We discuss an emerging program of research on a particular aspect of mathematics learning, students' learning through their own mathematical activity as they engage in particular mathematical tasks. Prior research in mathematics education has characterized learning trajectories of students by specifying a series of conceptual steps through which…

This study tested certain implied predictions regarding conceptual learning at each of four sequential levels of development: concrete level, identity level, classificatory level, and formal level. For this purpose, scaled batteries to assess the level of conceptual development of children, kindergarten through high school, were constructed and a…

This forth annual report covers the activities of the Research and Development Center in Educational Stimulation during the 1968-69 fiscal year. To reflect the Center's new programmatic structure, the description of the Center's objectives and activities is organized as follows: (1) Administrative program; (2) substantive programs, including art,…