How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

Reasoning and logical thinking can be defined and explained from different perspectives. Three approaches are reviewed in this report; they are: (1) the logical structure approach; (2) the Piagetian approach of developmental stages; and (3) the information processing or memory approach. Four hypotheses related to these approaches were investigated…

Comparison of elementary grade students with (N=42) or without (N=42) learning disabilities (LD) on their logical-mathematical structures of thought found that, though both groups generated grouping relationships, children with LD tendered to generate solutions showing less coordinated structures of thought. For both groups, scores on the…

Students and instructors may be frustrated with students' lack of understanding of sociological concepts. We suggest that the difficulty of teaching and learning sociology is that sociological concepts and relationships require the use of abstract reasoning patterns. Many students are unaccustomed to using these abstract reasoning patterns. We use…

Students (N=22) enrolled in secondary school biology were evaluated for their abilities to use: combinatorial logic; correlational reasoning; separation and control of variables; exclusion of irrelevant variables; proportional reasoning; and probabilistic reasoning. Each student responded individually to six Piagetian tasks designed to measure…

This study hypothesized that subjects who display proportional responses on the Pouring Water Task have developed the ability to comprehend logical arguments of the form referred to as "reasoning to a contradiction," while subjects who display additive responses on the same task have not. To test this hypothesis, 100 additive and…

Investigates the relationship between class inclusion and reasoning in 56 Dutch Children between 6 and 14 years of age. Concludes that when the children failed to respond correctly to questions about the validity of syllogisms, they did so because they lacked sufficient understanding of the premises. (HOD)

The field of education has largely ignored the concept of the dialectic, except in the Socratic teaching method, and even there bipolar meaning or reasoning has not been recognized. Mainstream educational psychology bases its assumptions about human reasoning and learning on current demonstrative concepts of information processing and levels of…

Recently, a number of studies have reported a high correlation between the supposedly separate traits described as integrated science process skills and formal reasoning ability. The implication has been that these two constructs are different but related. Further implications have been made that a treatment to enhance one "trait" might…

This study examined the problem-solving protocols of 21 students in a grade 11 enriched physics course as well as 3 adult "experts" in physics. Experts and high performing students made more correct metastatements and more references to prior knowledge than did average performing students. (DB)

To investigate similarity judgements in different cultural contexts, the performance of two groups of children on seven similarity tasks and on two tests of metaphor was compared. The 45 Canadian and 45 Canadian-Greek children (ages 5, 8, and 11) had different cultural and linguistic backgrounds but common schooling experiences. The seven tasks…

Thirteen learning disabled and 15 remedial high school students were taught reasoning skills using computer-assisted instruction and were given basic or elaborated corrections. Criterion-referenced test scores were significantly higher for the elaborated-corrections treatment on the post- and maintenance tests and on a transfer test assessing…

Examines the findings of 53 studies of sex differences in propositional logic, combinatorial reasoning, and proportional reasoning tasks. Finds sex differences for the latter two tasks to be vulnerable to Rosenthal's "file drawer" problem and effect size to be small for all tasks. Discusses possible explanations for sex differences in…

Tested hypothesis that understanding validity of inference is a relatively late development by asking fourth and seventh graders and college students to sort sets of deductive arguments. None of fourth graders, 45 percent of seventh graders, and 85 percent of college students used validity as basis for distinguishing arguments. Experiments…

This paper contains a consideration of the nature and role of warrants for research conclusions in educational research. The paper argues the need for an explicit warrant in the form of a logical and persuasive link between the evidence produced and the conclusions drawn (with appropriate qualifications and caveats). It describes social scientific…