With number two, I confess, somewhat more complicated. The idea seems to be clear, but the principle of operation of this digital thing and, most importantly, how to demonstrate something to students in this way (this is a tutorial) - thunder, I don’t understand.
Here is the translation of the original article:
Horton's Study Room
Infrequently, devices with a name that is so difficult to pronounce it represent something, but it does. It is a machine six feet high, five feet long and ten inches wide, with the ability to demonstrate 373 191 840 arithmetic examples for multiplication, division, percent calculation, etc. The cabinet-type machine is designed to save time for math teachers who can simply press the lever to manipulate fifteen numbers arranged in ten columns. Millions of numerical combinations occur consistently, with the result that errors are impossible, demonstration of an example, like the calculation itself, is carried out at lightning speed, and the teacher is relieved of writing numbers, so he pays more attention to explanations.
Almost all the details of the Horton's numerological cabinet are steel, although for reasons of design or economy they can be made of wood. The sizes are also possible different: at the office shown in the figure, the numbers are so large and clear that they can be read 90 feet away.
The figure shows the lever “A”, with which 74,046 different numerical combinations are achieved, and the lever “B”, which produces 5,040 combinations. When manipulating both levers, the number of combinations increases. "C" and "E" - the curtains, with which you can adjust the height and length of the speakers, and "D" - a pulley with a cord that stretches to the "C".
The numerological study is the invention of the teacher of calligraphy
L.K. Horton from New York. It seems to us that a firm should be organized to produce and promote this miracle of human acumen.
Source ofHorton's numerological machine reminded me of another device for teachers of mathematics, a domestic one, and at least an understandable construction: an
arithmetic box .

How with the help of cubes you can learn mathematics, I also have little idea. Well, if only the initial account in the kindergarten ... Although it is possible that I am in the most cruel and amateurish way mistaken about both devices. I have problems with English (as a result, the translation is not only abbreviated, but also, let's say, artistic), and with a technical overview, the clinic is generally. Plus an illegible text of the original, with which only the eyes are broken. Therefore, I do not mind at all if they correct me.