| 1. | "
In the section on mathematics appreciation courses in the report
Reshaping College Mathematics (Steen, 1989) three points of emphasis
were made that assisted with the course development:
* "The necessity of doing mathematics to..."
| Source: | Lubinski, Cheryl A.,Otto, Albert D. "Preparing K-8 preservice teachers in a content course for standards-based mathematics pedagogy" School Science and Mathematics 104.7 Nov. 1 2004: 336-351
 |
|
| 2. | "... of
communication in mathematics and the unique communication issues
pertaining to young children, and the necessity of offering appropriate
support for parents of young children."
| Source: | Kline, Kate. "Early Childhood Teachers Discuss the Standards" Teaching Children Mathematics 6.9 May 1 2000: 568
|
|
| 3. | "
In Plato we find a yawning abyss between a truth arrived at through the
apodictic necessity of the dialectic and of mathematical..."
| Source: | Cai, Zong-qi. "IN QUEST OF HARMONY: PLATO AND CONFUCIUS ON POETRY" Philosophy East and West 49.3 July 1 1999: 317
|
|
| 4. | "... like "necessity is the mother of
invention" are itstory (recall the feminist contention that
"history" has always been written from "his"
perspective, so untold numbers of female scientists and mathematicians
of yore were excluded)."
| Source: | . "If English were sexist" Washington Times Sept. 12 1999: 5
|
|
| 5. | "... (15) Spline functions are also sometimes referred to as piece-wise
linear regression and `are a device for approximating the shape of a
curvilinear stochastic function without the necessity of prespecifying
the mathematical form of the functions."
| Source: | DI MATTEO, LIVIO. "Using alternative methods to estimate the determinants of cross-border trips" Applied Economics 31.1 Jan. 1 1999: 77-78
|
|
| 6. | " Indeed, one of the main aims of the novel is
to depict mathematics as both an empirical and an
aesthetic-philosophical pursuit, given that its "combination of
external simplicity and notorious difficulty pointed of necessity to a
profound truth"."
| Source: | HOPKIN, JAMES. "Maths mad" New Statesman (1996) 129.4477 Mar. 13 2000: 56
|
|
| 7. | "
I am a mathematician, and I am keenly interested in the notion of
dimension throughout mathematics, not just two-dimensional planar
objects or three-dimensional solid shapes but objects in higher
dimensions, the fourth and beyond."
| Source: | Banchoff, Thomas F. "The Mathematician as a Child and Children as Mathematicians" Teaching Children Mathematics 6.6 Feb. 1 2000: 350
|
|
| 8. | " Opportunities to manipulate objects, illustrate
mathematical thinking, and use the language of mathematics in oral and
written form should be integral parts of the daily activities in an
elementary mathematics classroom."
| Source: | Moyer, Patricia Seray. "A Remainder of One: Exploring Partitive Division" Teaching Children Mathematics 6.8 Apr. 1 2000: 517
|
|
| 9. | " A social animal could be a creature driven by
instinctual necessities, only with speech and calculating reason added
to the teeth, claws, fur, and other attributes animals may employ to
obtain the objects of their natural desires."
| Source: | Merrill, Clark A. "Leo Strauss's Indictment of Christain Philosophy" Review of Politics 62.1 Jan. 1 2000: 77
|
|
| 10. | "
The teacher-clinician helped change Darryl's beliefs about
mathematics through a number of strategies, including planning football
parties using newspaper circulars, introducing manipulative materials,
treating the calculator as a casual and useful tool rather than as a
forbidden object, and playing mathematics games."
| Source: | Kaplan, Rochelle G.,King, Bonnie,Dickens, Nancy,Stanley, Viola. "Teacher-Clinicians Encourage Children to Think as Mathematicians" Teaching Children Mathematics 6.6 Feb. 1 2000: 406
|
|
| 11. | "
In the 1950s, Japanese mathematician Yutaka Taniyama proposed that every
rational elliptic curve is a disguised version of a complicated,
impossible-to-visualize mathematical object called a modular form."
| Source: | . "Curving beyond Fermat's last theorem" Science News 156.14 Oct. 2 1999: 221
|
|
| 12. | "... "generalized science of body";
second, mathematics had to express in its principles "the causes by
which mathematical objects are generated" (249)."
