I am working to better understand the different homeschool curriculum. I am trying to build categories so that I can better understand where Time4Learning fits.  Heres my start. I would appreciate feedback in understanding the major homeschool programs for elementary & middleschool.

Curriculum in a Box - These curricula are comprehensive programs for homeschooling with information on  what to do each day and what to say to support the lessons.

• A Beka (frequently misspelled as Abeka) - This a self-contained set of workbooks which are systematically Christian and provide a rigorous education. They are religious in the sense that all lessons have quotes from scripture on them and all materials are consistent with a Christian point of view. Non-Christian texts, such as Aesops fables, are adapted to the Christian view. A Beka is a leading homeschool curriculum.  Time4Learning provides a welcome contrast to students who are studying with A Beka. Whereas A Beka is a paper-based approach, Time4Learning teaches many of the same lessons (from a secular point of view)  in an interactive fun way.
• Alpha Omega - less demanding,

Sonlight - unit study, highly rigorous, Christian / Great Books approach, Provides curriculum guide but other types of books (example: list...) Lots of reading and writing, more humanities focused, includes exposure to non-Christian viewpoints but provides explanations. Uses other materials such as Osborne, Singapore, Saxxon Math, great literature

Alpha Omega - less demanding, has a CD curriculum called Switch On School House

Bob Jones - a textbook approach

Calvert School - A Baltimore secular school that provides its curriculum to homeschool users - Optional grading /teaching service that is accredited.

Math Curriculum

Saxxon Math - text book used both for homeschool and in schools,s piraling scope and sequencw ith each day, a new lesson which is covered in exercises followed by a review / cumulative exercise that integrates and reviews concepts. Lots of practice and drills.

Singapore Math - Initially, the same materials used in Singapore (where kids out-test American kids dramatically on math) but recently updated with an Americanized version. Small workbooks (note - there do not have high production values. At first, the paper quality and presentation is strikingly low quality) that move quickly and are strong on concepts but light on drills.  Great for those learning to think in math.

Horizons Math - a balanced approach

Math U-See - a video approach. Very compelling charismatic teacher whose idea is that parents should learn to teach tomorrows lesson from him.  Mostly, time-pressed parents end up showing the video to their children which is good but not good enough for most people to sign up for a second year. 

Miquon - Great approach to early math. Totally conceptual and non-verbal.  Buy the basic manipulatives and use these llight picture books.