====== Tools for school math ======

===== Expression-Manipulator =====

  * Determining whether an action is performed on the whole expression or on a subexpression
  * Extract, Factor, Expand
  * Variable order
  * Substitution
  * User determined simplification (Nouns and Verbs of arithmetic operations, Chris Sangwin)
  * Stepwise simplification (Stepping into algorithms, Chris Sangwin)
  * Determining the form of a fraction
  * Determining the form of decimal number
  * Structure analysis of math expressions
  * Determine variable domains

===== Equation solver =====

  * Numeric solver
  * Algebraic solver
  * Graphic solver
 
===== Plotting tool =====

  * Plotting, zooming, tracing points (2D, 3D)
  * Plotting, zooming, tracing sequences (2D, 3D)
  * Plotting, zooming, tracing functions (2D, 3D)
  * Plotting, zooming, tracing curves - Implicit plotting
  * Plotting vectors
  * Plotting slope and direction fields
  * Plotting figures and pictures (sketches)
  * Scatter plots
  * Statistic plots (Histogram, box plot, ... )
  * Using and mixing different coordinate systems (cartesian, polar, (spherical),...)
  

===== Geometric Tool =====

  * Dynamic geometry
  * As narrow interaction between algebraic and geometrical representation as possible
  * Interaction between geometrical objects, functions and curves

  
===== Stochastic Tool =====

  * Random Functions
  * List operations
  * Spreadsheet functionality
  * Statistic Calculations, Distributions, Confidence Intervals
  * Test functions

===== Calculus Machine =====

  * Sums, Products
  * Limits
  * Zeros
  * Differentiation (explicit, implicit)
  * Integration
  * Series
  * Differential equations
 
===== Algorithmic Tool =====

  * Implementation of elementary algorithms
  * Expanding functionality in form of modules
  * Collecting several geometrical steps in form of macros
  * “Iteration machine” for performing iterative or recursive operation