In a first proof-oriented mathematics course, students will often ask questions--for example, "What is this problem asking me to do?" or "What would a proof of this even look like"--that have more to do with logic than mathematics. The logical structure of a proof is a dance involving those basic logical forms--such as "p…

These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.

This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Common factors, common multiples, strip diagrams, and double number lines are discussed in this, the third installment in the series. [For the second installment in this series see "Connecting the Dots: Building…

The mathematics performance of students identified with emotional and behavioral disorders (EBD) is poor. Students identified with EBD require individualized instruction aligned with their unique academic and behavioral needs. One way that teachers can efficiently identify core mathematics deficits and provide individualized instruction is through…

In this brief article, Peter, Larissa and Doug present a single-page scaffold that challenges us to think of the mathematical proficiencies in a whole new way. By thinking of the proficiencies as verbs, they can be seen as purposeful learner actions and offer clues as to what it might mean to be a mathematician.

Globally, nations are grappling with massive social and economic disruptions and the disparities exposed by the COVID-19 pandemic. The world is in the middle of a wicked problem--one so complex that it is difficult to find a solution. The "Story Model" was developed as a transdisciplinary curriculum model and a collaborative…

In this article, the author describes how to help develop students' conceptual understanding of fractions through the tactical card-based game Nearest to One. Nearest to One promotes number-sense based strategies for comparing fractions, such as benchmarking (e.g., Is the fraction greater or less than one-half?) and building to the next whole,…

An online virtual escape-room game was created using the Google Forms survey app for an undergraduate chemistry lab class. Zoom video conferencing service was used to make the activity a collaborative learning experience. The theme was an escape from an abandoned chocolate factory, and the students solved problems to move to the next section or…

Active learning environments are ideal settings to help students develop process skills such as teamwork, critical thinking, and problem solving. However, implementing active learning pedagogies where students have the opportunity to develop these skills can be challenging in large enrollment courses. With the assistance of undergraduate teaching…

Purpose: The purpose of this paper is to know the extent to which a decision-making framework assists in providing holistic, comprehensive descriptions of strategies used by school leaders engaging with distributed leadership practices. The process by which principals and other education leaders interact various school-based actors to arrive at a…

We discuss an innovative action-learning course co-developed by the University of Northern British Columbia, the Prince George Chamber of Commerce (Canada) and local businesses. The Carbon and Energy Management course is an undergraduate/graduate course initiated by the Chamber to address an interest in climate change amongst local…

In the technology solutions column of this special issue of Adult Literacy Education, that focuses on Broadening the Lens on Adult Literacy Education Outcomes, the author wants to challenge the field to expand the view of digital literacy. Of course, basic digital literacy skills must be included, but the field needs to look beyond to the digital…

While project-based learning can be traced back to centuries-old theory, new research shows how it is linked to a variety of efforts for change in innovative schools.

The Mystery Room is an educational escape room based on information literacy and applied to multiple audiences, including first-year students and library student employees. In this article, we explain how we developed the game, its theoretical underpinnings, and why it's a flexible workshop for a variety of audiences.

Students often use incoherent strategies in their problem solving involving force and motion, as revealed, e.g. when they are asked to draw force diagrams for amusement rides involving circular motion, whether in horizontal or vertical planes. Depending on the questions asked, assignments involving circular motion can reveal different types of…