Inhaltsverzeichnis
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
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