This chapter considers psychological and neuroscience research on how people understand the integers, and how educators can foster this understanding. The core proposal is that new, abstract mathematical concepts are built upon known, concrete mathematical concepts. For the integers, the relevant foundation is the natural numbers, which are…

Sustainable Development Goals (SDGs) are a universal call to action to end poverty, protect the planet, and ensure that all people enjoy peace and prosperity. To maintain the pace of development, local government institutions (LGIs) in many countries have started adapting innovative good practices. These practices are being generated as an…

This paper will elaborate five levels of algebraic generalisation based on an analysis of students' responses to Reframing Mathematical Futures II (RMFII) tasks designed to assess algebraic reasoning. The five levels of algebraic generalisation will be elaborated and illustrated using selected tasks from the RMFII study. The five levels will be…

Unlearning is a recurrent theme in Japan. To further understanding of what this entails, we focus on the view of learning laid out by a revered 13th century Zen-inspired playwright. For Zeami, learning involved a movement from the acquisition to unlearning of skills, punctuated by an experience of "mushin," followed by creative…

As digital learning becomes an increasingly popular modality for teaching and learning, so too has the use of courseware in postsecondary institutions. Approaching the design and implementation of digital courseware from an explicitly equity-minded perspective is vital to supporting historically marginalized students. I offer the Equity First…

Observations of low student motivation, siloed learning, student loneliness and anxiety, along with a disconnect between classroom learning and life application inspired the authors to explore possible causes. They studied the correlates of classroom-community-life connection and implemented their learning in the revision of a language and culture…

There is considerable evidence that 'active learning' strategies are more efficacious than traditional 'passive learning' methods (e.g. lecture). Presented here is a small group active learning project developed for undergraduate social psychology students. The activity involves carrying out and reporting the results of a structured demonstration…

The number of migrants around the world has increased over the last decade, which can be attributed, in part, to increased violence from wars in the Middle East (Böhm et al., 2018; Hahnefeld, 2021; Reavell & Fazil, 2017; USA for UNHCR, 2022). About half of refugees are children (Amnesty International, 2022). These children are at risk of…

I will never forget March 13, 2020. There are events people remember for the rest of their lives (e.g., 9/11), and, for me, March 13, 2020, is one of those events. Life changed for almost everyone after March of 2020. Schools closed overnight, and teachers, parents, and students had to adapt to new ways to learn and to support students. This…

Models of self-regulated learning emphasize the active and intentional role of learners and, thereby, focus mainly on conscious processes in working memory and long-term memory. Cognitive load theory supports this view on learning. As a result, both fields of research ignore the potential role of unconscious processes for learning. In this review…

Purpose: To develop a framework for conceptualizing and managing integration in STEM learning, that can help address key issues in its research and implementation worldwide. Design/methodology/approach: Integration in learning is a complicated but not a well-defined concept and therefore it is difficult to illustrate in theory and practice how to…

In massive open online courses (MOOCs), learners can interact with each other using discussion boards. Automatically inferring the states or needs of learners from their posts is of interest to instructors, who are faced with a high attrition in MOOCs. Machine learning has previously been successfully used to identify states such as confusion or…

Three examples of extant testing practices (i.e., a classroom instructor's use of a simple pre-post design, the practice of teaching to the test, and the think aloud verbal protocol) are discussed to illustrate the contention that assessment in the service of testing and learning does not necessarily involve radically different assessment…

Gaps in teacher communication can cause confusion, especially when it comes to grades. To reduce asymmetries of information when grading performance tasks and projects, teachers should seek to honor each student's unique learning trajectory. Here, authors Eric Carbaugh and Kristina Doubet, present five ways to improve communication--and…

This book offers a new perspective on the professional world of higher education. Using social practice theory, it presents a practice sensibility rooted in concepts which illuminate teaching and learning contexts. The book takes the reader through the social processes occurring within higher education institutions which shape contexts and…