The beginning of the school year is a time of intense work for students and teachers, especially if it means learning mathematics in new ways (Ruef 2016). Students need guidance and support if they are shifting beliefs about what it means to do mathematics. This article shows how Torres and her students co-created new ways to be good at…

The hammer-and-nail phenomenon highlights human tendency to approach a problem using a tool with which one is familiar instead of analyzing the problem. Pedagogical suggestions are offered to help students minimize their mathematical impulsivity, cultivate an analytic disposition, and develop conceptual understanding.

This syndicate offers four recommendations to help educators adjust curricula to accommodate the rapid integration of data into journalism. First, instruction in numeracy and basic descriptive statistics must be required as either modules in existing courses or as separate offerings. Second, students should be taught to avoid mistakes in…

Problem solving has been the focus of the Common Core State Standards for Mathematical Practice. Helping students acquire critical-thinking and problem-solving skills has become the primary goal of mathematics education across all grade levels. However, research has found that many students struggle with word problems because of poor text…

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…

Universal Design (UD) involves the creation of accessible, flexible products that are functional for a wide population of users. Our problem-based learning exercise challenges student teams to create products and services guided by the principles of UD. After teams generate their new product concept, a spokesperson from each team pitches it in…

This article explains how explorations into the quadratic formula can offer students opportunities to learn about the structure of algebraic expressions. In this article, the author leverages the graphical interpretation of the quadratic formula and describes an activity in which students derive the quadratic formula by quantifying the symmetry of…

This book is a compilation of tools, techniques and frameworks for use in the field of entrepreneurship and innovation (E&I) education. Developed and honed over the past two decades, these teaching approaches are combined with well-versed practical insight. As professors know all too well, the human brain cannot articulate more than three or…

Among different transitions that happen in a young person's life, transition to adulthood can be one of the most challenging. The new post-school environment requires increased self-determination, including self-awareness, self-advocacy, self-management, and other important skills that help one function as an independent adult. Because it takes…

The Birthday Paradox problem can be investigated either with a carefully constructed spreadsheet (for greatest precision) or a calculator process (for reasonable precision). A number of ways of approaching this problem as a class activity are provided.

This paper shows how a freely downloadable and powerful software package, "SMath Studio," can be used to model physical systems in physics teaching. The software can form the basis of lecture demonstrations by teachers or can be used individually by students working in an educational environment or on their own home computers.

Quadratic modeling problems are commonplace in high school mathematics courses; they typically situate quadratic patterns of change and their corresponding parabolic graph within real-world contexts. Traditional approaches to this type of problem lend themselves to making connections across different representations (e.g., Garofalo and Trinter…

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…

Skills in creativity are needed to meet the needs of today's organizations, and design thinking is a process that one can learn to become more creative. Yet the diminishing exposure to and pursuit of humanities courses, which have traditionally developed these skills, has put pressure on business schools to fill the gap. This experiential learning…

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…