Combined Mathematical Taxonomy

March 16, 2001

Version 1.0

  1. Geometry and Spatial Sense
    1. Angle
    2. Circle
    3. Conic Sections
    4. Coordinate geometry <|>Analytical geometry
    5. Non-Euclidean geometry
    6. Pi
    7. Plane geometry |> Euclidean geometry
    8. Polygon
    9. Polyhedron
    10. Proof <|> Geometric Proof
    11. Properties of Conic Sections
    12. Quadrilateral
    13. Rectangle
    14. Riemannian Geometry
    15. Spherical geometry
    16. Similarity
    17. Solid geometry
    18. Symmetry
    19. Transformational geometry
    20. Triangle
    21. Axiomatic geometry
    22. Circle
    23. Trigonometry |> Trigonometric Function
    24. Vectors
    25. Angles
    26. Lines
    27. Manipulatives
    28. Spatial Sense
    29. Transformations
    30. Technology

  2. Statistics and Data Analysis
    1. Data Analysis
    2. Data Collection
    3. Data Representation
    4. Distributions
    5. Hypothesis Testing
    6. Statistical Tests
    7. Experimental Design
    8. Measure of Central Tendency
    9. Technology

  3. Probability
    1. Calculation
    2. Distribution
    3. Moment
    4. Random Variable
    5. Theorem
    6. Technology

  4. Patterns and Algebraic Thinking
    1. Patterns
    2. Functions
    3. Algebra
    4. Graphing
    5. Operations
    6. Equations
    7. Technology
    8. Prealgebra

  5. Connections
    1. Finance
    2. Real data
    3. Technology/Tools
    4. Careers
    5. Community
    6. Cross curricula

  6. Logical Reasoning
    1. Problem solving
    2. Logical reasoning

  7. Recreational – Games
    1. Competitions
    2. Contents
    3. Cryptography - Codes
  8. Number and Operation

    1. Numbers
    2. Operations
    3. Counting
    4. Computation <|> Operations <|> Calculation
    5. Number Sense
    6. Fraction
    7. Ratios
    8. Multiplication
    9. Number Theory
    10. Technology

  9. Measurement
    1. Angle
    2. Area
    3. Length (Distance, Linear Measure)
    4. Rate of change (Rates and Ratios)
    5. Volume <|> Capacity
    6. Measurement Tools
    7. Units
    8. Time

  10. Algebra
    1. Abstract Algebra
    2. Algebraic Expressions
    3. Equations
    4. Inequalities
    5. Operations
    6. Polynomial

  11. Calculus
    1. Applications of the derivative
    2. Applications of the Integral
    3. Derivative
    4. Differentiation Rules
    5. Differential Equations
    6. Integral
    7. Integration techniques
    8. Limits
    9. Numerical Integration
    10. Second Derivative
    11. Series
    12. Technology

  12. Discrete Math
    1. Algorithms
    2. Combinatorics
    3. Counting
    4. Dynamical Systems
    5. Enumeration
    6. Graph Theory
    7. Modular Arithmetic
    8. Recurrence Relations

  13. Functions
    1. Exponential functions
    2. Graphs
    3. Linear functions
    4. Operations
    5. Polynomials
    6. Properties of functions
    7. Properties of graphs
    8. Trigonometric functions
    9. Types of functions

  14. Linear Algebra
    1. Applications
    2. Linear transformation
    3. Matrices
    4. Vectors
    5. Vector Spaces

  15. Mathematical Reasoning
    1. Argument
    2. Heuristics
    3. Logic
    4. Proof

  16. Multivariate Calculus
    1. Limits
    2. Integrals
    3. Partial Derivatives
    4. Vector Calculus

  17. Number Theory
    1. Cryptography <|> Codes
    2. Congruence
    3. Diophantine Equations
    4. Famous problems
    5. Integers
    6. Primes <|> Prime Numbers
    7. Representation of Integers
    8. Second-degree Congruences

  18. . Trigonometry
    1. Angle Sum Formulas
    2. Functions
    3. Identities

  19. Differential Equations

  20. Financial Mathematics

  21. Finite Mathematics

  22. History of Mathematics

  23. . Modeling

  24. . Numerical Analysis

  25. Operations Research

  26. . Recreational Mathematics