I've only tried a few different methods for homework but so far, I think I've found the one I like. It's subject to change depending on any new ideas I have or what grade level I'll be teaching next year, but here's my homework journey:
In first grade
I would get the homework from a math practice book (easy-tear pages) given to students by the district, or print ELA pages from our online ThinkCentral resource.
In second grade
I like having weekly homework because it gives families and students flexibility to do homework. If they have sports or other outside activities one or two nights a week, they can work around it by doing homework on other nights, or in pieces. So, after winter break, I kept the weekly homework aspect but changed the rest.
I also gave parents a mid-year survey (only 3 were returned) and one of the parents thought the homework was too easy, so I wanted to make sure to add reading homework that was a passage with comprehension questions to make it more difficult (but still doable, and something they need practice with) Below is an example of a passage with comprehension questions. You can find this awesome, free resource here.
I also pair my reading comprehension homework with a few math sheets- again from my district's consumable book they give to each student.
I've also thought about doing no homework (like I started with last year in first grade... but honestly, some students like doing homework, and most of the parents want to see what their kids are doing in school and how they can help. 'Fun' homework was another idea I considered, but I liked the weekly homework that I switched to after the break, so it wasn't something that I wanted to try at this time.
As for grading homework- I don't. I quickly look over it to see if the students understood it, and I give ClassDojo points for completion. I don't penalize them for not completing it because homework to me is not an end-all, be-all, and I don't have many who neglect to turn in their homework on Friday.
I do think that homework can be beneficial (though not in every circumstance), is a good way to reinforce concepts, and an easy home link. What is your stance on homework? How do you do it?