A theoretical model describing young students' (Grades 1-3) functional-thinking modes was formulated and validated empirically (n = 345), hypothesizing that young students' functional-thinking modes consist of recursive patterning, covariational thinking, correspondence-particular, and correspondence-general factors. Data analysis suggested that…

The authors examined curricular effectiveness in high schools that offered parallel paths in which students were free to study mathematics using 1 of 2 content organizational structures, an integrated approach or a (traditional) subject-specific approach. The study involved 3,258 high school students, enrolled in either Course 2 or Geometry, in 11…

Examines secondary school students' ability to interpret representations of three-dimensional objects including prototypes of component, perspective drawings, orthogonal views, descriptions by coordinates, verbal descriptions, and verbal quasi-descriptions. Students were given four identical wooden cubes and asked to construct the objects. Reports…

Summarizes a reanalysis of the data from an investigation of a test designed to measure a learning sequence in geometry based on the work of van Hiele (1986). Discusses the test based on the Rasch model. (YP)

Explores the relationship between high school students' beliefs about mathematics and their mathematical performance. Reports: (1) the students' attributions of success or failure; (2) perceptions of mathematics; (3) comparative views of school mathematics, English and social studies; (4) motivation; and (5) personal performance. A questionnaire…

Responds to Crowley's and Wilson's articles on the reliability of the van Hiele Geometry Test. Discusses the issue of the difficulty of trying to maximize content validity while minimizing measurement error. (YP)

Reports on a study to determine if female high school students scored as high as male high school students on New York State Regents examinations in mathematics. Results indicated that if female students had an instructional history similar to that of male students they performed as well. (PK)

Provides an alternative analysis of the reliability associated with the van Hiele Geometry Test based on the assumption that the norm-referenced reliability coefficients provided by the developers were inappropriate. Discusses the agreement coefficient and the kappa coefficient. (YP)