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Page 1: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Writing a paper in mathematics: LanguageFrom “Writing a Math Phase Two Paper” by Steven L.

Kleiman

Writing a math paper: Language

Page 2: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Watch your language

In the subject of writing, the word “language” means thechoice of words and symbols, and their arrangement inphrases.

It also means the structuring of sentences and paragraphs,and the use of examples and analogies.

When you write, watch your language.

When it falters, your readers stumble; if they stumble toooften, they’ll lose their patience and stop reading.

Write, rewrite, then rewrite again, improving your languageas you go; there is no short cut!

Writing a math paper: Language

Page 3: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Watch your language

In the subject of writing, the word “language” means thechoice of words and symbols, and their arrangement inphrases.

It also means the structuring of sentences and paragraphs,and the use of examples and analogies.

When you write, watch your language.

When it falters, your readers stumble; if they stumble toooften, they’ll lose their patience and stop reading.

Write, rewrite, then rewrite again, improving your languageas you go; there is no short cut!

Writing a math paper: Language

Page 4: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Watch your language

In the subject of writing, the word “language” means thechoice of words and symbols, and their arrangement inphrases.

It also means the structuring of sentences and paragraphs,and the use of examples and analogies.

When you write, watch your language.

When it falters, your readers stumble; if they stumble toooften, they’ll lose their patience and stop reading.

Write, rewrite, then rewrite again, improving your languageas you go; there is no short cut!

Writing a math paper: Language

Page 5: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Watch your language

In the subject of writing, the word “language” means thechoice of words and symbols, and their arrangement inphrases.

It also means the structuring of sentences and paragraphs,and the use of examples and analogies.

When you write, watch your language.

When it falters, your readers stumble;

if they stumble toooften, they’ll lose their patience and stop reading.

Write, rewrite, then rewrite again, improving your languageas you go; there is no short cut!

Writing a math paper: Language

Page 6: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Watch your language

In the subject of writing, the word “language” means thechoice of words and symbols, and their arrangement inphrases.

It also means the structuring of sentences and paragraphs,and the use of examples and analogies.

When you write, watch your language.

When it falters, your readers stumble; if they stumble toooften, they’ll lose their patience and stop reading.

Write, rewrite, then rewrite again, improving your languageas you go; there is no short cut!

Writing a math paper: Language

Page 7: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Watch your language

In the subject of writing, the word “language” means thechoice of words and symbols, and their arrangement inphrases.

It also means the structuring of sentences and paragraphs,and the use of examples and analogies.

When you write, watch your language.

When it falters, your readers stumble; if they stumble toooften, they’ll lose their patience and stop reading.

Write, rewrite, then rewrite again, improving your languageas you go;

there is no short cut!

Writing a math paper: Language

Page 8: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Watch your language

In the subject of writing, the word “language” means thechoice of words and symbols, and their arrangement inphrases.

It also means the structuring of sentences and paragraphs,and the use of examples and analogies.

When you write, watch your language.

When it falters, your readers stumble; if they stumble toooften, they’ll lose their patience and stop reading.

Write, rewrite, then rewrite again, improving your languageas you go; there is no short cut!

Writing a math paper: Language

Page 9: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Goals

In “The Craft of Scientific Writing”, Alley identifies sevengoals of language:

two primary goals (precision and clarity)and five secondary goals (familiarity, forthrightness,conciseness, fluidity and imagery).

These goals often reinforce one another.

For example, clarity and forthrightness promoteconciseness; precision and familiarity promote clarity.

We will now consider these goals individually.

Writing a math paper: Language

Page 10: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Goals

In “The Craft of Scientific Writing”, Alley identifies sevengoals of language: two primary goals (precision and clarity)

and five secondary goals (familiarity, forthrightness,conciseness, fluidity and imagery).

These goals often reinforce one another.

For example, clarity and forthrightness promoteconciseness; precision and familiarity promote clarity.

We will now consider these goals individually.

Writing a math paper: Language

Page 11: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Goals

In “The Craft of Scientific Writing”, Alley identifies sevengoals of language: two primary goals (precision and clarity)and five secondary goals (familiarity, forthrightness,conciseness, fluidity and imagery).

These goals often reinforce one another.

For example, clarity and forthrightness promoteconciseness; precision and familiarity promote clarity.

We will now consider these goals individually.

Writing a math paper: Language

Page 12: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Goals

In “The Craft of Scientific Writing”, Alley identifies sevengoals of language: two primary goals (precision and clarity)and five secondary goals (familiarity, forthrightness,conciseness, fluidity and imagery).

These goals often reinforce one another.

For example, clarity and forthrightness promoteconciseness; precision and familiarity promote clarity.

We will now consider these goals individually.

Writing a math paper: Language

Page 13: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Goals

In “The Craft of Scientific Writing”, Alley identifies sevengoals of language: two primary goals (precision and clarity)and five secondary goals (familiarity, forthrightness,conciseness, fluidity and imagery).

These goals often reinforce one another.

For example, clarity and forthrightness promoteconciseness;

precision and familiarity promote clarity.

We will now consider these goals individually.

Writing a math paper: Language

Page 14: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Goals

In “The Craft of Scientific Writing”, Alley identifies sevengoals of language: two primary goals (precision and clarity)and five secondary goals (familiarity, forthrightness,conciseness, fluidity and imagery).

