These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.

Word problems are an essential component of providing a context for computation but are also recognized as an enduring struggle for students. Students are challenged to solve these story-based problems, often resorting to trial and error. This article presents meaningful alternative approaches to helping students make sense of word problems.

The sandwich problem described in this article would likely be considered more appropriate for third grade or above. However, as members of the research team for a lesson study involving teachers from kindergarten through fourth grade, the authors saw kindergarten students rise to the challenge. The authors invite readers to review two scenarios,…

At the start of every school year, teachers typically wonder what their new students know coming into the grade level. Sometimes, though, they place too much emphasis on what children do not know or have forgotten over summer break. After all, those gaps can be glaring. Helping their students grow is like helping an acorn grow; they must watch for…

This is a study of my dramatized narrative based on a true story of what took place in a mathematics class in an international school setting. My narrative includes the exploration of a mathematical "mistake" and the discovery of newly emergent problems. The drama, commentary, and reflections provide a close examination of the conduct…

Visually impaired or blind students require adjustments to the traditional hands-on activities and methodological and didactic strategies employed by the teacher. These adaptations are based on multisensory teaching tools, which reinforce the learning of all students in general. This paper presents simple teaching resources that allow students…

Algebra is considered an important high school course because it is recognized as the gateway to higher mathematics, college opportunities, and well-paying jobs. In the United States, most secondary schools require students to be proficient in algebra to be able to graduate from high school. One major component of algebra is word problem solving,…

The Group Exercises is a distinctive collaborative group working activity completed by approximately 170 second-year undergraduate chemistry students each year in June. The activity comprises students working in randomly allocated teams of 4-6 members to complete a structured learning package to solve chemistry problems with industrial relevance…

The authors start from the premise that mathematical understanding and skills are fundamentally important in STEM education as they underpin the three other discplines of STEM. They describe how contextualised integrated STEM projects can bring mathematics into the foreground with digital technologies--such as Kitsi blocks. They outine a project…

With biochemistry forced to transition to remote-teaching online, the cooperative active learning and problem-solving normally in labs have been limited. With little ability to perform experiments with laboratory equipment, determining how to mimic the qualities integral to these labs in an online environment is necessary. We propose one possible…

The authors describe activities designed to teach the concept of weight to five and six year old children, using the imaginary 'Measureland' and its brand-new ride 'The Zipline Balancer'. They explore how they addressed misconceptions and insights are provided into the evolving measurement understandings of young children.

The "Next Generation Science Standards" ("NGSS") have placed an emphasis on the incorporation of engineering practices into K-12 science instruction. This article details a sequence of physical science lessons that would be part of teaching matter in the second-grade classroom. The goals of these lessons are: (1) to be hands-on…

Using the premise of a fictional earbud company, "EarWorm," students in an introductory management course become EarWorm managers who problem-solve and make decisions about the best choices for their company. This article outlines this engaging and participatory exercise in detail. Students are able to directly connect course concepts to…

Educational leaders are faced with multiple ethical decisions every day. This article presents the Values-Issue-Action (VIA) Model as a tool for developing ethical decisions in K-12 schools. The model is presented with three scenarios from K-12 education to practice using the model into practice. The model can be used by current school leaders and…

Even before the COVID-19 pandemic, it was apparent that American jobs are undergoing massive technological transformation. In-demand careers increasingly require digital literacy skills, and for many industries digital skills are entry-level competencies for new hires and incumbent workers. Since the pandemic, digital demands in the U.S. workplace…