[[alternative]]On the Effectiveness of Instructing by Mathematical Game

[[abstract]]The purpose of the research is to enhance children's interests of studying mathematics by designing fifteen games of three different types during fifteen lessons, which are thirty-one hours in total. This research was done by experience designing. The forth grades students in one of the primary school in Keelung as the sample. One class was chosen as the experimental group-beside the normal teaching lessons, the mathematics games was taught. The control group was chosen from the other two classes. Choosing sixteen students with best study performance as control group. That is because the experimental group is physical training class. Those students' grades in the class are much better than others' grade. The information gathered during the research includes pre and posttest, questionnaire of students' attitude towards mathematics before and after instruction, learning result of game teaching, integrated teaching records, video etc. The data analyzing of the research was divided into two parts-one is quantity analyzing and another is quality analyzing. ANOVA was adapted in quantity analyzing and the information was processed with SAS. Describing method was used in quality analyzing. The questionnaire and the students' performance in the video will be analyzed in detail. The result of statistics shows the experience group has obvious effort on posttest and the sense of dimensions. Therefore, these two games can be the reference of future assistance learning use. There is no obvious change in calculating ability due to the time limit. During the lessons, boys' learning interaction frequency is higher than girls', but boys show obvious different attitudes toward different games. Besides, the analysis of students' diaries shows that 87% of students think they can benefit a lot from mathematics games. Within fifteen game, 66.7 of students think "mathematics 24" is helpful for calculation ability, 26.7% of students think "seven-piece puzzle" is helpful for solving questions. 70% of students think the magic square is the best way to enhance the sense of dimension. According to the pre and posttest attitude test paper about the three elements discussion shows that students' attitudes toward "mathematics idea and the attitudes mathematics" and "mathematics effort and mathematics study" decreased. That is possibly because the effort on mathematics game learning transfer to mathematics study is not so obvious. According to the result, there are 25% of students show the pessimistic attitudes. As for the future research directions, the single type game or in cooperation way can be considered.