Have you ever considered how technology could facilitate reasoning and sense making of systems of linear inequalities? In this article, the authors share how to use Google® Maps® and Desmos to achieve this and provide students with opportunities to access mathematics as they build a more formalized understanding. Using an inquiry-based approach,…

Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…

With innovations in technology, adult educators can begin to create learning opportunities in very expansive terms. But, innovative, technologically advanced learning environments still benefit from a solid foundation in adult learning theory, instrumental theories like John B. Watson's Behaviorism, Lev Vygotsky's Social Development Theory, Jack…

In recent years, accreditation standards for international engineering education have led to a dramatic rise in the use of outcome-based education at universities. In this system, enticing new undergraduate students to science and engineering, although challenging, is the first important step toward building students' career competencies. An…

The Common Core State Standards (CCSS) began to take form when dozens of educators from across the country were led by governors and chief state school officers in gathering and reviewing the academic standards of states that had the best outcomes. Their goal was to determine what the current best academic standards were in the country and then…

This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to…

This article presents the Snail problem, a relatively simple challenge about motion that offers engaging extensions involving the notion of infinity. It encourages students in grades 5-9 to connect mathematics learning to logic, history, and philosophy through analyzing the problem, making sense of quantitative relationships, and modeling with…

Imagine teachers, administrators, and university mathematicians and staff learning together in a lab setting where students are excited about attending a week-long summer math event because they are at the forefront of the experience. Piloted in three New Mexico classrooms during summer 2014, MathLab expanded into 17 lab settings over six…

Courses: Communication Activism; Public Advocacy; Social Movements; Public Speaking; Persuasion; Argumentation; Public Sphere. Objectives: This semester-long activity helps students implement a solutions--strategies--tactics framework into their advocacy work. More specifically, students learn to (1) designate, research, and assess the causes of…

Learn the most effective ways to teach elementary math, no matter how much experience you have with the subject. In this book, Fuchang Liu takes you through many common mistakes in math instruction and explains the misunderstandings behind them. He points out practices that should be avoided, helping you to adjust your lessons so that all students…

The contemporary fields of interdisciplinary studies and the policy sciences have evolved over similar intellectual paths and timelines, beginning in the early 20th century. Both have their roots in professional efforts--within and outside the academy--to address numerous, growing, and complex problems that face humanity. The policy sciences'…

Assimilating an algorithmic course is a persistent problem for many undergraduate students. The major problem faced by students is the lack of problem solving ability and flexibility. Therefore, students are generally passive, unmotivated and unable to mobilize all the acquired knowledge (loops, test, variables, etc.) to deal with new encountered…

This article discusses the STEM (science, technology, engineering, and mathematics) Teaching and Research (STAR) Leadership Program, developed at Austin College, which engages students in activities integrated into undergraduate STEM courses that promote the development of leadership behaviors. Students focus on interpersonal communication,…

Chemical bonding is one of the basic concepts in chemistry, and the topic of covalent bonding forms an important core of knowledge for the high school chemistry student. For many teachers it is a challenging concept to teach, not least because it relies mainly on traditional instruction and written work. Similarly, many students find the topic…

In this article, the authors describe how their first-grade class used the book "Inch by Inch" (Lionni 1960)--the story of an inchworm that escapes from a hungry robin by proving he is useful for measuring--as inspiration for a lesson focused on exploring length measurement through examining the meaning of an inch. The authors designed a…