| 1. | "
Although the material requires only an elementary mathematics
background, the problems are appropriate for middle school, where the
students could use algebraic concepts instead of just arithmetic
reasoning to solve the problems."
| Source: | Becher, Paul G. "Computer Materials" Teaching Children Mathematics 6.1 Sept. 1 1999: 60
 |
|
| 2. | " On any intuitive
taxonomy of properties, there are all kinds of primitive properties
apart from primitive mental properties and primitive physical
properties: modal properties, mathematical properties (including
arithmetical, geometrical and algebraic properties), abstract properties
(that is, properties of..."
| Source: | Oppy, Graham. "Swinburne on 'mental' and 'physical.'" Religious Studies 34.4 Dec. 1 1998: 483-484
|
|
| 3. | " The notation in Arithmetica
helped move algebraic notation from rhetorical to syncopated, as well as
influencing the evolution of some individual symbols (Eves, 1983)."
| Source: | Stallings, Lynn. "A Brief History of Algebraic Notation" School Science and Mathematics 100.5 May 1 2000: 230
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| 4. | "
4. Instructors emphasize the quantitative reasoning approach as
described by Thompson and Thompson (1995) and Thompson, Philipp,
Thompson, and Boyd (1994), which focuses on providing explanations for
the quantities (both arithmetic and algebraic) found in the problems."
| 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
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| 5. | "
Scoring Procedures
All students used a similar solution process that they had learned
in their mathematics lessons: representing the problem in a table and
generating an algebraic solution equation based on the table."
| Source: | NEUMAN, YAIR,LEIBOWITZ, LIAT,SCHWARZ, BARUCH. "Patterns of Verbal Mediation During Problem Solving: A Sequential Analysis of Self-Explanation" Journal of Experimental Education 68.3 Mar. 22 2000: 197
|
|
| 6. | "... Mindy Obert
This book focuses on algebra as a language of process, expands the
notion of variable, develops ideas about the representation of
functions, and extends students' understanding of algebraic
equivalence and change."
| Source: | . "Navigations series" Teaching Children Mathematics 10.7 Mar. 1 2004: 8-12
|
|
| 7. | " Accommodating to this system, dominated by the methodologies
of scientism, encourages the use of exclusionary jargon and esoteric
algebraic and logical reasoning processes that can isolate the politi
cal science community from even the most informed of the broader
political community."
| Source: | Robinson, Tony. "Service Learning as Justice Advocacy: Can Political Scientists Do Politics?" PS: Political Science & Politics 33.3 Sept. 1 2000: 605
|
|
| 8. | " Hand algebraic manipulation was required to translate the
computer output into the form shown here."
| Source: | MORRISON, CLARENCE C. "General Equilibrium Simulations and Keynesian Economic Analysis: Some Simple Microfoundations from an Old Fashioned General Equilibrium Perspective" American Journal of Economics and Sociology 59.2 Apr. 1 2000: 315
|
|
| 9. | "... and graphically." He also emphasized the need to make
connections between the "graphical and algebraic forms of a
function and its derivative."
A fourth indicator of understanding evidenced by explanation is the
ability to make inferences."
| Source: | Schwalbach, Eileen M.,Dosemagen, Debra M. "Developing Student Understanding: Contextualizing Calculus Concepts" School Science and Mathematics 100.2 Feb. 1 2000: 90
|
|
| 10. | "... algebraic, physical algebraic, physical
modeling)..."
| Source: | Sheffield, Linda Jensen. "Creating and Developing Promising Young Mathematicians" Teaching Children Mathematics 6.6 Feb. 1 2000: 416
|
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| 11. | "
Edited by Barbara Moses
Helps teachers understand the development of algebraic thinking and
the types of activities at different grade levels that can foster
algebraic thinking in children."
| Source: | . "Did Nike Say to `Just Do It" Teaching Children Mathematics 6.9 May 1 2000: 88
|
|
| 12. | " To state it in algebraic terms:
S = ~C
where the powers belonging exclusively to the states or the people
(S) are those that are not permitted to Congress (~C).(52) This
algebraic expression has limits."
| Source: | Bybee, Jay S. "The Tenth Amendment among the shadows: on reading the constitution in Plato's Cave" Harvard Journal of Law & Public Policy 23.2 Mar. 22 2000: 551
|
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| 13. | "
Although Japan's integrated mathematics curriculum does devote
some degree of attention to geometry, it also focuses heavily on
algebraic concepts as well as on statistical and algebraic reasoning,
all of which provide abundant opportunities for calculator use."
| 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 |
|
| 14. | "
Figure 1 also contains the correlations among the four first-order
factors, which are algebraic functions of the variance of the
second-order factor and the four second-order factor loadings."
