我在教历史课方面很有经验

experience没有错，如果你想强调经验丰富的话，建议用expertised:

I am expertised in history teaching.

i have a lot of experiences in teaching history
肯定正确

I am very experienced in history teaching
楼上的正好说反了。很明显语法没学好。还是用中文的思维去翻译英文。

I have rich experiences in history teaching.

I am very experenced in teaching history
楼上的，我没有错吧？现在我跑到你楼下来了。