Describes the use of chess instruction to develop abstract thinking skills and problem solving among gifted students. Offers suggestions for starting school chess programs, teaching and evaluating chess skills, and measuring the success of both student-players and the program in general. (PB)

Explores the effects of Roundhouse diagram construction on a previously low-performing middle school science student's struggles to understand abstract science concepts and principles. Based on a metacognition-based visual learning model, aims to elucidate the process by which Roundhouse diagramming helps learners bootstrap their current…

Describes a study in which 383 children in grades 1 through 5 were individually interviewed to find out at what point they construct unit iteration out of transitive reasoning. Indicates that most children construct unit iteration out of transitive reasoning by fourth grade. Suggests a better approach to the teaching of measurement that presents…

Encourages teachers to listen more carefully to what students say. Discusses two modes of reasoning in an effort to understand more deeply what students hear and the styles of reasoning that they might use in mathematics. (Contains 12 references.) (ASK)

This article argues that advanced mathematical thinking, usually conceived as thinking in advanced mathematics, might profitably be viewed as advanced thinking in mathematics (advanced mathematical-thinking). Hence, advanced mathematical-thinking can properly be viewed as potentially starting in elementary school. The definition of mathematical…

The teaching and learning of statistics has impacted the curriculum in elementary, secondary, and post-secondary education. Because of this growing movement to expand and include statistics into all levels of education, there is also a considerable interest in how to teach statistics. For statistics concepts that tend to be very difficult or…

Abstraction is a major concept in computer science and serves as a powerful tool in software development. Pattern-oriented instruction (POI) is a pedagogical approach that incorporates patterns in an introductory computer science course in order to structure the learning of algorithmic problem solving. This paper examines abstraction processes in…

Analyzes the attitudes teachers hold about the use of abstractions in children's writing and examines some of the diction teachers impose on students in the name of concreteness. (RB)

Teaching students to use specific details is perhaps the college writing teacher's most troublesome job. Much time and effort is wasted by marking students' papers with comments such as "specify,""details,""illustrate," or "demonstrate." Significant concrete details should occur to a writer before the generalization does, since the best kind of…

Learning potential hypothesis and its applicability to hearing and deaf low-achieving students was examined in this article. Results indicate that learning potential procedures can be used effectively with the deaf. Implications for theory and future research are discussed. (Author/DF)

Four instructional treatments differing in structure and student responsibility were used with 60 abstract-thinking and 60 concrete-thinking students. A differentiated outcomes hypothesis is offered to account for the findings. (Authors)

Details a study that assessed two experimental approaches to improving reading comprehension among fourth grade children--one involving training in syllogistic reasoning and the other using comprehension questions--and concludes that neither approach was effective. (FL)

A framework for using and changing concepts in the study of science is described. (JD)

Shows how a teacher's questions and responses have positive impact on student comprehension. (MKM)

Describes a week-long activity for general to honors-level students that addresses Hubble's law and the universal expansion theory. Uses a discrepant event-type activity to lead up to the abstract principles of the universal expansion theory. (JRH)