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Studying Mathematics in Germany: An Insightful Abroad Experience

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This overview details my enriching experience studying mathematics at the University of Kassel in Germany. It explores the German education system, the structure of math courses like Linear Algebra and Geometry, and my personal university life, including large lectures and unique teaching methods. I’ll discuss educational standards, the complexity of math skills, and the benefits of studying abroad. From hands-on experiments, such as calculating the thickness of a soap bubble, to problem-solving and mathematical reasoning, discover how this journey has broadened my perspective and enhanced my education.

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Studying Mathematics in Germany: An Insightful Abroad Experience

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  1. Math in Germany • Susan Nelson ’11

  2. Overview • My abroad experience • University life • German education system • Math education classes • Benefits to studying abroad

  3. My abroad experience • University of Kassel • Courses • Linear Algebra • Geometry • Math teaching methods I • Math teaching methods on the secondary level

  4. My abroad experience

  5. University Life • linear unabhängig…..linear independent • Senkrecht….perpendicular • Hintereinanderausführung….composition (f ◦ g) Ein Trinkhalm (s. Bild) wird in Seifenlauge getaucht und wieder herausgezogen. Dabei bildet sich in ihm ein Pfropfen. Nun wird daraus eine Seifenblase mit etwa 8 cm Durchmesser geblasen. Wie dick wird die Seifenblasenhaut ungefähr sein?

  6. University Life Fläche (area or surface) Klein Bottle Flasche (bottle)

  7. University Life • Lectures • Large classes • Classes met once a week for 2 hours • Chalkboards • Professor-student relationship • Grading • Final exam worth entire grade • Homework sets due once a week

  8. German Education System

  9. Math Education Classes In 2001, base-jumper Felix Baumgartner landed on top of a flying hot air balloon. About how many liters of air are filling this hot air balloon? There is a circle with the circumference of 5.3 inches. What is the area?

  10. Math Education Classes A straw is dipped in detergent and then brought out again (see picture). The detergent is then blown out of the straw to form a bubble with a diameter of 8 cm. How thick will the bubble be? There is a circle with the circumference of 5.3 inches. What is the area?

  11. Levels of Complexity Skills Math Education Classes • Bildungsstandards (educational standards/goals) • Mathematical skills • Levels of complexity

  12. Math Education Classes • Bildungsstandards (educational standards/goals) • Skills • Mathematical reasoning • Problem solving • Modeling • Using tables/graphs/figures • Working with mathematical symbols/formulas • Mathematical communication

  13. Math Education Classes

  14. Math Education Classes • Bildungsstandards (educational standards/goals) • Complexity levels • Low • Medium • High

  15. Levels of Complexity Skills Math Education Classes Bildungsstandards Minnesota Standards

  16. Why Study Abroad? • New perspectives/ideas • New people • New experiences

  17. Any Questions/Comments?

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