Art of Problem Solving vs Saxon Math

The sharpest difference is approach: Art of Problem Solving is Mastery, Saxon Math is Spiral. Four more separate them, so this is not a close pairing.

At a glance

Art of Problem Solving

Grades 5-12

Owners report it suits

Advanced/gifted

Saxon Math

Grades K-12

Both are reported to suit Independent workers.

Skip to who fits

Where they differ

Attribute Art of Problem Solving Saxon Math
Rigor
?

How demanding the material is versus grade level. Where a program lands on the 1 to 5 scale:

  1. 1gentle, below grade
  2. 2relaxed
  3. 3on grade
  4. 4demanding
  5. 5advanced
Read the rigor guide
Parent involvement
?

How much the parent is present and teaching. Where a program lands on the 1 to 5 scale:

  1. 1hands-off
  2. 2light
  3. 3shared
  4. 4leading
  5. 5parent-taught
Read the parent involvement guide
Screen time
?

How much daily work is on a device. Where a program lands on the 1 to 5 scale:

  1. 1fully offline
  2. 2mostly offline
  3. 3blended
  4. 4mostly digital
  5. 5fully digital
Read the screen time guide
Independence
?

How much the child can do alone. Where a program lands on the 1 to 5 scale:

  1. 1adult-led
  2. 2guided
  3. 3semi-independent
  4. 4mostly independent
  5. 5fully independent
Read the independence guide
Approach Mastery Spiral
Best for Tags show where owners consistently report a good fit. They are not exclusions. Advanced/giftedIndependent workers Independent workers
Method EclecticProblem-solving/Socratic TraditionalTraditional textbook
Grades 5-12 K-12

Solid tags are unique to that program. Muted tags are carried by both.

Where they match

How each one plays by grade

Art of Problem Solving

Grades 5-12

Capable 5th and 6th graders often start with Prealgebra. The live online classes move very fast, with Algebra 1 packed into roughly 16 weeks, while the textbooks are self-paced.

Saxon Math

Grades K-12

Parent-led and scripted in K-3, mostly independent from 5/4 up.

Cost

Cost item Art of Problem Solving Saxon Math
Price $25-85/subject, classes extra $90-140/kit
Consumable No Partial
Per child / year ~$60-85/course, more with live classes ~$100

Where to buy

What parents report

Art of Problem Solving

Consistently praised

  • Builds deep conceptual understanding
  • Teaches real problem solving, not just procedures
  • The videos are engaging and clear
  • Free Alcumus is excellent adaptive practice
  • Strong prep for competitions and top STEM tracks

Reported as challenges

  • It is hard, and kids get overwhelmed fast
  • Quick pace with little hand-holding
  • Jumps to tough problems before many worked examples
  • Wrong fit for a kid at grade level

Saxon Math

Consistently praised

  • Thorough review builds retention
  • Strong for computation and test prep
  • Upper levels work independently
  • Incremental steps rarely leave gaps

Reported as challenges

  • Lessons run long
  • Repetitive daily mixed review
  • Topic-jumping spiral frustrates some kids
  • Layout looks dated

Who Art of Problem Solving fits

Mathematically strong, self-driven kids who enjoy struggling with a problem and want depth well past grade level. Kids working at grade level, kids who need worked examples first, and kids who get frustrated without direct teaching will have a hard time.

Read the full Art of Problem Solving entry Check price Art of Problem Solving

Who Saxon Math fits

Built for kids who do well with daily review and repetition, in families that want a thorough offline program with a long runway. Short lessons, a mastery track that stays on one topic, and a colorful open-and-go page are three things Saxon doesn't offer.

Read the full Saxon Math entry Check price Rainbow Resource

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Still deciding?

Descriptions aggregate what homeschool parents consistently report across public community sources together with each publisher's own materials. Prices and editions change over time. Both entries last reviewed August 2026.