This set of transparency masters of mathematical puzzles has as its intent the development of logical and perceptual skills. The puzzles include patterns, magic squares, and counting problems. Solutions and follow-up suggestions are provided on the back of each page. (MP)

Activities to extend the core curriculum through the study of the periodicity of rational numbers to help students develop calculator and research skills are presented. Four worksheets are included, to be used as discovery activities. A computer program is listed, as well as examples of periodic pictures. (MNS)

Described is a project in a third grade class in which problem-solving skills are developed through activities with patterns. Activities for growing picture patterns, making number tables, and developing open sentences or formulas are discussed and illustrated. (MNS)

Local, state, and national professional organizations have endorsed problem solving as the most important outcome to be achieved in a K-12 mathematics program. This booklet illustrates some ways to teach different problem solving strategies to elementary school students. It concentrates on methods involving: (1) working background; (2) using a…

Although medical education currently emphasizes problem solving skills, recent evidence from psychological studies of clinical reasoning suggests that medical expertise is characterized by the gradual accumulation of experience in memory. This results in an ability to perceive, organize, and recall the extensive information given by the patient.…

Research was conducted investigating properties of skill in learning, in the domain of elementary algebra. Thinking-aloud protocols indicate that early knowledge of the subjects studied was fragmentary, rather than involving systematically flawed procedures. Computational models, developed to simulate observed errors, focused on the role of…

This collection of activities is designed to help students develop critical thinking skills. The activities are non-graded and can be used from upper elementary to high school. Reading levels vary from no reading required to very little reading required and can be used effectively with students who are poor readers, bilingual, or at a special…

This collection of activities is designed to help students develop critical thinking skills. The activities are non-graded and can be used from upper elementary to high school. The reading levels vary from no reading required to very little reading required and can be used effectively with students who are poor readers, bilingual, or at a special…

Reports unique solutions given to five problems from individual students in mathematics courses for prospective elementary school teachers oriented toward problem solving. Concludes that such courses are feasible, promote problem-solving abilities and strategies, and develop appreciation and confidence in preservice teachers. (MDH)

Presented are four activities which allow students to work with rhombus patterns. These activities encourage students to search for, test, and verify patterns and to also practice computation and work with ratios. Diagrams needed for each activity are included. (KR)

Described is a learning activity that requires students to observe, read, and interpret graphs and organize and describe data. Included are the grade level, materials, objectives, prerequisites, directions, answers to questions, and copies of handouts. (KR)

Described is a method for drawing periodic tile patterns using LOGO. Squares, triangles, hexagons, shape filling, and random tile laying are included. These activities incorporate problem solving, programing methods, and the geometry of angles and polygons. (KR)

This article describes a way in which the computer can be used by students in exploring patterns and solving problems associated with number theory. BASIC programs are described, along with classroom questions and procedures that aid in implementation. (Author/KR)

Aspects of problem-solving measured here are delay of gratification, field-dependence independence, and the relection-impulsivity dimension. The following hypotheses are proposed (1) Those subjects who score high on externality will not delay gratification as those who score low, but they will score lower on measures on field-independence than…

Research developments in cognitive psychology, and their implications for teaching and learning at the level of professional education, are summarized. Areas discussed include organization of long-term memory, influences on storage and retrieval from memory, problem solving and transfer/use of analogy, concept formation/categorization/pattern…