These goals often reinforce one another.

For example, clarity and forthrightness promoteconciseness; precision and familiarity promote clarity.

We will now consider these goals individually.

Writing a math paper: Language

Page 15: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Goals

In “The Craft of Scientific Writing”, Alley identifies sevengoals of language: two primary goals (precision and clarity)and five secondary goals (familiarity, forthrightness,conciseness, fluidity and imagery).

These goals often reinforce one another.

For example, clarity and forthrightness promoteconciseness; precision and familiarity promote clarity.

We will now consider these goals individually.

Writing a math paper: Language

Page 16: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means using the right word.

However, finding the right word can be difficult.

Consult a dictionary, not a thesaurus, because thedictionary explains the differences among words.

Always consider a word’s connotations (associatedmeanings) along with its denotations (explicit meanings).

Strong writing does not require using synonyms, contraryto popular belief.

Indeed, by repeating a word, you often strengthen the bondbetween two thoughts.

Moreover, few words are exact synonyms, and often, usingan exact synonym adds nothing to the discussion.

Writing a math paper: Language

Page 17: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means using the right word.

However, finding the right word can be difficult.

Consult a dictionary, not a thesaurus, because thedictionary explains the differences among words.

Always consider a word’s connotations (associatedmeanings) along with its denotations (explicit meanings).

Strong writing does not require using synonyms, contraryto popular belief.

Indeed, by repeating a word, you often strengthen the bondbetween two thoughts.

Moreover, few words are exact synonyms, and often, usingan exact synonym adds nothing to the discussion.

Writing a math paper: Language

Page 18: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means using the right word.

However, finding the right word can be difficult.

Consult a dictionary, not a thesaurus, because thedictionary explains the differences among words.

Always consider a word’s connotations (associatedmeanings) along with its denotations (explicit meanings).

Strong writing does not require using synonyms, contraryto popular belief.

Indeed, by repeating a word, you often strengthen the bondbetween two thoughts.

Moreover, few words are exact synonyms, and often, usingan exact synonym adds nothing to the discussion.

Writing a math paper: Language

Page 19: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means using the right word.

However, finding the right word can be difficult.

Consult a dictionary, not a thesaurus, because thedictionary explains the differences among words.

Always consider a word’s connotations (associatedmeanings) along with its denotations (explicit meanings).

Strong writing does not require using synonyms, contraryto popular belief.

Indeed, by repeating a word, you often strengthen the bondbetween two thoughts.

Moreover, few words are exact synonyms, and often, usingan exact synonym adds nothing to the discussion.

Writing a math paper: Language

Page 20: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means using the right word.

However, finding the right word can be difficult.

Consult a dictionary, not a thesaurus, because thedictionary explains the differences among words.

Always consider a word’s connotations (associatedmeanings) along with its denotations (explicit meanings).

Strong writing does not require using synonyms, contraryto popular belief.

Indeed, by repeating a word, you often strengthen the bondbetween two thoughts.

Moreover, few words are exact synonyms, and often, usingan exact synonym adds nothing to the discussion.

Writing a math paper: Language

Page 21: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means using the right word.

However, finding the right word can be difficult.

Consult a dictionary, not a thesaurus, because thedictionary explains the differences among words.

Always consider a word’s connotations (associatedmeanings) along with its denotations (explicit meanings).

Strong writing does not require using synonyms, contraryto popular belief.

Indeed, by repeating a word, you often strengthen the bondbetween two thoughts.

Moreover, few words are exact synonyms, and often, usingan exact synonym adds nothing to the discussion.

Writing a math paper: Language

Page 22: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means using the right word.

However, finding the right word can be difficult.

Consult a dictionary, not a thesaurus, because thedictionary explains the differences among words.

Always consider a word’s connotations (associatedmeanings) along with its denotations (explicit meanings).

Strong writing does not require using synonyms, contraryto popular belief.

Indeed, by repeating a word, you often strengthen the bondbetween two thoughts.

Moreover, few words are exact synonyms, and often, usingan exact synonym adds nothing to the discussion.

Writing a math paper: Language

Page 23: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means giving specific and concrete details.

Without the details, readers stop and wonder needlessly.

On the other hand, readers remember by means of thedetails.

Being precise does not mean giving all the details, butgiving the informative details.

Giving the wrong details or giving the right ones at thewrong time makes the writing hard to follow.

Being specific does not mean eradicating generalstatements. General statements are important, particularlyin summaries.

However, specific examples, illustrations, and analogies addmeaning to the general statements.

Writing a math paper: Language

Page 24: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means giving specific and concrete details.

Without the details, readers stop and wonder needlessly.

On the other hand, readers remember by means of thedetails.

Being precise does not mean giving all the details, butgiving the informative details.

Giving the wrong details or giving the right ones at thewrong time makes the writing hard to follow.

Being specific does not mean eradicating generalstatements. General statements are important, particularlyin summaries.

However, specific examples, illustrations, and analogies addmeaning to the general statements.

Writing a math paper: Language

Page 25: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means giving specific and concrete details.

Without the details, readers stop and wonder needlessly.

On the other hand, readers remember by means of thedetails.

