While in another thread, I wrote this post on what rules schematic drawings should follow. This is not intended to be hard and fast. It is more like general guidance and sits on many years of work in electronics on my part OBSERVING the work of others. And it certainly is not the only way to produce a good schematic. But it does voice many of the principles that I have observed over those years. Virtually nothing here is/was an original idea on my part. OK, here it is:
First, what is a schematic? Or perhaps, what is NOT a schematic? Pictorial drawings with a representation of the physical appearance of the parts and with wires drawn to scale (big ones wider and small ones smaller) and in an expected appearance (rat's nest) when the parts are assembled is not a schematic. It may help beginners to identify the wires and where they go, but it does little or nothing to aid in understanding how the circuit works. This includes things like Fritzing. Then there are "hook-up" drawings which may show items as rectangular blocks and the wires between them, but little or nothing of what is in those parts. This may be needed, but it is not a schematic.
A schematic is a drawing of all the individual parts of a circuit. It is made with standard and easily understood symbols for those parts. And it shows all the wires or circuit paths between those parts. And it should be arranged to allow the viewer to UNDERSTAND the operation of the circuit with the least amount of effort on his or her part. That last part is very important and it distinguishes a good schematic from a rat's nest of parts and wiring that leaves the observer more confused instead of less. In short, a good schematic rapidly conveys HOW the circuit WORKS.
Drawing "proper" schematics is an art form, but with RULES. Yes, proper symbols are needed, as was brought out elsewhere. Nothing can be more confusing than a poor symbol. But there is much more.
Signal Flow:
The signal(s) should flow from LEFT to RIGHT and from TOP to BOTTOM. If possible, all inputs should be on the left and all outputs on the right. If they must be in the middle, then the same, LEFT to RIGHT convention should be followed: Text identifying the input and it's origin on the left, then the connector it comes in on, then the signal trace, and finally, at the right most point of this input circuit, the device it enters. Outputs that must be in the middle would be the reverse order, but the flow is still left to right.
I have seen schematics where the left to right was not wide enough, in spite of 24" or wider paper. So the signals were brought back to the left with long traces that also served to divide the top and bottom segments of the schematic. Those signal traces should not be crossed by other signals, if possible. Let them serve to divide the schematic in half. Then the left to right flow was continued on the bottom of the page. This made the overall circuit easier to understand.
Sometimes blocks are needed but they should be arranged left to right and top to bottom. Go with the flow!
Power:
Positive supply lines on top. Negative supply lines on bottom. Ground also on bottom or in middle if there is a negative supply. Actually draw the power busses instead of just sprinkling "+__" and "-__" and "Gnd" tags all over the place. Power also flows from left to right and top to bottom, just like signals. This becomes enormously more important when making large, complicated schematics with hundreds and hundreds of parts on one page. However, if you must use the tags, then follow the top and bottom rules.
Other rules?
Many modern components have a large number of connections. I like component blocks to have the +Voltages on top and the -Voltages and/or Ground on the bottom. That's it for top and bottom. Inputs on the left and outputs on the right. If a pin can't be classified as either an in or an out, then some judgement is needed. I suppose if it connects to +V it could be on the top. Or if to -V or Ground, then it could be on the bottom. The 555 timer has an external arrangement of Rs and C which is a good example of pins that should be on the left.
That's my two cents worth. Again, not carved in stone, but general guidance. I am sure there will be other opinions. And additional rules.
Let the games begin.