CAJ | 학술논문

为了探索含有新算符的代数运算规则学习的有效样例设计方式，分别采用“转换标记法”和“解释法”设计“指．对数转换”运算和对数运算的样例，考察了初中三年级学生代数运算规则样例学习的迁移效果。结果显示：（1）采用“转换标记法”设计的样例可以明显提高“指-对数转换”规则样例学习的迁移效果；（2）采用“解释法”设计的运算样例，能够明显促进“对数运算规则”的样例学习迁移效果，并与被试的基础知识有关。
위료탐색함유신산부적대수운산규칙학습적유효양례설계방식，분별채용“전환표기법”화“해석법”설계“지．대수전환”운산화대수운산적양례，고찰료초중삼년급학생대수운산규칙양례학습적천이효과。결과현시：（1）채용“전환표기법”설계적양례가이명현제고“지-대수전환”규칙양례학습적천이효과；（2）채용“해석법”설계적운산양례，능구명현촉진“대수운산규칙”적양례학습천이효과，병여피시적기출지식유관。
Most of the previous researches indicated that, after certain rules, they could master the rules involved to solve students had learned worked-examples including problems. However, recent researches have shown that students were able to discover and master new rules through well-designed worked-examples, based on their prior knowledge. Zhang Qi and Lin Hongxin （2005） and Lin Hongxin and Zhang Qi （2007） found that primary school students could learn new mathematic rules with proper design, but these students failed to master algebra rules. One possible reason of this finding was that the students did not understand the meaning of new algebra operators. Therefore, we designed worked-examples of conversion from index to logarithmic form by applying the ＂method of converting label＂ and worked examples of logarithmic operations by applying the ＂method of explanation＂. The main objective of our study was to examine the effectiveness of each design method on worked-example learning. In order to explore the effect of ＂method of converting label （design with method of converting label or normal design）＂ and ＂number of worked-examples （3 or 6）＂ on learning conversion from index to logarithmic form, a 2~2 between-subjects factorial design was used in Experiment 1. One hundred twenty 9th grade students participated the experiment in which they were divided into 4 groups to take part in different procedures. Experiment 2 used a 2 （method of design： design with the method of explanation or normal design） ~2 （learned the conversion rules： yes or no） between-subjects factorial design, in which there were also 120 9th grade students took part and carried on different procedures in 4 separate groups to learn logarithmic operation rules. There was a significant main effect of ＂method of converting label＂, which is, students who have learned worked-examples with this method performed better than those who haven＇t. However, there was no significant main effect of the number of examples or interaction between the method of converting label and the number of examples; In addition, the main effects of both factors （design with method of explanation or normal design; learned conversion from index to logarithmic form or not） were significant. There was also a significant interaction between these two factors. For students who learned the conversion rules, their performance on worked-examples designed with the method of explanation was better than those who learned normal-designed examples. For students without the knowledge of the conversion rules, there was no significant difference between the two groups. The present study implied that most of the 9th grade students could master the conversion rules from index to logarithmic form and the logarithmic operation rules. Worked-examples designed with the method of converting label significantly improve students＇ learning. Worked-examples designed with the method of explanation facilitate transferring, which is related to participants＇ previous knowledge.