In my Keynote Address to PME-NA 45, I offer an embodied framework for naming what makes mathematics powerful for mathematicians and scientists, yet intractable for many learners. The essential claim is this: Students reside in the Real World, where math is grounded, embodied and meaningful, while mathematics resides in the ungrounded, disembodied…

Career development is an important aspect of every young person's life as it helps them identify their skills, interests and goals and find the right career path for themselves. Career skills are a broad range of competencies and abilities that are necessary for success in the workplace. Developing them through education, training and experience…

This work addresses the importance of innovation in entrepreneurial and business education to ensure that students develop the ability to make complex decisions and solve complex challenges. The intention was to incorporate the complexity theory in decision-making and problem-solving in business and entrepreneurship. To achieve this, we present…

The United Nations 2030 Agenda for Sustainable Development and the Inner Development Goals argue that addressing the world's challenges in the 21st century requires people to develop diverse skills. On the one hand, anyone, regardless of age and educational level, can develop multifaceted, transdisciplinary, and integrated competencies to address…

Creativity is a task-specific construct that exhibits diverse characteristics depending on the context it operates in. Currently, there is little consensus on how creativity can be defined and taught within STEM education. In this study, mathematics teachers' beliefs about STEM creativity and their pedagogical approaches to teaching creativity…

Measuring computational fluency, an aspect of procedural fluency, is complex. Many attempts to measure this construct have emphasised accuracy and efficiency at the expense of flexibility and appropriate strategy choice. Efforts to account for these latter constructs through assessing children's computational reasoning using structured interviews…

In Yucatec Maya middle schools in the Yucatán, math scores are low and drop out rates are high. Although addressing larger social and economic causes may ameliorate these issues, improving math instruction may be a more immediate, feasible approach. This ethnographic, mixed-methods study explores community approaches to problem-solving relevant to…

John McNamara shares his wisdom and humbly credits Camillo Grazzini, Jenny Höglund, and David Kahn for his growth in Montessori. Recognizing more than what he has learned from his mentors, he shares the lessons he has learned from his students themselves. Math, science, history, and language are so integrated in the curriculum that students…

The success of online learning depends on interaction, pedagogical approaches and active participation. Garrison, Anderson and Archer (2000) introduced interactive learning through the community of inquiry model (COI). This study used the lens of social, cognitive and teaching presence (Garrison, Anderson & Archer, 2009) to examine the…

The development of transversal competences is essential for the success of engineers, who need to have the ability to adapt to the new and changing demands posed by modern society and scientific advances. It is a challenge for professors to teach and evaluate transversal competences, since such competences are related to attitudes and values. We…

This paper presents an innovative project-based learning activity meant to support language beginner students to develop, via their core curriculum, five enterprise capabilities ("authentic problem-solving;" "innovation and creativity;" "risk-taking;" "taking action;" and "true collaboration"),…

This article, the second of a two-part series, presents 12 assignments designed to help students increase their online communication skills, conduct professional conferences, use advanced presentation software, develop problem-solving and critical thinking, gain greater awareness of gender effects in communication, and perform community service.…

Researchers have argued that students can develop foundational understandings for a variety of mathematical concepts through quantitative reasoning. I extend this research by exploring how students' quantitative reasoning can support them in developing meanings for inverse relations that influence their inverse function meanings. After summarizing…

A comprehensive literature review that integrates and synthesizes peer-reviewed research surrounding a problem is a prerequisite for making an original contribution to a field and profession. The literature review in a doctoral dissertation is a required component, but most of these reviews suffer from bounded, linear thinking, limited scope, and…

In this paper, we discuss the diffusion (of an innovation) and relate it to our attempt to spread our initial design of a mathematics practical paradigm in the teaching of problem solving.