印度尼西亚南苏门答腊PGRI大学实分析课程教学面临的挑战
Challenges in teaching Real Analysis classes at the University of PGRI, South Sumatra, Indonesia
摘要：
本文讨论了我们的经验和挑战，在教高年级本科实分析类数学教育的学生在大学PGRI（印尼教师协会）巨港，南苏门答腊，印度尼西亚。我们注意到，教学大纲中的题目对教育专业和打算在中学教数学的学生来说难度很高。传统的讲授方法主要在课堂上实施，该方法有一些可能的变体，包括德克萨斯方法（也称为摩尔方法）和小组指导发现方法。特别是，后一种方法已成功地实施了实分析类在达特茅斯学院，新罕布什尔州Dumitrajeccu在2006年。虽然采用一种能够容纳大量学生的特定教学方法确实是一个挑战，但现有的教学活动仍然可以改进，未来可以实施更有效的方法。此外，课程内容亦应配合数学教育界的人士，为他们日后担任数学教师作好准备。任何建设性的意见，欢迎我们的数学教育体系的改进，在大学以及在全国范围内。
英文摘要：
This paper discusses our experiences and challenges in teaching advanced undergraduate Real Analysis classes for Mathematics Education students at the University of PGRI (Persatuan Guru Republik Indonesia, Indonesian Teachers Association) Palembang, South Sumatra, Indonesia. We observe that the syllabus contains topics with a high level of difficulty for the students who are specialized in education and intend to teach mathematics at the secondary level. The conventional lecturing method is mainly implemented during the class, with some possible variations of the method, including the Texas method (also known as Moore's method) and the small group guided discovery method. In particular, the latter method has been implemented successfully for a Real Analysis class at Dartmouth College, New Hampshire by Dumitraşcu in 2006. Although it is a real challenge to apply a specific teaching method that will be able to accommodate a large number of students, the existing teaching activities can still be improved and a more effective method could be implemented in the future. Furthermore, the curriculum contents should be adapted for an audience in Mathematics Education to equip them for their future career as mathematics teachers. Any constructive suggestions are welcome for the improvement of our mathematics education system at the university as well as on the national scale.
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