I miss my ex. Now what?

My ex and I were only together for 4 months but I was so happy when I was with him. He was happy too. Until we both shared that our feelings for one another were more than we expected them to be so soon. I didn't see a problem with it bc I take things as they come. Just bc I didn't plan on having feelings for him didn't mean I didn't enjoy those feelings. However, he has a lot of walls up and was very afraid......of love I think. I know he had been hurt in the past and bc of that he made it hard, at times, to get close to him. One day he brought up having children and the only way I'm able to have them is via IVF. He said he needed some time to think about it. I told him to take as much time as he needed. That was a Thursday. On Saturday morning he sent a text asking to see me, but bc I had to work we had to wait until the next day to meet. I went to his house that Sunday and he told me that te only thing he was sure of was that I made him happy. I was satisfied with that. Then 10 days later....he broke up with me. He did it via phone. He wouldn't see me in person bc he said it would hurt him too much. I was devastated. He told me that he wasn't happy and he hadn't been happy for a while. 10 days is a while? He really wouldn't answer any of my questions and the only excuse he gave me was he was uncomfortable with my male friends. He had no reason to be bc I never flirt with or encourage my male friends at all. I think it was the feelings. I think he was afraid. I happened to see him at the beach 2 days after we broke up and he couldn't even look at me. He had tears in his eyes and he was shaking a little but he wouldn't look at me. Again, he didn't say much and we only talked for about 10 minutes. I have since left him alone and it has been exactly one month. I miss him. I want him back. What would you do? Would you leave him alone? Would you try to contact him? Try to start a friendship? I just don't know what to do. But I do know that I want him in my life. I get all kinds of advice from friends.....things like, "just wait it out bc he'll realize how much he misses you and come back" to, "get over it" to, "try calling him and inviting him for a drink or ask him to teach you to play golf". I have no idea what the right thing is. And just to make it clear, cheating (another woman) was/is not the issue. One of my close friends rents an apartment 2 houses over from his and she says there's never any cars at his place but his (she tells me this without my asking bc she's hopeful we'll get back together). He's a teacher so going out late at night isn't really an option, so if he is dating someone else she must be a very unhappy woman that he doesn't spend time out of his apt lol. I'm just worried that if I try to contact him now that I'll make him mad.....should I give him time or what? We're both adults and professionals. This isn't some high school drama. We're in our 30's already. I was hoping for advice from some men too. I was hoping the men could tell me how they'd feel if an ex contacted them. I can't be 100% certain (but can we ever really?) that he doesn't want to see my face again, but there's something in my heart that tells me he did this out of fear of loving feelings. Bc in the past love has not worked out for him and love is now a 4 letter word (if you know what I mean). Can anyone give me some decent advice? Thanks all!!