Most educators want to provide appropriate instruction for the diverse learning needs of their students, however moving from theory to practice can stymie both novice and experienced teachers. The author shows middle- and secondary-level teachers how to plan a differentiated lesson from start to finish, detailing the steps to take before, during,…

This paper presents an alternate perspective for utilizing the action/process/object framework when discussing student conceptions of function. This perspective extends previously used frameworks by incorporating student conceptions that deal with functional properties and situational contexts, but differs in the analysis of the nature of the…

Presents three types of simple events knowledge models: (1) a simple list of events; (2) a list of cause-effect sequences; and (3) a list of events that describe a problem and its solution. (SR)

While astronomy has recently re-emerged in many science curricula, there remain unresolved teaching and learning difficulties peculiar to astronomy education. This paper argues that mental model building, the core process in astronomy itself, should be reflected in astronomy education. Also, this crucial skill may promote a better understanding of…

Reports a study which identified different problem-solving strategies among Hong Kong high school chemistry students. Finds that student experts employed a recognition plus a working forwards strategy, whereas student novices attempted a means-end analysis to create a solution procedure. Comparisons were made with problem-solving in physics. (GG)

Reviews research indicating that students' cognitive models hold random events to be equiprobable Examined 87 students between the ages of 15 and 17 to determine whether masking a random event using geometric figures would affect the students' view of the event as equiprobable. Results indicated that masking overcame the equiprobable bias of the…

Examines quantitative models in school physics, looking particularly at the degree to which they match the real world. Explores the positive aspects of a mismatch between models and real world conditions. (DDR)

Evaluation of Israeli students, 392 in grades 7-9 and 381 in grades 10-12, in the domain of literature supported the construct validity of the 4 X 4 Structure of Giftedness Model, in which giftedness is conceptualized in 4 categories of general and specific intellectual ability and original thinking and 4 ordered ability levels embedded in a…

Described is research which sought to prove the hypothesis that mental models tend to preserve their autonomy with regard to the originals they are meant to represent. The results of this investigation involving 200 Israeli students are presented. (CW)

Shows how box diagrams and AVOW diagrams may be used to solve problems concerning networks of resistors that obey Ohm's Law. Presents outcomes and feedback from students and teachers. Concludes with suggestions as to how these techniques might be incorporated into the teaching of basic circuit theory. (Contains 22 references.) (DDR)

This study applied previously identified cognitive theory and research to the development of an instructional design model for teaching mental aspects underlying work and family activities in a context of rapid change and high technology. The model was tested by developing a prototype, materials required by the prototype were developed, and the…

The purpose of this study was to investigate the effect of an eclectic thinking processes model on the logical reasoning abilities of students in grades six through twelve. The experimental school consisted of 159 students whereas the control school had 111 students. The Group Assessment of Logical Thinking (GALT) was administered to the sample as…

Presents a knowledge representation model that was designed for instructional decision making. Topics discussed include classification models for instructional design; artificial intelligence; semantic networks; natural language; and data models, including network and hierarchical models. An example is given of knowledge analysis for a secondary…

In this paper examples of the role of analogical reasoning in expert problem solving are presented. These are intended to show that using an analogy can change an expert's understanding of a problem situation by changing the conceptual model he or she uses to think about the situation. This suggests that using a good analogy may allow students to…

This paper presents evidence to indicate that spontaneously generated analogies can play a significant role in the problem solving process of scientifically trained individuals. In addition, it is suggested that these individuals exhibit more than one method for generating analogies. Ten scientists (representing physics, mathematics, and computer…