"On your mark, get set, go!" Elementary students love to hear these words as they participate in the annual Third Grade Better Boat Challenge. This highly motivational project started a few years ago as the author was developing the third-grade science curriculum to include a study that revolved around models, design, and problem solving. It has…

Grounded in the work of W. Edwards Deming, this article describes the basics of systems thinking, viewing a business as a system, and contrasts improving a system with solving a problem. The article uses the human body as a metaphor to describe the various aspects of viewing a business as a system at the concept level and maps the Deming cycle,…

A model is presented that describes a scalar field interacting with a point particle in (1+1) dimensions. The model exhibits many of the same phenomena that appear in classical electrodynamics, such as radiation and radiation damping, yet has a much simpler mathematical structure. By studying these phenomena in a highly simplified model, the…

This article discusses problem solving and how science educators can integrate problem solving into their instruction. The Search, Solve, Create, and Share (SSCS) model was developed based on the findings of problem solving research. (YP)

This report makes recommendations for the development of middle-school assessment in mathematics, based on a synthesis of scientific findings in cognitive psychology and mathematics education. The focus is on background research, rather than test specifications or example tasks. Readers interested in early development and pilot efforts associated…

This study reviews theories supporting the construction of student knowledge and found they rely upon theoretical operations with few pragmatic applications. A new paradigm of learning needs to emerge which focuses on how students actually construct their own knowledge, based on reconstructing current/past knowledge or experience, and their…

The authors explored the effects of teaching conceptual model-based problem-solving instruction on students' ability to solve problems in various situations. Participants were 3 4th-and 5th-grade students with or at risk for mathematics disabilities. The authors used an adapted multiple-probe across-participants design to assess the functional…

This paper grows from research which focuses on the learning characteristics of PhD students, incorporating communities of practice both during their studies and beyond completion of their PhD, and drawing on theories of adult learning and lifelong learning. It shows how professional discourse enhances academic discourse through student engagement…

In this article, the authors share an episode from an after-school program and focus on eight of the twenty-four urban, sixth-grade students who volunteered to work on mathematical problem solving. When students are given a supportive environment, open-ended tasks, and thoughtful teacher questioning, their reasoning can develop naturally. By…

This study examined how global learning teams utilized technology in a virtual collaboration to solve complex problems. The study offers an in-depth explanation of why and how the learning teams used technology to support computer-mediated communication. A model of technology application at different stages of virtual collaborative process is…

For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…

Monte Carlo methods are used to simulate activities in baseball such as a team's "hot streak" and a hitter's "batting slump." Student participation in such simulations is viewed as a useful method of giving pupils a better understanding of the probability concepts involved. (MP)

A simplified model of an industrially relevant fluid-particle flow system is analyzed using linear stability theory. Instabilities of the uniform state of a fluidized bed are investigated in response to small flow perturbations. Students are expected to perform each step of the computational analysis, and physical insight into key mechanistic…

At United States Military Academy, a unit on biological modeling applications forms the culminating component of the first semester core mathematics course for freshmen. The course emphasizes the use of problem-solving strategies and modeling to solve complex and ill-defined problems. Topic areas include functions and their shapes, data fitting,…

No one would disagree that one of the major goals of higher education is to help college students develop as professionals who are able to deal with real-world problems in complex and dynamic situations, and who can make reasoned and reflective decisions with ethical and moral responsibility. In spite of the importance of promoting students'…