Teachable Agent: Learning by Teaching Math

by Donggil Song, 2011.

Teachable Agent is an application based on the instructional technology that draws on the social metaphor of teaching a computer agent to help students learn. We wanted to apply the concept of Teachable Agent to the math education field.

 

1. Start Eins (no longer available)

eins01

eins02

 

 

2. Sign-in

eins03

 

3. Teaching Phase

eins04

 

4. Draggable Materials
You can drag & drop these icons to explain the meaning of the arithmetic mean. When these icons are moved to some of vacant rectangles, the program notices what this is.

eins05

 

5. Interaction
Currently, it’s simple, only echoing. Later, it will be upgraded to process a natural language.

eins06

 

eins07

 

6. The number of digits – Drag
The number of digits will be expressed on the board automatically. Users can also drag and drop this number.

eins08

eins09

 

7. The number of digits – Infinity and “m”

If “⋯” icon was clicked, the number of digits would become ∞. If “⋯” and “n” were used, the number of digits would become “m”. If you click the “Let’s call it a day” button, the test page will be shown.

eins10

eins11

 

8. Test Phase

eins12

 

9. Questions
After clicking the question buttons (1 to 4) sequentially, you will be able to see your agent’s test results.

eins14

eins15

 

10. Result – Grade D

eins16

 

11. Result – Grade C
If a tutor (user) explained (3+6+8)/3 as a meaning of the mean, Eins would solve the problems which deal with two or three digits only.

eins17

eins18

 

12. Result – Grade A pattern

eins19

eins20

 

13. Result – Another Grade A

eins21

eins22