The Common Problems Project (CP2) is an interdisciplinary, problem-based pedagogy that was launched in 2015 by four partner colleges in the State University of New York (SUNY) system (Cortland, Oneonta, Oswego, and Plattsburgh). Since its inception, 100 faculty have participated in CP2 and integrated the pedagogy into 134 courses to implement 47…

This open access volume explores the transformative role of Research Cognitive Theory (RCT) in education, emphasizing its application in fostering curiosity, creativity, innovation, problem-solving skills, and cognitive development across all educational levels in students and professional development in teachers. Through detailed discussions on…

In this work, we study several closely related problems involving chains, conveyor belts, and rockets, which are described and solved without the application of infinitesimal calculus, or even the concept of mathematical limit. On one hand, the novelty lies not in the problems themselves, but in the method used for their solution, which brings…

This article unpacks the computational thinking for digital technologies (CTDT) technological area of the New Zealand primary curriculum that became mandatory in 2020. It explores computational thinking (CT), its place in the New Zealand primary curriculum, and elements kaiako can utilise to help implement the teaching of CT. The article considers…

This book assists teachers in providing curriculum to identify gifted students of diversity in the early years, without the formal use of traditional measures of ability. Appropriate for small and large group settings, the pedagogical tools and lessons in this book provide young students with teaching and learning experiences designed to uncover…

This open access book maps the role of challenge-based learning (CBL) in the transformation of higher education pedagogy, towards being sector-informed as well as student-driven. CBL democratises the process of learning by repositioning students as drivers, who are empowered to make decisions on course content, assess needs in the real world and…

The results of this study revealed students' solution strategies progressed from inefficient strategies e.g., counting on fingers to more efficient strategies with mathematical connections. These findings should enable educators to gain more insight to use Number Talks to help student develop computational fluency with numbers.

We offer an analysis of calculus assessment items that highlights ways to evaluate students' application of important meanings and support their engagement in generative ways of reasoning. Our central aim is to identify characteristics of items that require students to apply their understanding of key ideas. We coordinate this analysis of…

Most American colleges and universities assimilate students into highly competitive undergraduate experiences. By placing achievement for personal and material gain as the bedrock of a college education, these institutions fail to educate students to become collaborative learners: people who are committed and prepared to join with others in…

Students often look to the standard algorithm, which requires rewriting the task, regrouping tens to create enough ones to subtract, and other opportunities to make errors. However, when the authors apply structural thinking, the resultant strategy is an efficient and elegant shortcut and even brings a positive connotation to the word…

Recently a teacher friend enquired about the S-I-R equations for disease spread, and what follows was stimulated by that exchange. COVID-19 provides an opportunity to put mathematical flesh on verbal bones such as "self-isolation", "lockdown", "herd immunity", "flattening the curve", "closed…

The SEL Innovations series aims to help the field imagine new, more expansive and equitable approaches to social and emotional learning (SEL) and wellness to ensure that all children, adolescents, and adults feel safe, supported, and seen so that they can thrive. This is the second report in a series exploring innovations in SEL. The purpose of…

Education forms a very significant activity within the Roman Catholic Church. The cultural and ethical formation of young generations and thus the future of society and the Church depend largely on it. Catholic schools grant the opportunity to base formal education on Christian anthropology and to shape students' personality in the light of the…

School communities in both urban and rural settings need trauma-informed (TI) supports; however, the adversities experienced and access to student supports may be unique to rural school communities. In addition, the contextual challenges experienced by rural schools and communities, as well as the strengths that can be drawn from them, will…

In this paper, we propose a potential interactional explanation of tertiary-to-secondary (dis)continuity: that of authority relations. Using secondary mathematics teachers' proof validations across two contexts, we suggest that secondary teachers' conceptions of authority shape their capacity to reconcile their positions as former mathematics…