This book includes two main sections: a discussion of problem solving and a section on computation with whole numbers. A primary theme of the text is that problem solving sets the stage for meaning and conceptual development with respect to numbers. The section on problem solving includes numerous problem-solving activities that have a dual…

Previous studies have found that children have difficulty solving proportional reasoning problems involving discrete units until 10 to 12 years of age, but can solve parallel problems involving continuous quantities by 6 years of age. The present studies examine where children go wrong in processing proportions that involve discrete quantities. A…

Researchers have examined inductive reasoning to identify different cognitive processes when participants deal with inductive problems. This article presents a prescriptive theory of inductive reasoning that identifies cognitive processing using a procedural strategy for making comparisons. It is hypothesized that training in the use of the…

The problem solving strategies of 17 learning disabled (LD) and 17 non LD boys at the upper elementary level were compared across four multiple discrimination tasks listing a split plot analysis of variance design. Ss were randomly assigned to one of two conditions in which feedback stimuli were either removed or maintained. Ss' performances on…

A pilot study in which four postsecondary students with learning problems participated in sessions modeled after R. Feuerstein's theory of cognitive modifiability (instrumental enrichment) indicated the potential power of the Feuerstein method to improve learning disabled students' cognitive skills. (CL)

Groups of middle-aged and elderly women were compared on problem solving behavior. Results indicated a decline in the use of classification skills among the elderly and an inability to use constraint-seeking questions. (ST)

We investigated the effects of different amounts of distraction on preschoolers' task performance and attention. Children 3.5 and 4 years of age completed problem-solving tasks in one of three conditions: no distraction, intermittent (periodic) distraction, or continuous distraction. The results revealed differential effects of the distractors at…

Teachers know their students must struggle and grapple with authentic tasks in order to grow stronger. Classroom teachers of the gifted know that their students cannot advance cognitively without facing relevant and challenging material that demands higher level thinking and reasoning. Therefore, the teacher of gifted mathematics students must…

RESEARCH FINDINGS RELATED TO RIGIDITY IN CHILDREN'S PROBLEM-SOLVING ACTIVITIES ARE REVIEWED. EINSTELLUNG RIGIDITY WHICH AFFECTS CHILDREN'S PERFORMANCE IN PROBLEM SOLVING IS CAUSED BY THE MATERIALS AND THE SEQUENCE OF EVENTS INVOLVED IN PROBLEM SITUATIONS. FUNCTIONAL FIXATION OCCURS WHEN CHILDREN ARE UNABLE TO USE OBJECTS FOR PROCESSES IN THE…

This article is based on a doctoral dissertation submitted to the Department of Psychology, University of Michigan. (MH)

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…

Reviews significant findings of recent brain research, including the concept of five minds: automatic, subconscious, practical, creative, and spiritual. Suggests approaches to training the brain that are related to this hierarchy of thinking. (JOW)

The internal use of language during problem solving is considered to play a key role in executive functioning. This role provides a means for self-reflection and self-questioning during the formation of rules and plans and a capacity to control and monitor behavior during problem-solving activity. Given that increasingly sophisticated language is…

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…

The study with 30 five-year-olds and 30 seven-year-olds demonstrated that children as young as five have an emerging ability to solve both verbal and perceptual proportional analogy problems and to detect the meaning of proportional metaphoric sentences. (Author/DB)