| 1. | " It was a multiple-choice exam emphasizing word
recognition (as is the test's verbal section today; the math
section measures students' ability to reason mathematically and
requires knowledge of basic arithmetic, geometry and algebra)."
| Source: | Toch, Thomas. "THE BIG TEST: The Secret History of the AmericanMeritocracy" Washington Monthly 31.12 Dec. 1 1999: 44
 |
|
| 2. | " Arithmetic
tends to dominate all mathematics instruction and, although indisputably
important, the literature offers little justification for this
arithmetic dominance at the expense of geometry (Pickreign, 1993)."
| Source: | Pickreign, Jamar,Capps, Lelon R. "Alignment of Elementary Geometry Curriculum With Current Standards" School Science and Mathematics 100.5 May 1 2000: 243
|
|
| 3. | "... grades 4-6. The activities have at least two levels of
difficulty and cover a wide range of mathematical ideas from arithmetic,
geometry and probability."
| Source: | McDonald, Jacqueline. "Math Arena, 1999" School Science and Mathematics 100.4 Apr. 1 2000: 222
|
|
| 4. | " One of the perennial quests of
philosophy has been to extend the certainty of the a priori beyond the
bounds of mathematics."
| Source: | Skidelsky, Edward. "Knowing too much" New Statesman (1996) 129.4499 Aug. 14 2000: 39
|
|
| 5. | "... some biblical texts describe arithmetic
calculations; does it make sense to ask whether their authors believed
that mathematical equations are analytic truths?) (2) Jewish law
self-consciously combines elements of divine revelation with creative
human interpretation."
| Source: | Lerner, Berel Dov. "Divine Command Ethics: Jewish and Christian Perspectives" Religious Studies 40.3 Sept. 1 2004: 382-387
|
|
| 6. | "
Euclidian geometry as truth was an underpinning of mathematics
until the nineteenth century, when mathematicians found that it was
based on a flawed axiom."
| Source: | Gualtieri, Devlin M. "Proof and truth in mathematics" Phi Kappa Phi Forum 83.4 Sept. 22 2003: 6-8
|
|
| 7. | " Current interest in colour algebras
(Hubey, 1997; Sokolov, 1997), and Thompson's enchantment with
colour space geometry, can be directly traced back to Descartes'
idea that truth in vision is to see chromatic form in mathematical
terms."
| Source: | Saunders, Barbara. "Colour Vision. A Study of Cognitive Science and the Philosophy ofPerception" British Journal of Psychology 89.4 Nov. 1 1998: 697-705
|
|
| 8. | " Although he admired the great
Italian architects of the past who looked for universal harmonic
systems, Scarpa himself did not seek the certainties of symmetry,
prescribed placement and mathematical truth."
| Source: | GIOVANNINI, JOSEPH. "History's Architect" Art in America 87.10 Oct. 1 1999: 148
|
|
| 9. | " It suggested,
for example, that students should have a working knowledge of arithmetic
and mathematics along with an understanding of how percentages are
calculated."
| Source: | Geimann, Steve. "A grade for the graduates" Quill 88.7 Aug. 1 2000: 38
|
|
| 10. | "
Steffe (1994) says, "Children, when faced with their first
arithmetical problems, use their current mathematical schemes to attempt
to solve them" (p. 3) and" 'knowledge'..."
| Source: | Caliandro, Christine Koller. "Children's Inventions for Multidigit Multiplication and Division" Teaching Children Mathematics 6.6 Feb. 1 2000: 420
|
|
| 11. | "... truthfulness; a sharp eye that grasps things
quickly and cuts down the time of observation; circumspection, patience;
the desire to see, to enlighten himself and to instruct, knowledge of
mathematics, m echanics, geometry, astronomy; and an adequate
acquaintance with natural history" (457-58)."
| Source: | Davis, Colin. "Backward, Forward, Homeward: Encounters in Ithaca with Kant and Diderot" Eighteenth Century: Theory and Interpretation 40.3 Sept. 22 1999: 219-233
|
|
| 12. | "... Condorcet demanded of Pascal. (5) All those who had denied
the certainty of human knowledge were correct in maintaining that the
moral and physical sciences could never yield the certainty of
mathematics, he acknowledged."
| Source: | Baker, Keith Michael. "On Condorcet's "Sketch"" Daedalus 133.3 June 22 2004: 56-65
|
|
| 13. | "
Ninety articles taken from the Arithmetic Teacher, Teaching
Children Mathematics, Mathematics Teaching in the Middle School, and
Mathematics Teacher, all assembled in one easy-access volume."
| Source: | . "Activities for Junior High School and Middle School Mathematics,Volume 2" Teaching Children Mathematics 6.4 Dec. 1 1999: 273
|
|
| 14. | "... Ninety articles taken from the Arithmetic Teacher, Teaching
Children Mathematics, Mathematics Teaching in the Middle School, and
Mathematics Teacher, all assembled in one easy-access volume."
