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A potential instructional theory for meaning of minus sign

机译:负号含义的潜在教学理论

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This study presents the results of teaching experiment of 7th-grade students about the meaning of the minus sign as the initial knowledge toward the concept of negative integers and its operations. A hypothetical learning trajectory (HLT) was designed on the basis of findings in a preliminary study showing that most students did not understand the meaning of the minus sign that resulted in students' ability in operations involving negative integers. Implementation and revision of HLT were carried out by involving 32 seventh grade students and a math teacher by taking into account the stages of the didactical situation. Furthermore, group learning can encourage students to identify the meaning of minus sign encountered in a context. All data in the form of learning video recording, interview, and students worksheet are analyzed qualitatively based on the perspective of the theory of didactical situation to get the instruction design according to the condition and requirement of the students. The learning practices indicate that the students can differentiate the meaning of the minus sign according to the context of the given problem.
机译:本研究提供了有关负整数的含义作为负整数及其操作的基础知识的七年级学生的教学实验结果。根据初步研究的结果设计了一个假设的学习轨迹(HLT),该研究表明大多数学生不了解减号的含义,该减号导致学生进行涉及负整数的运算能力。 HLT的实施和修订由32位七年级学生和一位数学老师参与,并考虑了教学情况的各个阶段。此外,小组学习可以鼓励学生识别在上下文中遇到的减号的含义。基于教学情境理论的观点,对学习录像,访谈和学生工作表形式的所有数据进行定性分析,以根据学生的情况和要求进行教学设计。学习实践表明,学生可以根据给定问题的上下文来区分减号的含义。

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