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…

Authenticity is a term commonly used in reference to pedagogical and curricular qualities of mathematics teaching and learning, but its use lacks a coherent framework. The work of researchers in engineering education provides such a framework. Authentic qualities of mathematics teaching and learning are fit within a model described by Strobel,…

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…

Cara, a seventh-grade student with learning disabilities (LD) in mathematics, believes that the ratio 2:3 is equivalent to 4:5 because there is a difference of one between the two numbers in each ratio and there is a difference of two between corresponding numbers in the two ratios (2 + 2 = 4 and 3 + 2 = 5). This misconception affects her ability…

This Application Brief highlights Seattle University's Red Winged Leadership (RWL) exercise, an innovative curriculum for graduate business leadership education. RWL requires students to apply course materials to a visible and challenging class project, and to critically examine and recognize leadership in the broader community. Both allow for…

Social studies educators have encouraged the use of primary sources and inquiry in the classroom for decades; however, inquiry-based instruction in which students engage meaningfully with primary sources remains the exception rather than the norm. The publication of the College, Career and Civic Life (C3) Framework for Social Studies State…

Ratios and proportions are foundational to student understanding across multiple topics in mathematics and science. In mathematics, they are central to developing concepts and skills related to slope, constant rate of change, and similar figures, which are all fundamental to algebraic concepts and skills. This article examines the importance of…

Usually a student learns to solve a system of linear equations in two ways: "substitution" and "elimination." While the two methods will of course lead to the same answer they are considered different because the thinking process is different. In this paper the author solves a system in these two ways to demonstrate the…

This paper describes how a simple application of de Moivre's theorem may be used to not only find the roots of a quadratic equation with real or generally complex coefficients but also to pinpoint their location in the Argand plane. This approach is much simpler than the comprehensive analysis presented by Bardell (2012, 2014), but it does not…