Being precise does not mean giving all the details, butgiving the informative details.

Giving the wrong details or giving the right ones at thewrong time makes the writing hard to follow.

Being specific does not mean eradicating generalstatements. General statements are important, particularlyin summaries.

However, specific examples, illustrations, and analogies addmeaning to the general statements.

Writing a math paper: Language

Page 26: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means giving specific and concrete details.

Without the details, readers stop and wonder needlessly.

On the other hand, readers remember by means of thedetails.

Being precise does not mean giving all the details, butgiving the informative details.

Giving the wrong details or giving the right ones at thewrong time makes the writing hard to follow.

Being specific does not mean eradicating generalstatements. General statements are important, particularlyin summaries.

However, specific examples, illustrations, and analogies addmeaning to the general statements.

Writing a math paper: Language

Page 27: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means giving specific and concrete details.

Without the details, readers stop and wonder needlessly.

On the other hand, readers remember by means of thedetails.

Being precise does not mean giving all the details, butgiving the informative details.

Giving the wrong details or giving the right ones at thewrong time makes the writing hard to follow.

Being specific does not mean eradicating generalstatements. General statements are important, particularlyin summaries.

However, specific examples, illustrations, and analogies addmeaning to the general statements.

Writing a math paper: Language

Page 28: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means giving specific and concrete details.

Without the details, readers stop and wonder needlessly.

On the other hand, readers remember by means of thedetails.

Being precise does not mean giving all the details, butgiving the informative details.

Giving the wrong details or giving the right ones at thewrong time makes the writing hard to follow.

Being specific does not mean eradicating generalstatements.

General statements are important, particularlyin summaries.

However, specific examples, illustrations, and analogies addmeaning to the general statements.

Writing a math paper: Language

Page 29: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means giving specific and concrete details.

Without the details, readers stop and wonder needlessly.

On the other hand, readers remember by means of thedetails.

Being precise does not mean giving all the details, butgiving the informative details.

Giving the wrong details or giving the right ones at thewrong time makes the writing hard to follow.

Being specific does not mean eradicating generalstatements. General statements are important, particularlyin summaries.

However, specific examples, illustrations, and analogies addmeaning to the general statements.

Writing a math paper: Language

Page 30: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Precision

Being precise means giving specific and concrete details.

Without the details, readers stop and wonder needlessly.

On the other hand, readers remember by means of thedetails.

Being precise does not mean giving all the details, butgiving the informative details.

Giving the wrong details or giving the right ones at thewrong time makes the writing hard to follow.

Being specific does not mean eradicating generalstatements. General statements are important, particularlyin summaries.

However, specific examples, illustrations, and analogies addmeaning to the general statements.

Writing a math paper: Language

Page 31: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Clarity

Being clear means using no wrong words.

An ambiguous phrase or sentence will disrupt thecontinuity and diminish the authority of an entire section.

A common mistake is to use overly complex prose.

Keep your sentences simple and to the point.

It may help to keep most of them short, but you need somelonger ones to keep your writing from sounding choppy andto provide variety and emphasis.

Writing a math paper: Language

Page 32: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Clarity

Being clear means using no wrong words.

An ambiguous phrase or sentence will disrupt thecontinuity and diminish the authority of an entire section.

A common mistake is to use overly complex prose.

Keep your sentences simple and to the point.

It may help to keep most of them short, but you need somelonger ones to keep your writing from sounding choppy andto provide variety and emphasis.

Writing a math paper: Language

Page 33: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Clarity

Being clear means using no wrong words.

An ambiguous phrase or sentence will disrupt thecontinuity and diminish the authority of an entire section.

A common mistake is to use overly complex prose.

Keep your sentences simple and to the point.

It may help to keep most of them short, but you need somelonger ones to keep your writing from sounding choppy andto provide variety and emphasis.

Writing a math paper: Language

Page 34: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Clarity

Being clear means using no wrong words.

An ambiguous phrase or sentence will disrupt thecontinuity and diminish the authority of an entire section.

A common mistake is to use overly complex prose.

Keep your sentences simple and to the point.

It may help to keep most of them short, but you need somelonger ones to keep your writing from sounding choppy andto provide variety and emphasis.

Writing a math paper: Language

Page 35: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Clarity

Being clear means using no wrong words.

An ambiguous phrase or sentence will disrupt thecontinuity and diminish the authority of an entire section.

A common mistake is to use overly complex prose.

Keep your sentences simple and to the point.

It may help to keep most of them short, but you need somelonger ones to keep your writing from sounding choppy andto provide variety and emphasis.

Writing a math paper: Language

Page 36: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

To inform, you must use language familiar to your readers.

Define unfamiliar words, and familiar words used inunfamiliar ways.

If the definition is short, then include it in the samesentence, preceding it by “or” or setting it off by commasor parentheses.

If the definition is complex or technical, then expand it in asentence or two.

Writing a math paper: Language

Page 37: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

To inform, you must use language familiar to your readers.

Define unfamiliar words, and familiar words used inunfamiliar ways.

If the definition is short, then include it in the samesentence, preceding it by “or” or setting it off by commasor parentheses.

If the definition is complex or technical, then expand it in asentence or two.

Writing a math paper: Language

Page 38: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

To inform, you must use language familiar to your readers.

