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I teach mathematics at MSc and PhD levels. My preferred method of teaching is old-fashioned: talking and writing on the blackboard at the same time.

Why? Because it has many advantages:

  1. Handwriting: imposes few restrictions on notation and illustration. (Complicated figures I could project from my laptop, but I have no need for this in my courses.)
  2. Flexibility: whenever this is useful, it is easy to 'deviate from the script'.
  3. Natural speed: it imposes a natural speed on the speaker. Preparing slides using LaTeX or PowerPoint and just clicking through them, I find myself proceeding way too fast.
  4. Parallel displays: having several boards available for writing makes it easy to keep some text/examples on display on one board, while writing on another.
  5. Dynamics: referring to information on the different boards allows me to move through the room, adding a more dynamic aspect to the lecture.
  6. Ease: it is a low-tech way of achieving all these things simultaneously with easily available means.

The main disadvantage of this method is that I spend a significant amount of time of each lecture with my back to the audience.

Question: What would you recommend as a means of communication that combines the six features above (most importantly, the handwriting and parallel displays), but facing the audience?

Obviously, a low-budget solution would be appreciated, but my institute is usually pretty generous in investing in technology that improves teaching, so don't let that restrict you!

What I tried: Many things, including writing by hand on tablets (iPads, Digital Paper, reMarkable, etc) and projecting this in the classroom. Perhaps I haven't found the optimal device for this yet, but it often comes out pixly, delayed, and less readable than my usual handwriting on paper or the blackboard. Using a document camera to project my handwriting on paper. Works well, but can project only about half an A4 paper at a time to keep it readable for people in the back of the room and, like other approaches, has the disadvantage of not having parallel displays: it's hugely important to be able to keep definitions, examples, theorems from earlier on for easy reference.

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closed as off-topic by Joel Reyes Noche, J W, JoeTaxpayer, Xander Henderson, Ben Crowell Mar 20 at 15:51

  • This question does not appear to be about teaching mathematics, within the scope defined in the help center.
If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ Also posted at Academia Stack Exchange. $\endgroup$ – Joel Reyes Noche Mar 20 at 8:31
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    $\begingroup$ I see that your question at Academia is currently on the Hot Network Questions list, so since it is not appropriate to have questions that are exact duplicates at different sites, I think it is better to close this question here. $\endgroup$ – Joel Reyes Noche Mar 20 at 11:10
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    $\begingroup$ I'm voting to close this question as off-topic because it is already asked at Academia Stack Exchange. $\endgroup$ – Joel Reyes Noche Mar 20 at 11:11
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    $\begingroup$ Makes sense. Too bad, though, because there are some subtle differences with math - but it's mentioned in the academia question, so hopefully answers will be good there. $\endgroup$ – kcrisman Mar 20 at 17:50
  • $\begingroup$ You can work with an overhead-projector, which projects on the blackboard or whiteboard, and write what you'd want to write on the blackboard, instead, on "transparencies" (which you'd be free to do in real time, and/or, with basic preparation ahead of a lecture.) You can then face the audience while writing on/using the transparencies. $\endgroup$ – Namaste Mar 23 at 20:02