Do It Yourself Electricity/Electronics Kit.
You can make a kit of components using an iron washer for each connector, pole, both ends of each wire lead, etc. and use a magnet at each junction for the connection.
Solder a small washer at the end of each component terminal and several wire leads.
To make a circuit, you would use a magnet as the base of each intended junction, and stack the washers "piggy-back" on top of each other for in-line, two-way, and three-way, etc. connections.
The washers conduct and the magnet can keep the washers securely connected with magnetism. Washers need not be large and are a "dime-a-dozen."
You will need all the components plus a bag of small iron washers, hook-up wire, and as many magnets as there are connections. Add magnets as your projects increase in complexity.
You can "program" each of your projects by drawing the circuit diagram onto a sheet of cardboard with guidelines and symbols as to what goes where. Tape a magnet at each connection so they don't move around. What does the circuit do? Put the answer on the bottom of the card or under a flap for revealing the correct answer.