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The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened without damaging it), and the use of paper folds to solve mathematical equations up to the third order. [1]
Until 2019, there were three STEPs: STEP 1, STEP 2 and STEP 3. Since the academic year 2019/20, STEP 1 has been phased out. There was no STEP 1 set in 2020 due to the COVID-19 pandemic, and it was later announced that from 2021, STEP 1 would no longer be set, with only STEP 2 and STEP 3 being available. [5]
[2] [3] The Department for Education has drawn up a list of core subjects known as the English Baccalaureate for England based on the results in eight GCSEs, which includes both English language and English literature, mathematics, science (physics, chemistry, biology, computer science), geography or history, and an ancient or modern foreign ...
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of computer science.
For example, mathematical beauty arises in a Math Circle activity on symmetry designed for 2nd and 3rd graders, where students create their own snowflakes by folding a square piece of paper and cutting out designs of their choice along the edges of the folded paper. When the paper is unfolded, a symmetrical design reveals itself.
Most IGCSE subjects offer a choice of tiered examinations: Core or Extended papers (in Cambridge International), and Foundation or Higher papers (in Edexcel). This is designed to make IGCSE suitable for students with varying levels of ability. In some subjects, IGCSE can be taken with or without coursework.
Mathematical logic is the study of formal logic within mathematics.Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory).
Mathematics and Plausible Reasoning is a two-volume book by the mathematician George Pólya describing various methods for being a good guesser of new mathematical results. [ 1 ] [ 2 ] In the Preface to Volume 1 of the book Pólya exhorts all interested students of mathematics thus: "Certainly, let us learn proving, but also let us learn guessing."