Dynamic Approach To Second Language Development
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Complex Dynamic Systems Theory in the field of
linguistics Linguistics is the scientific study of human language. It is called a scientific study because it entails a comprehensive, systematic, objective, and precise analysis of all aspects of language, particularly its nature and structure. Linguis ...
is a perspective and approach to the study of second, third and additional language acquisition. The general term Complex Dynamic Systems Theory was recommended by Kees de Bot to refer to both Complexity theory and
Dynamic systems theory Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called '' ...
.


Terminology

Numerous labels such as Chaos Theory, Complexity Theory, Chaos/Complexity Theory, Dynamic Systems Theory, Usage-based Theory have been used to the study of second language acquisition from a dynamic approach. However, Kees de Bot recommended the term Complex Dynamic Systems Theory in a chapter in Ortega and Han's edited book entitled 'Complexity Theory and Language Development in celebration of Diane Larsen-Freeman'. Ahmar Mahboob has applied Complexity Theory/Dynamic Systems Theory to a dynamic approach to language assessment. Herdina and Jessner in their Dynamic Model of Multilingualism (DMM) (2002) were the first scholars to use dynamic system, as well as complex system approaches to model third (and xth) language acquisition and development in a holistic systems framework. In 1997 Larsen-Freeman used the terms
chaos Chaos or CHAOS may refer to: Arts, entertainment and media Fictional elements * Chaos (''Kinnikuman'') * Chaos (''Sailor Moon'') * Chaos (''Sesame Park'') * Chaos (''Warhammer'') * Chaos, in ''Fabula Nova Crystallis Final Fantasy'' * Cha ...
and
complexity Complexity characterises the behaviour of a system or model whose components interaction, interact in multiple ways and follow local rules, leading to nonlinearity, randomness, collective dynamics, hierarchy, and emergence. The term is generall ...
in her seminal article.
Marjolijn Verspoor Marjolijn Verspoor (born 1952) is a Dutch linguist. She is a professor of English language and English as a second language at the University of Groningen, Netherlands. She is known for her work on Complex Dynamic Systems Theory and the applicati ...
recommended the terms Dynamic Usage-Based Theory.


Origins

The dynamic systems approach to second and additional language acquisition originates from
applied mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical s ...
which studies
dynamical systems In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a p ...
. The introduction of dynamic systems theory to study development in social sciences can be attributed to Esther Thelen who applied it to study motor development. She explained the
A-not-B error The A-not-B error is an incomplete or absent schema of object permanence, normally observed during the sensorimotor stage of Jean Piaget's Theory of Cognitive Development. A typical A-not-B task goes like this: An experimenter hides an attractive ...
from a dynamic systems theory perspective. Diane Larsen-Freeman in her article entitled "Chaos/Complexity Science and Second Language Acquisition", published in 1997, was the first scientist to suggest the application and the introduction of dynamic systems theory to study second language acquisition. In her article she claimed that language should be viewed as a dynamic system which is dynamic, complex, nonlinear, chaotic, unpredictable, sensitive to initial conditions, open, self-organizing, feedback sensitive, and adaptive.


Definition

In 1997, Larsen-Freeman published an article in which she claimed that second language acquisition should be viewed as a developmental process which includes
language attrition Language attrition is the process of losing a native or first language. This process is generally caused by both isolation from speakers of the first language ("L1") and the acquisition and use of a second language ("L2"), which interferes with ...
as well as language acquisition. Herdina and Jessner (2002) in their DMM specify that dynamic multilingual systems do not only involve language attrition but also general language effort (GLE), which can be regarded as the sum of language acquisition effort (LAE) and language maintenance effort (LME) and understood as the effort invested in language development. Second and additional language development is mainly studied by applying dynamical systems theory. In the DMM language is considered to be a system which includes many language subsystems. Dynamic systems are interconnected, nonlinear, adaptive, open, sensitive to initial conditions. Variability is seen as an inherent property of development and it is not viewed as
measurement error Observational error (or measurement error) is the difference between a measured value of a quantity and its true value.Dodge, Y. (2003) ''The Oxford Dictionary of Statistical Terms'', OUP. In statistics, an error is not necessarily a "mistake ...
, therefore from a dynamic systems perspective variability in the data is analysed and considered valuable information.


