通过学习数学类比来培养学生的理性力量

Rahayu Kariadinata
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引用次数: 16

摘要

学习数学类比是另一种学习方法,可以用来培养学生的理性能力。通过数学类比,要求学生能够通过比较找出两个概念相同或不同的相似性或关系本质,然后从相似性中得出结论。因此,类比可以用作解释或作为推理的基础。在开始类比学习数学之前,教师应该考察学生理解数学概念的能力,因为学生的理解水平会影响推理的能力。任务(问题)数学类比包含了非常规事项,因此要求教师做好准备。每道题中都包含数学类比或相同或不同的概念,因此需要大量的材料。关于数学类比的步骤是:a)将学生所学的所有数学概念集合起来;b)任何概念中包含的相似堆叠属性/关系,c)选择具有类似性质/关系的材料。本文给出了物质数学类比的两种形式,即数学模型类比1和数学模型类比2。学习数学类比应该在学习了一些概念之后进行。最好是在课堂结束时给出许多学生已经学过的概念。推理能力(推理能力)学生成为学习过程中的重要组成部分,以推动他们走向未来,因为公民是聪明的,这将由理性的力量(大脑)而不仅仅是力量(肌肉)来引导。正如美国前总统托马斯·杰斐逊所指出的那样(在Copi, 1978: vii),他指出:“在一个共和国家,其公民是由理性和说服而不是武力来领导的,推理的艺术变得第一重要。”
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Menumbuhkan Daya Nalar ( Power of Reason ) Siswa Melalui Pembelajaran Analogi Matematika
Learning mathematical analogy is one alternative learning that can be applied in order to cultivate the power of reason (power of reason) students. Through mathematical analogy students are required to be able to look for similarities or relationship nature of the two concepts are the same or different by comparison, then draw a conclusion from the similitude. Thus the analogy can be used as an explanation or as the basis of reasoning. Before starting the analogy of learning mathematics, teachers should examine the ability of understanding mathematical concepts of students, because of the level of understanding of students will affect the power of reason. Tasks (problems) mathematical analogy included non-routine matter, therefore the required readiness of teachers to make it. In each question contained mathematical analogy same or different concepts, so it takes quite a lot of material. Steps to make about the mathematical analogy, are: a) assemble all the concepts in mathematics student has learned; b) Similarly stacking properties / relationships contained in any concept, and c) select materials that have a nature / relationship analogous. In this paper is given two forms of matter of mathematical analogy is the analogy of mathematical models and mathematical analogy 1 models 2. Learning mathematical analogy should be carried out after a number of concepts learned. It is better to be given in classes end for many of the concepts that have been learned by the students. Reasoning power (power of reason) the student becomes an important part in the process of learning to drive them toward their future as citizens are intelligent, which will be led by the power of reason (the brain) and not by the strength (muscle) only. As noted by former US President Thomas Jefferson (in Copi, 1978: vii), which states: "In a republican nation, Whose citizens are to be led by reason and persuasion and not by force, the art of reasoning Becomes of first importance"
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CiteScore
2.30
自引率
0.00%
发文量
26
审稿时长
10 weeks
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