The fizz when you stir is the CO2 being expelled - that expulsion is not itself a sign of any activity but your own but the production of the CO2 is an indication of the yeast's activity since CO2 is a byproduct of the alcohol being formed. To know how active your fermentation is you do really want to take gravity readings - and even if (IMO) they are not accurate because you are not able to get good readings that do not include CO2 gas in the sample, taking readings a day or so apart should still show a drop in the gravity as you can hypothesize that the same amount of CO2 is likely to be in each sample so any change in reading is likely to be coming from the increase in alcohol and drop in sugar content.. So while not necessarily accurate , your readings will still provide you with lots of very important information (whether there is a drop in gravity; how quickly it is dropping; how soon you are likely to need to rack into an airlock sealed carboy etc etc..)