The exploration should have a clear and precise Aim.
It should be well organized. Introduction, Rationale, Process, Method, Analysis, Conclusion
The exploration should be coherent. (should have a logical flow) (Important data should be in the main body and not in appendix)
the exploration should be concise. No repetition.
All graphs and tables should be labelled. All variables should be defined.
Hypothesis should be stated in the beginning. Sampling method should be discussed.
Multiple mathematical processes should be used in the correct order and limitations discussed.
The exploration should not be a copy of previously proven theory from a research paper.
The exploration should not be like a text book style problem. Some creativity should be there.
Personal engagement and findings of the student should drive the exploration forward.
The reflection should not be just stating the results. But state what was learned from the result and how it can be used to further enhance the exploration.
Strengths and weakness of exploration should be discussed. Further scope of exploration should be discussed.
Reflection should not be superficial.
Math should be relevant to the SL/HL course. No need to use math beyond the level of the course.
Demonstrating Understanding is more important than just displaying very complicated looking equations.
Multiple math process complimenting each other should be used rather than expected textbook style math.