This study investigates the impact of teacher characteristics and instructional strategies on the mathematics achievement of students in kindergarten and first grade and tackles the question of how best to use longitudinal survey data to elicit causal inference in the face of potential threats to validity due to nonrandom assignment to treatment.…

This case-study compared traditional, face-to-face classroom-based teaching with asynchronous online learning and teaching methods in two sets of students undertaking a problem-based learning module in the multilevel and exploratory factor analysis of longitudinal data as part of a Masters degree in Public Health at Maastricht University. Students…

A growing literature exploring large-scale, identity-based political violence, including mass killing and genocide, debates the plausibility of, and prospects for, early warning and prevention. An extension of the debate involves the prospects for creating educational experiences that result in more sophisticated analytical products that enhance…

Students often make errors when trying to solve qualitative or conceptual physics problems, and while many successful instructional interventions have been generated to prevent such errors, the process of deduction that students use when solving physics problems has not been thoroughly studied. In an effort to better understand that reasoning…

Given that problems with number sense may have a causal influence on students' math learning difficulties and there is a lack of empirical studies that have examined the effectiveness of number sense interventions for kindergarten students with math difficulties, the purpose of the present study was to evaluate the effectiveness of number sense…

It seems rather surprising that any given polynomial p(x) with nonnegative integer coefficients can be determined by just the two values p(1) and p(a), where a is any integer greater than p(1). This result has become known as the "perplexing polynomial puzzle." Here, we address the natural question of what might be required to determine a…

Open education, as embodied in open educational resources (OER) and OpenCourseWare (OCW), has met and dealt with several key problems. The movement now has a critical mass of available content. Leveraging no small amount of funding and associated development, open education has the tools to collect, disseminate, and support the discovery of open…

This paper is concerned with the relationship between authenticity and adult learning and prompted by some studies in which adult "authentic learning" is a central concept. The implication revealed by them is that real-worldness of learning contexts, learning content and learning tasks is perceived as conferring authenticity on learning. Here,…

We conducted a series of experiments to investigate the extent to which prompting the construction of a force diagram affects student solutions to simple mechanics problems. A total of 891 university introductory physics students were given typical force and motion problems under one of the two conditions: when a force diagram was or was not…

Without question, sustainability efforts and initiatives are on the rise on college campuses. In a 2007 American College Personnel Association (ACPA) presentation, Debra Rowe reported that across the country there were 250 sustainability coordinators/offices/committees, 300 LEED (green) buildings, 275 campus sustainability assessments that had…

As part of an instrumentation course, a problem-based learning framework was selected for laboratory instruction. Two acquisition chains were designed to help students carry out realistic instrumentation problems. The first tool is a virtual (simulated) modular acquisition chain that allows rapid overall understanding of the main problems in…

A perennial problem in computer-aided assessment is that "a right answer", pedagogically speaking, is not the same thing as "a mathematically correct expression", as verified by a computer algebra system, or indeed other techniques such as random evaluation. Paper I in this series considered the difference in cases where there was "the right…

Mathematics teachers are often asked, "What is the most difficult topic for you to teach?" Their answer is teaching students to count. The concepts can be challenging and slippery to apply in problems. Many times, no rigid procedures or formulas can be used to solve the problems directly, and students simply do not know where or how to approach…

With the popularization of computer and communication technologies, researchers have attempted to develop computer-assisted testing and diagnostic systems to help students improve their learning performance on the Internet. In developing a diagnostic system for detecting students' learning problems, it is difficult for individual teachers to…

Cooperative learning (CL) is a well documented pedagogical practice that promotes academic achievement and socialization, yet many teachers struggle with implementing it in their classes. This study reports on the perceptions of 10, middle-year teachers who implemented cooperative learning in a unit of work across two school terms. Data from the…