| Source: | PIERSON, STUART. "Squaring the Circle: The War between Hobbes and Wallis" History: Review of New Books 28.3 Mar. 22 2000: 116
|
|
| 13. | "... why we suppose necessity and power to lie in the objects we
consider, not in our mind, that considers them...."(13) As a
result, moreover, the concept of necessary obligation or absolute moral
law, cognizable by reason, all but vanishes."
| Source: | MILNES, TIM. "Seeing in the Dark: Hazlitt's Immanent Idealism" Studies in Romanticism 39.1 Mar. 22 2000: 3
|
|
| 14. | " When a
force is applied to move an object, such as a bulldozer pushing a large
rock, the energy required to do this work is mathematically equal to the
force applied to the object times the distance the object moves."
| Source: | Small, Greg. "The Personal Energy Absorber Equation" Occupational Hazards 62.2 Feb. 1 2000: 16
|
|
| 15. | " For example, background knowledge
could contribute to a process based on overall similarity, by
determining the aspects of an object relevant to a particular
classification (see Medin & Ortony, 1989, and Nosofsky, 1991, for a
specific mathematical framework to formalize such intuitions)."
| Source: | Pothos, Emmanuel M.,Hahn, Ulrike. "So concepts aren't definitions, but do they have necessary or sufficient features?" British Journal of Psychology 91.3 Aug. 1 2000: 439
|
|
| 16. | " Now, Princeton mathematician Jade P. Vinson has proved
that such an object can exist."
| Source: | I.P. "Pursuing punctured polyhedra" Science News 157.25 June 17 2000: 399
|
|
| 17. | "
Traditional mathematical space is best suited for physical objects and
systems."
| Source: | Yen, Vincent C.,Li, Hong Xing. "Concept Representation, Factor Space Theory and Information Systems Research" Systems Research and Behavioral Science 17.2 Mar. 1 2000: 163
|
|
| 18. | " Objects that
encourage playacting, such as plastic soldiers, tend to limit
mathematical learning."
| Source: | Heuser, Daniel. "MATHEMATICS WORKSHOP: Mathematics Class Becomes Learner Centered" Teaching Children Mathematics 6.5 Jan. 1 2000: 288
|
|
| 19. | "
Mathematical computations of the orbits of objects under the
influence of both a planet and the Sun draw on a body of work stretching
back more than 300 years to Isaac Newton."
| Source: | Mac Low, Mordecai-Mark. "The Virtual Universe" Natural History 109.1 Feb. 1 2000: 89
|
|
| 20. | "
Thus, again we see the encouragement of more generalized and
abstract views of mathematical objects within structured computer
programming environments."
| Source: | CLEMENTS, DOUGLAS H. "The Future of Educational Computing Research: The Case of Computer Programming" Information Technology in Childhood Education Annual Jan. 1 1999: 147
|
|
| 21. | "... to poetry and the kind of knowledge we
gain from poetry, or from a specific poem such as "In the Quiet
House." Poems are metaphorical objects, and like mathematical
objects, they reside in a world not bounded by space and time."
| Source: | Mares, E.A. "Singing in the quietness" World Literature Today 78.3-4 Sept. 1 2004: 79-80
|
|
| 22. | " Whereas the objects of mathematical study are ideals (in the
Platonic sense), the objects of QL are data, generally measurements
retrieved from some computer's data warehouse."
| Source: | Steen, Lynn Arthur. "Everything I needed to know about average ... I learned in college" Peer Review 6.4 June 22 2004: 4-9
|
|
| 23. | "... set of objects provided to them, More
recently we have come to understand the importance of discourse in
learning the vocabulary of mathematics."
| Source: | Platz, Donald L. "Challenging young children through simple sorting and classifying: a developmental approach" Education 125.1 Sept. 22 2004: 88-97
|
|
| 24. | " Thus they postulate the existence, behind the long-term
averages empirically emerging from repeated random trials, of formal
mathematical objects (limits, as in ordinary calculus) interpreted as
intrinsic attributes of the system under study."
| Source: | Toffoli, Tommaso. "Honesty in inference" American Scientist 92.2 Mar. 1 2004: 182-186
|
|
| 25. | " The strongest
examples are ideas or mathematical objects such as the idea of justice
or the Pythagorean theorem."
| Source: | Giorgi, Amedeo. "A way to overcome the methodological vicissitudes involved in researching subjectivity" Journal of Phenomenological Psychology 35.1 Mar. 22 2004: 1-26
|
|
back to top