Preservice teachers' written case analyses were examined to determine how students reasoned about four dilemmas. Examination of the analyses suggested that the developmental nature of learning to teach was reflected in students' analyses of events embedded in cases. The case method provided opportunities to further encourage development of…

Asserts that technology and telecommunications have become integral parts of daily life. Discusses three roles that technology plays in improving the problem-solving process. Contends that students must learn to select from a variety of information sources. (CFR)

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)

The application of middle school and high school curriculum-based management (CBM) to critical thinking in content areas is discussed. The article outlines essential features of critical thinking assessments, development of CBM problem-solving prompts, and examples of scoring systems. An example involving a student with learning disabilities is…

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 a study to examine secondary school students' (n=200) responses to two figurally and spatially similar problems from mathematics and science that require different responses before and after instruction. Results indicated that most students gave the same response to both questions. Reasons for this pattern are discussed. (MDH)

Discusses how children's literature can be used as a context to develop problem-solving tasks. Illustrates this idea by developing tasks to teach concepts related to multiplication through the context of "The Patchwork Quilt," a children's book by Valerie Flournoy. Suggests activity extensions to determine unit sizes, draw scale models,…

Presents the reactions of a mathematics educator and a mathematician to a seven-year-old student's response for finding square numbers. Reflects on the mathematician's focus on the mathematics of the problem and the mathematics educator's focus on the student's systematic way of working, and discusses the common focus of student creativity. (MDH)

Presents five activities focusing on mental computation and estimation for the K-3, 3-5, 4-6, and 6-8 grade levels that require the student, acting as a judge, to review solutions to problems and to pronounce and justify a verdict. Provides suggested materials, questions, possible extensions, answers, and worksheets for each activity. (MDH)

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,…

Presents a series of five activities that introduce division of fractions through real-world situations. Discusses problems related to resurfacing a highway, painting dividing stripes on a highway, covering one area A with another area B, looking for patterns, and maximizing the result of a division problem. Includes reproducible worksheets. (MDH)

Presents an account of the historical evolution of the definition of variable and the way the concept is currently treated in textbooks. Shares activities to promote student discussion on the use of variables as constants, as quantities that vary, and as parameters. Provides a reproducible worksheet. (MDH)

Abstracts of reports of eight research studies on computer uses in children's education are presented. Topics covered include (1) LOGO computer language; (2) computer graphics for art instruction; (3) animation; (4) problem solving; (5) children's use of symbols; (6) an evaluation of a Chapter 1 program involving children's computer use; (7) peer…