I'd just like to add for your mother's information...
I did school work four days a week (one weekday was dedicated to homeschooling groups, with which we went skiing, to the beach, the movies, museums, and on other outings when we were not meeting in parks or community centers, working on collaborative art projects [plays, drawing, musical composition, story writing] and playing dodgeball). Each "work day" I did school work for between 3 and 5 hours depending on how daydreamy (dissociative, in retrospect) I was. The only subject I really formally studied was math. Everything else was somewhat carte blanche.
I was never graded for my work until I began taking community college courses when I was thirteen nor was I tested with the exception of one test my mother wanted me to take to see where I was in relation to my peers (I was three grades ahead). I did take the SAT but only applied to about 2 out of 8 or so colleges that wanted to see those scores (Sarah Lawrence, Hampshire, Bard, and others were disinterested in SAT scores). I applied to college with 37 college credits and a 3.9 GPA. I have a bachelor's degree from a very competitive private school, but I do not have a GED or diploma. I took the GRE about a year ago and got stellar scores in spite of not growing up with standardized testing.
People used to always wonder if I would be able to handle college. I didn't handle it. I kicked ass at it. Homeschooling is no more potentially debilitating than underfunded schools with undertrained teachers and toxic peer relationships.
I'll get off the soapbox now.