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lexical density and readability: a case study of english textbooks

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Linguistic complexity

Lexical density

Readability

Lexical density is “the kind of complexity

that is typical of written language” (Halliday, 1985, p.62)

Linguistic complexity

Lexical density

Readability

Readability "depends on several factors including

the average length of sentences, the number of

new words contained, and the grammatical

complexity of the language used in a passage.”

(Richards, et al.,1992, p.306)

Identify the changes of lexical density and readability;

Discover the consistency between the measurements

of lexical density and readability.

Find out the relationship between lexical density,

readability and text levels;

1. How do lexical density and readability change across

levels in the selected texts in English textbooks?

2. What is the relationship between lexical density,

readability and text levels?

3. What is the correlation between the methods adopted to

access lexical density and readability?

How to measure LEXICAL DENSITY?

1. Ure’s method:

(Ure, 1971; Halliday, 1985)

Lexical density = the number of lexical items x 100

the total words

When you heat a liquid, it can change into gas.

Lexical density = the number of lexical items x 100

the total words

(Ure, 1971; Halliday, 1985)

When you heat a liquid, it can change into gas.

Lexical density: 40%

How to measure LEXICAL DENSITY?

1. Ure’s method:

Lexical density = the number of lexical items

the number of clauses

(Halliday, 1985)

How to measure LEXICAL DENSITY?

2. Halliday’s method:

When you heat a liquid, it can change into gas.

Lexical density: 2

Grammatical items:

Determiners, pronouns, most prepositions, conjunctions,

some classes of adverb and finite verbs. (Halliday, 1985)

Lexical items:

Nouns, verbs, adjectives and adverbs are the four word classes

belonging to lexical items (T.Le, Yue, & Le, 2011).

Some kinds of lexical items and grammatical

items were determined differently by linguists

and researchers in literature

(To, V. et al., 2013)

Halliday (1985) /Ure (1971): Phrasal verbs: give up, eat out

O’Loughlin (1995): All prepositions, conjunctions, quantifiers

Castello (2002, cited in Castello, 2008, p.56-57) :

3-word sequence prepositions: in view of, in terms of

open-class quantifiers: heaps of, a great deal of

complex conjunctions and subordinators: provided that,

regardless of

“it does not matter exactly where we draw

the line provided we do it consistently”. (Halliday, 1985, p.63)

Halliday (1985)

O’Loughlin (1995)

Ure (1971)

Castello (2002)

(To, V. et al., 2013b)

Word Class Notes

All NOUNS • university, David, Apple A compound noun /

phrasal verb /compound

adjective - a lexical item

E.g. long-term, eat out,

good-looking

All LEXICAL VERBS

• Eat, read, think

All ADJECTIVES

old, beautiful, useful

Two kinds of ADVERBS

• Manner adverbs: quickly, beautifully • Sentence adverbs: honestly, fortunately

Word class Examples

All PRONOUNS

• Personal pronouns I, you, she, them, one

• Demonstrative pronouns this, that, these, those

• Possessive pronouns mine, yours, his, hers, its,

• Reflexive pronouns myself, yourself, himself

• Indefinite pronouns nothing, anyone, another

Word class

Examples

All DETERMINERS

• Articles a, an, the

• Possessive

adjectives

my, your, his, her

• Quantifiers some, any, many, few,

• Numerals one, sixteen, second, third

Word class Examples

All FINITE VERBS

• Be

am, is, are, was, were, been

• Do

do, does, did

• Have

have, has, had

• Modals can, may, probably, certainly

Be, Do, Have as main verbs Lexical items

Be, Do, Have as auxiliaries Grammatical items

• I am a student. • I have cereal for breakfast. • The student did his homework.

• I am talking. He was beaten. • You have done a good job. • Did the student do his

homework?

