Me and my boyfriend have very different argument skills - how to handle this?

I know all couples have their little spats. Everyone has an argument here and there. But I also know how you react and handle them is everything. I just feel like he really doesn't handle them well at all and things always get blown REALLY out of proportion.

For context, we don't even have issues often. We only have an argument/issue maybe once a month. So we aren't having issues every week or anything. But it just kind of bothers me how he goes about things when we do have an issue.

With me, I prefer CALM communication. I vote on each of us taking some time to ourselves to settle down, then meet back up to discuss things and figure out a resolution/compromise. He does not. He wants a battle. He wants yelling. He wants silence. When he gets mad, he starts to raise his voice even when I am trying to speak calmly about it later. He likes to pull the silent treatment and ignore me. He withholds affections and saying I love you. He knows I love you is a VERY important thing to me, so him refusing to say it just because he's upset really hurts me bad.

The last disagreement we had, he drug it out for three days. He refused to communicate. If I tried after a cool down period, he started to raise his voice again so I dropped it. He wouldn't say I love you, hug me, kiss me, etc. the whole time. Three whole days of that. It really hurt me and made me feel like he didn't love me or want to be with me anymore. If I ASK if he still wants me, he gets mad again and says why would you think I didn't?

A lot of times, he doesn't even apologize after this happens. He will just resume normal behavior as if nothing ever happened. After this last argument he just started saying I love you again and acted like nothing ever happened. No apology l. No mention of the issue. Just resumed totally normal behavior.

I don't really know what to think about this. Should I really just leave it rest and just act like nothing ever happened like he does?

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The arguments are often VERY petty as well. He gets mad about something minor then I get upset with him for blowing it out of proportion and being rude. I walk away for cool down time and he gets madder and says I'm not wanting to discuss things. Then I get frustrated because I WAS just trying to talk calmly and he was raising his voice so I walked away to give him time to calm down. He gets really mean when he doesn't like something I say or do or I disagree with something.
Me and my boyfriend have very different argument skills - how to handle this?
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