| Source: | . "8 New Ways To Make Math Teaching--and Learning--MoreEnriching!" Teaching Children Mathematics 6.5 Jan. 1 2000: 286
|
|
| 15. | "
Compiled by Kenneth E. Easterday, F. Morgan Simpson, and Tommy
Smith
Ninety articles taken from the Arithmetic Teacher, Teaching
Children Mathematics, Mathematics Teaching in the Middle School, and
Mathematics Teacher, all assembled in one easy-access volume."
| Source: | . "Activities for Junior High School and Middle School Mathematics,Volume 2" Teaching Children Mathematics 6.6 Feb. 1 2000: 429
|
|
| 16. | " Finally, the activities that they like most to do in class
were drawing, playing with computers, writing projects and stories,
mathematics activities (arithmetic..."
| Source: | Fleith, Denise de Souza. "Teacher and Student Perceptions of Creativity in the Classroom Environment" Roeper Review 22.3 Apr. 1 2000: 148
|
|
| 17. | " Such
examples indicate the complicated interaction between meaning and
arithmetic or mathematics (i.e. mathsemantics!) which arises in
percentage ideas as soon as we go beyond the merely mechanical level."
| Source: | GOUGH, JOHN. "REVIEW OF MATHSEMANTICS" ETC.: A Review of General Semantics 57.2 June 22 2000: 174
|
|
| 18. | "... ****BOX
MATHEMATICS FOR MUGABE
The arithmetic of advantage in Zimbabwe's parliamentary
election:
Zimbabwe's unicameral parliament is made up of 150 seats, of
which 120 are elected."
| Source: | Herbert, Ross. "Zimbabwe opposition makes strong showing in elections" Washington Times June 27 2000: 1
|
|
| 19. | " Whether US students are subjected to a
reform-based mathematics curriculum or one that is more
arithmetic-latent, their curriculum affords them numerous opportunities
to use calculators during instruction."
| Source: | Tarr, James E.,Uekawa, Kazuaki,Mittag, Kathleen Cage,Lennex, Lesia. "A Comparison of Calculator Use in Eighth-Grade Mathematics Classrooms in the United States, Japan, and Portugal: Results From the Third International Mathematics and Science Study" School Science and Mathematics 100.3 Mar. 1 2000: 139 |
|
| 20. | " In his guidelines for
designing a developmental program, Adolphus (1979), suggested that the
"mathematics skills classes [may] range from basic arithmetic
operations through algebra to pre-calculus" (p. 17)."
| Source: | KULL, KEITH R. "A RESEARCH BASED MODEL FOR A DEVELOPMENTAL EDUCATION PROGRAM AND ITS MATHEMATICS COMPONENT" Education 120.3 Mar. 22 2000: 442
|
|
| 21. | "... (January 1990): 29-63.
Lappan, Glenda. "What Do We Have and Where Do We Go from
Here?" Arithmetic Teacher 40 (May 1993): 524-26.
National Council of Teachers of Mathematics (NCTM)."
| Source: | Steele, Diana F. "Enthusiastic Voices from YOUNG MATHEMATICIANS" Teaching Children Mathematics 6.7 Mar. 1 2000: 464
|
|
| 22. | "... (January 1990): 29-63.
Lappan, Glenda. "What Do We Have and Where Do We Go from
Here?" Arithmetic Teacher 40 (May 1993): 524-26.
National Council of Teachers of Mathematics (NCTM)."
| Source: | Steele, Diana F. "Enthusiastic Voices from YOUNG MATHEMATICIANS" Teaching Children Mathematics 6.7 Mar. 1 2000: 464
|
|
| 23. | "
Solving and Posing Problems
Progress in Arithmetic was the title of the mathematics textbook
series that I used at Blessed Sacrament School in Trenton, New Jersey."
| Source: | Banchoff, Thomas F. "The Mathematician as a Child and Children as Mathematicians" Teaching Children Mathematics 6.6 Feb. 1 2000: 350
|
|
| 24. | " The lesson presented here links many of
the NCTM's Standards, such as number theory, reasoning, patterns,
arithmetic operations, critical thinking, mathematical connections, and
communication (NCTM 1989)."
| Source: | Bonsangue, Martin V.,Gannon, Gerald E.,Watson, Karen L. "The Wonderful World of Digital Sum" Teaching Children Mathematics 6.5 Jan. 1 2000: 310
|
|
| 25. | " Sample articles deal with the differences in arithmetic
nomenclature, the learning of mathematics through Asian folk tales,
using Asian-Pacific solving, and more, 8 1/2" x 11", 1999.96
pp. ISBN 0-873532-475-1, #693A2, $16.95 [*]
(*.) 20% off to NCTM individual members.
"
| Source: | . "Changing the Faces Mathematics: Perspectives on Asian Americansand Pacific Islanders" Teaching Children Mathematics 6.9 May 1 2000: 89
|
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