The student demonstrates a strong command of correct mathematical notation, symbols, and terminology, using them consistently and accurately throughout the work. They effectively define and explain key terms and variables when first introduced, as well as describe the main concepts in the introduction. Additionally, the student provides detailed definitions of additional terms in appropriate places, and includes multiple forms of mathematical representation such as formulae, diagrams, tables, charts, graphs, and models. Moreover, they explain all mathematical calculations and data presentations, and round results only at the end of the calculations thread. While the degree of accuracy for rounded values is not consistently stated, it is a minor issue that does not significantly impact the grading. The student also employs a deductive method and logical proofs where appropriate, and ensures that graphs, tables, and diagrams are properly labeled. Overall, the student effectively fulfills the criteria for mathematical exploration.