The purpose of these notes is to generalize and extend a challenging geometry problem from a mathematics competition. The notes also contain solution sketches pertaining to the problems discussed.

The group work test is an assessment strategy that promotes higher-order thinking skills for solving context-rich problems. With this format, teachers are able to pose challenging, nuanced questions on a test, while providing the support weaker students need to get started and show their understanding. The test begins with a group discussion…

The purpose of geography education is to foster the development of citizens who will actively seek and systematically apply the knowledge and skills of geography in life situations. Geography education must be responsive to the abilities and needs of students and to the societal and workplace requirements of the community, the nation, and the…

All students need to know and understand the origins and evolution of their nation. They also need to understand the development of the nation's democratic institutions and ideals so that they are prepared to take part knowledgeably, as citizens and voters, in shaping America's future. The framework in U.S. history for the 1994-2018 National…

Prior research suggests that students' understanding of scientific concepts is pre-determined by their reasoning ability. Other efforts suggest that American students' scientific literacy is in decline. One difficulty Bybee (2009) acknowledges is that there are two divergent philosophical models of scientific literacy. The first describes the…

The ReDistricting Game is an online simulation game that engages learners in the redistricting process and spotlights the problem of gerrymandering districts in the United States. Hands-on simulation games such as this one can motivate students to think at higher levels and master key concepts. The concept of redistricting does not automatically…

This document sets forth the design of a test of reading comprehension. The exam requires students to read passages of written English text--either literary or informational--and to answer questions about what they have read. In some cases, the questions deal with facts in the text or vocabulary. In other cases, a complete answer requires a clear…

This article reports on the third year of a three-year longitudinal investigation into six secondary students' understanding of optics at a secondary school level. In the third year of this investigation the students, who by now were in Year 12, underwent a teaching sequence that centred on the teaching and learning of physical optics and quantum…

A Piagetian-based, systematic instructional theory developed by A. E. Lawson was used as a reasoning model in a 12th-grade English course at Grand Island Senior High in Grand Island, Nebraska, from 1982 to 1991. The thinking patterns that comprised the hypothetical-deductive stage of human intellectual development used in the course were…

An action research project was designed to enhance the creativity and thinking skills of students in a studio art class at the secondary level. The project was conducted between September and December 2002 at a Catholic high school near an urban center. Data were collected using observations, surveys, and document analysis. The targeted population…

Each year over one million high school students complete the SAT[superscript R] I. Information on repeat testing and the probability that a student's SAT I score will change may help students and educators make better-informed decisions about retesting. This information would also be useful for high school counselors who advise students regarding…

This document lists and outlines the specific educational objectives of the content of the 1994 National Assessment of Educational Progress's Geography Assessment. The document is divided into two sections: "Assessment Specifications" and "Exercise Specifications." The "Assessment Specifications" provide an overall…

In the 1992 mathematics assessment of the National Assessment of Educational Progress (NAEP), approximately one-third of the questions and about half of the student response time were devoted to questions asking students to construct their own responses. Regular constructed response items required a short answer with a problem solution, while…