Proportionality can be considered among the most important mathematical notions in the middle school math curriculum (grades 5 to 8). It is the capstone of elementary arithmetic, number, and measurement concepts, and at the same time one of the most elementary understandings one needs for more advanced mathematics. Understanding proportionality is…

The Logic Model Workshop Toolkit is designed to help practitioners learn the purpose of logic models, the different elements of a logic model, and the appropriate steps for developing and using a logic model for program evaluation. Topics covered in the sessions include an overview of logic models, the elements of a logic model, an introduction to…

A logic model, also called a conceptual model and theory-of-change model, is a visual representation of how a program is expected to "work." It relates resources, activities, and the intended changes or impacts that a program is expected to create. Typically, logic models are diagrams or flow charts with illustrations, text, and arrows that…

One of the best tools for sharpening students' problem solving skills can be found in the mystery story, which calls for logical thinking, paying attention to detail, and distinguishing between facts and assumptions. Activities that can help to develop problem solving skills are described along with several references to mystery magazines and…

Instruction is provided on the use of the Keller plan, a structured, self-instructional, self-paced method, to teach introductory logic to undergraduates. First, an overview of the Keller plan is presented, indicating that students work through units of course material on their own, at their own pace, and when they feel prepared to exhibit that…

Described is the Cognitive Acceleration through Science Education (CASE) project in Great Britain. The project is investigating the possiblilty of accelerating the rate at which secondary pupils' logical thinking develops by using the science curriculum. A pilot project and parts of the curriculum are discussed. (RH)

The nature of thinking is the subject of this second part in a series which is examining various topics and issues related to the controversy of whether or not computers can think. Suggests that intelligence is the ability to develop general ideas and not the ability to apply those ideas. (JN)

A program designed to teach cognitive strategies through logical problem-solving and developed for elementary learning disabled students is presented. For each problem set, the instructional procedure involves a discovery activity, discussion, conclusion, follow-up activities, and integration. Five samples of the program's problem sets (e.g.,…

A discussion of the Socratic method for college-level teaching looks at the three primary components of the method (systematic questioning, inductive reasoning, and universal definitions) and several additional relevant elements, including the testing of hypotheses and use of background information. One teacher's classroom techniques are…

Before a course to improve basic reasoning skills can be intelligently designed, it will be necessary to determine the exact nature of those skills. Research indicates that: (1) reasoning skills are highly specific, not generalized; (2) a large number of different reasoning skills exist; (3) many reasoning skills are language dependent and widely…

A rationale is presented for teaching gifted students to gain computer literacy, learn programing, use utility software (e.g., word processing packages), and use interactive educational courseware containing drills, simulations, or educational strategy games to develop higher level and creative thinking skills. Evaluation of courseware for gifted…

Discusses the application of induction using a two-player game with sticks. Describes a winning strategy for the game with n sticks; number of moves to complete the game; and changing the rules of the game. (YP)

This paper describes the Structure-Mapping Engine (SME), a cognitive simulation program for studying human analogical processing. SME is based on Gentner's Structure-Mapping theory of analogy, and provides a "tool kit" for constructing matching algorithms consistent with this theory. This flexibility enhances cognitive simulation studies by…

Topics and issues which are central features of current secondary school economics curricula can be used to develop two aspects of students' thinking skills: (1) the development of problem-solving skills, and (2) the recognition of logical fallacies. The efficacy of economics instruction as a vehicle for developing student problem-solving skills…

Discusses the human brain's specialized perception/expression and information processing systems as they relate to student learning. For high school students in the formal reasoning stage, it is suggested that teachers provide instruction based on mental exercises to develop problem-solving insight. (DH)