The apprenticeship model can be adapted to teaching and learning cognitive skills in reading, writing, and mathematics, as illustrated by three successful examples. A cognitive apprenticeship framework is presented for the design of learning environments incorporating content taught, pedagogical methods, sequencing of learning activities, and…

This article uses a cognitive problem-solving model to explore the application of hypermedia authoring software to mathematics in general and to mathematical problem solving in particular. Hypermedia is presented as a method of exploring alternative solution processes to remediate or prevent learning problems. (JDD)

Describes the development of a college mathematics course for liberal arts majors designed to engage students in the mathematical process of making conjectures, testing those conjectures, and communicating the results. Presents six specific learning objectives for the course. (MDH)

Presents two activities that utilize problem solving to promote concept development. The first uses a treasure hunt to teach locus of points. The second uses a tug-of-war model to teach mixture problems involving ratios. (MDH)

Proposes methods to teach the more difficult concepts of linear algebra. Examines features of the Linear Algebra Curriculum Study Group Core Syllabus, and presents problems from the core syllabus that utilize the mathematical process skills of making conjectures, proving the results, and communicating the results to colleagues. Presents five…

A dialogical model is proposed for connecting theory to practice in teacher education by conceiving of cases from case-based pedagogy as problems that initiate shared inquiry. Cases with genuine cognitive and axiological content can initiate self-directed, student-centered inquiry while building democratic dialogical communities. (SLD)

Children with autism have special characteristics (such as communication problems, lack of common sense, and resistance to change) that present a challenge in gaining access to Great Britain's National Curriculum. Possible problem-solving approaches include creating a thinking environment, teaching cognitive strategies, and developing…

Maintains that small-group games increase student time on task over whole-class games. Provides guidelines for designing small-group games as well as large-group games. Points out that games provide leadership opportunities, review material presented in class, and develop cognitive and social skills. Provides a list of teaching resources for using…

Presented are classroom-tested examples of instructional materials (courseware) for ordinary differential equations using the software package PHASER. All of the examples include in-class demonstration techniques and commentaries for instructor use, student homework and laboratory exercises, and suggestions for in-class examination questions. (JJK)

Illustrated are five classroom projects about the relationship between weight and size in animals. Background information and procedures are provided. Ten extension activities are suggested. (CW)

Describes an innovative approach used to help high school students develop critical thinking and real-world problem-solving skills while learning about indoor air quality. (Contains 13 references.) (Author/WRM)

The effects of problem solving and peer collaboration as two instructional methods advocated by the National Council of Teachers of Mathematics (NCTM) were evaluated for enhancing mathematics achievement, motivation, and self-concept of 104 low- achieving third and fourth graders. There were significant positive effects for both approaches, as…

Investigated middle school students' computer tool use in managing and manipulating Internet-based hypermedia resources, hypothesizing that tools would let students process hypermedia resources at higher levels to solve complex, open-ended questions. Tools alone did not help students manage hypermedia information for solving these problems.…

Gifted elementary students need exposure to advanced concepts and materials without being segregated from classmates. Educators should avoid labeling students as gifted; assign independent projects, real-world problems, and high-quality literature; promote guided exploration and self-discovery; consider alternative settings; and find suitable…

Foreign language instruction is known to develop better critical thinking skills in children. Therefore, the teaching of foreign languages should be promoted so that "all" students may attain better creative, divergent, critical, and analytical thinking skills. Research done in past years on cooperative learning models has consistently shown that…