子供の「割合」における概念獲得過程に関する研究(I) : 2つの対象物の比較に関する調査結果の分析と考察

抄録

　　In "Ratio," I have investigated aspects of emotions, conceputual knowledge, procedual knowledge, and school lessons. I make some investigations of "Ratio" and clarify processes for conceptualizatin of "Ratio" in children, I hope.
　　In this paper, I have mentioned the investigation for comparison of two objects from the viewpoint of consideration to aspects of conceputual knowledge in "Ratio." The investigation was carried out in the third term. The subjects are 205 pupils of two elementary schools in Kobe and their grades are five and six.
　　Reliability of the investigation was guaranteed by stability of it, Cronbach's a coefficient, GP analysis, and x^2-test.
　　Validity of the investigation was guaranteed by D index and differentiation of statistical category.
　　By the way, I have set up the following 4 hypotheses and examined to verify them.
Hypothesis (1)
　　Maybe the highlier subjects of Control Group (N=167) score, the highlier they compare in some standards.
　　By the right table 1, statistical categories of subjects and their answer patterns verified "Hypothesis (1)"

Table 1. Answer patterns of Question 1〜6 for CG of each Category

　　Hypothesis (2)
　　Maybe there don't exist meaningful differences between 5th grade pupils and 6th grade pupils (i.e. Control Group (N=167)) who don't take lessons in "Ratio" which I have proposed.
Hypothesis (3)
　　Maybe there exist meaningful differences between 5th grade pupils (i.e. Experimental Group (N=38)) who take lessons in "Ratio" which I have proposed and 5th grade pupils and 6th grade pupils (i.e. Control Group (N=167)) who don't take ones.
　　As the result of the investigation on Control Group (N=167), F-test and t-test verified "Hypothesis (2)" (i.e. F (100,67)≒2.005 > F (100,65), t≒1.896 < 1.98 (p≦.05)).
　　As the result of the investigation on Experimental Group (N=38) and Control Group (N=167), F-test and t-test verified "Hypothesis (3)" (i.e. F (37,166)≒2.170 > F (30,160), t≒5.635 * (* p≦.05)).
Hypothesis (4)
　　Maybe there exist obviously differences for comparison by "Ratio" between Experimental Group (N=38) and Control Group (N=167).
　　As the result of the investigation, the following table 2 verified "Hypothesis (3)."

Table 2. The percentage of comparison by "Ratio" between Experimental Group (N=38) and Control Group (N=167)