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…

A project has been developed for KS3 maths, funded by the Bowland Trust (www.bowlandmaths.org.uk) with additional support from the DCSF. It consists of a teaching resource of about 20 case-study problems aimed at developing thinking, reasoning and problem-solving skills and has been distributed to all UK secondary schools. Each case study includes…

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…

Currently, numerous on-line discussion forums have been developed for educational purposes; therefore, a better understanding about peer student discussion or discourse interactions is quite important. Through gathering peer learning interactions on 57 college computer science students, who were randomly assigned into 14 small groups for solving…

Mathematics is often thought of as a purely intellectual and unemotional activity. Recently, researchers have begun to question the validity of this approach, arguing that emotions and cognition are intertwined. The emotions expressed during mathematics work may be linked to mathematics achievement. We used behavioral measures to identify the…

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…

This paper presents a bibliography of a little more than 100 references related to human problem solving, arranged by subject matter. The references were taken from PsycInfo and Compendex databases. Only journal papers, books and dissertations are included. The topics include human development, education, neuroscience, research in applied…

This case study-based class assignment (see Appendix A) is designed as a culminating course activity through which students demonstrate not only their understanding of school finance basics but also show how to apply their knowledge to solving a problem impacting many public school administrators today. Because the case study is general in design,…

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…

Women represent only one-fifth of engineering Bachelor's degree recipients in the U.S. This gender gap has stubbornly held for the past several years. The authors' study uses survey and interview data to examine the experience and perspectives of 40 first-year women and men intending to study engineering at a public, research extensive…

University administrators can take a cue from pilots. Pilots regularly face decision situations where much lies in the balance. So it is with university administrators. The department, college or university itself can be compared to an aircraft. In flight, there are times when the sun shines and winds are favorable: a comfortable flight results…

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.)