Define unfamiliar words, and familiar words used inunfamiliar ways.

If the definition is short, then include it in the samesentence, preceding it by “or” or setting it off by commasor parentheses.

If the definition is complex or technical, then expand it in asentence or two.

Writing a math paper: Language

Page 39: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

To inform, you must use language familiar to your readers.

Define unfamiliar words, and familiar words used inunfamiliar ways.

If the definition is short, then include it in the samesentence, preceding it by “or” or setting it off by commasor parentheses.

If the definition is complex or technical, then expand it in asentence or two.

Writing a math paper: Language

Page 40: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

Jargon is vocabulary particular to a certain group, and itconsists of abbreviations and slang terms.

Jargon is not inherently bad. Indeed, it is useful in internalmemos and reports.

However, jargon alienates external readers and may evenmislead them. So beware.

Cliches are figurative expressions that have been overusedand have taken undesirable connotations.

Most are imprecise and unclear. Avoid them, or be laughedat.

Writing a math paper: Language

Page 41: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

Jargon is vocabulary particular to a certain group, and itconsists of abbreviations and slang terms.

Jargon is not inherently bad. Indeed, it is useful in internalmemos and reports.

However, jargon alienates external readers and may evenmislead them. So beware.

Cliches are figurative expressions that have been overusedand have taken undesirable connotations.

Most are imprecise and unclear. Avoid them, or be laughedat.

Writing a math paper: Language

Page 42: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

Jargon is vocabulary particular to a certain group, and itconsists of abbreviations and slang terms.

Jargon is not inherently bad. Indeed, it is useful in internalmemos and reports.

However, jargon alienates external readers and may evenmislead them. So beware.

Cliches are figurative expressions that have been overusedand have taken undesirable connotations.

Most are imprecise and unclear. Avoid them, or be laughedat.

Writing a math paper: Language

Page 43: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

Jargon is vocabulary particular to a certain group, and itconsists of abbreviations and slang terms.

Jargon is not inherently bad. Indeed, it is useful in internalmemos and reports.

However, jargon alienates external readers and may evenmislead them. So beware.

Cliches are figurative expressions that have been overusedand have taken undesirable connotations.

Most are imprecise and unclear. Avoid them, or be laughedat.

Writing a math paper: Language

Page 44: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

Jargon is vocabulary particular to a certain group, and itconsists of abbreviations and slang terms.

Jargon is not inherently bad. Indeed, it is useful in internalmemos and reports.

However, jargon alienates external readers and may evenmislead them. So beware.

Cliches are figurative expressions that have been overusedand have taken undesirable connotations.

Most are imprecise and unclear.

Avoid them, or be laughedat.

Writing a math paper: Language

Page 45: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Familiarity

Jargon is vocabulary particular to a certain group, and itconsists of abbreviations and slang terms.

Jargon is not inherently bad. Indeed, it is useful in internalmemos and reports.

However, jargon alienates external readers and may evenmislead them. So beware.

Cliches are figurative expressions that have been overusedand have taken undesirable connotations.

Most are imprecise and unclear. Avoid them, or be laughedat.

Writing a math paper: Language

Page 46: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

Be forthright: Write in an unhesitating, straightforward,and friendly style, ridding your language of needless andbewildering formality.

Be wary of awkward and inefficient passive constructions.

Often the passive voice is used simply to avoid the firstperson.

However, the pronoun “we” is generally consideredacceptable in contexts where it means the author andreader together, or the author with the reader looking on.

Writing a math paper: Language

Page 47: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

Be forthright: Write in an unhesitating, straightforward,and friendly style, ridding your language of needless andbewildering formality.

Be wary of awkward and inefficient passive constructions.

Often the passive voice is used simply to avoid the firstperson.

However, the pronoun “we” is generally consideredacceptable in contexts where it means the author andreader together, or the author with the reader looking on.

Writing a math paper: Language

Page 48: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

Be forthright: Write in an unhesitating, straightforward,and friendly style, ridding your language of needless andbewildering formality.

Be wary of awkward and inefficient passive constructions.

Often the passive voice is used simply to avoid the firstperson.

However, the pronoun “we” is generally consideredacceptable in contexts where it means the author andreader together, or the author with the reader looking on.

Writing a math paper: Language

Page 49: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

Be forthright: Write in an unhesitating, straightforward,and friendly style, ridding your language of needless andbewildering formality.

Be wary of awkward and inefficient passive constructions.

Often the passive voice is used simply to avoid the firstperson.

However, the pronoun “we” is generally consideredacceptable in contexts where it means the author andreader together, or the author with the reader looking on.

Writing a math paper: Language

Page 50: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

For instance, don’t write, “By solving the equation, it isfound that the roots are real”.

Instead write, “Solving the equation, we find the roots arereal” or “Solving the equation yields real roots”.

It is acceptable, but less desirable, to write, “Solving theequation, one finds the roots are real”; the personalpronoun “one” is a sign of formality, and is uncommon inmathematical writing today.

Beware of dangling participles. It is wrong to write,“Solving the equation, the roots are real”, because “theroots” cannot solve the equation.

Writing a math paper: Language

Page 51: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

For instance, don’t write, “By solving the equation, it isfound that the roots are real”.

