Presents research findings and teaching implications of mathematics as reasoning and students' reasoning abilities in mathematics. (20 references) (MKR)

(MDH)

Words are only one way of symbolizing ideas. Numbers, pictures, graphs, maps, diagrams, photographs, and other means are also used to convey information. Researchers refer to notational systems such as graphs, diagrams, and maps as "inscriptions." Inscriptions are tools that help people to perceive and to talk about spatial worlds. Spatial…

Well-known questioning strategies, built on question classification systems, are examined. Types of question classification systems are identified as: "hierarchical," which are sequential and cumulative; "non-hierarchical," which are based on elements which should not be rank ordered; systems which are "context-bound" to specifics; and…

Effective intervention strategies for learning disabled students should recognize such cognitive deficiencies as weaknesses in attention, memory deficits, and problems in generalizing and abstracting information. Approaches which emphasize enhanced learning processes include: self-monitoring; repetition and deliberate instruction in control…

Describes a schema-theoretic view of how analogies enhance students' prior knowledge; reviews some of the recent studies using analogies to assist students' comprehension of science text; and illustrates the use of an analogical study guide in biology. (HOD)

Recent research literature has highlighted the interest of both teachers and researchers in using analogies to aid students' conceptual understanding. This appears to be especially relevant in secondary chemistry education due to the many abstract concepts that are included in the curricula. This paper reviews recent literature and considers…

The importance of instructing gifted students in correlational reasoning is emphasized, with attention to what the skill involves and why it is difficult to learn; effective teaching strategies; and successful programs in whole-class, cooperative-learning, and computer formats. Implications in programming for gifted students are discussed. (SW)

Intended for teachers across grade levels and disciplines, this monograph reviews research on the development of critical thinking skills and introduces a series of these skills that can be incorporated into classroom teaching. Beginning with a definition of critical thinking, the monograph contains two main sections. The first section reviews…

Reports on a study of how naive theories, age, and education relate to higher order thinking among 54 adolescents and adults. Finds that, regardless of age and education, all subjects referred to naive theories to identify causes and create remedial strategies for social problems. (CFR)

Constructs a model applying evolutionary biology theory to the development of children's sense of justice. Maintains that competition for scarce resources causes many of the moral problems involving justice. Examines the place of emotions in the sense of justice. Hypothesizes rules of justice that predate cultural history. (CH)