MathKit 7

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1C:Virtual Laboratory

TYPOLOGY OF EDUCATIONAL MODELS

Sample Models

Models' Typology

1. Visualize
2. Explore
3. Construct
4. Solve and Check
5. In Place of a Teacher
6. Virtual Experiments

The activities we present in this section illustrate various types of interactive models classified according to the different ways they can be used in teaching.

1. Visualize

1.1. Complex Geometric Configuration

1.2. Many in One: Desargue's Theorem

1.3. Precise Function Plotting

2. Explore

2.1. Making a Geometric Discovery

2.2. Numeric Experiment

2.3. Opening a "Black Box"

2.4. Choosing a Proper Viewpoint

2.5. Going to Extremes

2.6. Exploring Loci

2.7. Exploring Parametric Equations

3. Construct

3.1. Compass-and-Ruler Constructions

3.2. Custom Toolbar

3.3. 3D Constructions

3.4. Transforming Function Graphs

4. Solve and Check

4.1. Checking Constructions

4.2. Checking Texts

5. In Place of a Teacher

5.1. Visual Hints

5.2. Stepwise Presentation

6. Virtual Experiments

6.1. Virtual Experiments in Physics

6.2. Virtual Experiments in Astronomy

6.3. Stochastic processes

6.4. Mathematics and experiment

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