In the first part, we investigate Birman, Ko, and Lee's left canonical form of a braid and give a new diagrammatic approach. We use the left canonical form to characterize almost strongly quasipositive braids. In the second part, we investigate students' confidence in mathematics and problem solving skills. Every math instructor has heard students…

Problem-Based Learning (PBL) is an effective teaching method in many fields, in particular the medical disciplines. Clinical embryology deals with all aspects of assisted conception including insemination and embryo transfer. Clinical embryologists deal with daily issues that require troubleshooting and problem solving. The aim of this study was…

Given the growing global environmental threats, shifts to increasingly binary thinking that isolate and polarize discourse, and the erosion of caring for each other and our places, the authors believe it is imperative that we change the way science and science, technology, engineering, and math (STEM) education connect with communities and are…

This paper discusses the mathematical and didactical problems of teaching indefinite integral in the context of the ubiquitous availability of online integral calculators. The symbol of indefinite integral introduced by Leibniz, unfortunately, does not contain an indication of the interval on which the antiderivatives should be calculated. This…

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…

The basics of climate must be understood to have a climate literate populace. Understanding climatic change is a wicked problem. This work identifies three foundational content challenges to climate and climate change education, discusses them thoroughly, and offers graphics and conceptual models to address this content in the classroom. The three…

Background/purpose. It has been established that students with special educational needs should have equal opportunities for learning with the rest of the formal developmental students in a common school, regardless of their characteristics or difficulties. In an environment that promotes normal physical and emotional well-being, mental…

We will present a problem-solving method for the dynamics of a projectile that has two perpendicular acceleration vectors through rotation of the axes. This methodology of reparameterizing the two-dimensional system simplifies the speed optimization calculus.

Teacher educators are charged with supporting adult learners as they prepare to collaborate with diverse families and colleagues. In this research, we examined how a cohort of teacher candidates (N = 29) developed over a semester in their understanding, dispositions, and knowledge of strategies for partnership through the "dilemmas"…

Whole number computations are a critical skill that serves as a foundation upon which higher-order concepts in mathematics are taught to children. To facilitate their instruction, educators often use multiple representations to support a child's cognition. Representations with physical manipulatives are widely studied through a graduated…

Supporting the development of skills associated with self-determination (e.g., goal setting and attainment, problem solving) and providing opportunities to practice those skills impacts valued school and postschool outcomes of students with complex communication needs. To address this need, the Self-Determined Learning Model of Instruction (SDLMI)…

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.…

When children engage in play, they develop essential skills like creativity, flexibility, imagination, and problem-solving. Children who engage in STEAM (Science, Technology, Engineering, Arts, and Math) activities also build similar skills. Both play and STEAM enable children to ask questions, try different solutions, and develop explanations for…

Some readers thrive more than others because they are more actively involved in their learning. All students can become active participants in their learning through quality teacher prompting. In this article, teachers will learn how to promote emergent learners' active participation as they decode and comprehend, while problem-solving unknown…

Health issues present significant and complex challenges to society. This study aimed to investigate research trends related to health issues as socioscientific issues (SSI). The SSI articles analysed were from three prominent data sources: Scopus, Google Scholar, and Pubmed. Articles were retrieved via Harzing's Publish or Perish application…