Classification of Topic Areas and Behaviors in K-12 coursework. Used to analyze textbook expository content and problems.
This page supports research by Mary Ann Huntley in collaboration with Maria Terrell |
| ||

- Still a bit rough.
- Some of the automatically generated links have errors due to illegal search symbols in the original descriptions.
- Definitely usable for poking around.
- I have added some initial observations in the comment area below.
- You can add your own comments to this page below.

Code | Mathworld | Wordnet | Wikipedia | Description of code |
---|---|---|---|---|

000 | MW | WN | WP | EXCEPTION -- No Appropriate Code |

100 | MW | WN | WP | NUMBER SENSE /Properties/ Relationships |

101 | MW | WN | WP | Place value |

102 | MW | WN | WP | Whole numbers and Integers |

103 | MW | WN | WP | Operations |

104 | MW | WN | WP | Fractions |

105 | MW | WN | WP | Decimals |

106 | MW | WN | WP | Percents |

107 | MW | WN | WP | Ratio and proportion |

108 | MW | WN | WP | Patterns |

109 | MW | WN | WP | Real and/or Rational numbers |

110 | MW | WN | WP | Exponents and scientific notation |

111 | MW | WN | WP | Factors, multiples, and divisibility |

112 | MW | WN | WP | Odd/even/prime/composite/square numbers |

113 | MW | WN | WP | Estimation |

114 | MW | WN | WP | Number Comparisons (order, magnitude, relative size inverse, opposites, equivalent forms, scale or number line) |

