Our work focuses on the transition from high school to university in the field of calculus. In France, recursive sequences are studied as one of the classical exercises in both institutions. Their studies use different theorems and notions, such as functions, convergence, monotonicity, induction, etc. The work expected at this transition requires…

High school students often ask questions about the nature of infinity. When contemplating what the "largest number" is, or discussing the speed of light, students bring their own ideas about infinity and asymptotes into the conversation. These are popular ideas, but formal ideas about the nature of mathematical sets, or "set…

A broad categorisation of different reading styles for mathematics text is generated in this research. The styles derive from those found in literature around academic reading skills. These styles are inductively refined using video transcripts of five specially chosen students studying out loud from a prescribed mathematics textbook. The context…

Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…

Research demonstrates that intrinsic motivation "drives students' amount of reading" and that students who read for pleasure, to explore topics they care about, and for interest "read a lot and achieve greatly" (Guthrie 2). As teachers incline their pedagogy to student interests, ownership, self- efficacy, social interaction,…

The ideas students bring to class and their perspectives on what is happening in the classroom change constantly. Keeping track of these changes is useful for adapting lessons, nurturing student self-reflection, increasing student ownership of learning, and building a teaching practice responsive to learners' needs. In this article, the authors…

"Autism at-a-Glance" is a series of practitioner and family-friendly documents created by the Center on Secondary Education for Students with ASD (CSESA) designed for high school staff members supporting students on the autism spectrum, as well as family members of adolescents with ASD. The purpose of the "Autism at-a-Glance"…

Climate change is complex, requiring critical thinking on both local and global scales. Its effects vary dramatically around the world and require new strategies to help students grasp its complexity, scale, and interrelatedness. This article describes a project to help biology students think critically about climate change from a global…

According to the National Center for Education Statistics (2016), the number of public school students in the United States who were English learners (ELs) was estimated at 4.5 million. However, in 2005, the national standardized testing scores (Fry 2007) show that about 51 percent of eighth-grade EL students were behind other students in reading…

Diana Senechal teaches philosophy at Columbia Secondary School for Math, Science, and Engineering in New York City; in addition, she serves on the faculty of the Sue Rose Summer Institute for Teachers at the Dallas Institute of Humanities and Culture. In this article she states that if someone had told her five years ago that she would be a high…

Proficiency-based instruction focuses on what students know and can do. Proficiency-based teaching and learning is a teacher-led initiative in Oregon that began in the early 1990s with efforts to establish a proficiency-based admissions requirement system for Oregon's state colleges and universities. Meanwhile, many public alternative schools…

This article discusses the ongoing effects of colonialism on Aboriginal peoples in Canada and how these might be revealed and disrupted through particular curricular initiatives, informed by understandings of critical peacebuilding education. One such initiative, treaty education, has the potential to disturb dominant national narratives in…

This article highlights how English language learners' (ELLs) prior knowledge can be used to help learn science vocabulary. The article explains that the concept of prior knowledge needs to encompass the ELL student's native language, previous science learning, native literacy skills, and native cultural knowledge and life experiences.…

Latitude and longitude are foundational concepts for geography education, yet they are typically poorly understood by students and receive indifferent attention from instructors and publishers' materials. Social studies teachers can take advantage of increasingly ubiquitous geolocating devices such as Global Positions Systems (GPS) to provide…

This reflection outlines the problems associated with the Australian Government's recurrent funding policy for non-government distance education. It demonstrates the policy's inconsistencies with stated government educational policy and with commonly held expectations of fairness in a democratic society. A comparison of the current funding of…