The author discusses the definition of the ordinary points and the regular singular points of a homogeneous linear ordinary differential equation (ODE). The material of this note can find classroom use as enrichment material in courses on ODEs, in particular, to reinforce the unit on the Existence-Uniqueness Theorem for solutions of initial value…

When dealing with a complex problem, solving it by reduction to simpler problems, or problems for which the solution is already known, is a common method in mathematics and other scientific disciplines, as in computer science and, specifically, in the field of computability. However, when teaching computational models (as part of computability)…

The general chemistry course at Harvey Mudd College presents chemical principles and addresses technology's impact on society. Students consider environmental and economic implications of chemical scenarios in real-world case studies created for team-based analysis and discussion. Case study design, implementation, and assessment are presented.…

This article empirically validates an existing content analysis scheme and addresses a main concern of researchers about text-based, online transcripts in the form of code-recoding by mapping our scheme to the practical inquiry, cognitive presence model's five phases directly to realise higher-order thinking or critical thinking aspects for our…

The George Lucas Educational Foundation began in 1991 with an ambitious mission: to demonstrate how innovative learning environments in classrooms, supported by powerful new technologies, could revolutionize learning. As an organization founded by George Lucas, its members believed that the same benefits of technology that were transforming…

Innovations in undergraduate medical education, such as integration of disciplines and problem based learning, have given rise to concerns about students' knowledge of anatomy. This article originated from several studies investigating the knowledge of anatomy of students at the eight Dutch medical schools. The studies showed that undergraduate…

Two major obstacles to using problem-based learning methods with writing in elementary school classrooms are the time it takes to design the learning environment and the time required for students to interact at their own pace with ill-structured problems used to spur student writing. This study examined whether game elements could be used along…

This article deals with the use of Problem-Based Learning. The emphasis on high stakes testing, classroom size, diversity, school violence, and much more impact public education and professional preparation programs relative to teacher education. Issues are presented dealing with Accrediting Commissions and Professional Organizations, and the use…

Recent changes in the structure of initial teacher education have resulted in teacher training institutions having to think again about how they address the issue of inclusion within their provision. In this article, Sue Pearson, who co-ordinates the MA (SEN) programme in the School of Education at the University of Leeds, and who contributes to…

Canadian universities are struggling to address seemingly contradictory challenges pertaining to undergraduate education: high demand and underfunding. A number of instruments, including the National Survey of Student Engagement (National Survey of Student Engagement, n.d.), have led to greater priority being placed on the undergraduate…

In this study, with selecting the focusing point of the problem as the availability of cartoons, the teaching of global environmental problems according to the constructivist theory is investigated on the 7th graders in rural areas. This study is restricted with the global warming (G), ozone depletion (O) and the acid rain (A) problems. In the…

This research tends to make the experimental study on the mathematics teaching model of "situated creation and problem-based instruction" (SCPBI), namely, the teaching process of "creating situations--posing problems--solving problems--applying mathematics". It is aimed at changing the situation where students generally lack…

The heterogeneous backgrounds and interests of prospective students has been an emerging challenge in Information Systems (IS) education. Pounding waves of technology carried students away from the shores of traditional IS training. Pragmatists avoided the traditional IS programs, many of which struggled among budget reduction, competing training…

This study aimed at comparing the effectiveness of problem-based learning (PBL) and traditional lecture-based instruction on elementary school students' academic achievement and performance skills in a science unit on genetics while controlling for their reasoning ability. For the specified purpose, two instructional methods were randomly assigned…

Case studies are an important vehicle for student learning in problem-based learning curricula and higher education. "WebCaseStudy.com" was designed to support student learning through case studies in a simulated community of practice. This paper reports on the process of capturing community of practice knowledge for case studies to…