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Simulating and evaluating individualized cognitive abilities of Iranian EFL learners in orthography acquisition using multi-layer perceptron neural network–gray wolf optimizer computational model

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Abstract

Awareness, short-term memory, and long-term memory are interrelated cognitive abilities that influence orthographic acquisition under Individual Differences. Connectionists ignore the role of biological grammar in language acquisition and consider external inputs or interventions as factors that shape abstract grammar through network mapping architecture. As new intervention methods, the use of computers in connectionist modeling of language acquisition has increasingly been developed through Artificial Neural Networks. New optimized and accurate computational models have not been applied to investigate foreign language orthography acquisition. The purpose of the present study is to use Multi-Layer Perceptron Neural Network-Gray Wolf Optimizer computational model to simulate and evaluate individualized cognitive abilities including orthographic awareness, orthographic short-term memory-related, and orthographic long-term memory-related abilities of Iranian English as Foreign Language learners in orthography acquisition. Eighteen Iranian learners were randomly selected and non-randomly assigned into three low-labeled, mean-labeled, and high-labeled groups for the experiment. In a mixed-methods design, three Multi-Layer Perceptron Neural Network-Gray Wolf Optimizers were established to solve the mapping problem i.e., English plural noun variation orthography. ANOVA was used for analyzing Mean Squared Errors and content analysis was used for interpreting interviews and observations. Results indicated that not only the orthographic awareness and short-term memory-related abilities are more important in predicting acquisition competence than the orthographic long-term memory-related ability but also they give compensatory support to long-term memory-related ability. The proposed valid and reliable model can be used to generate hypotheses related to Individual Differences. Findings are discussed and relevant implications are drawn for teachers and practitioners.

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Data availability

The datasets generated during and / or analyzed during the current study are available from corresponding author on reasonable request.

Notes

  1. - Numbers in the neuron cell are not real; they are only for binary (0-1) demonstration.

  2. Colors in the legend of the figures indicate the following: red refers to the performance in the first week, pink refers to the performance in the second week, blue refers to the performance in the third week, green refers to the performance in the fourth week, cyan refers to the performance in the fifth week, yellow refers to the performance in sixth week, brown refers to the performance in seventh week, purple refers to the performance in the eighth week, and gray refers to MLPNN index. The learner’s code and tasks’ numbers are abbreviated. For example, S1T1, S1T2, and S1T3 refer to the first EFL learner who performed the Task (A), Task (B), and Task (C) respectively.

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Correspondence to Mansoor Tavakoli.

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Appendices

Appendix A

Dataset1 (English Nouns and its Plural Variation Orthographies Used in Task A)

Week Number

English Nouns

Binary Code Used

Plural Making Orthography

Binary Code Used

1

Pen

010000000000000000000000000000000

[s]

10111

Stamp

001000000000000000000000000000000

[s]

10111

Ticket

000100000000000000000000000000000

[s]

10111

Dinner

000010000000000000000000000000000

[s]

10111

Socks

000001000000000000000000000000000

[ɸ]

00000

Study

000000100000000000000000000000000

[es]

10011

Pilot

000000010000000000000000000000000

[s]

10111

2

Nephew

000000001000000000000000000000000

[s]

10111

Pants

000000000100000000000000000000000

[ɸ]

00000

August

100000000000000000000000000000000

[s]

10111

Taxi

000000000010000000000000000000000

[es]

10011

Kitchen

000000000001000000000000000000000

[s]

10111

Mouse

000000000000100000000000000000000

[vc]

11111

Plant

000000000000010000000000000000000

[s]

10111

3

Sugar

000000000000001000000000000000000

[s]

10111

Stairs

000000000000000100000000000000000

[ɸ]

00000

Candy

000000000000000010000000000000000

[es]

10011

Street

000000000000000001000000000000000

[s]

10111

Foot

000000000000000000100000000000000

[vc]

11111

Daughter

000000000000000000010000000000000

[s]

10111

April

000000000000000000001000000000000

[s]

10111

4

Singer

000000000000000000000100000000000

[s]

10111

Ferry

000000000000000000000010000000000

[es]

10011

Parrot

000000000000000000000001000000000

[s]

10111

Tooth

000000000000000000000000100000000

[vc]

11111

Jacket

000000000000000000000000010000000

[s]

10111

Shorts

000000000000000000000000001000000

[ɸ]

00000

Skirt

000000000000000000000000000100000

[s]

10111

5

Raincoat

000000000000000000000000000010000

[s]

10111

Model

000000000000000000000000000001000

[s]

10111

Scarf

000000000000000000000000000000100

[es]

10011

Earrings

000000000000000000000000000000010

[ɸ]

00000

Start

000000000000000000000000000000001

[s]

10111

Finish

110000000000000000000000000000000

[es]

10011

Goose

101000000000000000000000000000000

[vc]

11111

6

Tiger

100100000000000000000000000000000

[s]

