The difference between a 'bracket' and a 'parentheses' can be a bit confusing.
Generally, parentheses refers to round brackets () and brackets to square brackets []. However, we are more and more used to hearing these refered to simply as 'round brackets' or 'square brackets'.
Usually we use square brackets - [ ] - for special purposes such as in technical manuals. Round brackets - ( ) -, or 'parentheses' are used in a similar way to commas when we want to add further explanation, an afterthought, or comment that is to do with our main line of thought but distinct from it.
Many grammarians feel that the parentheses can, in fact, be replaced by commas in nearly all cases.
A hyphen joins two or more words together (e.g. x-ray, door-to-door) while a dash separates words into parenthetical statements (e.g. She was trapped - no escape was possible.
Hyphens:
Generally, hyphens are used to avoid confusion or ambiguity but today most words that have been hyphenated quite quickly drop the hyphen and become a single word (e.g. e-mail andemail, now-a-days and nowadays). In many cases though a hyphen does make the sense clear:
Hyphens and numbers
1. Use a hyphen with compound numbers from twenty-one to ninety-nine.
2. In written fractions place a hyphen between the numerator and denominator.
[Exception] if there is already a hyphen in either the numerator or the denominator, you omit the hyphen between the numerator and denominator.
3. Use a hyphen when the number forms part of an adjectival compund:
Dashes can be used to add parenthetical statements in much the same way as you would use brackets. In formal writing you should use the bracket rather than the dash as a dash is considered less formal in most cases. However, they should not be overused nor used to replace commas although they can be used to create emphasis in a sentence.
Examples
The colon expands on the sentence that precedes it.
The Semicolon
The semicolon is somewhere between a weak full stop and a strong comma and used to join phrases and sentences without having to use a conjunction (and, but etc.) where the phrases or sentences are thematically linked but independent.
Look at this example.
Notice how the semicolon works with the comma to enclose the connected phrases while the whole forms one logical sentence.
Although you will still see the double quotation marks used to quote direct speech it is more and more common to punctuate speech and direct quotations with single quotation marks with the double quotation marks reserved for quoting 'speech within speech'.
Notice that the comma is placed within the quotation marks and that double quotation marks are only used when the quoted speaker is quoting someone else directly.
You will also have seen the single quotation marks used to mark out idiomatic expressions such as -
They are also used outside of speech when quoting the title of a journal article:
(Note that there are a number of ways of organising such things as bibliographies which set out standard formats. Most organisations and academic institutions will prefer one of these or have their own format published in a 'style guide'.)