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…

Identifying students' misconceptions and learning difficulties and finding effective ways of addressing them has been one of the major concerns in chemistry education. However, the chemistry education community has paid little attention to determining discipline-specific aspects of chemistry that can lead to learning difficulties and…

We report the combined use of Wikispaces (wikis) and collaborative group problem solving (CGPS) sessions conducted in introductory-level calculus-based physics classes. As a part of this new teaching tool, some essay-type problems were posted on the wiki page on a weekly basis and students were encouraged to participate in problem solving without…

There has been much recent discussion about student engagement in higher education, and in the last few years a number of authors have undertaken extensive international research on the topic, which has been summarized in a number of literature reviews. However, to date, there has been relatively little in-depth exploration of student engagement…

This article discusses how teaching via problem solving helps enact the Mathematics Teaching Practices and supports students' learning and development of the Standards for Mathematical Practice. This approach involves selecting and implementing mathematical tasks that serve as vehicles for meeting the learning goals for the lesson. For the lesson…

How better to begin the study of linear equations in an algebra class than to determine what students already know about the subject? A seventh-grade algebra class in a suburban school undertook a project early in the school year that was completed before they began studying linear relations and functions. The project, which might have been…

Life tables are mathematical tables that document probabilities of dying and life expectancies at different ages in a society. Thus, the life table contains some essential features of the health of a population. Probability is often regarded as a difficult branch of mathematics. Life tables provide an interesting approach to introducing concepts…

An essential component skill of monitoring and reflection during problem solving is work checking, a process used by experts while solving problems to determine if their solution is achieving the goal. The results of work checking may reveal errors or inconsistencies, indicating a need for iteration. Using think-aloud interviews, the authors…

Jennifer Miller is a special education preschool teacher at Grant Elementary School in Muscatine, Iowa. In this article, she describes how she created and implemented a learning center with three-to-five-year-old students in an integrated morning class (nine students; four on IEPs) and an integrated afternoon class (10 students; four on IEPs) to…

One essential piece of implementing of PBL is the problem. There have been calls from practitioners in the PBL field for a systematic process for designing effective PBL problems. Yet, the research efforts to explore, develop, and test PBL problem design methods or processes are still sparse. From an instructional designer and researcher's…

This conceptual article explores teaching as design work, arguing that a critical thing teachers do is design systems that enable their students to learn. Designing occurs when teachers generate new learning activities or modify curricular programs to create coherence for themselves and their students. Nonetheless, few teacher education programs…

Most educators who teach the advertising campaigns course require students to work as groups. A review of cooperative learning and group dynamics literature, however, suggests that unless students are systematically prepared for group work instructional goals will be difficult to achieve. This article describes how pre-training activities in group…

This study explored the impact of numbers used in instructional tasks on the construction and generalization of multiplicative reasoning by fourth grade students designated as having learning difficulties or disabilities in mathematics (SLDs). In particular, this study addressed the following research questions: (1) In what ways do SLDs'…

This study investigates collaborative meaning making by analyzing breakdowns and repairs of understanding in an online, open, peer production environment (Open Source Software). Guiding theoretical frameworks include Roschelle and Teasley's Joint Problem Space and Stahl's Group Cognition. It uses an ethnomethodologically-influenced discourse…

Introduction. In this study, we focus on the relationship between the students' mathematical thinking and their non-mechanically identified eye-movements with the purpose to gain deeper understanding about the students' reasoning processes and to investigate the feasibility of incorporating eye-movement information in everyday pedagogy. Method.…