Instead write, “Solving the equation, we find the roots arereal” or “Solving the equation yields real roots”.

It is acceptable, but less desirable, to write, “Solving theequation, one finds the roots are real”; the personalpronoun “one” is a sign of formality, and is uncommon inmathematical writing today.

Beware of dangling participles. It is wrong to write,“Solving the equation, the roots are real”, because “theroots” cannot solve the equation.

Writing a math paper: Language

Page 52: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

For instance, don’t write, “By solving the equation, it isfound that the roots are real”.

Instead write, “Solving the equation, we find the roots arereal” or “Solving the equation yields real roots”.

It is acceptable, but less desirable, to write, “Solving theequation, one finds the roots are real”;

the personalpronoun “one” is a sign of formality, and is uncommon inmathematical writing today.

Beware of dangling participles. It is wrong to write,“Solving the equation, the roots are real”, because “theroots” cannot solve the equation.

Writing a math paper: Language

Page 53: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

For instance, don’t write, “By solving the equation, it isfound that the roots are real”.

Instead write, “Solving the equation, we find the roots arereal” or “Solving the equation yields real roots”.

It is acceptable, but less desirable, to write, “Solving theequation, one finds the roots are real”; the personalpronoun “one” is a sign of formality, and is uncommon inmathematical writing today.

Beware of dangling participles. It is wrong to write,“Solving the equation, the roots are real”, because “theroots” cannot solve the equation.

Writing a math paper: Language

Page 54: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

For instance, don’t write, “By solving the equation, it isfound that the roots are real”.

Instead write, “Solving the equation, we find the roots arereal” or “Solving the equation yields real roots”.

It is acceptable, but less desirable, to write, “Solving theequation, one finds the roots are real”; the personalpronoun “one” is a sign of formality, and is uncommon inmathematical writing today.

Beware of dangling participles.

It is wrong to write,“Solving the equation, the roots are real”, because “theroots” cannot solve the equation.

Writing a math paper: Language

Page 55: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

For instance, don’t write, “By solving the equation, it isfound that the roots are real”.

Instead write, “Solving the equation, we find the roots arereal” or “Solving the equation yields real roots”.

It is acceptable, but less desirable, to write, “Solving theequation, one finds the roots are real”; the personalpronoun “one” is a sign of formality, and is uncommon inmathematical writing today.

Beware of dangling participles. It is wrong to write,“Solving the equation, the roots are real”,

because “theroots” cannot solve the equation.

Writing a math paper: Language

Page 56: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Forthrightness

For instance, don’t write, “By solving the equation, it isfound that the roots are real”.

Instead write, “Solving the equation, we find the roots arereal” or “Solving the equation yields real roots”.

It is acceptable, but less desirable, to write, “Solving theequation, one finds the roots are real”; the personalpronoun “one” is a sign of formality, and is uncommon inmathematical writing today.

Beware of dangling participles. It is wrong to write,“Solving the equation, the roots are real”, because “theroots” cannot solve the equation.

Writing a math paper: Language

Page 57: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Conciseness

Concise writing is vigorous;

wordy writing is tedious.

Conciseness comes from reducing sentences to theirsimplest forms.

If it goes without saying, don’t say it.

Concise writing is simple and efficient, thus beautiful.

Writing a math paper: Language

Page 58: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Conciseness

Concise writing is vigorous; wordy writing is tedious.

Conciseness comes from reducing sentences to theirsimplest forms.

If it goes without saying, don’t say it.

Concise writing is simple and efficient, thus beautiful.

Writing a math paper: Language

Page 59: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Conciseness

Concise writing is vigorous; wordy writing is tedious.

Conciseness comes from reducing sentences to theirsimplest forms.

If it goes without saying, don’t say it.

Concise writing is simple and efficient, thus beautiful.

Writing a math paper: Language

Page 60: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Conciseness

Concise writing is vigorous; wordy writing is tedious.

Conciseness comes from reducing sentences to theirsimplest forms.

If it goes without saying, don’t say it.

Concise writing is simple and efficient, thus beautiful.

Writing a math paper: Language

Page 61: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Conciseness

Concise writing is vigorous; wordy writing is tedious.

Conciseness comes from reducing sentences to theirsimplest forms.

If it goes without saying, don’t say it.

Concise writing is simple and efficient, thus beautiful.

Writing a math paper: Language

Page 62: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

The flow of a paper can be disturbed by weak transitionsbetween sentences and paragraphs.

To smooth the flow, start a sentence where the precedingone left off.

Use connective words and phrases.

Avoid gaps in the logic, and give ample details.

Don’t take needless jumps when deriving equations.

Use parallel wording when discussing parallel concepts.

Don’t raise questions implicitly, leaving them unanswered.

Pay attention to the tense and mode of verbs.

Writing a math paper: Language

Page 63: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

The flow of a paper can be disturbed by weak transitionsbetween sentences and paragraphs.

To smooth the flow, start a sentence where the precedingone left off.

Use connective words and phrases.

Avoid gaps in the logic, and give ample details.

Don’t take needless jumps when deriving equations.

Use parallel wording when discussing parallel concepts.

Don’t raise questions implicitly, leaving them unanswered.

Pay attention to the tense and mode of verbs.

