数学教育学报
數學教育學報
수학교육학보
JOURNAL OF MATHEMATICS EDUCATION
2013年
5期
57-61
,共5页
样本空间%可能性比较%认知发展%差异
樣本空間%可能性比較%認知髮展%差異
양본공간%가능성비교%인지발전%차이
sample space%possibility comparison%cognitive development%difference
考察11-14岁学生关于可能性比较的认知发展趋势、影响因素,以及认知发展的个体差异。研究表明,11-14岁的学生对可能性比较的认知经历了缓慢发展、倒退发展、停滞发展3个阶段;重复样本条件下,组合运算显著影响可能性的比较;学生的可能性比较水平存在学校类型、父母学历的差异。学生进行可能性大小比较时最容易出现的错误主要是:缺乏对可能性大小客观存在性的认识;重复样本条件下倾向于构造模糊的样本空间。
攷察11-14歲學生關于可能性比較的認知髮展趨勢、影響因素,以及認知髮展的箇體差異。研究錶明,11-14歲的學生對可能性比較的認知經歷瞭緩慢髮展、倒退髮展、停滯髮展3箇階段;重複樣本條件下,組閤運算顯著影響可能性的比較;學生的可能性比較水平存在學校類型、父母學歷的差異。學生進行可能性大小比較時最容易齣現的錯誤主要是:缺乏對可能性大小客觀存在性的認識;重複樣本條件下傾嚮于構造模糊的樣本空間。
고찰11-14세학생관우가능성비교적인지발전추세、영향인소,이급인지발전적개체차이。연구표명,11-14세적학생대가능성비교적인지경력료완만발전、도퇴발전、정체발전3개계단;중복양본조건하,조합운산현저영향가능성적비교;학생적가능성비교수평존재학교류형、부모학력적차이。학생진행가능성대소비교시최용역출현적착오주요시:결핍대가능성대소객관존재성적인식;중복양본조건하경향우구조모호적양본공간。
This research examined the 11 to 14 year-old students on possibility comparison from aspects as cognitive development trends, influencing factors and the individual differences of cognitive development. The study showed that 11 to 14-year-old students’ cognitions of possibility comparison experience three phases:slow development, retrogressive development and stagnant development;under duplicate samples conditions, the combinatorial computing significantly affects the comparison of possibility;students’ levels of possibility comparison differ in school types and parents’ educational backgrounds. The mistakes students are most likely to make when making comparison of possibility are:lack of understanding of the objective existence of possibility;under duplicate samples conditions, students tend to construct vague sample space.