This article continues to challenge the robust myth that mathematical smartness is exemplified in individuals who consistently complete mathematics problems quickly and accurately. In so doing, I present a set of counterstories from three students in one ninth-grade Algebra 1 classroom. These students described transformative experiences in their…

This article outlines the learning design, implementation and shared outcomes of an intensive placed-based design education programme that was delivered in a specific remote high school learning context in the Warmun Aboriginal community, East Kimberley, Western Australia. Place-based design education seeks to assist vulnerable young people in…

Creative Youth Development (CYD) is a long-standing practice that fuels students' potential by intentionally integrating creative skill-building, inquiry and expression with positive youth development principles. In CYD programs, young people create original work through arts experiences and apply their creative skills to solve problems. These…

In recent decades, research and practice have shown that investing in a positive school-wide social culture is a key component of effective education. Evidence demonstrates that educators and students succeed when students are present, engaged, socially secure, and academically successful. Developed by 2M Research in conjunction with an expert…

This article pertains to a problem on static friction that concerns a block of mass "M" resting on a rough inclined plane. The coefficient of static friction is microsecond and the inclination angle theta is greater than tan[superscript -1] microsecond. This means that some force "F" must be applied (see Fig. 1) to keep the…

We give an elementary solution to the famous Basel Problem, originally solved by Euler in 1735. We square the well-known series for arctan(1) due to Leibniz, and use a surprising relation among the re-arranged terms of this squared series.

Educators are realizing that individuals working in isolation can't adequately address the teaching and learning problems that face us today. Collective action networks are needed. Sharing networks use collective energy to support individual action and agency, whereas execution networks typically address complex problems that require sustained…

The Common Core State Standards for Mathematical Practice (CCSSI 2010) elevate the ways of thinking used to create mathematical results to the same level of importance as the results themselves. These mathematical habits of mind (MHoM), or "specialized ways of approaching mathematical problems and thinking about mathematical concepts that…

Activities for Students appears five times each year in Mathematics Teacher, promoting student-centered activities that teachers can adapt for use in their own classroom. In the course of the activities presented here, students will "look for and make use of structure" by observing algebraic patterns in the power rule and "use…

The method of least squares (LS) yields exact solutions for the adjustable parameters when the number of data values n equals the number of parameters "p". This holds also when the fit model consists of "m" different equations and "m = p", which means that LS algorithms can be used to obtain solutions to systems of…

In this article, Strayer and Matuszewski present a six-phase strategy that teachers can use to help students develop a conceptual understanding of inferential hypothesis testing through simulation. As Strayer and Matuszewski discuss the strategy, they describe each phase in general, explain how they implemented the phase while teaching their…

There has been increasing interest in providing students with disabilities, who are at risk of social isolation, with opportunities to develop social competence and self-determination. Specifically, the provision of opportunities for teaching these students to promote social problem-solving skills is potentially useful for facilitating their…

The recent focus on computational thinking as a key 21st century skill for all students has led to a number of curriculum initiatives to embed it in K-12 classrooms. In this paper, we discuss the key computational thinking constructs, including algorithms, abstraction, and automation. We further discuss how these ideas are related to current…

To show students how engineering design practices reduce the impacts of a natural hazard, the authors--two science educators and an elementary teacher--taught a three-day 5E lesson that focused on hurricanes. They specifically focused on hurricanes because their students are located near a coastal area and are familiar with the effects of this…

Pedagogy informed by environmental communication can enhance collaboration within and outside the classroom. Through our collaborative, sustainability-focused work within the United States and internationally, we identified core capacities that prepare people to work together to form inclusive organizations and identify and respond to pressing…