HomeschoolMath.net is a comprehensive math resource site for homeschooling parents and teachers: find free worksheets, math ebooks for elementary grades, an extensive link list of games, a homeschool math curriculum guide, interactive tutorials & quizzes, and teaching tips articles. The resources emphasize understanding of concepts instead of just mechanical memorization of rules.
ShillerMath publishes research-based math curriculum, music, manipulatives, flashcards, and workbooks for students of ages 4-13 (including pre-K and pre-Algebra), with beautifully designed lessons, diagnostic tests with answer keys, math songs, and Montessori-based manipulatives. No Montessori or math knowledge is required and there's zero lesson preparation - just read (or have your child read) what's in quotes and you're good to go! Students using this approach consistently outperform their peers. The ShillerMath curriculum includes authoritative materials and lessons used by thousands of Montessori schools worldwide and is the math curriculum of choice for thousands of homes and classrooms nationwide.
Homeschooling is challenging for multiple reasons. But overall, an only child family is the perfect scenario for homeschooling. If you look back in history, one-on-one tutoring was the preferred method of education. so while there are minor disadvantages, the advantages far outweigh them.
Parents who have their kids in school often say they have them there because of socialization. It's absurd that homeschoolers talk to people of all ages, all day long, and kids in school have to listen to a teacher all day long. It's just not even a contest: homeschooling is better for socialization because parents value it so much and schools don't.