This document discusses using learning analytics to analyze data from online math exercises to improve learning and teaching. It provides examples of analyzing data from "einmaleins.tugraz.at", an online training platform for primary school students to learn multiplication tables. The analysis has provided insights into students' learning processes and difficulty with different multiplication problems. It advocates that learning analytics can be used to interpret learner data and enhance the learning process individually.

1. Learning Analytics in Math
Why Open Education?
Martin Ebner

2. Greller, W., Ebner, M., Schön, M. (2014) Learning Analytics: From Theory to Practice –
Data Support for Learning and Teaching. In: Computer Assisted Assessment. Kalz, Marco,
Ras, Eric (Eds.) -Research into E-Assessment, Communications in Computer and
Information Science Volume 439, 2014, pp 79-87. Springer, New York

3. It‘s all about
http://www.flickr.com/photos/neeravbhatt/6995946039

4. Information
http://www.flickr.com/photos/auuep/3357824170
Interpretation

5. Example
... just a simple problem ...

6. ... the multiplication table for primary
school children ...
Example

7. http://einmaleins.tugraz.at

8. http://mathe.tugraz.at

9. Learning process

10. !
Analyses - All Users
http://einmaleins.tugraz.at
Schön, M., Ebner, M., Kothmeier, G. (2012) It's Just About Learning the
Multiplication Table, In Proceedings of the 2nd International Conference on
Learning Analytics and Knowledge (LAK '12), Simon Buckingham Shum, Dragan
Gasevic, and Rebecca Ferguson (Eds.). ACM, New York, NY, USA, 73-81

11. http://einmaleins.tugraz.at

12. http://einmaleins.tugraz.at http://einmaleins.tugraz.at

13. http://einmaleins.tugraz.at http://einmaleins.tugraz.at
http://einmaleins.tugraz.at

14. Trainer in numbers
> 6000 children
> 600.000 calculations
!
> 100 calculation / child
http://mathe.tugraz.at

15. http://mathe.tugraz.at

16. http://mathe.tugraz.at
Answer types
k = 2k = 1 k = 3 k = 4 k = 5
R
W
69.66
30.44
RR
12.8
87.2
RW
53.29
46.71
WR
7.11
92.89
WW
10.15
89.85
Others
31.01
68.99
71.52
28.48
23.03
76.97
77.59
22.41
9.37
90.63
16.14
83.86
55.29
44.71
72.26
27.74
42.28
57.72
89.02
10.98
7.69
92.31
29.30
70.70
66.51
33.49
72.66
27.34
51.38
48.62
92.48
7.52
0
100
39.13
60.87
74.98
25.02
72.92
27.08
50.00
50.00
93.57
6.43
0
100
41.67
58.33
80.63
19.37
Taraghi, B., Saranti, A., Ebner, M., Schön, S. (2014) On
Using Markov Chain to Evidence the Learning Structures
and Difficulty Levels of One Digit Multiplication, LAK 2014,
accepted, in print
!

17. h"p://schule.tugraz.at

18. ... and that’s just the beginning ...

19. Open Education
http://www.flickr.com/photos/ell-r-brown/3912248265http://www.bims.com

21. LA meets MOOCs

22. Learning Analytics is about the
interpretation of learners’ data to
enhance their learning process
individually
Martin Ebner & Martin Schön (2012)

23. Graz University of Technology
SOCIAL LEARNING
Computer and Information Services
Graz University of Technology
Martin Ebner
http://elearning.tugraz.at
martin.ebner@tugraz.at
Slides available at: http://elearningblog.tugraz.at
mebner
h"p://imoox.at