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,…

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…

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…

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.

Successful mathematical problem-solving relies on choices about how best to represent and solve problems. In this article, a range of methods and strategies are presented for solving a single mathematical problem, including novel methods posed by in-service teachers at one Australian university. The variety of problem-solving strategies rely on…

In fact, ever since Seymour Papert (famous in his later years for constructionism, a learning theory that married conceptual constructivism with concrete experience) created Logo programming, many schools have been coding using Logo, the educational computer programming software that has the famous 'turtle' on the computer screen. Importantly,…

The two-stroke engine is an engineering marvel that has been incorporated into many aspects of modern-day life. While many seek to eliminate the two-stroke, others seek to revive this simple and effective power plant, aiming to make it more environmentally friendly and fuel-efficient. If successful, improvements could be far-reaching and…

Today, children of all ages experience rigorous career preparation as part of their education. School systems strive to implement mandated standards to help students excel in standardized testing and gain necessary skills for future job opportunities. In this worthwhile pursuit, many creative school programs such as art and music are deemed…

Le Châtelier's principle is used as a basis to derive an expression to calculate solution pH during titrations that involve only strong acids and strong bases. Central to this model are the reaction quotient and a re-equilibration term that represents the extent of neutralization during a titration. Unlike the method traditionally taught to…

We discuss teaching and learning situations that surfaced when computer programming and mathematics were brought together in a course where students write computer code to explore mathematics problems. Combining programming and mathematics creates a rich ecosystem which, on top of traditional mathematics activities (writing solutions, proofs,…

An important but challenging problem-solving technique in introductory mechanics is that of using "tilted axes." For inclined plane and centripetal motion problems, using axes that are aligned relative to the ramp direction or the radial direction (rather than the horizontal and vertical) yields equations that are conceptually more…