Fifteen research reports related to mathematics education are abstracted and analyzed. Six of the reports deal with aspects of learning theory, four with areas in mathematics instruction (calculus, elementary mathematics for students of economics, and planning for topics for kindergarten children), and two with assessment or prediction of…

Thinking-aloud protocols of human problem solvers working on geometry problems are presented and discussed. Protocols were obtained from six individuals working on nine different problems in which constructions were used. Nineteen protocols are presented with annotation and discussion, and other protocols are summarized. The primary purpose of the…

Described are the principles and processes of Instructional Systems Development (ISD). The ISD procedures have been used by the military and industry for a number of years, and this report provides a framework designed for a quick understanding of ISD without the need to locate and research voluminous government publications and other references.…

The research described here seeks to characterize the "managerial" aspects of expert and novice problem-solving behavior, and to describe the impact of managerial or "executive" actions on success or failure in problem solving. A framework for analyzing protocols of problem-solving sessions based on "episodes" of…

Teachers in elementary schools, supervisors of instruction, and other educational practitioners are the primary audience for this publication. The paper presents philosophical, psychological, and practical reasons for including a problem-solving approach in elementary school instruction. It draws on the writings of John Dewey, Jean Piaget, James…

Reported is a research project which investigated whether junior high students in the Ithaca, New York, area can acquire and use the "concept mapping" and "Gowin's 'V' mapping" strategies to facilitate meaningful learning. Concept mapping involves the identification, hierarchical organization, and graphic depiction of…

A three-year project conducted in 2 Indianapolis, Indiana, public elementary schools involved three phases: (1) the study of teacher, student, and school program needs in the teaching and learning of reading and writing; (2) teacher and administrator inservice education; and (3) curriculum development and implementation. The inservice component…

Focusing on how teachers can devise instructional routines to help students learn to learn, this paper discusses mechanisms for training students to devise their own strategies for learning. Because of the dominance of deliberate memory strategies in training research, the paper begins with a brief consideration of such literature, then proceeds…

Contained in these proceedings are: (1) two lectures; (2) reports from four working groups, three review groups, and three special groups; and (3) a list of participants. Lecture I, by Caleb Gattengo, was entitled "Reflections of 40 Years of Work on Mathematics Teaching." Lecture II, by David Hawkins, was entitled, "Understanding…

Provided is an examination of the methodology used to study the problems of learning addition and subtraction skills used by developmental researchers. The report has sections on categories of theory and their methodologies, which review: (1) Behaviorist, Neo-Behaviorist and Piagetian Theories; (2) the Behaviorist and Piagetian Paradigms; (3)…

Research and theoretical literature about adult development and adult learning are synthesized within a conceptual framework that has three basic domains: life phase, developmental stage, and learning style. The life phase includes theories that identify age-linked periods of stability and transition throughout adulthood. The development stage…

This researcher investigated the relationship of hierarchical classification processes in subjects categorized as to developmental level as defined by Piaget's theory, and explored the validity of the hierarchical model and test used in the study. A hierarchical classification test and a battery of four Piaget-type tasks were administered…

This fifth in a series of reports concerning school calendars examines the literature about learning, retention, and forgetting. The emphasis is necessarily on "time," as that is the major variable among calendars. Theories of memory are described: (1) storage and retrieval, and (2) imprint and trace decay. Relative to forgetting, a…

A model is proposed for memory that stresses a distinction between episodic memory for encoded personal experience and semantic memory for abstractors and generalizations. Basically, the model holds that questions influence the nature of memory representations formed during instruction, and that memory representation controls the way in which…

The challenge of specialization within school social work practice, as well as a broader, more comprehensive view of school social work, is discussed in a series of journal articles. In addition, the use of therapeutic principles within the school setting is documented. (KA)