This study involving 60 Japanese learners of English investigated the effects of various kinds of form-focused instruction on learners' ability to comprehend and produce polite requests in English. Each treatment group received one of the following: (a) deductive instruction; (b) inductive instruction with problem-solving tasks; or (c) inductive…

The current mantra in education is "technology, technology, technology." Many teachers and prospective teachers become frustrated with their lack of knowledge regarding the "appropriate" use of technology in the classroom. Prospective teachers need training in their education to understand how technology can be used "appropriately" in the…

One way of implementing project-based science (PBS) is to use problem-based learning (PBL), in which students formulate their own problems. These problems are often ill-structured, mirroring complex real-life problems where data are often messy and inclusive. In this article, the authors describe how they used PBL in a ninth-grade biology class in…

Teachers must be prepared to recognize valid alternative representations of arithmetic problems. Challenging examples involving mixed fractions and division are presented along with teacher's discussion from a professional development workshop. (Contains 6 figures and 1 table.)

There is an increasing acceptance in the education literature and in classroom settings for "best practice" to be linked with verbal clarification of knowledge and reasoning, ideally in collaborative contexts where students construct both group and individual knowledge. Problem-based learning (PBL) is one such classroom context in which…

The modeling instruction pedagogy for the teaching of physics has been proven to be quite effective at increasing the conceptual understanding and problem-solving abilities of students to a much greater extent than that of nonmodeling students. Little research has been conducted concerning the cognitive and metacognitive skills that modeling…

The 11th International Conference on Educational Data Mining (EDM 2018) is held under the auspices of the International Educational Data Mining Society at the Templeton Landing in Buffalo, New York. This year's EDM conference was highly competitive, with 145 long and short paper submissions. Of these, 23 were accepted as full papers and 37…

In this book, Bob Hogan and Char Forsten introduce American mathematics educators to the model drawing process adapted from the much-acclaimed Singapore approach. They explain what model drawing is and why it's such an effective problem-solving tool. They show exactly how teachers can guide their students through the process, tell which key points…

This note presents a teaching suggestion, using the history of mathematics, to give students from middle school and high school the possibility of facing problems found in old mathematics books and comparing their solutions with those given in those books. (Contains 3 figures and 1 table.)

This article is reprinted from Mathematics Teacher, in honor of the 100th anniversary. It discusses the role of emotions in mathematics teaching and learning. (Contains 3 endnotes.)

This article describes the formation of a pedagogy-focused online discussion group for middle school mathematics teachers. Advice is offered for those seeking to establish similar conversations among their colleagues.

There is a scarcity of research regarding help seeking in the context of computer learning environments providing on-demand help, a context in which help-seeking skills appear critical for learning [Aleven, V., Stahl, E., Schworm, S., Fisher, F., & Wallace, R. (2003). "Help seeking and help design in interactive learning environments." "Review of…

Principle of duality and numerical calculation of income and substitution effects under Hicksian Compensation are often left out of intermediate microeconomics courses because they require a rigorous calculus based analysis. But these topics are critically important for understanding consumer behavior. In this paper we use excel solver--a…

This article describes a series of data-based Green Map learning exercises positioned within a problem-based framework and examines the appropriateness of projects like these as a form of geography education. Problem-based learning (PBL) is an educational technique that engages students in learning through activities that require creative problem…

This article communicates findings from a year-long constructivist teaching experiment about the relationship between four sixth-grade students' multiplicative structures and their construction of improper fractions. Students' multiplicative structures are the units coordinations that they can take as given prior to activity--i.e., the units…