Writing a math paper: Language

Page 64: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

The flow of a paper can be disturbed by weak transitionsbetween sentences and paragraphs.

To smooth the flow, start a sentence where the precedingone left off.

Use connective words and phrases.

Avoid gaps in the logic, and give ample details.

Don’t take needless jumps when deriving equations.

Use parallel wording when discussing parallel concepts.

Don’t raise questions implicitly, leaving them unanswered.

Pay attention to the tense and mode of verbs.

Writing a math paper: Language

Page 65: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

The flow of a paper can be disturbed by weak transitionsbetween sentences and paragraphs.

To smooth the flow, start a sentence where the precedingone left off.

Use connective words and phrases.

Avoid gaps in the logic, and give ample details.

Don’t take needless jumps when deriving equations.

Use parallel wording when discussing parallel concepts.

Don’t raise questions implicitly, leaving them unanswered.

Pay attention to the tense and mode of verbs.

Writing a math paper: Language

Page 66: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

The flow of a paper can be disturbed by weak transitionsbetween sentences and paragraphs.

To smooth the flow, start a sentence where the precedingone left off.

Use connective words and phrases.

Avoid gaps in the logic, and give ample details.

Don’t take needless jumps when deriving equations.

Use parallel wording when discussing parallel concepts.

Don’t raise questions implicitly, leaving them unanswered.

Pay attention to the tense and mode of verbs.

Writing a math paper: Language

Page 67: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

The flow of a paper can be disturbed by weak transitionsbetween sentences and paragraphs.

To smooth the flow, start a sentence where the precedingone left off.

Use connective words and phrases.

Avoid gaps in the logic, and give ample details.

Don’t take needless jumps when deriving equations.

Use parallel wording when discussing parallel concepts.

Don’t raise questions implicitly, leaving them unanswered.

Pay attention to the tense and mode of verbs.

Writing a math paper: Language

Page 68: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

The flow of a paper can be disturbed by weak transitionsbetween sentences and paragraphs.

To smooth the flow, start a sentence where the precedingone left off.

Use connective words and phrases.

Avoid gaps in the logic, and give ample details.

Don’t take needless jumps when deriving equations.

Use parallel wording when discussing parallel concepts.

Don’t raise questions implicitly, leaving them unanswered.

Pay attention to the tense and mode of verbs.

Writing a math paper: Language

Page 69: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

The flow of a paper can be disturbed by weak transitionsbetween sentences and paragraphs.

To smooth the flow, start a sentence where the precedingone left off.

Use connective words and phrases.

Avoid gaps in the logic, and give ample details.

Don’t take needless jumps when deriving equations.

Use parallel wording when discussing parallel concepts.

Don’t raise questions implicitly, leaving them unanswered.

Pay attention to the tense and mode of verbs.

Writing a math paper: Language

Page 70: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

Some papers stagnate because they lack variety:

The sentences begin the same way, run the same length,and are of the same type. The paragraphs have the samelength and structure.This should be avoided, if possible.

Don’t worry about varying your sentences and paragraphsat first; wait until you polish your writing.

Remember though, if you have to choose between fluidityand clarity, you must choose clarity.

The very structure of a sentence conveys meaning.

Readers expect the stress to lie at the beginning and end.

They take a breath at the beginning, but will run out ofbreath before the end if the structure is too complex, forinstance, if the subject is too far from the verb.

Writing a math paper: Language

Page 71: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

Some papers stagnate because they lack variety:The sentences begin the same way, run the same length,and are of the same type.

The paragraphs have the samelength and structure.This should be avoided, if possible.

Don’t worry about varying your sentences and paragraphsat first; wait until you polish your writing.

Remember though, if you have to choose between fluidityand clarity, you must choose clarity.

The very structure of a sentence conveys meaning.

Readers expect the stress to lie at the beginning and end.

They take a breath at the beginning, but will run out ofbreath before the end if the structure is too complex, forinstance, if the subject is too far from the verb.

Writing a math paper: Language

Page 72: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

Some papers stagnate because they lack variety:The sentences begin the same way, run the same length,and are of the same type. The paragraphs have the samelength and structure.

This should be avoided, if possible.

Don’t worry about varying your sentences and paragraphsat first; wait until you polish your writing.

Remember though, if you have to choose between fluidityand clarity, you must choose clarity.

The very structure of a sentence conveys meaning.

Readers expect the stress to lie at the beginning and end.

They take a breath at the beginning, but will run out ofbreath before the end if the structure is too complex, forinstance, if the subject is too far from the verb.

Writing a math paper: Language

Page 73: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

Some papers stagnate because they lack variety:The sentences begin the same way, run the same length,and are of the same type. The paragraphs have the samelength and structure.This should be avoided, if possible.

Don’t worry about varying your sentences and paragraphsat first;

wait until you polish your writing.

Remember though, if you have to choose between fluidityand clarity, you must choose clarity.

The very structure of a sentence conveys meaning.

Readers expect the stress to lie at the beginning and end.

They take a breath at the beginning, but will run out ofbreath before the end if the structure is too complex, forinstance, if the subject is too far from the verb.

Writing a math paper: Language

Page 74: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

Some papers stagnate because they lack variety:The sentences begin the same way, run the same length,and are of the same type. The paragraphs have the samelength and structure.This should be avoided, if possible.