115 | MW | WN | WP | Order of operations |

116 | MW | WN | WP | Computational Algorithms |

117 | MW | WN | WP | Relationships between operations |

118 | MW | WN | WP | Number Theory (e.g. base-ten and non-base-ten systems) |

119 | MW | WN | WP | Mathematical properties (e.g., distributive property) |

190 | MW | WN | WP | OTHER NUMBER SENSE |

200 | MW | WN | WP | OPERATIONS |

201 | MW | WN | WP | Add/subtract whole numbers and integers |

202 | MW | WN | WP | Multiply whole numbers and integers |

203 | MW | WN | WP | Divide whole numbers and integers |

204 | MW | WN | WP | Combinations of operations on whole numbers or integers |

205 | MW | WN | WP | Equivalent and non-equivalent fractions |

206 | MW | WN | WP | Add/subtract fractions |

207 | MW | WN | WP | Multiply fractions |

208 | MW | WN | WP | Divide fractions |

209 | MW | WN | WP | Combinations of operations on fractions |

210 | MW | WN | WP | Ratio and proportion |

211 | MW | WN | WP | Representations of fractions |

212 | MW | WN | WP | Equivalence of decimals, fractions, and percents |

213 | MW | WN | WP | Add/ subtract decimals |

214 | MW | WN | WP | Multiply decimals |

215 | MW | WN | WP | Divide decimals |

216 | MW | WN | WP | Combinations of operations on decimals |

217 | MW | WN | WP | Computing with percents |

218 | MW | WN | WP | Computing with exponents and radicals |

290 | MW | WN | WP | OTHER OPERATIONS |

300 | MW | WN | WP | MEASUREMENT |

301 | MW | WN | WP | Use of measuring instruments |

302 | MW | WN | WP | Theory (arbitrary, standard units and unit size) |

303 | MW | WN | WP | Conversions |

304 | MW | WN | WP | Metric (SI) system |

305 | MW | WN | WP | Length and perimeter |

306 | MW | WN | WP | Area and volume |

307 | MW | WN | WP | Surface Area |

308 | MW | WN | WP | Direction, Location, Navigation |

309 | MW | WN | WP | Angles |

310 | MW | WN | WP | Circles (e.g., pi, radius, area) |

311 | MW | WN | WP | Mass (weight) |

312 | MW | WN | WP | Time and temperature |

313 | MW | WN | WP | Money |

314 | MW | WN | WP | Derived measures (e.g., rate and speed) |

315 | MW | WN | WP | Calendar |

316 | MW | WN | WP | Accuracy and Precision |

390 | MW | WN | WP | OTHER MEASUREMENT |

400 | MW | WN | WP | CONSUMER APPLICATIONS |

401 | MW | WN | WP | Simple interest |

402 | MW | WN | WP | Compound interest |

403 | MW | WN | WP | Rates (e.g., discount and commission) |

404 | MW | WN | WP | Spreadsheets |

490 | MW | WN | WP | OTHER CONSUMER APPLICATIONS |

500 | MW | WN | WP | BASIC ALGEBRA |

501 | MW | WN | WP | Absolute value |

502 | MW | WN | WP | Use of variables |

503 | MW | WN | WP | Evaluation of formulas, expressions, and equations |

504 | MW | WN | WP | One-step equations |

505 | MW | WN | WP | Coordinate Planes |

506 | MW | WN | WP | Patterns |

507 | MW | WN | WP | Multi-step equations |

508 | MW | WN | WP | Inequalities |

509 | MW | WN | WP | Linear and non-linear relations |

510 | MW | WN | WP | Rate of change/slope/line |

511 | MW | WN | WP | Operations on polynomials |

512 | MW | WN | WP | Factoring |

513 | MW | WN | WP | Square roots and radicals |

514 | MW | WN | WP | Operations on radicals |

515 | MW | WN | WP | Rational expressions |

516 | MW | WN | WP | Multiple representations |

590 | MW | WN | WP | OTHER BASIC ALGEBRA |

600 | MW | WN | WP | ADVANCED ALGEBRA |

601 | MW | WN | WP | Quadratic equations |

602 | MW | WN | WP | Systems of equations |

603 | MW | WN | WP | Systems of inequalities |

604 | MW | WN | WP | Compound Inequalities |

605 | MW | WN | WP | Matrices and determinants |

606 | MW | WN | WP | Conic sections |

607 | MW | WN | WP | Rational, negative exponents/radicals |

608 | MW | WN | WP | Rules for exponents |

609 | MW | WN | WP | Complex numbers |

610 | MW | WN | WP | Binomial theorem |

