Mathematics teacher education programs in the United States are charged with preparing prospective secondary teachers (PSTs) to teach reasoning and proving across grade levels and mathematical topics. Although most programs require a course on proof, PSTs often perceive it as disconnected from their future classroom practice. Our design research…

Relationships between word knowledge and proverb comprehension was examined in 150 typically achieving adolescents (ages 12, 15, and 18). Word knowledge was associated with proverb comprehension in all groups, particularly in the case of abstract proverbs. Results support a model of proverb comprehension in adolescents that includes bottom-up in…

We comment on the paper "The co-emergence of machine techniques, paper-and-pencil techniques, and theoretical reflection: A study of CAS use in secondary school algebra" by Carolyn Kieran and Paul Drijvers. We look at aspects of Kieran and Drijvers' analysis with regard to "task-technique-theory" in the light of a model of abstraction in context…

Presents a model for teaching reasoning using technology in the contexts of algebra and geometry. (MKR)

Presents a theoretical model that attempts to lessen the fragmentation of skill instruction in social studies. The model uses reasoning as a goal toward which social studies instruction can move. Curriculum implications relative to skill coordination are discussed. (Author/DB)

Discussion of students' prior knowledge and its effect on analogical reasoning focuses on four case studies of high school and college students that were designed to determine factors important for success in overcoming misconceptions via analogical reasoning. Explanatory models are explained, and abstract transfer versus explanatory model…

The ReQuest procedure, designed to teach students to raise questions independently, has many components that lend themselves to solving some of the problems faced by the teacher of juvenile delinquents. (HOD)

Attempts to show that not only can density be taught to lower ability pupils but that by doing so, there is the possibility of assisting pupils to develop their reasoning powers. Lists teaching activities that help in this process. (CW)

Problems were presented to 13 university students in which letters were to be added or subtracted (e.g., B + D = ? or F - ? = D). After each problem, each subject gave a retrospective protocol indicating the way in which the problem was solved. Models of performance by each subject in each experimental session shared major properties; choices by…

Hierarchically organized knowledge about actions has been postulated to explain planning in problem solving. Perdix, a simulation of problem solving in geometry with schematic planning knowledge, is described. Perdix' planning knowledge enables it to augment the problem space it is given by constructing auxiliary lines. The planning system also…

The development of a competency-based teacher certification program of social studies teachers in the state of Minnesota included this conceptual framework for the major social studies disciplines. Each of the major disciplines - anthropology, economics, geography, history, political science, psychology and philosophy, and sociology - are defined…