History of Mathematics 2: Expeditions into Mathematics in the Making, Research, and Uses of History for Teaching (Hist2)

Course content

The students will be introduced to

  • Mathematics in the making: History of mathematics as a place where one can get experiences with production of new mathematical knowledge.
  • History of mathematics as a research discipline.
  • The role of (or uses of) history of mathematics in the teaching of mathematics in high school.

 

These three themes will be discussed in the lectures and student seminars within the framework of the history of a specific subject area in mathematics. In 2021-22 it will be analysis.

In the student seminars and the project work of the course, students can tailor the course towards their specific interests: getting some knowledge about “mathematics in the making” (mathematical research), explore history of mathematics as a research discipline, or learning about how history of mathematics can be used in mathematics teaching in high school.

We will read mathematical texts from the past, recent papers in history of mathematics and in didactics of mathematics, and give lectures and student seminars related to the texts and papers. There will be a project work where students can focus on one of the three themes after their own choice. It is recommended that the project work be done in groups.  

Education

MSc Programme in Mathematics

Learning outcome

Knowledge:

After having completed the course, the student will have a rather deep knowledge of the history of mathematical analysis, how mathematics grow, historiography and the role and/or use of history in mathematics education.

 

Skills:

After having completed the course the student will be able to

1. Read past mathematical texts on analysis.

2. Find primary and secondary literature on the subject of the course.

3. Use history of mathematics in the teaching of mathematics in high school.

 

Competences:

After having completed the course the student will be able to

  1. Communicate orally as well as in written form about the selected topic from the history of mathematics (history of analysis).
  2. Analyse a primary historical text (if necessary in translation) within the subject of the course, and more generally to reflect on “mathematics in the making” in relation to the selected topic.
  3. Analyse, evaluate and discuss a secondary historical text on the subject of the course, and more generally reflect on history of mathematics as a research discipline.
  4. Use the historical topic of the course in connection with mathematics teaching, and more generally reflect on the role and use of the history of the selected topic in mathematics teaching in high school.

Lectures, student seminars and supervision for the project work.

Mathematical texts from the past (in English translation), recent papers in history and didactics of mathematics.

Hist1 is usefull but not necessary. Moreover Analysis 1 or similar.

Academic qualifications equivalent to a BSc degree is recommended.

The course is identical to the discontinued course NMAK15016U History of Mathematics 2 (Hist2). Therefore you cannot register for NMAK21004U - History of Mathematics 2: Expeditions into Mathematics in the Making, Research, and Uses of History for Teaching (Hist2), if you have already passed NMAK15016U History of Mathematics 2 (Hist2).
If you are registered with examination attempts in NMAK15016U History of Mathematics 2 (Hist2) without having passed the course, you have to use your last examination attempts to pass the exam in NMAK21004U - History of Mathematics 2: Expeditions into Mathematics in the Making, Research, and Uses of History for Teaching (Hist2). You have a total of three examination attempts.

Oral
Continuous feedback during the course of the semester
Peer feedback (Students give each other feedback)

Oral feed-back will be given during  the studen seminars. Peer-feedback will be given on the project work. Feed-back will be give at the supervision sessions on the project work.

 

ECTS
7,5 ECTS
Type of assessment
Oral examination, 30 minutes
The student will start the exam by giving a 10 minutes presentation of the project. The rest of the examination will take point of departure in the student's project work from where the relevant themes will be discussed.
Aid
Only certain aids allowed

During the exam the student is allowed to consult a note with at most 20 words. Other aids are not permitted.

Marking scale
7-point grading scale
Censorship form
External censorship
Criteria for exam assessment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 12
  • Preparation
  • 137,5
  • Theory exercises
  • 8
  • Project work
  • 40
  • Guidance
  • 8
  • Exam
  • 0,5
  • English
  • 206,0