This article considers the rise of generative Artificial Intelligence (GenAI) in the context of secondary mathematics education, focusing on its responses to cognitively demanding tasks and the pedagogical implications of these interactions. Using tools such as ChatGPT (OpenAI) and Gemini (Google), we investigate how GenAI engages in complex…

Eddie Woo discusses the importance of problem solving in mathematics education. He points to the need for teachers to carefully consider the approaches they use to best support the growth of problem-solving abilities in students.

This research paper investigates the influence of Generation Z (born approx. 2000 and 2015) on contemporary educational practices, focusing on their experiences in the classroom and their development of transferable skills for the workplace. As digital natives who have grown up with continual exposure to technology and digital information,…

For 15 years, Complete College America (CCA) has been building movements for scaled systemic change and transforming institutions. While CCA has expanded their efforts over the past 15 years, they have studied the best ideas and co-designed the most promising practices to move the needle on college completion. They have learned a lot about how to…

The COVID-19 Omicron variant was causing a new wave of infections and, because of school and life disruptions, students were struggling with learning loss and a decline in mental and emotional health in 2021. Against this backdrop, FHI 360, an organization whose education initiatives aim to dismantle obstacles and give students the tools they need…

Self-directed student learning begins with self-directed educators. Teachers in Greenville, North Carolina, are training in the Habits of Mind, a series of thinking behaviors that support self-directed learning by helping students successfully tackle complex problems. The authors outline key instructional strategies that have grown from these…

Purpose: The purpose of this paper is to know the extent to which a decision-making framework assists in providing holistic, comprehensive descriptions of strategies used by school leaders engaging with distributed leadership practices. The process by which principals and other education leaders interact various school-based actors to arrive at a…

This case presents how the leadership team and faculty of a small, independent school used design thinking to respond to a competitive marketplace and desire for enrollment growth in the middle grades. The new middle school head came in with a mandate for substantial change and sought to engage all stakeholders in a process of redesign and program…

The case study approach is one form of problem-based learning (PBL) that results in deeper understanding of content, and it involves pushing students to think beyond the answers appropriate for class (Hmelo-Silver, 2004; Nilson, 2010, 2013). Case studies prompt students to consider the realistic implications of how they use course content in…

"Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014) emphasizes eight teaching practices for effective mathematics teaching, one of which is to "use and connect multiple representations" (NCTM 2014, p. 24). An action that describes how teachers might promote this practice is to "allocate substantial…

Despite the requirement that teachers implement evidence-based instruction in their classrooms, a significant research-to-practice gap persists. Far too often, teachers resort to quick fixes found through online searches or rely on conventional wisdom to make instructional decisions. This is no surprise as identifying evidence-based interventions…

Complex problem solving is an effective means to engage students in disciplinary content while also furnishing critical non-cognitive and life skills. Despite increased adoption of complex problem-solving methods in K-12 classrooms today (e.g., case-, project-, or problem-based learning), we know little about how to make these approaches…

The authors describe how the Monty Hall Dilemma, a well-known choice anomaly, can be demonstrated with a simple and versatile classroom experiment. In addition to demonstrating the anomaly, the experiment can be used to introduce students to some institutional modifications that have been shown to ameliorate it. This experiment, which can be…

Self-determination refers to a person's ability to have control of their life choices, decisions, and interactions with others. Self-determination skills include: 1) decision-making, 2) goal setting, 3) self-awareness, 4) problem-solving, 5) self-advocacy, 6) self-monitoring, and 7) self-efficacy. Researchers suggest that youth with or at-risk for…

This article explores the process of finding the Fermat point for a triangle ABC in three dimensions. Three examples are presented in detail using geometrical methods. A delightfully simple general method is then presented that requires only the comparison of coordinates of the vertices A, B and C.