611 | MW | WN | WP | Factor/remainder theorem |

612 | MW | WN | WP | Field properties of real number system |

613 | MW | WN | WP | Multiple representations |

690 | MW | WN | WP | OTHER ADVANCED ALGEBRA |

700 | MW | WN | WP | GEOMETRIC CONCEPTS |

701 | MW | WN | WP | Basic terminology |

702 | MW | WN | WP | Points, lines, rays, segments, and vectors |

703 | MW | WN | WP | Patterns |

704 | MW | WN | WP | Congruence |

705 | MW | WN | WP | Similarity |

706 | MW | WN | WP | Parallels |

707 | MW | WN | WP | Triangles |

708 | MW | WN | WP | Quadrilaterals |

709 | MW | WN | WP | Circles |

710 | MW | WN | WP | Angles |

711 | MW | WN | WP | Polygons |

712 | MW | WN | WP | Polyhedra |

713 | MW | WN | WP | Models |

714 | MW | WN | WP | 3-D relationships |

715 | MW | WN | WP | Symmetry |

716 | MW | WN | WP | Transformations (e.g., flips or turns) |

717 | MW | WN | WP | Pythagorean Theorem |

790 | MW | WN | WP | OTHER GEOMETRIC CONCEPTS |

800 | MW | WN | WP | ADVANCED GEOMETRY |

801 | MW | WN | WP | Logic, reasoning, and proofs |

802 | MW | WN | WP | Loci |

803 | MW | WN | WP | Spheres, cones, and cylinders |

804 | MW | WN | WP | Coordinate Geometry |

805 | MW | WN | WP | Vectors |

806 | MW | WN | WP | Analytic Geometry |

807 | MW | WN | WP | Non-Euclidean Geometry |

808 | MW | WN | WP | Topology |

890 | MW | WN | WP | OTHER ADVANCED GEOMETRY |

900 | MW | WN | WP | DATA DISPLAYS |

901 | MW | WN | WP | Summarize data in a table or graph |

902 | MW | WN | WP | Bar graph and histograms |

903 | MW | WN | WP | Pie charts and circle graphs |

904 | MW | WN | WP | Pictographs |

905 | MW | WN | WP | Line graphs |

906 | MW | WN | WP | Stem and Leaf plots |

907 | MW | WN | WP | Scatter plots |

908 | MW | WN | WP | Box plots |

909 | MW | WN | WP | Line plots |

910 | MW | WN | WP | Classification and Venn diagrams |

911 | MW | WN | WP | Tree diagrams |

990 | MW | WN | WP | OTHER DATA DISPLAYS |

1000 | MW | WN | WP | STATISTICS |

1001 | MW | WN | WP | Mean, median, and mode |

1002 | MW | WN | WP | Variability, standard deviation, and range |

1003 | MW | WN | WP | Line of best fit |

1004 | MW | WN | WP | Quartiles and percentiles |

1005 | MW | WN | WP | Bivariate distribution |

1006 | MW | WN | WP | Confidence intervals |

1007 | MW | WN | WP | Correlation |

1008 | MW | WN | WP | Hypothesis testing |

1009 | MW | WN | WP | Chi Square |

1010 | MW | WN | WP | Data Transformation |

1011 | MW | WN | WP | Central Limit Theorem |

1090 | MW | WN | WP | OTHER STATISTICS |

1100 | MW | WN | WP | PROBABILITY |

1101 | MW | WN | WP | Simple probability |

1102 | MW | WN | WP | Compound probability |

1103 | MW | WN | WP | Conditional probability |

1104 | MW | WN | WP | Empirical probability |

1105 | MW | WN | WP | Sampling and Sample spaces |

1106 | MW | WN | WP | Independent vs. dependent events |

1107 | MW | WN | WP | Expected value |

1108 | MW | WN | WP | Binomial distribution |

1109 | MW | WN | WP | Normal curve |

1190 | MW | WN | WP | OTHER PROBABILITY |

1200 | MW | WN | WP | ANALYSIS |

1201 | MW | WN | WP | Sequences and series |

1202 | MW | WN | WP | Limits |

1203 | MW | WN | WP | Continuity |

1204 | MW | WN | WP | Rates of change |

1205 | MW | WN | WP | Maxima, Minima, and Range |

1206 | MW | WN | WP | Differentiation |

1207 | MW | WN | WP | Integration |

1290 | MW | WN | WP | OTHER ANALYSIS |

1300 | MW | WN | WP | TRIGONOMETRY |

1301 | MW | WN | WP | Basic ratios |

1302 | MW | WN | WP | Radian measure |

1303 | MW | WN | WP | Right triangle trigonometry |

1304 | MW | WN | WP | Law of Sines and Cosines |

1305 | MW | WN | WP | Identities |

1306 | MW | WN | WP | Trigonometric equations |

1307 | MW | WN | WP | Polar coordinates |

1308 | MW | WN | WP | Periodicity |

1309 | MW | WN | WP | Amplitude |

