Many types of learning require the mapping of information across situations. The proposed organizational framework extends the cognitive study of mappings across problems to include mappings across representations, solutions, and sociocultural contexts. I apply one-to-one, one-to-many, and partial mappings to analyze representative cases that…

There is need to reform teacher education programs through the creation of active learning environments that support and improve the depth and scope of student learning. Specifically, teachers should provide intellectually powerful, learner-centered, and technology-rich environments for students without undermining sound pedagogical practices.…

A need has emerged in the curriculum for more teamwork experience, for the development of better communication and critical thinking skills, and for the acquisition of specialized knowledge. A focus on the processes by which problems are solved has served our discipline well and can continue to serve us if in the classroom we make appropriate…

School subjects are analogous to medieval alchemy. There is a magical change as mathematics, science, and social sciences move from their disciplinary spaces into the classroom. The educational and social psychologies have little or nothing to do with understanding disciplinary practices. They are intellectual inventions for normalizing and…

At present, teachers' inservice training assumes an enormous importance in the realization of educational reforms in European countries. This paper describes several descriptive models for teacher training. Then, the development of inservice training is examined according to the "change paradigm" and the "problem-solving…

For change to occur in mathematics instruction, teachers need control of significantly different instructional sequences, evaluation schemes, and curriculum and to think beyond procedural views of mathematics. Two-week inservice and coursework separate from classroom experience are not sufficient to achieve these goals. Inservice and support must…

Noting that thinking processes cannot be separated from educational content, this two-volume collection aims to define the profound changes in educational thought during the 20th century, as well as to present examples of how these changes are embodied in excellent schools and other learning communities. Volume one is divided in three sections.…

Teaching is a complex, ongoing endeavor that involves a myriad of decisions. NCTM's Sixty-Sixth Yearbook is organized around three aspects of teaching: foundations for teaching, the enactment of teaching, and the support of teaching nurtured in preservice education and strengthened throughout a teacher's career. The accompanying professional…