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Level of detail in writing, sometimes known as level of abstraction, refers to three concepts: the precision in using the right words to form phrases, clauses and sentences; [1] the generality of statements; and the organisational strategy in which authors arrange ideas according to a common topic in the hierarchy of detail.
Holistic grading can also be used to assess classroom-based work. Rather than counting errors, a paper is judged holistically and often compared to an anchor paper to evaluate if it meets a writing standard. [4] It differs from other methods of scoring written discourse in two basic ways. It treats the composition as a whole, not assigning ...
Number theory also studies the natural, or whole, numbers. One of the central concepts in number theory is that of the prime number, and there are many questions about primes that appear simple but whose resolution continues to elude mathematicians. List of algebraic number theory topics; List of number theory topics
Then f is called continuous if, for every open set O in T, the preimage f −1 (O) is an open set in S. The phrase "formal definition" may help to flag the actual definition of a concept for readers unfamiliar with academic terminology, in which "definition" means formal definition, and a "proof" is always a formal proof.
Direct writing assessments, like Writeplacer ESL (part of Accuplacer) or a timed essay test, require at least one sample of student writing and are viewed by many writing assessment scholars as more valid than indirect tests because they are assessing actual samples of writing. [5]
First-year composition (sometimes known as first-year writing, freshman composition or freshman writing) is an introductory core curriculum writing course in US colleges and universities. This course focuses on improving students' abilities to write in a university setting and introduces students to writing practices in the disciplines and ...
Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements. [4] Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions ), until the 16th and 17th centuries, when algebra [ a ...
[1] Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense, algebra, geometry, measurement, and data analysis. These ...