Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods…

Discards the blinders that have hampered the traditional teaching of calculus and reexamines some of the intuitive ideas that underlie this subject matter. Analyzes the various indeterminate forms that arise through the blind application of algebraic operations. (Author/ASK)

Follows up in more detail a previous interview-based study in which were outlined some features of a mathematicians' views and research practices on what interviewees had to say about the topic of intuition. Concludes that intuition, insight, or instinct was seen by most of the 70 mathematicians interviewed as a necessary component for developing…

Teaching comprehension skills requires teaching to intuition with activities such as presenting puzzling situations to introduce a topic, using art to elicit latent feelings, using imagery and improvisations to enhance visualization, and using music and dance to encourage nonverbal expressions. (DB)

Although facts and figures prepare the volunteer and professional college fundraiser for approaching the potential donor, intuition is more useful for knowing the appropriate moment to make a request. Advice includes not underestimating donor largesse, using creativity, recognizing philanthropists, and appreciating the important roles of both…

Describes a classroom activity featuring a simple stay-switch probability game. Contends that the exercise helps students see the importance of empirically validating beliefs. Includes full instructions for conducting and discussing the exercise. (CFR)

Teachers concerned about excessive testing may be depriving themselves of useful information provided by standardized achievement tests and their own exams. Teachers tend to separate testing from teaching. This article explores the relationship among data collection, curriculum planning, and instruction and gauges the impacts of mandated…

Provides perspectives on the process of perceiving another person while interacting with that person. Offers a social interaction approach in contrast to previous approaches that treat the perceiver as a passive information processor. Proposes that each person constructs a significant part of the social reality that one confronts. (ML)

Presents a technique for introducing analysis of variance (ANOVA) at the concrete level of operational thought, enabling students in introductory statistics courses to understand the complex correlations and interactions between variables. Helps students develop an intuitive understanding of the concepts of between- and within-groups variance and…

Originally written near the beginning of the "new math" movement, this article reflects on the role of student discovery, intuition, mathematics as an analytic language, and the problem of student readiness. (MKR)

Examines three world views influencing curriculum development--atomism (underpinning competency-based education), pragmatism (promoting inquiry-based approaches), amd holism (associated with confluent or Waldorf education). Holism embodies the perennial philosophy and attempts to integrate cognitive, affective, and transpersonal dimensions,…

Policy analysis in higher education is distinct from but is informed by and can contribute to both institutional research and institutional planning. Policy analysis extends beyond data analysis, using many qualitative research methods and a degree of intuition, and focuses on specific issues, not systems as does planning. (MSE)

This paper begins with a discussion of the role of communication in the organizational setting in general and in libraries in particular. Four attributes of effective communicators and the responsibility of library managers to foster a communication climate manifesting these attributes are then examined: (1) trust, (2) empathy, (3) openness, and…

This article examines ways in which intuitive understandings may help teachers in developing the thinking of pupils with autism. The article suggests that, by working toward students' development of an autobiographical memory, it may be possible for them to establish an awareness of their own role as a problem solver. (JDD)

An activity in a college statistics class had students go to a field of grass and clover and use a variety of estimation, probability, sampling, distribution, and calculation techniques for determining the number of flowers in the field. The activity focused on the discovery process, encouraged abstract reasoning, and was pleasurable. (MSE)