Don’t worry about varying your sentences and paragraphsat first; wait until you polish your writing.

Remember though, if you have to choose between fluidityand clarity, you must choose clarity.

The very structure of a sentence conveys meaning.

Readers expect the stress to lie at the beginning and end.

They take a breath at the beginning, but will run out ofbreath before the end if the structure is too complex, forinstance, if the subject is too far from the verb.

Writing a math paper: Language

Page 75: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

Some papers stagnate because they lack variety:The sentences begin the same way, run the same length,and are of the same type. The paragraphs have the samelength and structure.This should be avoided, if possible.

Don’t worry about varying your sentences and paragraphsat first; wait until you polish your writing.

Remember though, if you have to choose between fluidityand clarity, you must choose clarity.

The very structure of a sentence conveys meaning.

Readers expect the stress to lie at the beginning and end.

They take a breath at the beginning, but will run out ofbreath before the end if the structure is too complex, forinstance, if the subject is too far from the verb.

Writing a math paper: Language

Page 76: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

Some papers stagnate because they lack variety:The sentences begin the same way, run the same length,and are of the same type. The paragraphs have the samelength and structure.This should be avoided, if possible.

Don’t worry about varying your sentences and paragraphsat first; wait until you polish your writing.

Remember though, if you have to choose between fluidityand clarity, you must choose clarity.

The very structure of a sentence conveys meaning.

Readers expect the stress to lie at the beginning and end.

They take a breath at the beginning, but will run out ofbreath before the end if the structure is too complex, forinstance, if the subject is too far from the verb.

Writing a math paper: Language

Page 77: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

Some papers stagnate because they lack variety:The sentences begin the same way, run the same length,and are of the same type. The paragraphs have the samelength and structure.This should be avoided, if possible.

Don’t worry about varying your sentences and paragraphsat first; wait until you polish your writing.

Remember though, if you have to choose between fluidityand clarity, you must choose clarity.

The very structure of a sentence conveys meaning.

Readers expect the stress to lie at the beginning and end.

They take a breath at the beginning, but will run out ofbreath before the end if the structure is too complex, forinstance, if the subject is too far from the verb.

Writing a math paper: Language

Page 78: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Fluidity

Some papers stagnate because they lack variety:The sentences begin the same way, run the same length,and are of the same type. The paragraphs have the samelength and structure.This should be avoided, if possible.

Don’t worry about varying your sentences and paragraphsat first; wait until you polish your writing.

Remember though, if you have to choose between fluidityand clarity, you must choose clarity.

The very structure of a sentence conveys meaning.

Readers expect the stress to lie at the beginning and end.

They take a breath at the beginning, but will run out ofbreath before the end if the structure is too complex, forinstance, if the subject is too far from the verb.

Writing a math paper: Language

Page 79: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

Most people think and remember images, not abstractions,and images are clarified by illustrations.

Illustrations also provide pauses, so complex ideas can soakin.

Moreover, illustrations can make a paper more palatableand less forbidding.

However, the use of illustrations can be overdone; it mustfit the audience and the subject.

Illustrations cannot stand alone; they must be introducedin the text.

Assign them titles, like Figure 5-1 or Table 5-1, forreference.

Assign them captions that tell, independently of the text,what they are and how they differ from one another.

Writing a math paper: Language

Page 80: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

Most people think and remember images, not abstractions,and images are clarified by illustrations.

Illustrations also provide pauses, so complex ideas can soakin.

Moreover, illustrations can make a paper more palatableand less forbidding.

However, the use of illustrations can be overdone; it mustfit the audience and the subject.

Illustrations cannot stand alone; they must be introducedin the text.

Assign them titles, like Figure 5-1 or Table 5-1, forreference.

Assign them captions that tell, independently of the text,what they are and how they differ from one another.

Writing a math paper: Language

Page 81: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

Most people think and remember images, not abstractions,and images are clarified by illustrations.

Illustrations also provide pauses, so complex ideas can soakin.

Moreover, illustrations can make a paper more palatableand less forbidding.

However, the use of illustrations can be overdone; it mustfit the audience and the subject.

Illustrations cannot stand alone; they must be introducedin the text.

Assign them titles, like Figure 5-1 or Table 5-1, forreference.

Assign them captions that tell, independently of the text,what they are and how they differ from one another.

Writing a math paper: Language

Page 82: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

Most people think and remember images, not abstractions,and images are clarified by illustrations.

Illustrations also provide pauses, so complex ideas can soakin.

Moreover, illustrations can make a paper more palatableand less forbidding.

However, the use of illustrations can be overdone;

it mustfit the audience and the subject.

Illustrations cannot stand alone; they must be introducedin the text.

Assign them titles, like Figure 5-1 or Table 5-1, forreference.

Assign them captions that tell, independently of the text,what they are and how they differ from one another.

Writing a math paper: Language

Page 83: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

Most people think and remember images, not abstractions,and images are clarified by illustrations.

Illustrations also provide pauses, so complex ideas can soakin.

Moreover, illustrations can make a paper more palatableand less forbidding.

However, the use of illustrations can be overdone; it mustfit the audience and the subject.

Illustrations cannot stand alone; they must be introducedin the text.

Assign them titles, like Figure 5-1 or Table 5-1, forreference.

