Should I ignore him to get his attention or will it even work?

I am 25 years old, so not some teenager just dating, although I am new to the dating scene again after splitting with my ex whom I have a child with. I have been casually dating a guy for about a month, nothing serious, but we have gone on dates, hung out with mutual friends, and slept together. Recently he has been extremely "busy", he says and I just wonder how true this is or if I am just over reacting. he just doesn't seem to have the time he did anymore and I just wonder if things started to get too heavy with us so he's backing off or if its others girls or what. I don't really need an opinion on that, I just am thinking about backing off and kinda letting him chase me and wondering if this is the best option. I have confronted him about the issue and kinda gave his the chance to say he wanted to end things or not, and he said he didn't and he would try to give me the attention I deserve etc but still I am not satisfied. I feel like I am always the one calling him first or asking him to do things, but then he doesn't and I just want him to call me and ask me to do things, etc. I am thinking of maybe just always letting him call me first, or texting, and I will always respond but nothing overboard and just casual talk to kinda seemed backed off of him. Then also not ask him to do anything, let him if he wants to see me. Do you think this will help or hurt things? I know men or weird creatures and I wonder if it will make him try harder towards me or just make the relationship all together filter out.