10111

Woman

100010000000000000000000000000000

[vc]

11111

Blank

100001000000000000000000000000000

[s]

10111

World

100000100000000000000000000000000

[s]

10111

Anthem

100000010000000000000000000000000

[s]

10111

Police

100000001000000000000000000000000

[ɸ]

00000

Bus

100000000100000000000000000000000

[es]

10011

7

Teacher

100000000010000000000000000000000

[s]

10111

Drink

100000000001000000000000000000000

[s]

10111

Curtains

100000000000100000000000000000000

[ɸ]

00000

Garage

100000000000010000000000000000000

[s]

10111

Mother

100000000000001000000000000000000

[s]

10111

Toilet

100000000000000100000000000000000

[s]

10111

Factory

100000000000000010000000000000000

[es]

10011

8

Box

100000000000000001000000000000000

[es]

10011

Sister

100000000000000000100000000000000

[s]

10111

Ceiling

100000000000000000010000000000000

[s]

10111

Man

100000000000000000001000000000000

[vc]

11111

Potato

100000000000000000000100000000000

[es]

10011

Scissors

100000000000000000000010000000000

[ɸ]

00000

Pajamas

100000000000000000000001000000000

[ɸ]

00000

Cactus

100000000000000000000000100000000

[vc]

11111

Square

100000000000000000000000010000000

[s]

10111

Water

100000000000000000000000001000000

[s]

10111

Dataset2 (English Nouns and its Plural Variation Orthographies Used in Task B)

Week Number

English Nouns

Binary Code Used

Plural Making Orthography

Binary Code Used

1

Classroom

010000000000000000000000000000000

[s]

10111

Board

001000000000000000000000000000000

[s]

10111

Book

000100000000000000000000000000000

[s]

10111

Calculator

000010000000000000000000000000000

[s]

10111

Boots

000001000000000000000000000000000

[ɸ]

00000

City

000000100000000000000000000000000

[es]

10011

Clock

000000010000000000000000000000000

[s]

10111

2

Pencil

000000001000000000000000000000000

[s]

10111

Jeans

000000000100000000000000000000000

[ɸ]

00000

Notebook

100000000000000000000000000000000

[s]

10111

Address

000000000010000000000000000000000

[es]

10011

Chair

000000000001000000000000000000000

[s]

10111

Salesman

000000000000100000000000000000000

[vc]

11111

Briefcase

000000000000010000000000000000000

[s]

10111

3

Table

000000000000001000000000000000000

[s]

10111

Parents

000000000000000100000000000000000

[ɸ]

00000

Family

000000000000000010000000000000000

[es]

10011

Camera

000000000000000001000000000000000

[s]

10111

Saleswoman

000000000000000000100000000000000

[vc]

11111

Map

000000000000000000010000000000000

[s]

10111

Friend

000000000000000000001000000000000

[s]

10111

4

Cap

000000000000000000000100000000000

[s]

10111

Tennis

000000000000000000000010000000000

[es]

10011

Language

000000000000000000000001000000000

[s]

10111

Policeman

000000000000000000000000100000000

[vc]

11111

Student

000000000000000000000000010000000

[s]

10111

Clothes

000000000000000000000000001000000

[ɸ]

00000

Suit

000000000000000000000000000100000

[s]

10111

5

Blouse

000000000000000000000000000010000

[s]

10111

Conference

000000000000000000000000000001000

[s]

10111

Gallery

000000000000000000000000000000100

[es]

10011

Physics

000000000000000000000000000000010

[ɸ]

00000

Walk

000000000000000000000000000000001

[s]

10111

Lobby

110000000000000000000000000000000

[es]

10011

Policewoman

101000000000000000000000000000000

[vc]

11111

6

Breakfast

100100000000000000000000000000000

[s]

10111

Snowman

100010000000000000000000000000000

[vc]

11111

House

100001000000000000000000000000000

[s]

10111

Subway

100000100000000000000000000000000

[s]

10111

Down town

100000010000000000000000000000000

[s]

10111

Butter

100000001000000000000000000000000

[ɸ]

00000

Country

100000000100000000000000000000000

[es]

10011

7

Elevator

100000000010000000000000000000000

[s]

10111

Closet

100000000001000000000000000000000

[s]

10111

Headphones

100000000000100000000000000000000

[ɸ]

00000

Cashier

100000000000010000000000000000000

[s]

10111

Lawyer

100000000000001000000000000000000

[s]

10111

Cake

100000000000000100000000000000000

[s]

10111

Brush

100000000000000010000000000000000

[es]

10011

8

Mango

100000000000000001000000000000000

[es]

10011

Hockey

100000000000000000100000000000000

[s]

10111

Guitar

100000000000000000010000000000000

[s]

10111

Snow woman

100000000000000000001000000000000

[vc]

11111

Party

100000000000000000000100000000000

[es]

10011

Shirts

100000000000000000000010000000000

[ɸ]

