This article is concerned with the learning of mathematics before the commencement of formal schooling. Describes the experiences of two students from four main sets of data: formal and informal measures of mathematics achievement, the learning environment in the home, and observations during teacher-led sessions concerned with mathematical…

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…

Proposes three types of supplementary problems to develop students' skill in interpretation of graphically represented data. Eleven examples are presented and solved for the following types of problems: comparison of one quantity to another, comparison of two quantities that each depend on a common parameter, and reasonable data prediction. (MDH)

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…

Two studies to determine how students interact with two microworlds that reflect a constructivist view of learning investigated students' goals during interaction, strategies utilized to achieve their goals, changes in goals during interaction, and common patterns of interaction and learning. Concludes that well-designed games enable students to…

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)

Discusses results of an action research study of second-grade students' group work which indicated that, when students were not given sample solutions for problems, they were more likely to use higher order thinking, take ownership of strategies, discuss solutions longer, and be more accepting of other views. (MKR)

Five case studies illustrate the value of strategic communications in school and college public relations (PR). Central issues include public scrutiny of a controversial faculty hiring policy; internal communication during retrenchment; a local education/job fair; animal rights activism; and winning public approval for a long-range campus plan.…

Explores the prospects and implications of university-based conflict-resolution (CR) efforts. The author makes a case for the proactive as well as the responsive nature of CR efforts in urban areas and asserts that intended and unintended social changes can result from university CR programs. University-based CR programs have effects on the…

The assumption that learners are the best judges of learning needs in computer-assisted instruction was tested by assigning 55 eleventh graders to learner-control or program-control conditions. Results indicate that efficiency of the learner-control strategy cannot be taken for granted and emphasize the importance of prior knowledge. (SLD)

Fifteen learning-disabled (LD), 33 attention disordered (AD), and 28 normal adolescents were assessed with 2 performance measures and 3 behavioral measures while working on mathematics problems. Findings support theoretical predictions that LD and AD children have difficulty with repetitive stimuli, contributing to mathematics deficits. (SLD)

Examinees in a regular administration of the quantitative portion of the Graduate Record Examination responded to particular items in a machine-scannable multiple-choice format. Volunteers (n=364) used a computer to answer open-ended counterparts of these items. Scores for both formats demonstrated similar correlational patterns. (SLD)

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…