CAJ | 학술논문

先前抽样组合问题研究表明达到形式运算阶段青少年的抽样组合思维成绩表现并不一致，作者分析猜想可能的原因是组合元素数量增加会降低被试的抽样组合成绩。现在实验考察高中一年级学生的抽样组合思维能力，以组合问题中的总体元素数量和样本元素数量为自变量，设置了五选三、七选三和七选四的三种抽样组合问题条件。实验结果发现，随着总体元素数量和样本元素数量的增加，被试的组合成绩明显下降。这表明，青少年的抽样组合思维能力虽已获得，但随组合元素数量增加而表现出倒退，并没达到成熟的一般性。
선전추양조합문제연구표명체도형식운산계단청소년적추양조합사유성적표현병불일치，작자분석시상가능적원인시조합원소수량증가회강저피시적추양조합성적。현재실험고찰고중일년급학생적추양조합사유능력，이조합문제중적총체원소수량화양본원소수량위자변량，설치료오선삼、칠선삼화칠선사적삼충추양조합문제조건。실험결과발현，수착총체원소수량화양본원소수량적증가，피시적조합성적명현하강。저표명，청소년적추양조합사유능력수이획득，단수조합원소수량증가이표현출도퇴，병몰체도성숙적일반성。
The previous studies of sampling combinatorial problems indicate that adolescents at the formal operation stage show different performances on such tasks. We assume that it may be that increases in the number of combinatorial elements reduce combinatorial performances. The present study examines the possible influence of the number of combinatorial elements on sampling combinatorial reasoning. Methods： The present experiment investigated adolescents＇ reasoning abilities in sampling combinatorial problems. Participants were 141 tenth graders from a middle school who had not learned the combinatorial knowledge in school instructions. Independent variables were the number of elements in a population and the number of elements in a sample in a combinatorial problem. There were three conditions of combinatorial problems： 3 3 4 C~ C7 and C7. The number of elements in a population varied from 5 to 7. The number of elements in a sample varied from 3 to 4. Dependent variables were participants＇ combinatorial performances and strategies. Three classes＇ students were respectively arranged to the three combinatorial problems. 3 ~ . For example, a class＇ students was arranged to the following C5 combinatorial problem. A sports team has five players. They are respectively represented by letter code A, B, C, D and E. Now three members are selected from the five players in the team to constitute a group to participate in a sports team competition project. Q. What are the possible group combinations？ Please enumerate all the possible group combinations. Results： The results showed that, as the number of elements in a population and the number of elements in a sample increased, participants＇ combinatorial performances decreased, and the proportions of participants using the systematic variation method also decreased. The results supported the previous assumption.Conclusion： Adolescents＇ sampling combinatorial reasoning ability decreases as the number of combinatorial elements increases. It reveals that although the ability of sampling combinatorial reasoning is already acquired by adolescents at the formal operation stage, it doesn＇t reach the level of generalization.