00000

Glasses

100000000000000000000001000000000

[ɸ]

00000

Louse

100000000000000000000000100000000

[vc]

11111

Picnic

100000000000000000000000010000000

[s]

10111

Message

100000000000000000000000001000000

[s]

10111

Dataset3 (English Nouns and its Plural Variation Orthographies Used in Task C)

Week Number

English Nouns

Binary Code Used

Plural Making Orthography

Binary Code Used

2

City

000000100000000000000000000000000

[es]

10,011

Clock

000000010000000000000000000000000

[s]

10,111

Classroom

010000000000000000000000000000000

[s]

10,111

Board

001000000000000000000000000000000

[s]

10,111

Book

000100000000000000000000000000000

[s]

10,111

Calculator

000010000000000000000000000000000

[s]

10,111

Boots

000001000000000000000000000000000

[ɸ]

00,000

3

Salesman

000000000000100000000000000000000

[vc]

11,111

Briefcase

000000000000010000000000000000000

[s]

10,111

Address

000000000010000000000000000000000

[es]

10,011

Chair

000000000001000000000000000000000

[s]

10,111

Pencil

000000001000000000000000000000000

[s]

10,111

Jeans

000000000100000000000000000000000

[ɸ]

00,000

Notebook

100000000000000000000000000000000

[s]

10,111

4

Saleswoman

000000000000000000100000000000000

[vc]

11,111

Map

000000000000000000010000000000000

[s]

10,111

Friend

000000000000000000001000000000000

[s]

10,111

Parents

000000000000000100000000000000000

[ɸ]

00,000

Family

000000000000000010000000000000000

[es]

10,011

Camera

000000000000000001000000000000000

[s]

10,111

Table

000000000000001000000000000000000

[s]

10,111

5

Clothes

000000000000000000000000001000000

[ɸ]

00,000

Suit

000000000000000000000000000100000

[s]

10,111

Policeman

000000000000000000000000100000000

[vc]

11,111

Student

000000000000000000000000010000000

[s]

10,111

Tennis

000000000000000000000010000000000

[es]

10,011

Language

000000000000000000000001000000000

[s]

10,111

Cap

000000000000000000000100000000000

[s]

10,111

6

Walk

000000000000000000000000000000001

[s]

10,111

Lobby

110000000000000000000000000000000

[es]

10,011

Policewoman

101000000000000000000000000000000

[vc]

11,111

Conference

000000000000000000000000000001000

[s]

10,111

Gallery

000000000000000000000000000000100

[es]

10,011

Physics

000000000000000000000000000000010

[ɸ]

00,000

Blouse

000000000000000000000000000010000

[s]

10,111

7

Downtown

100000010000000000000000000000000

[s]

10,111

Butter

100000001000000000000000000000000

[ɸ]

00,000

Country

100000000100000000000000000000000

[es]

10,011

Breakfast

100100000000000000000000000000000

[s]

10,111

Snowman

100010000000000000000000000000000

[vc]

11,111

House

100001000000000000000000000000000

[s]

10,111

Subway

100000100000000000000000000000000

[s]

10,111

8

Lawyer

100000000000001000000000000000000

[s]

10,111

Cake

100000000000000100000000000000000

[s]

10,111

Brush

100000000000000010000000000000000

[es]

10,011

Closet

100000000001000000000000000000000

[s]

10,111

Headphones

100000000000100000000000000000000

[ɸ]

00,000

Cashier

100000000000010000000000000000000

[s]

10,111

Elevator

100000000010000000000000000000000

[s]

10,111

9

Louse

100000000000000000000000100000000

[vc]

11,111

Picnic

100000000000000000000000010000000

[s]

10,111

Message

100000000000000000000000001000000

[s]

10,111

Party

100000000000000000000100000000000

[es]

10,011

Shirts

100000000000000000000010000000000

[ɸ]

00,000

Glasses

100000000000000000000001000000000

[ɸ]

00,000

Mango

100000000000000001000000000000000

[es]

10,011

Hockey

100000000000000000100000000000000

[s]

10,111

Guitar

100000000000000000010000000000000

[s]

10,111

Snowwoman

100000000000000000001000000000000

[vc]

11,111

Appendix B

figure a

Appendix C

Tables 10, 11, and 12

Table 10 MSEs of Low-labeled EFL Participants (Learners) in Three Cognitive Tasks
Table 11 MSEs of Medium-labeled EFL Participants (Learners) in Three Cognitive Tasks
Table 12 MSEs of High-labeled EFL Participants (Learners) in Three Cognitive Tasks

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Parvizi, GR., Tavakoli, M., Amiryousefi, M. et al. Simulating and evaluating individualized cognitive abilities of Iranian EFL learners in orthography acquisition using multi-layer perceptron neural network–gray wolf optimizer computational model. Educ Inf Technol 29, 5753–5806 (2024). https://doi.org/10.1007/s10639-023-11825-2

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