An Experiment in Grading Problems in Algebra

1914 ◽  
Vol 6 (3) ◽  
pp. 123-134
Author(s):  
Eugene R. Smith ◽  
Harry D. Gaylord ◽  
Maurice J. Babb ◽  
William E. Breckenridge ◽  
Edward L. Thorndike

Two hundred teachers of mathematics, chiefly members of the New York Section of the Association of Teachers of Mathematics of the Middle States and Maryland, ranked the twentyfive problems printed below for difficulty, “difficulty” being defined as in the instructions appended. The variations in the individual opinions were very great, being as shown in Table I. It is an interesting exercise to examine this table, and imagine, as well as one can, the points of view from which these varying estimates were each plausible-to divine, for example, why Problem Twas rated all the way from easiest to hardest of the twentyfive. How much of the variation was due to tenable points of view and how much was due to errors of judgment cannot, of course, be told until the problem in question has been tested with respect to the percentage of pupils able to solve it in the time allowed.

Author(s):  
Roxana Ciolăneanu

The main objective of this chapter is to look at the concept of marketing from an integrative perspective, arguing for the complexity of the marketing philosophy and practices from linguistic, psychological and social points of view. Revisiting the concept of metaphor as a cognitive instrument will provide new insights into how it is employed and functions in marketing. Looking at the society's evolution and the importance it gives to the individual will contribute to understanding the changes in the way marketing is conceptualized and will help the author formulate some cognitive and linguistic consequences of these changes.


Author(s):  
Thomas Edward MacGrath

One of the questions that many people contemplate in their lifetime is the idea of human nature. In this essay I will seek to examine and compare the idea of human nature in the minds of Christian humanists during the Renaissance to that of late Medieval Christian mystics. The Oration on the Dignity of Man, written by Giovanni Pico della Mirandola (Pico) provides an insight into the mind of a Renaissance humanist, while The Imitation of Christ, written by Thomas à Kempis illustrates the thought process that was characteristic of a late Medieval Christian mystic. Pico believed that humans are a great miracle and it is within their nature and capabilities to become something great in the world, something just below the level of God.[1] à Kempis held the belief that human nature, like the idea found in Genesis, was corrupted by the fall of man in the Garden of Eden. It can be found in his writings that he believed that human nature is something that is detrimental to the individual and should be controlled by calling on the grace of God.[2] The different points of view found in the writing of Pico and à Kempis can be traced to the sources of their inspiration. In writing The Imitation of Christ, à Kempis drew his inspiration only from the Bible. Pico, like many other Renaissance humanists, looked for truth about human nature not only in the Bible but also by studying other classical works such as the ancient Greeks and Arabs. [1] Giovanni Pico della Mirandola, Oration on the Dignity of Man (New York: Cambridge University Press, 2012). [2] Thomas à Kempis, The Imitation of Christ (Chicago: Moody Press, 1958).


2001 ◽  
Vol 209 (2) ◽  
pp. 105-117 ◽  
Author(s):  
Thomas Kleinsorge ◽  
Herbert Heuer ◽  
Volker Schmidtke

Summary. When participants have to shift between four tasks that result from a factorial combination of the task dimensions judgment (numerical vs. spatial) and mapping (compatible vs. incompatible), a characteristic profile of shift costs can be observed that is suggestive of a hierarchical switching mechanism that operates upon a dimensionally ordered task representation, with judgment on the top and the response on the bottom of the task hierarchy ( Kleinsorge & Heuer, 1999 ). This switching mechanism results in unintentional shifts on lower levels of the task hierarchy whenever a shift on a higher level has to be performed, leading to non-shift costs on the lower levels. We investigated whether this profile depends on the way in which the individual task dimensions are cued. When the cues for the task dimensions were exchanged, the basic pattern of shift costs was replicated with only minor modifications. This indicates that the postulated hierarchical switching mechanism operates independently of the specifics of task cueing.


Author(s):  
Beatrice Marovich

‘The art of free society’, A.N. Whitehead declares in his essay on symbolism, is fundamentally dual. It consists of both ‘maintenance of the symbolic code’ and a ‘fearlessness of [its] revision’. This tension, on the surface paradoxical, is what Whitehead believes will prevent social decay, anarchy, or ‘the slow atrophy of a life stifled by useless shadows’. Bearing in mind Whitehead’s own thoughts on the nature of symbolism, this chapter argues that the figure of the creature has been underappreciated in his work as a symbol. It endeavors to examine and contextualize the symbolic potency of creatureliness in Whitehead’s work, with particular attention directed toward the way the creature helps him to both maintain and revise an older symbolic code. In Process and Reality, ‘creature’ serves as Whitehead’s alternate name for the ‘individual fact’ or the ‘actual entity’—including (perhaps scandalously, for his more orthodox readers) the figure of God. What was Whitehead’s strategic motivation for deploying this superfluous title for an already-named category? In this chapter, it is suggested that his motivation was primarily poetic (Whitehead held the British romantic tradition in some reverence) and so, in this sense, always and already aware of its rich symbolic potency.


2020 ◽  
Vol 8 (1) ◽  
pp. 37-46
Author(s):  
Stanislava Varadinova

The attention sustainability and its impact of social status in the class are current issues concerning the field of education are the reasons for delay in assimilating the learning material and early school dropout. Behind both of those problems stand psychological causes such as low attention sustainability, poor communication skills and lack of positive environment. The presented article aims to prove that sustainability of attention directly influences the social status of students in the class, and hence their overall development and the way they feel in the group. Making efforts to increase students’ attention sustainability could lead to an increase in the social status of the student and hence the creation of a favorable and positive environment for the overall development of the individual.


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