The intuitive simplicity of probability can be deceiving. Described is a dialogue that presents arguments for conflicting solutions to a seemingly simple problem determining the probability of having two boys in a two-child family knowing that one child is a boy. Solutions contain multiple arguments and representations. (MDH)

Great care must be taken when making the jump from the finite to the infinite. The concept of infinity is explored through a series of examples from infinite sequences, presenting potential contradictions that could occur from a natural extension of finding the fraction form of a repeating decimal. (MDH)

Teaching the concept of integration differs depending on which of four perspectives is used to introduce the topic. Presents a method based on the historical development of the use of integration that introduces integral as antiderivative. Discusses examples of differential equations used in the development and ways to connect this to the other…

Discussed is the idea that energy is the cause of change. This idea, going back to early cognitive development, means that the teaching of energy needs to confront how, thermodynamically, people can perform actions. The change in energy caused by differences is emphasized. (KR)

Presents a developmental approach to educating school-age children about acquired immunodeficiency syndrome/human immunodeficiency virus (AIDS/HIV). The paper describes, for three age groups, general characteristics of children's thought processes, ways in which they assimilate information about aspects of AIDS, and implications for educating…

Applies the Lesh Translation Model to develop conceptual understanding by showing relationships between five modes of representation proposed by Lesh to learn multiplication of fractions. Presents five teaching activities based on the translation model. (MDH)

Focuses on the enhancement of chemistry students' skill in problem solving utilizing problem categorization techniques. Indicates that explicit training in categorization skills can lead to higher achievement in complex problem-solving situations but that such achievement may be limited by the lack of linkages between students' conceptual…

Presents two cognitive models that illustrate the commonalities between reading for meaning and solving mathematical problems with meaning. Discusses the importance of number sense in the prior knowledge component of the solving with meaning model and the implications of the models in teaching mathematics. (MDH)

The second in a series of three articles, some themes of an undercurrent of educational objectives that move beyond the evident content goals are outlined. The themes relate the computer software materials analyzed in Part I to the cognitive experiences that students should have in learning about subject matter. (MDH)

A framework for examining racism in higher education is outlined. It distinguishes several stages of racist attitude: affective-impulsive, dualistic rational, libertarian, principled, and principled-activist. These stages of cognitive development are suggested as a model for planning intervention strategies. Some specific strategies are described.…

Examines how allowing children to make choices can affect the quality of thinking in the school environment. Discusses teacher's role in creating a learning environment in which an exchange of viewpoints is encouraged, one that allows children to make and defend their own intellectual decisions. Offers several examples of classroom choices that…

Forty-eight low socioeconomic status Israeli women were trained to optimize their infants' development through mediational strategies including increase in frequency of focusing, affecting, expanding, encouraging, and regulating behaviors. At three-year follow-up, maternal mediation behaviors were found to be related to specific children's…

A multifaceted model to promote peer play was implemented with play groups including 3 children (ages 6-8) with autism, resulting in decreased isolate play and collateral gains in social play, and decreased stereotyped object play and collateral gains in functional object play. Advances in play behaviors were generalized and were accompanied by…

Examined whether adolescents of authoritative parents exhibit a greater preference for postconventional moral reasoning than do adolescents of permissive or authoritarian parents. Subjects (75 high school and 67 undergraduate students) completed Rest's Defining Issues Test and Schaefer's Child Report of Parental Behavior Inventory. Results…

Discusses research on the process of introducing telecommunication technology in K-12 classrooms. To ensure parent and teacher involvement in Internet-based collaborative learning projects, a participatory design approach is examined that allows teachers to monitor and influence project design. This approach is selected because of its…