A lot of the confusion surrounding apertures relates to the various terms used to describe them. They are often ambiguous, contradictory, and sometimes incorrectly mixed up.
The aperture is the size of the hole through which light passes to the sensor. The bigger the hole, the 'brighter' the light reaching the sensor and this is expressed as an f/number. Brighter apertures are known variously as larger, bigger, wider, faster, more open, lower f/number, smaller f/number.
At the opposite end of the scale, the smaller the hole, the the 'darker' the light. Darker apertures are known as smaller, slower, more closed, higher f/number, bigger f/number. Fun isn't it
The other thing is that the relationship between different f/numbers is not obvious. Although they are all linked by the halving/doubling principle that is obvious with shutter speeds and ISO (the other two factors affecting exposure) it is not immediately evident that, for example, f/4 is twice as bright as f/5.6. The key to this conundrum is that the square root of 2 is used, ie approximately 1.4, therefore 4 x 1.4 = 5.6.
The full range of apertures commonly used is f/1.4, f/2, f/2.8, f/4, f/5.6, f/8, f/11, f/16, f/22. Each one is either half or double the brightness of the number either side which explains why a shutter speed of 1/125sec at f/5.6 exposes the sensor to the same total amount of light as 1/250sec at f/4, or 1/500sec at f/2.8, and so on. You also hear intermediate f/numbers used, like f/3.5 or f/6.3, which can be used to mix and match with intermediate shutter speeds.
Furthermore, apertures and f/numbers are also known as 'stops' (historical term) and this term is now commonly used to refer to any halving or doubling of any aspect of exposure value, be it f/number, shutter speed or ISO setting. Technically that is wrong I guess, but it's been universally adopted.
There is no easy way around understanding all this jargon. You just have to learn it, but once you understand the principles you can usually make sense of it. For example, when you hear someone say open up a stop, or use a wider aperture, use a bigger aperture, use a smaller f/number, use a faster stop, use a lower f/number - all these mean (probably!) to use a brighter aperture.