Progressive Levels of Difficulties in Learning Mathematics

LEVEL 1 — SEE & GRASP DIFFICULTIES
Building the Foundations of Mathematical Thinking
Recognizing, perceiving, remembering, and understanding mathematical objects and relationships.

LEVEL 2 — DO & CONTROL DIFFICULTIES
Managing Mathematical Procedures
Executing, sequencing, tracking, and controlling mathematical steps.

LEVEL 3 — THINK & TRANSFER DIFFICULTIES
Applying Mathematics Strategically
Interpreting, choosing, connecting, generalising, applying, and transferring mathematical knowledge.

LEVEL 4 — CREATE & ADVANCE DIFFICULTIES 

Extending the Frontiers of Mathematical Thinking

Formulating questions, developing conjectures, constructing proofs, investigating patterns, creating models, and advancing mathematical ideas.