The purpose of this paper is to describe (a) multivariable calculus students' meanings for the domain and range of single and multivariable functions and (b) how they generalize their meanings for domain and range from single-variable to multivariable functions. We first describe how students think about domain and range of multivariable functions…

As transfer researchers have begun to investigate a broader range of phenomena, they have correspondingly put forward new processes to provide explanatory accounts for the occurrence of transfer. This move coincides with a call to acknowledge the contribution of social interactions, language, cultural artifacts, and normed practices to the…

An examination of the effects of different types of review questions on the transfer skills of seventh grade math students indicates that relatively difficult review questions can effectively facilitate the retention of these skills. (JD)

This study examined the differential effects of two instructional strategies on the acquisition, maintenance, and generalization of mathematical word problem solving by students with learning disabilities: an explicit schema-based problem solving strategy (SBI) and a traditional general heuristic instructional strategy (TI). Twenty-two middle…

Three learning disabled fourth-grade students who asked few questions in their mainstream class viewed videotaped exemplars of question-asking, received structured opportunities for rehearsing question-asking, and received feedback. The resource room training procedures were effective in increasing the level of question-asking and in improving…

A small-group mathematical problem-solving tutorial treatment with explicit instruction including transfer to novel problems was evaluated with 40 students. On word problems and transfer word problems, tutoring effected reliably stronger growth, although effects on real-world problem solving, while moderate to large, were not statistically…

The problem of skill generalization is addressed with a presentation of a transdisciplinary approach to curricular development and instructional presentation. The use of integrated programming to teach mathematics skills is discussed. Specific examples of integrated programming in mathematics and recommended procedures for developing integrated…