The philosophy of the classical American pragmatism represents one of the basic challenges to the conception of self and reason in the history of philosophical and psychological thinking. As the founder of pragmatism, Peirce is well known for his attempt to overcome the Cartesian tradition of philosophy, which was founded on the paradigm of…

In order to get undergraduates interested in mathematics, it is essential to involve them in its "discovery". In this paper, we will explain how technology and the knowledge of lower dimensional calculus can be used to help them develop intuition leading to their discovering the first derivative rule in multivariable calculus. (Contains 7 figures.)

Students need to have basic understanding of scientific method during their introductory science classes and for this purpose an activity was devised which involved a game based on famous Monty Hall game problem. This particular activity allowed students to banish or confirm their intuition based on empirical evidence.

Intuition usually is defined as the capability to act or decide appropriately without deliberately and consciously balancing alternatives, without following a certain rule or routine, and possibly without awareness (Gigerenzer, 2007; Hogarth, 2001; Klein, 2003; Myers, 2002). It allows action which is quick (e.g. reaction to a challenging…

"Teaching Kids to Change the World: Lessons to Inspire Social Responsibility for Grades 6-12," by Jennifer Griffin-Wiesner and Chris Maser, is a practical guide that provides educators with the essential tools to inspire young people to change the world for the better. Focusing on eight principles of change, it includes lessons, examples and…

Two studies were conducted to show connections between giftedness and intuition. The first study was exploratory. A sample of 194 gifted adolescent students (N=194) included fifty-five students identified as gifted by their teachers and fifty-six percent who were female. Using the Polish version of the Myers Briggs Type Indicator, the students…

Describes imagination as the cognitive faculty that mediates a person's relationship with God. Discusses imagination's integrative function and its realm of pure possibility which facilitates openness to God. States that only through imagination grounded in God's spirit can humankind hope to perceive, with increasing degrees of clarity, God's…

To support the statement that intuitive process is as important as the scientific, two axioms are explored by the violinist: no phenomenon discovered or created by science is possible unless its equivalent has already existed in nature; and the basic revelations of science can be formulated by intuition through meditation. (Author/KM)

Argues that discoveries concerning the essential properties of whole categories of word concepts are critical to essentialist intuitions. Reviews studies demonstrating that words and concepts are not used in accordance with essentialism, concluding that since essentialism is not vindicated by ordinary word use, it fails to undermine the cognitive…

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…

Prior research indicates that young children are promiscuously teleological, attributing purpose not only to artifacts, but also to living and non-living natural entities. This study further examines the role of function in children's reasoning about different object kinds by indirectly probing children's intuitions about what types of entities…

An intuitive derivation of Stirling's formula is presented, together with a modification that greatly improves its accuracy. The derivation is based on the closed form evaluation of the gamma function at an integer plus one-half. The modification is easily implemented on a hand-held calculator and often triples the number of significant digits…

This article examines how numerical intuition for prices develops after a major change in currency. University students in Portugal (Study 1) and Austria (Study 2) made price estimates for 40 different items from November 2001 to June 2002, surrounding the time at which these countries switched to the euro. Overall results are more in accordance…

This paper presents a cross-cultural study on the intuitive rules theory. The study was conducted in Australia (with aboriginal children) in Taiwan and in Israel. Our findings indicate that Taiwanese and Australian Aboriginal students, much like Israeli ones, provided incorrect responses, most of which were in line with the intuitive rules. Also,…