Though factors contributing to difficulty in learning school subjects including Mathematics were extensively studied, nature and characteristics of mathematics, possibly, one among the foremost causes for difficulty in learning it has not received required attention. To bring attention to the difficulties arising out of the nature of mathematics…

The authors present this interview with Eric Chiang, Associate Professor of Economics, Director of Instructional Technology, and Technology Director for the Online MBA Program at Florida Atlantic University. He has authored 26 peer-reviewed research publications and is the author of "CoreEconomics," an economic principles textbook now in…

The classic technique for sulfate analysis in an undergraduate quantitative analysis lab involves precipitation as the barium salt with barium chloride, collection of the precipitate by gravity filtration using ashless filter paper, and removal of the filter paper by charring over a Bunsen burner. The entire process is time-consuming, hazardous,…

Chemical bonding is one of the basic concepts in chemistry, and the topic of covalent bonding forms an important core of knowledge for the high school chemistry student. For many teachers it is a challenging concept to teach, not least because it relies mainly on traditional instruction and written work. Similarly, many students find the topic…

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…