I was given the opportunity to review Young Hearts Longing for God from Soli Deo Gloria Resources. It is a 'pre-inductive' study of some of the Psalms. Intended for 4th-8th grade, I think it can be used as a framework for discussing Psalms with younger children or even into adulthood. You can see a sample of the Psalm 8 study here.
Each lesson includes both word and text studies as well as more 'life application' lessons. Some of the questions are direct answer and some require more thought. I think this might be an interesting self study for many ages. In addition, you could use it for a small group or maybe a home school co-op. The study sells for $16.
Although we are eclectic in our homeschooling methodology, we lean toward Charlotte Mason. When we read, I often just move to the 'grand conversation' ** with Andrew. Each Psalm study however would give you questions to 'start from' if you were stuck. They could serve as a teacher scaffold for your discussion.
This company has a wide variety of resources from Bible to geography to various resource materials. In addition they carry e-book and hard copy depending on the product.
** If you would like to read more on the 'grand conversation' you can go to page 15 of this PDF which is an edition of The Charlotte Mason Education Review. The whole narration process is also found in this online periodical.
As part of The Old Schoolhouse Crew of reviewers, I was given a complimentary copy of this Psalm study. I am not compensated for this review and am not obligated to provide a positive review.