at various levels of education, as well as providing examples for early stage researchers and…

Helping students learn how to interpret themes in text can be, without a doubt, challenging. Students benefit from knowing different aspects/textual elements within stories to look for when constructing themes. In this teaching and learning guide, we share seven concrete ways to help students anchor their theme thinking. These seven elements can…

In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both. In this paper, we show how each approach can be improved by incorporating an aspect of the other, based on a little known synthesis…

In this article, the author presents a teaching prompt--Write-it-Out--to instruct readers who seemingly guess at words with no or limited use of grapheme-phonemic correspondences to recontextualize word-solving into writing. Through the nature of this prompt, slowing down the pace of solving words on the run with writing also reciprocally builds…

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.…