Word class Examples

Some classes of ADVERBS

• Temporal adverbs • Locative adverbs

now, then, today, always, later, beforehand, afterwards here, there, below, above, outside, upstairs, indoors

• Degree adverbs very, too, so, rather, quite

• Negative and Interrogative ADV

Not, never, when, where, how

Word class Examples

All CONJUNCTIONS and, but, however, therefore

All PREPOSITIONS in, at, of, with, between

All DISCOURSE MARKERS Oh, well, you know, I mean

All INTERJECTIONS Oh, my god, my godness, gosh

All REACTIVE TOKENS yes, no, O.K, right, mm

“It is not always easy, however, to recognise what a

clause is. Again, for comparative purposes, the main

requirement is consistency”

(Halliday, 1985, p.67)

Hypotactic clauses:

|||Now, I often eat this soup ||when I am tired or worried.|||

Paratactic clauses:

|||Now, I often eat this soup || and it helps me feel better.|||

|||These students often feel overwhelmed ||and will put off doing

many things they need to.|||

Non-defining relative clauses:

|||The only Asian country to adopt it at that time was the Philippines,

||which the Spanish invaded in the sixteenth century.|||

(Halliday & Mathiessen, 2004; Lukin, 2013)

Defining relative clauses:

|| People everywhere appreciate individuals [[who are interested in getting to know them and learn about their ways of doing things]]||

Interrupting clauses

||They had to be transported, [[in order to reach safety]], through floodwaters.||

Non-finite clauses

|| [[ To be successful, and to enjoy your experience abroad,]] you must be flexible, open-minded, and both eager and willing to learn new ways of doing things. ||

(Humphrey et al., 2012; Lukin, 2013)

Reading Ease = 206.835 – 0.846 wl – 1.015 sl

(Flesch, 1948)

Flesch Reading Ease Description of style

0-30 Very difficult 30-50 Difficult 50-60 Fairly difficult 60-70 Standard

70-80 Fairly easy

80-90 Easy

90-100 Very easy

How to measure READABILITY?

3. Flesh’s method:

(Flesch, 1948)

Flesch Reading Ease Description of style

0-10 Very easy

10-20 Easy

20-30 Fairly easy 30-40 Standard

40-50 Fairly difficult 50-70 Difficult

70-100 Very difficult

Reading Ease = 206.835 – 0.846 wl – 1.015 sl

How to measure READABILITY?

3. Flesh’s method:

Elementary Pre-intermediate

Intermediate Upper-

intermediate

Text 1 Text 2 Text 3 Text 4

Lexical items

Total words

Ranking clauses

Halliday and Ure’s formulas

Flesch Reading Ease Scale

Correlation

(To, V. et al., 2013a)

Texts 1 (Elementary)

2 (Pre-

intermediate)

3 (Intermediate)

4 (Upper-

intermediate)

Total words 173 160 162 165

Lexical words 84 73 61 75

Ranking clauses 24 14 15 11

Lexical density

Ure’s method

49% 46% 38% 46%

Halliday’s method

3.5 5.2

4.1

6.8

Flesch’s method

25 53 48 44

LEXICAL DENSITY and READABILITY among chosen reading texts in English textbooks

Figure 1: Ure's method

49% 46%

38%

46%

0%

10%

20%

30%

40%

50%

60%

Text 1 Text 2 Text 3 Text 4

The changes of LEXICAL DENSITY across levels

Figure 2: Halliday's method

3.5

5.2

4.1

6.8

0

1

2

3

4

5

6

7

8

Text 1 Text 2 Text 3 Text 4

The changes of LEXICAL DENSITY across levels

25

53 48

44

0

10

20

30

40

50

60

Text 1 Text 2 Text 3 Text 4

The changes of READABILITY across levels

Figure 3: Flesh's method

The relationship between LEXICAL DENSITY, READABILITY and TEXT LEVELS

Levels Lexical density Readability

Ure’s method Halliday’s method

Flesh’s method

Elementary the highest the lowest the easiest

Pre-intermediate high high the most difficult

Intermediate the lowest high fairly difficult

Upper-Intermediate

high the highest fairly difficult

Texts Lexical density Correlation coefficient

Ure’s

method

Halliday’s

method

Flesch’s

method

Halliday &

Ure’s method

Halliday &

Flesch’s

method

Flesh & Ure’s

method

1 49 3.5 25

0.1

0.5

-0.6

2 46 5.2 53

3 38 4.1 48

4 46 6.8 44

The correlation between the methods employed

Ure’s method revealed that lexical density did not

match the text levels and text difficulty.

