This paper focuses on the changes in thinking involved in the transition from school mathematics to formal proof in pure mathematics at university. School mathematics is seen as a combination of visual representations, including geometry and graphs, together with symbolic calculations and manipulations. Pure mathematics in university shifts…

One of the most challenging daily experiences of teaching young adolescents is helping them transition from Piaget's concrete to the formal operational stage of cognitive development during the middle school years. Students who have reached formal operations can design and test hypotheses, engage in deductive reasoning, use flexible thinking,…

This paper discusses the utility of a general systems theory paradigm for psychology. The paradigm can be used for conceptualizing such complex phenomena as change over time in living systems, person-society interactions, and the epistemology of multiply determined changes. Consideration is also given to applications of the approach to…

Studied children's transitive inference where representation of premises provided contradictory information depending on position of two elements in a A, B, C series. Eight-year olds did significantly better on the more complex problems than did six-year olds, suggesting the presence of a developmental sequence of algorithms that enable children…

Examined high school students' scores on test of formal thinking and those on test of reading. Students' success on both tests was disappointingly low. Lack of motivation appeared to be major problem. Correlations between scores on two tests were relatively low, although there was suggestive similarity between distribution of scores for formal…

This paper provides an introduction to the Alberta Education Developmental Framework, and describes the provincial department's position on curriculum and the cognitive domain. Intended for use in designing and implementing instruction, the developmental framework delineates the developmental stages and processes through which students progress,…

Discusses a study which compared differences in ratio construction made by high school freshman and junior students. Reports that more freshmen than juniors selected solutions involving one variable, whereas juniors chose solutions that coordinated two variables in a mathematical or verbal rule. Reviews implications in problem solving and concept…

Reviews the neural modeling principles of learning, perception, cognition, and motor control, discusses their applications to sensory-motor problem solving, and explores possible relationships between that pattern of problem solving and aspects of higher order formal operational problem solving. Cites implications for science education. (ML)

Attempts to show that not only can density be taught to lower ability pupils but that by doing so, there is the possibility of assisting pupils to develop their reasoning powers. Lists teaching activities that help in this process. (CW)

Presents study findings which explored the effect of teacher reasoning level and teaching style preference on improvement in student-reasoning ability. Reports that students of concrete operational teachers and of inquiry teachers showed greater gains in reasoning ability than students of formal operational teachers and of expository teachers. (ML)

Five- to six-year-old children estimated the size of Euclidian objects using an addition rule of Height plus Width, rather than a multiplying rule. Within the framework of information integration theory, tested whether intensive handling of objects would facilitate shift from addition rule to multiplication rule. Found that following handling,…

This paper describes a study designed to investigate the development of scientific reasoning or logical thinking patterns of South Korean secodary school students. The scientific reasoning or logical thinking patterns were categorized into patterns of logic such as seriation, combinations, proportion, control of variables, probability, and…

A teaching procedure and a curriculum construction model known as the learning cycle is described in this paper and research findings are discussed. Questions investigated include: (1) would students achieve more content understanding if taught with the learning cycle or exposition?; (2) would more content retention be evident if measurements were…

Reviewed are recent studies of the cognitive development of Chinese children. The discussion identifies: (1) systematic studies of children's cognitive development; (2) studies on the development of thinking; (3) studies of memory development; and (4) studies on the influences of various national cultures and education on the development of…

The purpose of this descriptive study was to investigate the developmental patterns in logical reasoning of students in grades 6-10 over a span of 20 months. The Group Assessment of Logical Thinking (GALT) was administered to the sample (N=84) during the fall of 1986, the fall of 1987, and the spring of 1988. The GALT measures six reasoning modes:…