In this article we study the conceptions of an American and a French group of undergraduate pre-service teachers regarding the concept of independent events. Specifically, we study the role that intuition plays in their answers, ascertain the presence of probabilistic biases, and compare the findings with previous results collected on a different…

The positive correlation between spatial ability and mathematical ability has been well-documented, but not well-understood. Examining student work in spatial situations that require numerical operations provides us with insight into this elusive connection. Drawing on student work with angle, length, volume, and area, we examine the ways in which…

"Taking the Lead" outlines 10 practical and powerful roles for school-based coaches responsible for helping teachers increase their capacity to serve all students. The second edition is a rich update to Killion and Harrison's essential resource and includes dozens of online tools that support deep exploration and implementation of the…

The Program for International Student Assessment (PISA) is a global education study of 15-year-old students' reading, mathematics, and science literacy and, in 2015, two optional components: financial literacy and collaborative problem solving. Fifty-one education systems administered the collaborative problem solving assessment, including 32 of…

The ability to think and solve problems quickly is a necessary skill for success in education (Flanagan, Ortiz, Alfonso, & Mascolo, 2006; Proctor, 2011; Taub, Floyd, Keith, & McGrew, 2008). This leaves students who struggle with speeded tasks at greater risk for not meeting the educational demands in the classroom. Modern intellectual…

Problem-solving skills in creative, open-ended domains are both important and little understood. These domains are generally ill-structured, have extremely large exploration spaces, and require high levels of specialized skill in order to produce quality solutions. We investigate problem-solving behavior in one such domain, the…

In this chapter we present the results of an eye-tracking study on collaborative problemsolving dyads. Dyads remotely collaborated to learn from contrasting cases involving basic concepts about how the human brain processes visual information. In one condition, dyads saw the eye gazes of their partner on the screen; in a control group, they did…

Mathematics is an important nature exploration tool used by all natural sciences. So it is usual that mathematical calculations are part of school science education. But how are these calculations perceived by the learners themselves? What are their attitudes to this part of the teaching process? The answer to this question is important for any…

The COVID-19 pandemic has accelerated a shift to new ways of working, prompting companies to reimagine how, where and by whom work gets done (World Economic Forum & Watson, 2020). This shift was already under way with the technological changes of the Fourth Industrial Revolution. Employers are looking for workers who are able to learn new…

This paper aimed to investigate the effect of a mobile app on mathematics learning in authentic contexts. Authentic contexts contain rich resources wherein students can use authentic objects as aid in advanced educational technology-assisted mathematics learning. We designed Ubiquitous-Fraction (U-Fraction), a mobile application that helps…

This practice paper provides a detailed scaffolded layout of how to embed computational thinking concepts into a project-based math methods course. Parallel to completing a project in which the in-service teachers design solutions for math struggles of their P-12 students, the graduate students reflect on their problem-solving activities using…

This article reports on the explicit introduction of metacognitive strategies by an early career science teacher to support the application of mathematics skills. The research investigated the effectiveness of these strategies with three Year 11 physics students using an action research approach. Quantitative and qualitative data were collected…

By looking beyond their written products into what they do as they write, this mixed methods study offers insights into the writing process of writers who have mastered one language and those who have mastered two. It investigates the cognitive effects of bilingualism and biliteracy on the writing processes of years ten and eleven Sydney high…

Mathematics problems are shared rapidly across all social media platforms, and the relative anonymity granted to users can lead to unfiltered discourse. This study examined 1,046 comments from a mathematics problem posted twice to YouTube in February 2016 to determine the underlying narratives that indicate the commenters' mathematical mindsets…

Gender inequalities still affect the health and well-being of young people worldwide. Given the apprehensions among government and educators in a conservative context like Panama to implement comprehensive sexual education, there is a need for other educational efforts to stimulate healthy and respectful intimate relationships between adolescents.…