Delft University of Technology (TU Delft) and Grasple have worked together to make Linear Algebra content available to everyone for free. 535 online exercises have been made available under a Creative Commons license at www.grasple.com/math/linear-algebra/ and can be accessed by anyone without the need to log in.
TU Delft has decided to release their entire collection of 535 online exercises on Linear Algebra under Creative Commons-license (CC-BY-NC-SA). All exercises have been created and reviewed by TU Delft lecturers. They are used by the staff of the Delft Institute of Applied Mathematics (DIAM) in all the undergraduate Linear Algebra courses in interfaculty education, developed in the Programme of Innovation In Mathematics Education (PRIME) at TU Delft.
At Grasple, we’re very excited that TU Delft has decided to take this step and we’re honored to have been chosen to host the exercises such that anyone with an internet connection can practice Linear Algebra. Together, step by step, we can help everyone in the world to enjoy high-quality education!
In this article, you can read more about:
Want to explore if the exercises may fit your course? The best thing to do is to check out the collection and try the exercises yourself!
Visit www.grasple.com/math/linear-algebra/ and you can browse each subject.
Overview of the collection
Christophe, one of the lecturers who created the exercises in the collection:
“We are happy that many of the exercises are parameterized. This has two advantages:
Christophe: “Using Grasple’s newer functionalities, the exercises have become more diverse. For instance, we now also ask students to provide ‘counterexamples’ to statements. They can give an infinite amount of correct answers, Grasple checks if it matches the requirements that are provided.”
See one of the the counterexamples in action below
A counterexample exercise from the new open Linear Algebra collection. Check it out yourself here.
“It is important that materials are shared with as many like-minded colleagues as possible. It can increase opportunities and equity for both students and teachers all around the world.”
– Annoesjka Cabo, Director of studies, interfaculty education at Delft University of Technology
Annoesjka Cabo, Director of Studies of the interfaculty math education at TU Delft on why TU Delft did decide to open up this collection for the public:
“It is important that materials are shared with as many like-minded colleagues as possible. This increases the community feeling and mutual trust. By sharing and reusing materials, the quality and thus the experience for students improves. Our vision at TU Delft is to ‘educate the world’. That is also possible by releasing large collections of open exercises. It can increase opportunities and equity for both students and teachers all around the world.”
Ilse Bakker, the coordinator of the ongoing curation and staff member of PRIME: “At TU Delft, students use the Linear Algebra exercises as pre- and post-lecture homework exercises. In the pre-lecture exercises, prior knowledge is being activated and students answer questions about the pre-lecture video they are expected to watch before the lecture. In the post-lecture exercises, students practice the topics that were addressed during the lecture.”
How was the collection created and how has the quality been checked?
For 12 weeks, lecturers Iris, Christophe, and Hans came together under the coordination of Ilse. Every team member spent approximately six hours per week creating and reviewing exercises. Some of the exercises were recycled from older OpenCourseWare exercises, but the largest part was created from scratch.
Christophe: “If other lecturers and students think the exercises are useful, that would be a wonderful additional benefit. Hopefully, it will stimulate others to reuse or review the exercises, or create additional repositories and make those open as well.”
Ilse: “We have tried to create a comprehensive collection of exercises for typical topics in a Linear Algebra course. You can create your own selection that matches your course. Perhaps you find it beneficial to add more hints or feedback. Please feel free to do so.
You may also want to check out the new answer checks that Grasple has made available the past weeks. They offer a lot of creative ways to create new types of exercises and personalized feedback.
We’d be very happy to hear if you choose to reuse parts of the collection. If you have any feedback on how the exercises can be improved or extended, please let us know as well. We hope you enjoy the materials!”
Annoesjka: “I would like to thank Christophe Smet, Iris Smit, Hans Verheij and the rest of the DIAM team, as well as Ilse Bakker and all the student assistants of the PRIME team, for creating and still actively curating the exercises and making them openly available for everyone.”
The TU Delft and Grasple team celebrating open education
At Grasple, we are very excited to see educators like Christophe, Iris, Hans, and Ilse work together to help students practice difficult concepts in topics like Linear Algebra and to see them share the results of their hard labor with everyone in the world.
Together, step by step, we can help everyone in the world to enjoy high-quality education!
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