1390 | MW | WN | WP | OTHER TRIGONOMETRY |

1400 | MW | WN | WP | SPECIAL TOPICS |

1401 | MW | WN | WP | Sets |

1402 | MW | WN | WP | Logic |

1403 | MW | WN | WP | Mathematical induction |

1404 | MW | WN | WP | Linear programming |

1405 | MW | WN | WP | Networks |

1406 | MW | WN | WP | Iteration and recursion |

1407 | MW | WN | WP | Permutation combinations |

1408 | MW | WN | WP | Simulations |

1409 | MW | WN | WP | Fractals |

1490 | MW | WN | WP | OTHER SPECIAL TOPICS |

1500 | MW | WN | WP | FUNCTIONS |

1501 | MW | WN | WP | Notation |

1502 | MW | WN | WP | Relations |

1503 | MW | WN | WP | Linear |

1504 | MW | WN | WP | Quadratic |

1505 | MW | WN | WP | Polynomial |

1506 | MW | WN | WP | Rational |

1507 | MW | WN | WP | Logarithmic |

1508 | MW | WN | WP | Exponential |

1509 | MW | WN | WP | Trigonometric and circular |

1510 | MW | WN | WP | Inverse |

1511 | MW | WN | WP | Composition |

1512 | MW | WN | WP | *transformations |

1590 | MW | WN | WP | OTHER FUNCTIONS |

1600 | MW | WN | WP | INSTRUCTIONAL TECHNOLOGY |

1601 | MW | WN | WP | Use of calculators |

1602 | MW | WN | WP | Use of graphing calculators |

1603 | MW | WN | WP | Use of computers and internet |

1604 | MW | WN | WP | Computer programming |

1605 | MW | WN | WP | Use of Spreadsheets |

1690 | MW | WN | WP | OTHER INSTRUCTIONAL TECHNOLOGY |

9999 | MW | WN | WP | EXCEPTION -- Out of Topic Area |

K | MW | WN | WP | Knowing |

K1 | MW | WN | WP | Recall |

K2 | MW | WN | WP | Recognize |

K3 | MW | WN | WP | Compute |

K4 | MW | WN | WP | Retrieve |

K5 | MW | WN | WP | *Recount |

A | MW | WN | WP | Applying |

A1 | MW | WN | WP | Select |

A2 | MW | WN | WP | Represent |

A3 | MW | WN | WP | Model |

A4 | RoutineProblems)?topicparent=ITO.MathTaxonomy;nowysiwyg=0" rel="nofollow" title="MW (this topic does not yet exist; you can create it)">MW | RoutineProblems)?topicparent=ITO.MathTaxonomy;nowysiwyg=0" rel="nofollow" title="WN (this topic does not yet exist; you can create it)">WN | RoutineProblems)?topicparent=ITO.MathTaxonomy;nowysiwyg=0" rel="nofollow" title="WP (this topic does not yet exist; you can create it)">WP | Solve (Routine Problems) |

R | MW | WN | WP | Reasoning |

R1 | MW | WN | WP | Analyze |

R2 | MW | WN | WP | Generalize |

R3 | MW | WN | WP | Synthesize/Integrate |

R4 | MW | WN | WP | Justify |

R5 | MW | WN | WP | Solve (Non-routine Problems) |

- Possible way to achieve a consensus for definitions: Use the training time to have people find the entry in Math World which corresponds to what wants to be understood under the topic in the taxonomy. The Math World entry then becomes the basis for a natural definition, or more likely the corresponding entry in the printed version: CRC Concise Encyclopedia of Mathematics, Second Edition by Eric W. Weisstein (Hardcover - Dec 12, 2002) Amazon:978-1584883470 . This process will result in separating out the various collection topics in the taxonomy, but they will easily translate back to any taxonomy. -- DickFurnas - 08 Jun 2009
- Wikipedia and Wordnet can be of great help in casting about for synonyms or searchable terms to find appropriate definition pages in Mathworld. My initial impression is that Wikipedia does a better job of producing an appropriate hit for the more ordinary parlance of the K-12 curriculum taxonomy, but the lack of a printed reference is problematic for the research purposes. -- DickFurnas - 08 Jun 2009
- The math jargon used in Math World is different, often stricter usage than that inherited from the taxonomy so some translation and experimentation with searches using different words is required to find the Math World entry which corresponds to the desired topic. -- DickFurnas - 08 Jun 2009

-- DickFurnas - 08 Jun 2009

Topic revision: r1 - 2009-06-08 - DickFurnas