In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…

Engineering has led the way in responding to the COVID-19 pandemic, including developing masks that reduce transmission, digital tools that allow contact tracing, and vaccines that show promise to put an end to the pandemic and allow a more normal way of life. Society is not only "following the science," but is also applying principles…

University students crave immersive, collaborative, interdisciplinary, applied learning contextualized to real world sustainability challenges. Liberal arts and sciences institutions are particularly well positioned to respond. Here we report on our high impact, cross-disciplinary, biomimicry-themed firstyear experience (FYE) curricula. Biomimicry…

The Designathon Works Foundation teaches children (8 to 12 years old) the skills that help them develop ideas and solutions for a better world. By going through the Designathon method, many children discover that their possibilities are unlimited and they think beyond their borders, both literally and figuratively. The method focuses on building…

Access to drinking water is becoming more limited as drought persists across continents. This article highlights a particularly impacted group of students due to increasing drought conditions and upstream river pollution near their reservation. While there are related water and modeling standards across the K-12 Next Generation Science Standards…

Infusing five processes into assignments can help students hone the skills they'll need to address complex problems. The world students will enter is full of complex, unpredictable problems--and students will need sophisticated thinking skills to cope. The authors unpack five thinking processes students need to internalize through opportunities in…

The axiological research in contemporary Chinese Marxism has always oriented itself towards the practice of reform and opening up, profoundly expressing the practical logic of reform and opening up by way of the theoretical logic of axiology. First, contemporary Chinese axiology focuses on the concept of value and reveals its essence, it explores…

Puzzles involving infinite networks of resistors are an engaging way for students to explore the idea of infinity and self-similarity in physics. Recently K Atkin has described one such puzzle, alongside a solution based on an equivalent finite network (2022 "Phys. Educ." 57 025015). Here we present a generalisation of this problem which…

General Chemistry I is known as a STEM (Science, Technology, Engineering, Mathematics) gatekeeper, often playing a role in determining students' STEM college pathways and their career prospects. However, there have been recent efforts to transform General Chemistry I from a gatekeeper course into a gateway course by implementing equity approaches.…

How to pedagogically integrate the four STEM (science, technology, engineering, and mathematics) disciplines is a main discussion issue in STEM education. Inquiry-based learning, mathematical modeling, and tool-based pedagogy could go hand in hand to provide a possible integrated STEM pedagogical framework for mathematics and science. This…

College physics textbooks (algebra based) tend to shy away from topics that are usually thought to require calculus. I suspect that most students are just as happy to avoid these topics. Occasionally, I encounter students who are not so easily satisfied, and have found it useful to maintain a storehouse of non-calculus solutions for some common…

Much of the formal professional development teachers experience consists of short-term workshops that maintain -- rather than disrupt -- the systems of power that reproduce educational inequities. In response, some scholars have advocated critical professional development (PD) as a means of supporting teachers' interrogation of these inequities…

School psychologists can engage in consultation to address inequities in educational opportunities to support multiply marginalized students. This critical work is codified in the NASP 2020 Practice Model, which outlines professional and organizational principles to facilitate school psychologists' engagement in equitable, effective supports to…

In the preferable educational future imagined here, the year 2030 has seen massive conceptual and structural change throughout systems of education. In the higher educational landscape envisioned only 10 years in the future, institutions of higher education have moved beyond the goals of valuing diversity, equity, and inclusion and beyond…

This article presents the journey taken by staff at St. Patrick's Primary School in Kilmore to implement a consistent approach to the teaching of mathematics, using an instructional model to support student learning through structured inquiry pedagogies.