Ever try to captivate students with real-world applications only to discover that they live in a very different world? Assigning an Extreme Word Problem activity to students alleviates this dilemma by placing the authorship of a problem squarely into the hands of learners. Rather than trying to be hip and finding word problems that resonate with…

The statistical concept of sampling is often given little direct attention, typically reduced to the mantra "take a random sample". This low resource and adaptable activity demonstrates sampling and explores issues that arise due to biased sampling.

This article describes the five stages of the design thinking model used to engage students in a creative-thinking process to solve assessment barriers.

Research has shown that the types of tasks assigned to students affect their learning. Various authors have described desirable features of mathematical tasks or of the activity they initiate. Others have suggested task taxonomies that might be used in classifying mathematical tasks. Drawing on this literature, we propose a set of task types that…

The purpose of these notes is to provide examples of large-scale geometry problems that have the potential to promote "constructive struggling" in high-school geometry classrooms. These problems are suitable for being explored in a dynamic geometry environment. The notes also contain brief sketches of solutions to the two problems.

Children in most schools, especially in Primary 7 (age 11, England Year 6), are increasingly engaging with technology and social media in a way that is completely different from 10 or even 5 years ago. More time is spent on phones and devices and, as a result of this, observations and appreciation of the wonderful natural world around them are…

The Models and Modeling Working Group at PME-NA has provided a forum for discussing and collaborating on projects fundamental to research on mathematical modeling since the first PME-NA conference in 1978. We propose to convene this Working Group at PME-NA 41 with a dual purpose: (1) to build on a theme begun in Greenville, holding a focused…

Collaborative learning requires a lot of talk. Although not all student talk may be related to the task at hand, some off-task talk is actually productive, as it enables students to negotiate how they will work together, gain attention of fellow group members, and draw others into joining the work. Emma C. Gargroetzi, Rosa D. Chavez, Jen Munson,…

In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…

Students from marginalized populations may be less likely to engage in science education and form science identities. Thus, science education should include culturally responsive pedagogy to engage students from diverse cultural and ethnic backgrounds and promote science identity in every student (Mhakure and Otulaja 2017). The author is a high…

A multioutcome, guided inquiry-based liquid--liquid extraction (LLE) experiment has been designed for introductory organic chemistry. Multiple outcomes were established by identifying a series of red and blue dyes that are (1) soluble in organic solvent, (2) soluble in aqueous solution, or (3) soluble in either the organic or aqueous layers by…

Building effective partnership with parents of young children with language delays has strong face value and is supported by multiple areas of research; however, building and maintaining partnerships to optimize child outcomes in practice can be difficult. This article provides a guide to teachers and speech-language pathologists who work with…

Selecting the "better" solution to a problem between the first one that comes to mind and the alternative that may follow is not a "fait-accompli". After all, is it better if it is more economical? Or is it better if it is more elegant? Moreover, taking shortcuts does not always lead to a shorter solution. Consider the simple…

Public discussion on the quality of education in different corners of the world very much relies on the data provided by the international large-scale assessment (ILSA) studies. While aware of different methodological keystones and technicalities embedded in these, the idea behind this special issue is to contribute to the understanding of how…

This article presents some paper-folding activities for students to explore a different way to prove some of the angle properties in a circle.