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空间几何问题解决过程中工作记忆资源分配策略的个体差异

Individual Difference of Distribution Strategy of the Working Memory Resources in the Solution of Solid Geometry Problems

【作者】 王小丹

【导师】 连四清;

【作者基本信息】 首都师范大学 , 课程与教学论, 2006, 硕士

【摘要】 本文以某中学高二数学学优生15名和数学学困生15名为被试,以两道高考数学北京试卷中的立体几何题目的解题过程为实验材料,对中学生工作记忆资源分配策略进行了考察;着重研究了认知负荷对中学生空间问题解决过程中工作记忆资源分配策略的影响,实验结果表明:(1)随着认知负荷的增大,两组被试首次内部思考时间都呈现增加的趋势,但是在解答简单题时,学优生与学困生的首次内部思考时间没有显著差异;在解答中等题和难题时,学优生趋向于在较短时间内使用首次内部思考策略,而学困生则倾向于在较长时间内使用首次内部思考策略。(2)随着认知负荷的增大,两组被试在解题过程中使用外部策略的总频数呈现不同的特点,学优生使用外部策略的总频数的平均值呈增加的趋势,分别是9次,11次和20次,能够适当的增加外部策略的使用来分配认知负荷强度,而学困生的相应数据分别22次、20次和10次,呈下降的趋势,表现为在简单题、中等题上使用过多的外部策略;(3)随着认知负荷的增大,学优生在解题过程中用于内部思考时间的比率总体呈现降低的趋势,即内部思考策略所用时间占整个解题时间的比率随认知负荷的加大而减少,但是学困生则相反;(4)随着认知负荷的增大,学优生和学困生的内外部策略转换系数都在减小,这表明,无论是学优生还是学困生,工作记忆资源分配策略的选择和应用受到了认知负荷的影响。但是无论是简单题、中等题还是难题,学优生的内外策略转换系数均显著高于学困生。这表明:学优生可以更合理地使用工作记忆资源。

【Abstract】 Experiment was conducted among 15 students from the advanced group and another 15 from the less advanced group of Senior Two of a certain high school. The experiment materials were taken from the resolving process of several solid geometry exercises in the mathematic exam papers for higher education entrance examination of Beijing City. The experiment surveyed the distribution strategy of the work memory resources in the process of solving the exercises of space geometry. The study focused on the impact of cognition load toward distribution strategy of the work memory resources in the process of solving the exercises of space geometry, in the course of which it also showed concern on the individual difference of each data target. The experiment results showed that: (1) Along with the increase of cognition load, the two experiment groups had an upward tendency in the time of initial inner thinking. However, in solving the simpler problems, there were no significant difference between the advanced group and the less advanced group in the time of initial inner thinking. In solving questions of average difficulty and top difficulty, the advanced group tends to use initial inner thinking strategy within a shorter period of time, whereas the less advanced group longer. (2) Along with the increases of cognition load, the two groups had different features in using the external strategy in the course of problem-solving. The average value of advanced group using the external strategies tends upward, respectively 9, 11 and 20 times, capable of increasing external strategy to allocate the intensity of cognition load, whereas the data of the less advanced group are respectively 22, 20 and 10 times, showing an downward tendency, which displayed over use of external strategies in solving simpler and average problems. (3) Along with the increases of the cognition load, the advanced group had a downward tendency in using the inner thinking time in the course of problem-solving, i.e. the time used in inner

  • 【分类号】G633.63
  • 【被引频次】1
  • 【下载频次】212
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