In supporting students toward literacy, teachers must provide experiences that support the formation of informed understandings of the nature of science (NOS), as well as a structure for developing evidence-based explanations. In this article the authors describe how they guided their students through this learning cycle to answer the essential…

To develop second-grade students' confidence and ease, this author presents examples of learning tasks (Number of the Day, Word Problem Solving, and Modeling New Mathematical Ideas) that align with Common Core State Standards for Mathematics and that build mathematical fluency to promote students' creative expression of mathematical…

This interdisciplinary study sketches the ways in which proportional reasoning is involved in the solution of chemistry problems, more specifically, problems involving quantities in chemical reactions (commonly referred to as stoichiometry problems). By building on the expertise of both mathematics and chemistry education research, the present…

Philosophy and schools, children and dynamite, elephants and postage stamps: each has a place, but not necessarily in any natural combination with the other. Whether schools and philosophy belong together depends largely on what we mean by both. To the extent that schools are instruments of government regulation and a mechanism for production of…

This article explores the use of protocol-structured dialogue in promoting reflective practices and shared theories of action within a district leadership team. Protocols have been used to make individuals' theories of action visible and subject to evaluation. This is important for leaders trying to establish coherence across a system; in…

Designed for a broad audience, including educators, camp directors, afterschool coordinators, and preservice teachers, this investigation aims to help individuals experience mathematics in unconventional and exciting ways by engaging them in the physical activity of building geometric shapes using ropes. Through this engagement, the author…

The Beat the Flood challenge involves designing and building a model flood-proof home, which is then tested in "flood" conditions. It is set on the fictitious Watu Island. The children form teams, with each team member being assigned a responsibility for the duration of the task--team leader, chief recorder, and resource manager. This…

In this article, I employ Jacques Rancière's conception of an explicative order to explore how the World Bank contributes to the global project of educational neocolonialism. I argue that the Bank operates as a Master Explicator who taps into students' "inability" to learn by themselves. It explicates concepts such as…

Generalizing--along with conjecturing, representing, justifying, and refuting--are forms of mathematical reasoning important in all branches of mathematics (Lannin, Ellis, and Elliott 2011). Increasingly, however, generalizing is recognized as the essence of thinking in algebra (Mason, Graham, and Johnston-Wilder 2010; Kaput, Carraher, and Blanton…

This paper examines the experience of an action research "Study Day" to investigate development of a culture of reflective practice among educators. Shared recognition of the importance of reflective practice in education is now a well-established part of both pre-service preparation and in-service work experience for educators. Osterman…

Although dynamic geometry software has been extensively used for teaching calculus concepts, few studies have documented how these dynamic tools may be used for teaching the rigorous foundations of the calculus. In this paper, we describe lesson sequences utilizing dynamic tools for teaching the epsilon-delta definition of the limit and the…

In this article we explore approaches to curriculum in the primary school in order to map and manage the omissions implicit in the current unfolding of the Curriculum and Assessment Policy Statement for mathematics. The focus of school-based research has been on curriculum coverage and cognitive depth. To address the challenges of teaching…

Argumentation incorporated into class discussions can improve students' problem solving skills and enhance their epistemic and conceptual understanding. Research indicates students sometimes need scaffolding such as goal instructions to improve their argumentation skills. This study examined the effectiveness of different types of goal…

Most mathematics assignments consist of a group of problems requiring the same strategy. For example, a lesson on the quadratic formula is typically followed by a block of problems requiring students to use the quadratic formula, which means that students know the appropriate strategy before they read each problem. In an alternative approach,…

Mathematics is the study of structure but students think of math as solving problems according to rules. Students can learn procedures, but they often have trouble knowing when to apply learned procedures, especially to problems unlike those they trained with. In this study, the authors rely on the psychological mechanism of perceptual learning…