Cognitive load research offers some interesting ideas for presenting math education online.

1. COGNITIVE LOAD AND
TEACHING “HEURISTIC
DOMAIN” SUBJECTS

2. What is Learning?
 Selection of important
 Integration
 Organization

3. Some Vocabulary
 Near and far transfer
 Schema
 Cognitve load
 Heuristic domain

4. Cognitive Load
 Essential/Intrinsic
 Extraneous
 Germane/Generative

5. Example to Problem Solving
 Beginners: Low domain level knowledge
 Result
 High intrinsic load
 Less working memory for germane load
 Unable to use domain-specific solution
procedures

6. Renkl &Atkinson (2003)
 First: Worked out steps
 Self=explanation
 Second: Fading
 Ask students what rules apply
 Third: Solve problems

7. Renkl &Atkinson (2003)
 Learning objectives must be precisely defined
 Reducing extraneous CL not enough
 Germane load must be fostered

8. How to Implement?
 10 – 20 Terminology
 20 – 25 –30 Worked out examples
 35 – 40 – 45 Faded examples
 50 – Easiest problem to solve
 60 – 90 problems to solve

9. Worked Out Examples
24 x 22 = (2 x 2 x 2 x 2) x (2 x 2) = 64 = 26

10. Faded Examples
24 x 22 = (2 x 2 x 2 x 2) x (2 x 2) = 64 =

11. Problem Solving
24 x 22 =