Proposes a teaching model to teach mathematics represented as a triad of three components: (1) management of learning; (2) mathematical challenge; and (3) sensitivity to students. Describes the three components and relates them to a constructivist perspective of learning. (MDH)

Presented is an activity where students determine the multiplication tables of groups of small order. How this can be used to help develop an understanding of the concept of group isomorphism is explained. (KR)

Two potentially exciting elements are missing from the traditional case study analysis approach: opportunity for creative expression and clear focus on a contingency viewpoint in dealing with managerial problems. Computer-assisted scenario analysis emphasizes creative self-expression, a contingency viewpoint, and refinement of word-processing…

Provides a list of 33 problem-solving steps extracted from physics textbooks and arranged within the following 3 categories: setup, solution, and checks. (MDH)

Two ways to visually enhance the concept of space curvature are described. Viewing space curvature as a meterstick contraction and the heavy banana "paradox" are discussed. The meterstick contraction is mathematically explained. (KR)

A quantitative application of magnetic braking performed with an air track is described. The experimental measurement of the position of the glider as a function of time is calculated. (KR)

Clarifies the meaning of writing across the curriculum and writing to learn mathematics, and describes formal and informal approaches for incorporating writing into the mathematics classroom. Concludes that writing in mathematics can identify math anxious students and help discover students' misconceptions. (11 references) (MDH)

The teaching and learning potential of interactive video (IV) are explored. Some of the programs currently in use are described. The use of IV for simulations, practical work, problem solving, and presentational skills are discussed. (KR)

This article addresses the potential and the challenges of scaffolded instruction within the context of an exploratory study of the implementation of mediated collaborative problem solving. Implementation of the model for self-regulation with students experiencing reading difficulties is described, with suggestions for making scaffolded…

This paper describes how secondary teachers can use the Purdue Three-Stage Model as a framework for instruction that facilitates talent development in both heterogenous and homogenous classrooms. In the first two stages, students master the core content of a discipline and practice thinking creatively and critically about the content. In the third…

Describes three approaches teachers can use to help students understand the computation of numbers: calculator explorations, problem solving, and discussion topics. Specific examples are provided for primary and upper grades. (MDM)

Reports on research on parental teaching strategies with children aged three and four years. Findings support Dweck and Elliott's view that adults who are process oriented rather than product oriented act more as resources than as judges; focus children on learning rather than outcome; and respond to errors as natural and useful rather than as…

An example of how a traditional activity on motion and acceleration can be adapted to the learning-cycle format is described. The three challenge statements given to students to solve are provided. The key learning-cycle steps of exploration, expansion, and extension are discussed. (KR)

Student questioning within the Search, Solve, Create, and Share (SSCS) problem solving instructional model was investigated. The results suggest that the SSCS problem-solving instructional model increases student questioning in the presence of the teacher (n=22) when compared to a teacher-directed laboratory instructional model. The implications…

Another way to add and subtract, in which the mental regrouping strategy is applied to an original 10-structure, is presented. Pupils use a visual model, called "little person," to move from counting to visualization. Originally designed for use with pupils with learning disabilities, this method has wider applicability. (KR)