Main characteristics

The main characteristics of multilingual development from a dynamic systems perspective are: * Sensitive dependence on initial conditions * Complete interconnectedness * Nonlinearity in development * Change through internal reorganization (
self-organization Self-organization, also called spontaneous order in the social sciences, is a process where some form of overall order arises from local interactions between parts of an initially disordered system. The process can be spontaneous when suffi ...
) and interaction with the environment * Dependence on internal and external resources * Constant change, with chaotic variation sometimes, in which the systems only temporarily settle into attractor states *
Iteration Iteration is the repetition of a process in order to generate a (possibly unbounded) sequence of outcomes. Each repetition of the process is a single iteration, and the outcome of each iteration is then the starting point of the next iteration. ...
* Change caused by interaction with the environment and internal reorganization * Emergent properties There is sensitive dependence on initial conditions usually cited as the Butterfly effect. Different language learners start learning a second language (L2) with different background (different
motivation Motivation is the reason for which humans and other animals initiate, continue, or terminate a behavior at a given time. Motivational states are commonly understood as forces acting within the agent that create a disposition to engage in goal-dire ...
,
language aptitude Language learning aptitude refers to the "prediction of how well, relative to other individuals, an individual can learn a foreign language in a given amount of time and under given conditions". Foreign language aptitude itself has been defined as ...
etc.). The outcome critically depends on the initial conditions of the language learners. The systems of a language are completely interconnected. The development of the syntactic system affects the development of the lexical system and vice versa. Second language development is nonlinear that is language learners acquire new words in different tempo. On one day they might acquire ten new words, but the next day they may learn only one. On the third day they might even forget some of the previously learnt vocabulary. In second language development change occurs through self-organization which can take place unpredictably. Language learners' are dependent on internal and external resources. Internal resources are the motivational factors of the language learners, while the language teacher or the environment are examples of the external resources. The growth is described as an iterative process in second language development and it is often modelled by using coupled-equation models (
Logistic Equation A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with equation f(x) = \frac, where For values of x in the domain of real numbers from -\infty to +\infty, the S-curve shown on the right is obtained, with the ...
). In a study on the role of self-regulation in linguistic development, Wind and Harding (2020) found that the low degree of variability in lexical and syntactic complexity in writing might be attributed to salient attractor states that dominated the participant's self-regulatory systems.


Second and third language motivation

Dynamic systems theory has also been applied to study motivation in second and additional language learning. Motivational factors such as interest, boredom, anxiety are usually explicated as attractor states. Language motivation also fluctuates in time (on short time and long time scales). In 2014
Zoltán Dörnyei Zoltán Dörnyei () (11 March 1960  – 10 June 2022) was a Hungarian-born British linguist. He was a professor of psycholinguistics at the University of Nottingham in the United Kingdom. He was known for his work on second language acqui ...
's book ''Motivational'' ''Dynamics in Language Learning'' was influential in reorienting second language motivation research by claiming that motivation is dynamic. Herdina and Jessner (2002) point out in their DMM that the complexity of multilingual systems is partly due to a number of individual factors, such as attitude, motivation and anxiety.
Sarah Mercer Sarah Jane Mercer (born 1974) is a British linguist. She is currently the head of the Department of English Language Teaching at the University of Graz, Austria. Her research focuses on applied linguistics, with a special focus on psycholinguis ...
's journal article entitled ''Language learner self-concept: Complexity, continuity and change'', published in
System A system is a group of Interaction, interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its environment (systems), environment, is described by its boundaries, ...
in 2011, investigated the nature and dynamics of self-concept in language learning. She found that self-concept is perhaps best conceived of as a complex, multilayered, multidimensional network of interrelated self-beliefs.


Language assessment

Complexity Dynamic Systems Theory has also been applied to
language assessment Language assessment or language testing is a field of study under the umbrella of applied linguistics. Its main focus is the assessment of first, second or other language in the school, college, or university context; assessment of language use ...
(e.g. by
Ahmar Mahboob Ahmar Mahboob is a Pakistani linguist. Currently he is an associate professor at the Department of Linguistics at the University of Sydney. He has worked in the fields of language policy development, pidgin and creole languages, NNEST studies, ...
).


