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Workshops: Tactile Math Function Graph Perception 1 and 2

Presented by Petr Cervenka, Lukas Masilko and Jiri Pecl

Workshop 1
Target group: students track (Teachers/experts/transcribers are welcome to attend the workshop, since it gives them a lot of useful feedback)

  • Demonstration of basic mathematical functions and their shapes
  • Determination of functions from the tactile graphs

The main goal of the workshop is to introduce blind participants with basic hints how to work with tactile line graphs of mathematical functions. The authors of the workshop start with demonstration of Cartesian coordinate system for graphic representation of mathematical functions in tactile form. Beside this they present different technologies (Zy-Fuse Heater, Tiger Embosser, Thermoform Machine) for tactile graphics so that the blind participants become aware of the pros and cons of these specific approaches.
Then they provide a list of basic mathematical functions with one parameter and their graph representation. The participants will become familiar with the curves of functions, such as linear, absolute value, quadratic and trigonometric functions.
Finally, students will receive several pages of unknown curves in a tactile form and they will try to determine which mathematical functions are represented by these graphs. The well-known basic functions will be slightly modified (an argument’s change, adding or multiplying constants, etc.).
The function basic forms will be offered in these national mathematical braille codes: English, French, German (Marburg), Czech.

Workshop 2
Target group: students track (Teachers/experts/transcribers are welcome to attend the workshop, since it gives them a lot of useful feedback)
Note: it is recommended to participate in the workshop Tactile Math Function Graph Perception 1 (last year it was called Tactile Math Function Graph Perception).
Objectives

  • Demonstration of further mathematical functions and their shapes
  • Modification of a function's basic form – how it changes the curves' properties.
  • Determination of the functions from the tactile graphs
  • Introduction into the plain curves such as circles, ellipses etc.

The main goal of the workshop is to introduce further basic mathematical functions with one parameter and their graph representation. Participants get to know the rational, exponential and logarithmic functions. The authors also explain (in detail) all the known types of basic function form modification – multiplication or addition of an argument or the whole function. They demonstrate how these modifications influence the graph of the function.
In the second part of the workshop participants receive several pages of unknown curves in a tactile form and they shall try to determine which mathematical functions are represented by these graphs.
Finally, the authors introduce participants to plain curves such as circles, ellipses etc. They explain why these curves are not the functions and offer participants their tactile representation. Again, graphs of these curves can be modified by an argument’s change and adding or multiplying the whole function form.

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