Describes the application of the problem method, or case study approach, to teach undergraduate research methods. Maintains that the approach is particularly applicable because research design is a classic ill-defined task. Reports that students find the method challenging and interesting. (CFR)

Presents the science demonstration assessment as an authentic- assessment technique to assess whether students understand basic science concepts and can use them to solve problems. Uses rubrics to prepare students for the assessment and to assign final grades. Provides examples of science demonstration assessments and the scoring of rubrics in the…

Presented are assessment techniques to help improve instruction. Included are the formative assessment techniques observation and questioning, diagnostic interviews, and problem-solving-based investigations and the summative assessment technique of performance-based tasks. Examples of these methods are provided together with at-home activities…

Teacher's abilities to remain sufficiently faithful to predefined learning scenarios are examined via case studies. The behavior of 2 teachers during problem-solving sessions in geometry with 13-14 year olds exhibited 2 types of factors that tend to hamper scenario reproducibility: constraints on the teacher resulting from the teaching situation;…

Reports case studies using personal construct psychology and the logic of fuzzy sets to elucidate the content and organization of two elementary school teachers' knowledge of fractions and mathematical pedagogy. Results identified four personal constructions that affected classroom events; knowledge of fractions, general pedagogical knowledge,…

Demonstrates the value of the case-method approach in physical education pedagogy classes for preservice physical education teachers; presents a sample case in a middle school and outlines the accompanying questions. Holds that the case-method approach can bridge the gap between theory and practice through class discussion. (SM)

Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…

Discussed is the process of translating situations involving changing quantities into mathematical relationships. This process, called dynamical modeling, allows students to learn new mathematics while sharpening their algebraic skills. A description of dynamical systems, problem-solving methods, a graphical analysis, and available classroom…

Suggests that defining critical thinking as assessing authenticity, accuracy, and worth of knowledge claims and arguments also describes the historian's role. Recommends teaching students history in such a way as to necessitate higher level thinking skills. Argues that the writing process helps because it requires evaluation of existing data and…

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

Examples from related case studies illustrate possible consequences of a social constructivist approach to learning and teaching mathematics. Discusses student tasks that promote flexibility in mathematizing subject matter; constructive versus Euclidean geometry approaches; working with real-life mathematics problems; and product versus process…

Discusses how children's books can engage students in communicating mathematical ideas. Describes situations in which teachers use literature as a stimulus for thinking, listening, writing, speaking, and reading about mathematics. (12 references) (MDH)

A unit in a college course on technology and human values involves the students' questioning of traditional Western values as they relate to technological rationalism, calling dominant ideology into question. The approach is based on Paulo Freire's problem-posing pedagogy, and incorporates analysis of selected paintings from the Futurist movement.…

Describes a teaching activity consisting of a problem-solving story about a company in a small town that is burying hazardous material which may create future problems for the community. The activity challenges students to address ethical issues relative to responsibility and accountability for protection of the water supply. (PR)

Explains how teachers applied the case method approach in a college pedagogy class, describing the case and context, noting how problem solving evolved within student groups and presenting results from follow-up surveys. Numbers of students in class and time devoted to problem solving were critical to the approach. (SM)