In contrast, Halliday’s method of lexical density

corresponded to the text levels and readability.

As for Flesh Reading Ease, readability increased from

low to high. However, the highest level did not entail

the highest readability.

1. Ure’s method:

Lexical density did not match the text levels and text difficulty

(Text 1 was the most dense; Text 3 was the least dense).

The texts chosen for the lexical density analysis in the four

books may not necessarily represent the complexity for each of

the books.

In this study, the density is only a factor for judging

complexity.

the ILLOGICAL result

2. Halliday’s method:

Lexical density corresponded to the text levels and readability.

(Text 1 was the least dense; Text 4 was the most dense)

It may convince us that Halliday's approach in measuring lexical

density is MORE CONSISTENT, thus more powerful.

Halliday-based findings are LOGICAL

3. Flesh’s Reading Ease Scale:

Readability increased from low to high. However the highest level

did not entail the highest readability.

(Text 2 was the most difficult)

Lexical density alone cannot fully explain about readability.

HALLIDAY 'S METHOD is CONSISTENT and applies well

in measuring lexical density in relation to other

grammatical features such as nominalisation,

grammatical metaphor, etc.

CONSISTENCY is important in analysing lexical density .

LEXICAL DENSITY is only ONE ASPECT of text

complexity. Thus it alone cannot completely explain

about readability.

This is only 'EXPLORATORY‘ study.

• The findings support HALLIDAY’S THEORY.

• Regarding URE’S METHOD and FLESH READING EASE

It raises more questions than answering .

Sentence structure

Nominalisation

Grammatical metaphor

Thematic structure

Anderson, N. J. (2003). Active Skills for Reading, Books 1 - 4. Boston: Heinle / Cengage.

Castello, E. (2008). Text complexity and reading comprehension tests. Bern: Peter Lang.

Flesch, R. F. (1948). A New Readability Yardstick. Journal of Applied Psychology, 32, 221-233.

Halliday, M. A. K. (1985). Spoken and written language. 1st ed. [Waurn Ponds], Vic: Deakin University.

Halliday, M. A. K., & Matthiessen, C. M. I. M. (2004). An introduction to functional grammar (3rd ed.). London: Arnold.

Humphrey, S., Droga, L. & Feez, S. (2012). Grammar and meaning. Newtown: PETAA.

Le.T., Yue, Y., & Le, Q. (2011). Linguistic complexity and its relation to language and literacy education. New York: Nova Science Publishers, Inc.

Lukin, A. (2013). Embedded Clause.: A guide for the confused but conscientious (Lecture). Macquarie University. Retrieved from http://vimeo.com/66871477

O'Loughlin, K. (1995). Lexical density in Candidate output on two versions of An oral Proficiency Test. Melbourne Papers in Language Teaching, 26-48.

Richards, J. C., Platt, J., & Platt, H. (1992). Longman dictionary of language teaching and applied linguistics. London: Longman.

To, V., Fan, S. & Thomas, DP. (2013a). Lexical density and Readability: A case study of English Textbooks. The International Journal of Language, Society and Culture, 37(7), 61-71.

To, V., Le, T.& Fan, S. (2013b). Different perspectives on linguistic complexity. In T.Le, Q.Le & Fan, S. (Eds), Innovative trends in Language and literacy education in a global discourse. Malaysia: Pearson Longman. (in press)

Ure, J. (1971). Lexical density and register differentiation. In G.E. Perren & J.L.M. Trimm (eds). Applications of Linguistics: selected papers of the 2nd International Congress of Applied Linguists, London: Cambridge University Press, 443-452.

Vinh To - University of Tasmania

[email protected]

Vinh Tô

@VinhTTo