The use of structural representations to convey spatial and chemical information is an integral part of organic chemistry. As a result, students must acquire skills to interpret and translate between the various diagrammatic forms. This article summarizes the skills sets, problem-solving strategies, and identified student difficulties in…

The Palo Alto Art Center sought a solution to the challenge that loyal family audiences, visiting weekly for art studio classes, rarely visit the contemporary art exhibition galleries. This article relates the experience of using the human-centered design process, often called Design Thinking, as the methodology to create a solution for family…

Two simple discrete-time models of mutation-induced cannibalism are introduced and investigated, one linear and one nonlinear. Both form the basis for possible classroom activities and independent investigative study. A range of classroom exercises are provided, along with suggestions for further investigations.

How can we teach inquiry? In this paper, I offer practical techniques for teaching inquiry effectively using activities built from routine textbook exercises with minimal advanced preparation, including rephrasing exercises as questions, creating activities that inspire students to make conjectures, and asking for counterexamples to reasonable,…

In this article, I present a collection of puzzles appropriate for use in a variety of undergraduate courses, along with suggestions for relevant discussion. Logic puzzles and riddles have long been sources of amusement for mathematicians and the general public alike. I describe the use of puzzles in a classroom setting, and argue for their use as…

When presented with a problem in mathematics class, students often function as problem performers rather than problem solvers (Rigelman 2007). That is, rather than understanding the problem, students focus on using an operation to complete it. Students' tendencies to act as problem performers can prevent them from suggesting problem-solving…

Problem solving is one of the main competences we seek to teach students at school for use in their future lives. However, when dealing with mathematical problems, teachers encounter a wide variety of difficulties. To foster students' problem-solving skills, the authors developed "strategy keys." Strategy keys can serve as material to…

It is not every day that a former student greets a teacher with, "Your course changed my life." The authors are the professor and student of the transformative course. Alicia Gonzales wanted to understand how to work with students to co-construct an environment where persistent problem solving in a technologically rich classroom was the…

While a wide range of approaches and tools have been used to study children's creativity in school contexts, less emphasis has been placed on revealing students' creativity at university level. The present paper is focused on defining a tool that provides information about mathematical creativity of prospective mathematics teachers in…

"Taking the Lead" outlines 10 practical and powerful roles for school-based coaches responsible for helping teachers increase their capacity to serve all students. The second edition is a rich update to Killion and Harrison's essential resource and includes dozens of online tools that support deep exploration and implementation of the…

In this paper I consider the notion of 'visible pedagogy' in refining a conceptualization of 'socially-just pedagogy' in the mathematics classroom. I explore reasons why the recent focus on promoting formative assessment and metacognition, embodied in Hattie's 'visible learning', has failed to bring about the fundamental shift in pedagogic…

A summary of an experimental course on algebraic curves is given that was held for young learners at age 11. The course was a part of Epsilon camp. a program designed for very gifted students who have already demonstrated high interest in studying mathematics. Prerequisites for the course were mastery of Algebra I and at least one preliminary year…

American jobs are undergoing massive technological transformation, with even entry-level workers now expected to use all manner of digital devices and equipment. To succeed in this rapidly transforming environment, workers need broad-based digital problem-solving skills that equip them to learn a wide variety of today's technologies and navigate…

The field of teacher education is abuzz with a quest for innovation, with public and private stakeholders seeking ways to improve teacher efficacy, support equity, and address the countless challenges of education in the 21st century. Technology often dominates these conversations. From online learning to virtual reality, "innovation" is…

This short review demonstrates how the use of American Mock Trial Association (AMTA) case materials, both throughout intercollegiate competitions and in academic courses, can engage and invigorate students while teaching them crucial skills in a way that few other programs or activities can do. The AMTA case provided for the 2017-2018 academic…