One piece of classroom technology that I really like is audience response systems / keypads. In a physical classroom, every seat has a keypad that allow the listener to press a key and, for example,
"raise a hand" to ask a question - it's actually easier done now if the talk is delievered via Zoom or Webex than in person, especially in a calculus section with over 50 students.
respond to a multiple choice survey, or vote.
anonymously ask the speaker to speed up or to slow down and provide more detail.
The keypads can transmit the information through wires or radio. If you google "Audience response system", you'll see a few choices.
Many people (not necessarily me) like to have a "document camera" in the classroom that looks down on a horizonal whiteboard. (Again, google it for a few choices). It is intended to let the speaker put a book or paper notes on the whiteboard, and have the image show on the big screen(s), and also to the remote audience. Some people who use such cameras also like to write on the horizontal whiteboard as they speak, and the audience can see it better on screen than on a traditional vertical board on a wall.
Of course most people have their notes and slide decks as computer files these days, rather than as a stack of papers / transparencies. The standard that everyone expects is - the seminar speaker brings a USB-A flash drive, with the slide deck as an Adobe pdf or Microsoft Powerpoint (or LibreOffice Impress etc) presentation. The flash drive is mounted into a USB-A port of a Windows computer in the classroom, which casts the presentation to a big screen. Usually, the presenter holds a wireles "clicker" with slide show controls for "next slide" and "previous slide". A very fancy clicker also allows the presenter to point at things on ths screen (a pjhysical laser pointer does not work well for remote audience).
There are 2 problems with this traditional approach:
Microsoft Powerpont under Windows often does not display 100% correctly presentations created on other platforms. For this and other reasons, it's usually better to make slides in LaTeX and to output pdf (don't expect the classroom computer to be able to read a dvi file).
Some presenters want to bring their own devices and to display, for example, Mathematica animations, or their live interactions with a web server. There are 2 ways to accomplish this:
provide an HDMI port. The presenter can feed whatever video and audio into the port through an HDMI cable and have it shown on the large screen and loudspeakers and broadcast to the remote audience.
allow the presenter to install client software on their device (again, google, there are several choices) that will allow the presenter to connect to a school server over wifi and cast whatever audio and video is on their device.
Depending on the size and shape of the classroom, consider having several large screens showing the same slides, so that from every seat, at least one screen is clearly visible.
The presenter should be able to attach a wireless microphone to their clothes, and have their voice sent wirelessly to loudspeakers around the classroom and to the remote audience. ideally, the presenter should be able to change the loudspeaker volume. You may want to talk to an ADA expert on how to make the large screens and the loudspeakers more friendly to vision / hearing impaired audiences (google T-coils).