Literacy in STEM is critical to individual and national success in the twenty-first century, the century of science. Gifted students are in a position to make especially profound contributions to solving the world's major challenges and creating new economic opportunity. But modern American culture and the way STEM education is approached and…

In computing real-valued functions, it is ordinarily assumed that the input to the function is known, and it is the output that we need to approximate. In this work, we take the opposite approach: we show how to compute the values of some transcendental functions by approximating the input to these functions, and obtaining exact answers for their…

Based on Steiner's fascinating theorem for trapezium, seven geometrical constructions using straight-edge alone are described. These constructions provide an excellent base for teaching theorems and the properties of geometrical shapes, as well as challenging thought and inspiring deeper insight into the world of geometry. In particular, this…

This article describes "modeling" as the act of creating an "idealized version of a real-life situation" that has been "translated into mathematical terms." By exploring an open-ended investigation involving proportional reasoning, sixth grade students were able to walk through both problem solving and modelling. The…

Debates in education are often polarised by those who want students to be firmly told what they should take on board, and those who insist individuals learn best if they were liberated from all forms of collective arrangement (such as an education authority). Some politicians even fluctuate between the two sets of views without any underlying…

Teachers are natural problem solvers, and they should be using this quality to their advantage when it comes to solving the systemic issues that plague Philadelphia's education system. Many of the articles in this issue have already gone into great detail about what is happening in Philadelphia. Torch Lytle has provided a summary of the recent…

Students' success in solving problems involving proportional reasoning is an indication that they have moved beyond additive thinking to multiplicative thinking. However, classroom work indicates that many students do not reason proportionally in many practical contexts. The authors discuss a particular task that reveals students'…

Designing solutions to social problems requires some degree of interpretive accountability to the sociocultural systems in which design solutions must live. Our case studies show how ethnography of communication research generates distinctive resources for design. (Contains 5 notes.)

Einstein was blessed with a rare genius. He also understood the intellectual weight of a flight of fancy. He turned over the idea in his mind for a decade before concluding that the light beam next to him would appear to be at rest even though it was traveling at the speed of light. While it may be tempting to focus on Einstein's cognitive…

This article situates the "Framework for Success in Postsecondary Writing" in current educational policy and in the discipline of rhetoric and composition. It argues the Framework positions the discipline to address gaps in American education by reinvigorating historical and traditional frames for writing instruction--ancient rhetoric and the…

The CHROM Web applet has been used to create a new active-learning exercise in which students design a purification scheme for a recombinant protein using ion-exchange chromatography (IEC). To successfully complete the exercise, students are challenged to apply elementary concepts from acid-base chemistry as well as protein and amino acid…

This article discusses a writing project that offers students the opportunity to solve one of the most famous geometric problems of Greek antiquity; namely, the impossibility of trisecting the angle [pi]/3. Along the way, students study the history of Greek geometry problems as well as the life and achievements of Carl Friedrich Gauss. Included is…

This chapter presents an over-review of the related literature and describes current findings in learning disabilities. Specifically, a definition of learning disabilities (LD) is provided, followed by a description of the prognosis for students identified with LD, predictors of success, factors in coping, and the relationship of LD to behavior.…

This Introduction discusses approaches to and perspectives on analyzing the complex relationship between education, fragility, and conflict and its underlying causes and dynamics. It argues for the need for contextual and time-bound multi-level analyses of interlinked societal dimensions in order to address the ultimate purposes of education…

Researchers have extensively documented, and math teachers know from experience, that algebra is a "gatekeeper" to more advanced mathematical topics. Students must have a strong understanding of fundamental algebraic concepts to be successful in later mathematics courses. Unfortunately, algebraic misconceptions that students may form or…