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National Taiwan Normal University Course Outline Fall , 2025 |
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| I.Course information |
| Serial No. | 2599 | Course Level | Master / PhD |
| Course Code | MAC8028 | Chinese Course Name | 數學研究趨勢 |
| Course Name | Trend of Mathematics Research | ||
| Department | Department of Mathematics | ||
| Two/one semester | 1 | Req. / Sel. | Req. |
| Credits | 1.0 | Lecturing hours | Lecture hours: 1 |
| Prerequisite Course | The course can be retaken ◎1. This is a cross-level course and is available for junior and senior undergraduate students, master's students and PhD students. 2. If the listed course is a doctroal level course, it is only available for master's students and PhD students. | ||
| Comment | |||
| Course Description | |||
| Day & Class Period/Location | Wed. 7 Gongguan M212 | ||
| Curriculum Goals | Corresponding to the Departmental Core Goal | ||
| 1. Actively engage students in exploring the latest developments in all branches of mathematics |
Master: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-3 Being able to think mathematically and critically 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 1-5 Being able to use mathematics as tools to learn other subjects 2-1 Being able to communicate and express mathematically 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-5 Having good taste for mathematics 4-1 Being knowledgeable and being able to self-develop in the profession 4-2 Possessing a consistent and firm attitude toward pursuing truths 4-4 Possessing global views from both scientific and humanistic perspectives, and being able to appreciate the values of other knowledge fields Doctor: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-3 Being able to think mathematically and critically 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 1-5 Being able to use mathematics as tools to learn other subjects 2-1 Being able to communicate and express mathematically 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-5 Having good taste for mathematics 4-1 Being knowledgeable and being able to self-develop in the profession 4-2 Possessing a consistent and firm attitude toward pursuing truths 4-4 Possessing global views from both scientific and humanistic perspectives, and being able to appreciate the values of other knowledge fields |
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| 2. Expand the depth and breadth of students' knowledge of mathematics |
Master: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-3 Being able to think mathematically and critically 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 1-5 Being able to use mathematics as tools to learn other subjects 2-1 Being able to communicate and express mathematically 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-5 Having good taste for mathematics 4-1 Being knowledgeable and being able to self-develop in the profession 4-2 Possessing a consistent and firm attitude toward pursuing truths 4-4 Possessing global views from both scientific and humanistic perspectives, and being able to appreciate the values of other knowledge fields Doctor: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-3 Being able to think mathematically and critically 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 1-5 Being able to use mathematics as tools to learn other subjects 2-1 Being able to communicate and express mathematically 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-5 Having good taste for mathematics 4-1 Being knowledgeable and being able to self-develop in the profession 4-2 Possessing a consistent and firm attitude toward pursuing truths 4-4 Possessing global views from both scientific and humanistic perspectives, and being able to appreciate the values of other knowledge fields |
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| II. General Syllabus |
| Instructor(s) | Ulrich Menne/ 孟悟理 | ||
| Schedule | |||
In this course, external scholars give survey talks of various areas of mathematics and mathematical education. Each presentation starts out from a basic level (as shall be ensured by the lecturer of the course), gradually proceeds to a more advanced level, and is followed by a question session. The latter shall last at most five minutes in which every attendant may (but is not obliged to) ask questions to the speaker. Students take handwritten notes of the presentations. These notes shall contain the content of the blackboard and ideally some oral explanations from the speaker. Each week, the notes shall be collected and lots shall be drawn whose notes will be graded. Each student should expect to be selected around 3 times per term. Grading is based equally on attendance and collected notes, see below. |
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| Instructional Approach | |||
| Methods | Notes | ||
| Formal lecture | Presentations (usually blackboard) by external scholars. | ||
| Group discussion | Questions and discussions with speaker. | ||
| Grading assessment | |||
| Methods | Percentage | Notes | |
| Assignments | 50 % | Students shall take handwritten notes of the speakers' presentations. Randomly selected notes will be graded each week. Each student will be selected around three times per term for grading of the notes. | |
| Attendances | 50 % | Points are awarded in the proportion of attendance to total weeks (with excused absences subtracted). | |
| Required and Recommended Texts/Readings with References | Provided by the speakers. |
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