| Source: | CHEUNG, DEREK. "Measuring Teachers' Meta-Orientations to Curriculum: Application of Hierarchical Confirmatory Factor Analysis" Journal of Experimental Education 68.2 Jan. 1 2000: 149
|
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| 15. | " Graphical and algebraic explanations of the Euler and Runge-Kutta
algorithms appear in Press et al. (1992) and in textbooks on numeric
methods in computing (e.g., Atkinson 1989)."
| Source: | JACKSON, LELAND J.,TREBITZ, ANETT S.,COTTINGHAM, KATHRYN L. "An Introduction to the Practice of Ecological Modeling" BioScience 50.8 Aug. 1 2000: 694
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| 16. | "
He might, for example, ask students in intermediate algebra to evaluate
a certain algebraic expression, and then point out that the Babylonians
used the same expression as a formula for multiplication."
| Source: | WEIGER, PAMELA R. "Re-Calculating Math Instruction" Black Issues in Higher Education 17.13 Aug. 17 2000: 58
|
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| 17. | "
To start, by successive algebraic substitution, we solve the
simultaneous equations for I, V, and C and obtain the following exact
expression for the OLS estimate of [[beta].sub.VI]."
| Source: | ERIKSON, ROBERT S.,PALFREY, THOMAS R. "Equilibria in Campaign Spending Games: Theory and Data" American Political Science Review 94.3 Sept. 1 2000: 595
|
|
| 18. | " They both evangelically believed that the
structure of this logic could be described by the powerful tool of
algebraic analysis.(19) Babbage and Herschel, following a particular
version of the Scottish conjectural histories, believed that an
industrial society was the ultimate stage of civilisation."
| Source: | Ashworth, William J. "England and the Machinery of Reason 1780 to 1830" Canadian Journal of History 35.1 Apr. 1 2000: 1
|
|
| 19. | "... graphs, algebraic equations; its gross
generalizations about culture, has silenced many of us [who now] feel we
can no longer discuss our own literature; while others of us have
developed intense writing blocks while puzzled by the
incomprehensibility of the language..."
| Source: | DECK, ALICE. "PSYCHOANALYSIS AND BLACK NOVELS: DESIRE AND THE PROTOCOLS OFRACE" Journal of English and Germanic Philology 99.2 Apr. 1 2000: 280
|
|
| 20. | "... * understand patterns, relations, and functions;
* represent and analyze mathematical situations and structures
using
* algebraic symbols;
* use mathematical models to represent and understand quantitative
* relationships;
* analyze change in various concepts."
3. Geometry
..."
| Source: | Niess, Margaret L.,Lederman, Norman G. "A Call for Action With the Principles and Standards for School Mathematics" School Science and Mathematics 100.5 May 1 2000: 256
|
|
| 21. | " Even Wisconsin
itself went through ups and downs in algebraic benevolence, including
certain clashes between Old Bob LaFollette and Commons; and in the late
1930s some nasty under-currents of anti-semitism and fascist cult
movements appeared in the state."
| Source: | Samuelson, Paul A. "THE GOLDEN VIRTUE OF ECLECTICISM IN ECONOMICS JOHN R. COMMONS AWARD LECTURE" American Economist 44.1 Mar. 22 2000: 3
|
|
| 22. | " The estimates of the
number of diabetic subjects in the empty cells were computed as the
antilog of a linear combination of the parameter estimates, whose
variance was the algebraic sum of the elements of the
variance-covariance matrix."
| Source: | VERLATO, GIUSEPPE,MUGGEO, MICHELE. "Capture-Recapture Method in the Epidemiology of Type 2 Diabetes: A contribution from the Verona Diabetes Study" Diabetes Care 23.6 June 1 2000: 759
|
|
| 23. | "... I obtain
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
which after a few algebraic manipulations becomes
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
which is always satisfied."
| Source: | Spagnolo, Giancarlo. "Stock-related compensation and product-market competition" RAND Journal of Economics 31.1 Mar. 22 2000: 22
|
|
| 24. | " The math modules cover whole numbers, measurement, fractions,
decimals, percentages, ratios, geometry, statistics and probability, and
algebraic ideas."
| Source: | . "Assistance with Reading and Math Comes Right to Your Home" T H E Journal (Technological Horizons In Education) 27.11 June 1 2000: 52
|
|
| 25. | " The activities
involve the mathematical strands of numeration, number theory,
measurement, geometry, algebraic reasoning, data interpretation, and
logical reasoning."
| Source: | Robinson, Karen J. "AfterMath Series" Teaching Children Mathematics 6.8 Apr. 1 2000: 534
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