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Page 1: The Commutability Paradigm Patrick Proctor February 25, 2008.

The Commutability Paradigm

Patrick Proctor

February 25, 2008

Page 2: The Commutability Paradigm Patrick Proctor February 25, 2008.

Linguistic Interdependence (Cummins, 1979)

L1 L2

Common Underlying Proficiency

Page 3: The Commutability Paradigm Patrick Proctor February 25, 2008.

Linguistic InterdependenceIf L1 is good, likely L2 is good

Younger Kids

- Goldenberg (1994): concepts of print, letter

names and sounds, rich linguistic input

- Lesaux & Siegel (2003): K-2 ELLs in Canada comparable to monolinguals– Update, Lesaux, Rupp, & Siegel (2007): ELLs

and monolinguals look comparable over time

Page 4: The Commutability Paradigm Patrick Proctor February 25, 2008.

Linguistic InterdependenceIf L1 is good, likely L2 is good

Older Kids

- Jiménez, García, & Pearson (2006): Reading strategies, translation, cognate awareness

- Proctor et al. (2005, 2006): English reading looks comparable to monolinguals, Spanish vocabulary affects English reading for average to good English readers

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Reflect

Do these studies prove the interdependence hypothesis?

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Sort of…Linguistic Interdependence is slightly

underspecified in that it doesn’t explicitly

consider:• L1 of the learner• Individual literacy skills

– “size”

– Metalinguistics

• L1 literacy development is key

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Size and metalinguistics

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TOMAR

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TOMARv. To take

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RÁPIDO

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RÁPIDOadj. Fast, rapid

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Mi mamá es inteligente.

My mother is smart/intelligent.

Si mi mamá fuera inteligente, sería feliz.

If my mother were intelligent, I’d be happy.

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Nature of the L1

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AMARILLO

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ROJO

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AZUL

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VERDE

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RED

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YELLOW

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GREEN

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BLUE

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Commutability Paradigm

Typological Relationships

Between Languages

MetalinguisticNature of the SkillDomain

Size of the Skill Domain

Commutability

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Limits on Transfer

Different skills cross languages in different ways…• Print concepts• Alphabetics• Phonemics• Vocabulary • Strategies

Defining those limits determines commutability

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Orders of magnitude

What skills are more or less likely to transfer?

L1 = Spanish vs. L1 = Arabic

Listening comprehension

Alphabetic knowledge

Vocabulary knowledge

Sound-symbol understanding

Reading comprehension

Page 33: The Commutability Paradigm Patrick Proctor February 25, 2008.

Commutability Model*

* Same sample and measures from students from Proctor et al. (2005, 2006). Oral language = vocabulary knowledge + listening comprehension; Spanish-English decoding = Spanish alphabetic knowledge + English alphabetic knowledge.Fit indices: (2 (2, N=91) = 1.88, p = .39)

Page 34: The Commutability Paradigm Patrick Proctor February 25, 2008.

Commutability ParadigmSize, orthography, grammar/syntax, metalinguistics

Consider again…

My mother is intelligent

Mi mamá es inteligente

ذكية هي أمي           我 媽媽 很 聰明

Page 35: The Commutability Paradigm Patrick Proctor February 25, 2008.

Application to practice


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