1 Computer-assisted learning for mathematical problem solving Source: Computers and Education, Vol.46, February, 2006, pp Author: Chang, Kuo-En; Sung, Yao-Ting; Lin, Shiu- Feng Date: 2006/02/23 Speaker: MeiYu Lin

2 outline Introduction Schema and solution tree System outline Experiment and Results Conclusions

3 Introduction The problems of previous schema  entire procedure of problem solving  The systems have not been investigated empirically purpose  Comparing problem-solving ability  helped students with their problem solving

4 Schema and solution tree schema solution tree

5 System outline 1/4 Four steps  (1)understanding the problem

6 System outline 2/4 Four steps  (2)making a plan

7 System outline 3/4 Four steps  (3)executing the plan

8 System outline 4/4 Four steps  (4)reviewing the solution

9 Experiment and Results 1/3 Participants  132 fifth-grade students(11 years old in average)  selected 49 students as participants ‘‘mathematical problem-solving pretest’’ were lower than 10 Chinese and mathematics for the second semester of the fifth grade were lower than 60 points  25 students in the control group  24 students in the experimental group

10 Experiment and Results 2/3 Procedures  spanned 6 weeks, one pretest, one post-test and eight problem-solving practice sessions (twice a week, 40 min each)

11 Experiment and Results 3/3

12 Conclusions evaluated by actual use in the classroom highlighting, visualized representation, solution review and other assistance in the problem-solving procedure