Methods and techniques

Second and additional language development is mainly studied by applying
time series In mathematics, a time series is a series of data points indexed (or listed or graphed) in time order. Most commonly, a time series is a sequence taken at successive equally spaced points in time. Thus it is a sequence of discrete-time data. Exa ...
data. It is contrasted with traditional techniques used in second language acquisition research such as
Cross-sectional data Cross-sectional data, or a cross section of a study population, in statistics and econometrics, is a type of data collected by observing many subjects (such as individuals, firms, countries, or regions) at the one point or period of time. The analy ...
research design (for example pre-test and post-test design) in
cross-sectional studies In medical research, social science, and biology, a cross-sectional study (also known as a cross-sectional analysis, transverse study, prevalence study) is a type of observational study that analyzes data from a population, or a representative su ...
. Studies on additional language development prefer the
case study A case study is an in-depth, detailed examination of a particular case (or cases) within a real-world context. For example, case studies in medicine may focus on an individual patient or ailment; case studies in business might cover a particular fi ...
approach rather than observing a larger population. Time-series data are usually plotted and inspected visually and correlations (usually
Spearman's rank correlation In statistics, Spearman's rank correlation coefficient or Spearman's ''ρ'', named after Charles Spearman and often denoted by the Greek letter \rho (rho) or as r_s, is a nonparametric measure of rank correlation ( statistical dependence betwe ...
coefficient since linguistic data are expected to be not normally distributed) are calculated. In 2002
Paul van Geert Paul van Geert is a Dutch linguist. He is currently a professor of developmental psychology at the University of Groningen, Netherlands. He is renowned for his work on developmental psychology and the application of dynamical systems theory in so ...
created techniques and methods to measure the degree of variability by applying min-max graphs, resampling techniques, and
Monte Carlo method Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results. The underlying concept is to use randomness to solve problems that might be determi ...
along with Marijn van Dijk. More recently the
Hidden Markov Model A hidden Markov model (HMM) is a statistical Markov model in which the system being modeled is assumed to be a Markov process — call it X — with unobservable ("''hidden''") states. As part of the definition, HMM requires that there be an ob ...
is used to detect phase shifts or transitional jumps in the development of language systems such as lexical or syntactic complexity. This model was first used for linguistic data by Chan in 2015 . Hiver and Al-Hoorie's article, published in ''
The Modern Language Journal ''The Modern Language Journal'' is a peer-reviewed academic journal published by Wiley-Blackwell on behalf of the National Federation of Modern Language Teachers Associations. It covers research and discussion about the learning and teaching of f ...
'' in 2016, provides a "Dynamic ensemble for second language research". They present a practical catalog of 9 considerations: 1. systems, 2. level of granularity, 3. context, 4. systemic networks, 5. dynamic processes, 6. emergent outcomes, 7. components, 8. interactions, and 9. parameters. Their scoping review also reviews the methodological trends and substantive contribution of Complex Dynamic Systems Theory over a decade and a half.


Criticism

The application of dynamical systems theory to study additional language acquisition has received criticism in the field. Gregg criticized Larsen-Freeman's book entitled ''Complex Systems and Applied Linguistics''. In contrast to traditional cross-sectional studies, the DST approach does not use componential observations,
generalizability Generalizability theory, or G theory, is a statistical framework for conceptualizing, investigating, and designing reliable observations. It is used to determine the reliability (i.e., reproducibility) of measurements under specific conditions. ...
, or linear causality.


