Discusses geometrical reasoning in the framework of the theory of Figural Concepts to highlight the interaction between the figural and conceptual components of geometrical concepts. Examples of students' difficulties and errors in geometrical reasoning are interpreted according to the internal tension that appears in figural concepts resulting…

Fifty-three elementary school children were tested on Incidental Science Knowledge, i.e., knowledge acquired by chance outside school, and the results obtained were correlated with intellectual development and cognitive style as measured by interviews and group testing, respectively. Indicates that cognitive style and misconception play a…

Examined fifth-grade students' survey responses to investigate incorrect rules that derive from children's efforts to interpret decimals as integers or as fractions. Regarding fractions, difficulties arise because only the whole-part approach to fractions is presented in elementary school. (Author/MDH)

Investigates commonsense knowledge schemes connecting the elements weight, air, and gravity to the phenomena of free fall of a range of students from primary school children to adults. Finds that majority of people from the secondary education level onwards held alternative schemes. Discusses educational impacts of mass media. (Author/YP)

To investigate the origins and nature of intuitive obstacles affecting the learning of elementary probability theory, 618 Italian elementary and middle school students were interviewed about their methods of solution for several problems dealing with probability. The discussion focuses on four varieties of obstacles to learning prevalent within…