The student does not use correct mathematical notation, symbols, and terminology consistently and correctly. They should include the true equation of Pearson's correlation and explain how they obtained it. The student also needs to refer to Pearson's correlation as 'r' instead of 'sim(a,b)'. The student includes computer notation only when it is software-generated, which is clear in their Python-generated code. They define and explain key terms/variables when first introduced, including a clear distinction and explanation of variables in equations. However, the student fails to describe the main mathematical concepts in the introduction, such as matrices, Pearson's coefficient, and cosine similarity. They do describe additional terms in detail and how they relate to the exploration. The student uses multiple forms of mathematical representation appropriately, including tables, formulae, and figures. However, they do not explain all mathematical calculations and data presentations clearly. The student does not state the degree of accuracy for rounded values, and they round results only at the end of the calculations thread. They use deductive methods and logical proofs where appropriate, particularly in interpreting results and explaining the reasoning behind the investigation. However, the graphs, tables, and diagrams are not labeled at the bottom.