Notable researchers

The following is a list of those researchers who support the idea that second, third, x-th language development should viewed from a dynamic systems perspective and have made major contributions to the field: * Ali H. Al-Hoorie,
Royal Commission for Jubail and Yanbu The Royal Commission for Jubail and Yanbu (RCJY) was established on 21 September 1975, as an autonomous organization of the Saudi Arabian Government. The commission is governed by a board of directors and its chairman reports to the Council of Mi ...
* Kees de Bot,
University of Groningen The University of Groningen (abbreviated as UG; nl, Rijksuniversiteit Groningen, abbreviated as RUG) is a Public university#Continental Europe, public research university of more than 30,000 students in the city of Groningen (city), Groningen in ...
* Marijn van Dijk,
University of Groningen The University of Groningen (abbreviated as UG; nl, Rijksuniversiteit Groningen, abbreviated as RUG) is a Public university#Continental Europe, public research university of more than 30,000 students in the city of Groningen (city), Groningen in ...
*
Zoltán Dörnyei Zoltán Dörnyei () (11 March 1960  – 10 June 2022) was a Hungarian-born British linguist. He was a professor of psycholinguistics at the University of Nottingham in the United Kingdom. He was known for his work on second language acqui ...
,
University of Nottingham The University of Nottingham is a public university, public research university in Nottingham, United Kingdom. It was founded as University College Nottingham in 1881, and was granted a royal charter in 1948. The University of Nottingham belongs t ...
* Nick Ellis,
University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...
*
Paul van Geert Paul van Geert is a Dutch linguist. He is currently a professor of developmental psychology at the University of Groningen, Netherlands. He is renowned for his work on developmental psychology and the application of dynamical systems theory in so ...
,
University of Groningen The University of Groningen (abbreviated as UG; nl, Rijksuniversiteit Groningen, abbreviated as RUG) is a Public university#Continental Europe, public research university of more than 30,000 students in the city of Groningen (city), Groningen in ...
* Phil Hiver,
Florida State University Florida State University (FSU) is a public research university in Tallahassee, Florida. It is a senior member of the State University System of Florida. Founded in 1851, it is located on the oldest continuous site of higher education in the st ...
*
Diane Larsen-Freeman Diane Larsen-Freeman (born 1946) is an American linguist. She is currently a Professor Emerita in Education and in Linguistics at the University of Michigan in Ann Arbor, Michigan. An applied linguist, known for her work in second language ac ...
,
University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...
* Wander Lowie,
University of Groningen The University of Groningen (abbreviated as UG; nl, Rijksuniversiteit Groningen, abbreviated as RUG) is a Public university#Continental Europe, public research university of more than 30,000 students in the city of Groningen (city), Groningen in ...
*
Brian MacWhinney Brian James MacWhinney (born August 22, 1945) is a Professor of Psychology and Modern Languages at Carnegie Mellon University. He specializes in first and second language acquisition, psycholinguistics, and the neurological bases of language, an ...
,
Carnegie Mellon University Carnegie Mellon University (CMU) is a private research university in Pittsburgh, Pennsylvania. One of its predecessors was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools; it became the Carnegie Institute of Technology ...
*
Sarah Mercer Sarah Jane Mercer (born 1974) is a British linguist. She is currently the head of the Department of English Language Teaching at the University of Graz, Austria. Her research focuses on applied linguistics, with a special focus on psycholinguis ...
,
University of Graz The University of Graz (german: link=no, Karl-Franzens-Universität Graz, ), located in Graz, Austria, is the largest and oldest university in Styria, as well as the second-largest and second-oldest university in Austria. History The unive ...
*
Marjolijn Verspoor Marjolijn Verspoor (born 1952) is a Dutch linguist. She is a professor of English language and English as a second language at the University of Groningen, Netherlands. She is known for her work on Complex Dynamic Systems Theory and the applicati ...
,
University of Groningen The University of Groningen (abbreviated as UG; nl, Rijksuniversiteit Groningen, abbreviated as RUG) is a Public university#Continental Europe, public research university of more than 30,000 students in the city of Groningen (city), Groningen in ...
* Philip Herdina and Ulrike Jessner-Schmid,
University of Innsbruck The University of Innsbruck (german: Leopold-Franzens-Universität Innsbruck; la, Universitas Leopoldino Franciscea) is a public research university in Innsbruck, the capital of the Austrian federal state of Tyrol, founded on October 15, 1669. ...


See also

* Theories of second-language acquisition *
Second-language acquisition Second-language acquisition (SLA), sometimes called second-language learning — otherwise referred to as L2 (language 2) acquisition, is the process by which people learn a second language. Second-language acquisition is also the scientific dis ...


References

{{Dynamic approach to second language development Second-language acquisition