Classroom teachers frequently use various programs, strategies, and techniques to enhance student thinking, including questioning, writing, and general information processing (meaning construction, encoding, matching, analyzing, representing, and abstracting). The paper notes other strategies not used or underutilized by teachers. (SM)

Two studies examined abstract conditional reasoning. Findings indicated an increase in use of formal justifications with grade, and that abstract reasoning was facilitated by realistic context. Findings supported the idea that such reasoning may represent a qualitative change in reasoning abilities and that its development relies on appropriate…

Examinees can correctly answer many Scholastic Assessment Test (SAT) reading items when the passages accompanying the items are missing. According to one hypothesis, examinees use information from other reading items (cognates) belonging to the same passage. The purpose of this study was to test that hypothesis for the revised SAT (SAT-I) reading…

This article presents specific instructional approaches and examples to develop the algebraic reasoning skills of middle and secondary students with mild disabilities. Discussion of the National Council of Teachers of Mathematics standards identifies general principles, content standards, and process standards. Discussion of effective instruction…

This study investigated differences and shifts in learning and motivation constructs among male and female students in a nonmajors, yearlong structured inquiry college physics course and examined how these variables were related to physics understanding and course achievement. Tests and questionnaires measured students' learning approaches,…

Two astronomy professors, using the Decoding the Disciplines process, help their students use abstract theories to analyze light and to visualize the enormous scale of astronomical concepts. (Contains 5 figures.)

In recent years, semiotics has become an innovative theoretical framework in mathematics education. The purpose of this article is to show that semiotics can be used to explain learning as a process of experimenting with and communicating about one's own representations (in particular "diagrams") of mathematical problems. As a paradigmatic…

Data structures and algorithms are core issues in computer programming. However, learning them is challenging for most students and many of them have various types of misconceptions on how algorithms work. In this study, we discuss the problem of identifying misconceptions on the principles of how algorithms work. Our context is algorithm…

The framework for this paper is a recently developed theory of abstraction in context. The paper reports on data collected from one student working on tasks concerned with absolute value functions. It examines the relationship between mathematical constructions and abstractions. It argues that an abstraction is a consolidated construction that can…

Searching for an adequate method to investigate human development (especially the development of theoretical thinking) Vygotsky and his collaborators developed the causal genetic method. The basic idea of this method consists in the investigation of psychic functions and structures by their formation under controlled conditions (for instance via a…

One of the most challenging daily experiences of teaching young adolescents is helping them transition from Piaget's concrete to the formal operational stage of cognitive development during the middle school years. Students who have reached formal operations can design and test hypotheses, engage in deductive reasoning, use flexible thinking,…

A cognitive or internal representation refers to an organized system of information which reflects certain, but not all, of the information about reality being represented. This paper considers various opinions, controversies, and debates about what representation is, how it comes about, and what forms of representation can be distinguished. The…

This study focused on the development of policy thought, or abstract thinking about policy issues. Political thought may be described as concrete thinking about political phenomena. It includes one's knowledge of and attitude toward objects, people, and events in the political sphere. Policy thought entails the abstract manner in which one…

Two groups of l4 mothers were interviewed to study how parents reason about their children's behavior. The two samples differed considerably in terms of education, age, race, and socioeconomic status. The first group, high school educated, averaged 24 years of age, and, if married, had spouses with blue-collar jobs. The second group, college…

A study was designed to investigate the nature of language proficiency and its cross-lingual dimensions. The focus of the study was on the interdependence hypothesis, that older immigrant students whose first language (L1) cognitive/academic proficiency is better developed on arrival in Canada will acquire English cognitive/academic skills more…