Newbie in need of a lot of help to get started

I have what I think is a very simple application but being such a newbie am absolutly lost with the terminology.

For a scale RC project, I need to:-

Use my 2.4 gHz RC Transmitter radio stick via a receiver on the model to control a stepper motor.
The motor will need to rotate ~20 times as the stick is moved from low to high.
The speed of the rotation is in relation to the speed I move the stick.
I need to be able to “program” the number of rotations, it might be I need more than 20 rotations.
When the stick is moved high to low, the motor must reverse direction and rotate back to its’s starting position when low stick is reached.

I am overwhelmed by the micro controllers, motor drivers and stepper motor options and motor option combinations available,

I am hoping you will be able to suggest a basic list of parts I will need at a minimum just to get me started, I tried to read up on this but am getting more and more lost.

The motor will have a very light load so does not have to be all that powerful, Space is limited so the smaller the motor / Control parts the better.
I can provide 5-52V onboard.

Thanks for reading and any suggestions (even a link to more reading) would be very welcome.

Thank You.

From your description, we understand you need the following: A motor that turns n times forward or reverse when triggered by a wireless remote.

The simplest way of doing this is by using a stepper motor (that can be driven in however many discrete steps you may want).

In order to control the stepper motor you will need to use a stepper motor controller and a microcontroller. The motor controller is used to drive the high-power motor leads using the low-power microcontroller signals; the microcontroller is used to count the steps and command the motor to move accordingly.

The microcontroller can also read you RC signals and interpret them in order to command the motor.

These are the parts we recommend:

]Arduino/:m]
]Motor controller shield/:m]
]Stepper motor/:m]
Of course, you will need a power source, but that will depend on your project.

Arduino is the most straight forward microcontroller in the way of connections and programming, you will find all the material needed at arduino.cc/