Evaluation is an act of persuasion directed to a specific audience concerning the solution of a problem. The process of evaluation is prescribed by the nature of knowledge--which is generally complex, always uncertain (in varying degrees), and not always propositional--and by the nature of logic, which is always selective. In the process of…

Preservice elementary teachers worked cooperatively to explore the relationship between the measure of the central angle and the number of sides of regular polygons using the reflection of a line in a hinged mirror. The experience involved conjecture and experimentation, communication, and building connections between science, geometry, and…

An appraisal of medical education and college preparation for medicine was undertaken through public hearings and written submissions from 82 medical schools, 24 colleges, and 21 professional societies. Views and suggestions were provided on learning, clinical education, college preparation and admission to medical school, and faculty. It was…

This study planned further research aimed at understanding how the current version of the Graduate Record Examinations (GRE) analytical measure reflects cognitive skills that are important to success in graduate education. Several activities were completed, including selective literature reviews of: (1) cognitive and psychometric research on…

The teaching of critical thinking is discussed, based on the view that methods of teaching critical thinking vary from discipline to discipline. After covering basic concepts related to teaching critical thinking, a framework to examine the process of critical thinking is presented, based on cognitive science and developmental theory, especially…

A series of tests was administered to Ontario, Canada students who had completed the eighth grade: mathematics, reading, language, written English, social studies, science, health, physical fitness, French as a second language, French as a first language, written French, values, moral reasoning, problem solving, and attitudes. Approximately 50…

In order to determine the differential ability of mildly retarded school children to profit from coaching on non-verbal, non-academic reasoning problems and to study their problem solving and conceptual behavior, the Raven Coloured Progressive Matrices Test was given to 72 educable students (IQ 55 to 80) in socioeconomically homogeneous suburban…

Provides a rationale and overview of the content of the working draft of the Curriculum and Evaluation Standards for School Mathematics, developed by the National Council of Teachers of Matematics. (PK)

Presents a series of four worksheets to develop students' perception of spatial relationships. The tasks require students to use cubes to build models and describe the models by representing the front, right, and top views on grid paper. Provides reproducible worksheets. (MDH)

Imagery use in high school mathematics classrooms was studied. A visual image was defined as a mental scheme depicting visual or spatial information, but this definition was not spelled out to teachers or students, in order to learn what they meant by the concept. Subjects were 13 high school teachers and 54 of their students interviewed over 3…

Higher order cognitive development and success in the study of high school mathematics and science require an understanding of rational number concepts and facility with proportional reasoning and computation. Proportional reasoning is an essential schema for developing formal operational thought. This study involving 16 ninth-grade students was…

The essentials of Piaget's theory and its application to teaching at the college level are described as part of the Learning and Evaluation Service workshop, Teaching Students to Reason, offered at Michigan State University. Objectives are to enable the teacher to: (1) diagnose and classify reasoning patterns of students; (2) evaluate current…

In 1985, for the first time, Pennsylvania's student assessment program included measures of a higher order thinking skills goal termed Analytical Thinking. These tests utilize a decision-making model to assess such skills as drawing inferences, identifying appropriate information to gather before making a decision, analogical reasoning,…

One of three related documents produced in response to a need for direct instruction in thinking skills at the secondary level, this program for high school students bases its approach on involvement of students in direct experiences. Designed to build on the thinking skills that the student already possesses and, ideally, on the experience gained…

Three experimental studies were carried out to examine the ability of groups of learners of English as a second language to solve problems of deductive reasoning (three term linear syllogisms) in their native and second languages. In the first study involving Canadian francophones studying English, subjects solved problems more effectively in…