Assign them captions that tell, independently of the text,what they are and how they differ from one another.

Writing a math paper: Language

Page 84: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

Most people think and remember images, not abstractions,and images are clarified by illustrations.

Illustrations also provide pauses, so complex ideas can soakin.

Moreover, illustrations can make a paper more palatableand less forbidding.

However, the use of illustrations can be overdone; it mustfit the audience and the subject.

Illustrations cannot stand alone;

they must be introducedin the text.

Assign them titles, like Figure 5-1 or Table 5-1, forreference.

Assign them captions that tell, independently of the text,what they are and how they differ from one another.

Writing a math paper: Language

Page 85: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

Most people think and remember images, not abstractions,and images are clarified by illustrations.

Illustrations also provide pauses, so complex ideas can soakin.

Moreover, illustrations can make a paper more palatableand less forbidding.

However, the use of illustrations can be overdone; it mustfit the audience and the subject.

Illustrations cannot stand alone; they must be introducedin the text.

Assign them titles, like Figure 5-1 or Table 5-1, forreference.

Assign them captions that tell, independently of the text,what they are and how they differ from one another.

Writing a math paper: Language

Page 86: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

Most people think and remember images, not abstractions,and images are clarified by illustrations.

Illustrations also provide pauses, so complex ideas can soakin.

Moreover, illustrations can make a paper more palatableand less forbidding.

However, the use of illustrations can be overdone; it mustfit the audience and the subject.

Illustrations cannot stand alone; they must be introducedin the text.

Assign them titles, like Figure 5-1 or Table 5-1, forreference.

Assign them captions that tell, independently of the text,what they are and how they differ from one another.

Writing a math paper: Language

Page 87: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

Most people think and remember images, not abstractions,and images are clarified by illustrations.

Illustrations also provide pauses, so complex ideas can soakin.

Moreover, illustrations can make a paper more palatableand less forbidding.

However, the use of illustrations can be overdone; it mustfit the audience and the subject.

Illustrations cannot stand alone; they must be introducedin the text.

Assign them titles, like Figure 5-1 or Table 5-1, forreference.

Assign them captions that tell, independently of the text,what they are and how they differ from one another.

Writing a math paper: Language

Page 88: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

In addition, clearly label the parts of your illustrations.

Identify any unusual symbols of your diagrams in the text.

Don’t put too much information into one illustration,because papers without white space tire readers.

For the same reason, use adequate borders.

Smooth the transitions between your words and pictures.

First, match the information in your text and illustrations.

Second, place the illustrations closely after (never before)their references in the text.

Writing a math paper: Language

Page 89: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

In addition, clearly label the parts of your illustrations.Identify any unusual symbols of your diagrams in the text.

Don’t put too much information into one illustration,because papers without white space tire readers.

For the same reason, use adequate borders.

Smooth the transitions between your words and pictures.

First, match the information in your text and illustrations.

Second, place the illustrations closely after (never before)their references in the text.

Writing a math paper: Language

Page 90: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

In addition, clearly label the parts of your illustrations.Identify any unusual symbols of your diagrams in the text.

Don’t put too much information into one illustration,because papers without white space tire readers.

For the same reason, use adequate borders.

Smooth the transitions between your words and pictures.

First, match the information in your text and illustrations.

Second, place the illustrations closely after (never before)their references in the text.

Writing a math paper: Language

Page 91: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

In addition, clearly label the parts of your illustrations.Identify any unusual symbols of your diagrams in the text.

Don’t put too much information into one illustration,because papers without white space tire readers.

For the same reason, use adequate borders.

Smooth the transitions between your words and pictures.

First, match the information in your text and illustrations.

Second, place the illustrations closely after (never before)their references in the text.

Writing a math paper: Language

Page 92: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

In addition, clearly label the parts of your illustrations.Identify any unusual symbols of your diagrams in the text.

Don’t put too much information into one illustration,because papers without white space tire readers.

For the same reason, use adequate borders.

Smooth the transitions between your words and pictures.

First, match the information in your text and illustrations.

Second, place the illustrations closely after (never before)their references in the text.

Writing a math paper: Language

Page 93: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

In addition, clearly label the parts of your illustrations.Identify any unusual symbols of your diagrams in the text.

Don’t put too much information into one illustration,because papers without white space tire readers.

For the same reason, use adequate borders.

Smooth the transitions between your words and pictures.

First, match the information in your text and illustrations.

Second, place the illustrations closely after (never before)their references in the text.

Writing a math paper: Language

Page 94: Writing a Goals Writing a paper in mathematics: Languagemath.usask.ca/fvk/Presentation17.pdf · Writing a paper in mathematics: Language From \Writing a Math Phase Two Paper" by Steven

Writing amath paper:Language

Goals

Precision

Clarity

Familiarity

Forthrightness

Conciseness

Fluidity

Imagery

Imagery

In addition, clearly label the parts of your illustrations.Identify any unusual symbols of your diagrams in the text.

Don’t put too much information into one illustration,because papers without white space tire readers.

For the same reason, use adequate borders.

Smooth the transitions between your words and pictures.

First, match the information in your text and illustrations.

Second, place the illustrations closely after (never before)their references in the text.

Writing a math paper: Language