ABOUT THE ASSESSMENT OF PHYSICAL, MATHEMATICAL AND COMPUTATIONAL COMPLEXITY OF PHYSICS TASKS

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Abstract

The effective method of developing students' physical thinking consists in solving specially selected tasks presented by the teacher in accordance with the principle «from simple to complex». Therefore, the development of methods for assessing the didactic complexity of physical tasks is an urgent problem of didactics. Its resolution will optimize the learning process and knowledge control, quickly and correctly determine the didactic complexity of tasks for the Unified State Exam, physical Olympiads, various task books and test materials. It is established that the didactic complexity of the physics tasks consists of physical, mathematical and computational complexity. To evaluate the numerical components of complexity, it is necessary: 1) formulate the task condition so that it briefly and at the same time fully reflects the analyzed physical situ-ation; 2) write out 5 key terms – the most complex scientific concepts used in solving the physics task; 3) write down the formulas used and the result obtained in general form; 4) create a file in which physical formulas, mathematical reasoning, calculations are verbally encoded in the form of separate sentences; 5) analyze the text file using the special program, determine the overall semantic complexity and the coefficient of in-formation folding; 6) calculate the physical, mathematical and computational complexity by summing up the complexity of the corresponding terms and ordinary words. This will determine the didactic complexity of the task. The article presents examples of the proposed method use, analyzed the results.
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关于物理任务的物理、数学和计算复杂性的评估
培养学生物理思维的有效方法是按照“由简单到复杂”的原则,解决教师提出的特定任务。因此,发展评估物理任务教学复杂性的方法是教学学的一个紧迫问题。其解决方案将优化学习过程和知识控制,快速、正确地确定国家统一考试、奥林匹克体育竞赛、各种任务书和测试材料的教学任务复杂性。建立了物理任务的教学复杂性包括物理复杂性、数学复杂性和计算复杂性。为了评估复杂性的数值分量,需要:1)制定任务条件,使其简单而又充分地反映所分析的物理情况;2)写出5个关键术语——解决物理任务中使用的最复杂的科学概念;3)用一般形式写出所用公式和所得结果;4)创建一个文件,其中物理公式、数学推理、计算以单独句子的形式进行口头编码;5)利用专用程序对文本文件进行分析,确定整体语义复杂度和信息折叠系数;6)通过对相应术语和普通单词的复杂度求和,计算出物理、数学和计算复杂度。这将决定任务教学的复杂性。文中给出了该方法的应用实例,并对结果进行了分析。
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