Cognitive development of any concept is related with affective development. The present study investigates students' beliefs about the use of different types of representation in understanding the concept of fractions and their self-efficacy beliefs about their ability to transfer information between different types of representation, in relation…

This book shows how to increase one's power to analyze and comprehend problems. First, it outlines and illustrates the methods that good problem solvers use in attacking complex ideas. Then it gives some practice in applying these methods to a variety of questions in comprehension and reasoning. Chapters include: (1) "Test Your Mind--See How…

A three-dimensional classification system of mathematical problems is given. A background philosophy is constructed through an analysis of different approaches to problem-solving research, leading to the statement of 5 theses and the objectives for the study. An exploratory study of mathematical problem-solving processes is conducted within this…

The concepts of cognitive development and objectivity are explored preparatory to a discussion of a suitable theory of development to be used as the foundation for developmentally-based standardized tests. It is hypothesized that Piagetian theory is the most appropriate basis for such tests and two possible approaches for constructing…

Discusses several contradictory misconceptions exacerbating the problems of American education and discouraging original thought by students. (DD)

Presents results from Singaporean and Australian studies on the relationships between the cognitive variables and problem solving performance in three electrochemistry problems of different degrees of familiarity for comparisons. Concludes that idea association, problem translating skill, prior problem solving experience, specific knowledge, and…

Students' conceptions of the concept of force are discussed. Possible problem formats and exercises are presented. The need for many formats and variations to help students' resolve their conflicting ideas about physics concepts is stressed. (CW)

A special instructional intervention program to develop cognitive skills in hearing impaired adolescent students is analyzed and described, based on a special pilot project at the Model Secondary School for the Deaf (MSSD) at Gallaudet College. The program, Instrumental Enrichment, uses special pencil and paper exercises to focus on specific…

In his new book, Reuven Feuerstein explains the program he has developed to improve human ability to learn and to solve problems. (Author/MLF)

Applications of generalizations of both arithmetic and geometric progressions are presented. The first-order difference equation is used in solving seven examples from finance, business, and medicine. Detailed directions are included for each example. (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)

Various aspects of the cognitive model of physics problem solving are discussed in detail including relevant cues, encoding, memory, and input stimuli. The learning process involved in the recognition of familiar and non-familiar sensory stimuli is highlighted. Its four components include selection, acquisition, construction, and integration. The…

The relationship between a student's stated preference for solving a problem and his/her actual problem methodology, concrete or abstract, was studied. Comparisons were made between formal and nonformal students. (MP)

This three-volume report deals with the hypothesis that males are more successful at solving mathematical and spatial problems than females. The general relationship between visual spatial abilities and mathematical problem-solving ability is also investigated. The research sample consisted of seventh graders. Each pupil took five spatial tests…

Reports a study to examine secondary school students' (n=200) responses to two figurally and spatially similar problems from mathematics and science that require different responses before and after instruction. Results indicated that most students gave the same response to both questions. Reasons for this pattern are discussed. (MDH)