Math Taxonomy

Page Status:

• 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.

Taxonomy with links to a corresponding searches in Mathworld:Mathworld , Wordnet:Wordnet , Wikipedia:Wikipedia

Code	Mathworld	Wordnet	Wikipedia	Description of code
000	MW	WN	WP	EXCEPTION -- No Appropriate Code
100	MW	WN	WP	NUMBER SENSE /Properties/ Relationships
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
101	MW	WN	WP	Place value
1010	MW	WN	WP	Data Transformation
1011	MW	WN	WP	Central Limit Theorem
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
1090	MW	WN	WP	OTHER STATISTICS
110	MW	WN	WP	Exponents and scientific notation
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
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)
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
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
9999	MW	WN	WP	EXCEPTION -- Out of Topic Area
A	MW	WN	WP	Applying
A1	MW	WN	WP	Select
A2	MW	WN	WP	Represent
A3	MW	WN	WP	Model
A4	RoutineProblems)?topicparent=MH.MathTaxonomy;nowysiwyg=0" rel="nofollow" title="MW (this topic does not yet exist; you can create it)">MW	RoutineProblems)?topicparent=MH.MathTaxonomy;nowysiwyg=0" rel="nofollow" title="WN (this topic does not yet exist; you can create it)">WN	RoutineProblems)?topicparent=MH.MathTaxonomy;nowysiwyg=0" rel="nofollow" title="WP (this topic does not yet exist; you can create it)">WP	Solve (Routine Problems)
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
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)

Add your Comments here.

• Math World In poking around Math World, it appears they have serious aspirations to cover Math and Math education at all levels.
  http://mathworld.wolfram.com/about/
  Clearly they began as a resource for Research and Professional Mathematicians and are only more recently working their way into College level and High School.
  http://mathworld.wolfram.com/classroom/
  One item of particular interest is a note that all pages in Math World are tagged with classification information for both
  Dublin Core: http://www.ams.org/mathscinet/msc/msc.html and Mathematics Subject Classification (MSC): http://www.ams.org/mathscinet/msc/msc.html -- DickFurnas - 08 Jun 2009
• Mathematics Subject Classification (MSC) may be just what the doctor ordered as far as a taxonomy. The coding philosophy has pieces of your notion of "find THE one" but allows for identifying other areas of interest as well. A coding team which had three people coding each question or narrative piece, along the lines we were talking about at dinner, could probably just use the MSC schema and use a voting system to assign THE one in a manner consistent with the MSC.
  State standards and exams could be similarly coded with a direct, well-supported basis for comparison of problems, curriculum materials and research brought together using these tools and other efforts. -- DickFurnas - 08 Jun 2009

• American Institutes for Research (AIR) in DC: My son, Ben, did a brief stint as a freelance writer of Math questions for the Assessment division of (AIR) in DC:
  http://assessment.air.org/default.aspx
  By Ben's account, AIR provides a whole set of training manuals with
  • skeletons of questions
  • Behaviors/Cognitive Domains
  • Notions of difficulty all explicitly spelled out, enabling AIR to give him very specific assignments that will fit into their assessment schema. Ben was under the impression that AIR provies questions to various state testing entities and maybe some of the commercial testing companies as well. -- DickFurnas - 08 Jun 2009
• Unnecessary Reverse Engineering? In my discussion with Ben, we both found ourselves wondering about the extent to which some of the classification task at hand amounted to reverse engineering things for which the original engineering may be readily available. If only the right places could be found to ask... AIR might be a significant resource in that regard. -- DickFurnas - 08 Jun 2009
• Consensus for definitions One 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