Investigated is the ability of high school pupils and university students to answer questions based on relationships within food webs using sound ecological principles. Research methods used and the results of this study are discussed. (CW)

The first of two parts in this document is a student workbook which is designed to teach students how to construct a concept map, i.e., a graphic arrangement of the key concepts in a body of subject matter with connecting lines labelled to show valid and meaningful relationships between the chosen concepts. The workbook provides a discussion of…

Compared are the van Hiele levels of geometric thinking and the geometry curriculum recommended by the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics. Activities which illustrate the various levels are provided by grade level with procedures. (CW)

This book brings a philosophical perspective to the topic of children's thinking. It attempts to answer the questions of what it is to think and understand, and how children do so. The book provides an introduction to the philosophy of education as it relates to children's understanding, and is careful not to assume any previous philosophical…

Presents two cognitive models that illustrate the commonalities between reading for meaning and solving mathematical problems with meaning. Discusses the importance of number sense in the prior knowledge component of the solving with meaning model and the implications of the models in teaching mathematics. (MDH)

This paper defines the concept of structured processing as an activity that encourages students to reflect, describe, analyze, and communicate that which was recently experienced. The paper explores structured processing, outlines a cognitive processing hierarchy, and suggests methods for designing and leading processing activities for…

Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)

Learning to teach mathematics for understanding is not easy. First, practice itself is complex. Second, many teachers' traditional experiences with and orientations to mathematics and its pedagogy are additional hindrances. This paper examines teaching practices and reviews some of what is known about prospective and experienced elementary…

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)

Interviews with 72 mixed ability students, aged 7 to 12, about arithmetic problem-solving strategies, indicated that the preference between procedural and deductive strategies becomes a divergent reality across ability levels. Among the conclusions is that more able children tend to be doing a qualitatively different sort of mathematics than their…

The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

Discusses the use of Aristolean logic in developing practical reasoning and arguments. Asserts that practical arguments are used to explain why an individual took action based on practical reasoning. Contends that this approach should be used by teachers in applying research findings to instruction and in encouraging students to support their…

Discusses the use of cognitive strategy instruction to improve students' performance in mathematics. The theoretical and research base for strategy instruction is reviewed, and developmental characteristics of students who have difficulties in mathematics are examined. A practical example of cognitive strategy instruction illustrates assessment…

Discusses the importance of instruction in metacognition, the mental process of observing, evaluating, and making adjustments in one's own thinking behavior to enhance comprehension during a learning activity. Reviews educational programs which have taught metacognitive behaviors and charts a model instructional approach for use in the college…

This paper reviewed literature on cognition to help art teachers understand what they can learn from the huge body of literature that has been generated by cognitive psychologists. It is argued that, in this information society, teaching memorization skills is not enough; students must learn problem-solving skills. A long list of specific thinking…