Communication of Mathematical Structure and Its Relationship to Achievement
The communication of a mathematical structure from curriculum developers to five teachers and then to six classes of high school students (n=109) was investigated. The content structure of the instructional material and the cognitive structure of the curriculum developers, teachers, and students were examined using Johnson's hierarchical clustering (HICLUS) program. A high degree of correspondence among the cognitive structure of the curriculum developers, the content structure, and the teachers' cognitive structures and between the cognitive structure of a class and that of its particular teacher was indicated. The material was effective, and clear distinctions of cognitive structure existed between high- and low-achievement student groups