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Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

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Page 1: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Bridging the GapLiteracy and Mathematics

Cheryl S. Latiolais

Page 2: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Literacy Issues

– Mathematics involves the usage of a very precise and unique language.

Page 3: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Literacy Issues

– Contextually based problems draw from a wide variety of applications which the students may not be familiar with in their own lives.

Page 4: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Literacy Issues

– Teachers of mathematics must actively pursue literacy strategies to assist students in becoming mathematically literate.

Page 5: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

The Elements of Literacy

Thinking

Reading Listening

SpeakingWriting

Page 6: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

The Elements of Math

• Mathematical Reasoning– Technology– Symbolic representation– Tools of measurement

Page 7: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

What has this got to do with us?

• In urban settings achievement in literacy and mathematics often lags…– Greater incidence of the following contributing

factors.• Low socio-economic status• English as a second language• Special education and 504

Page 8: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

How do we help all students?

• Incorporating English Learner Strategies in Mathematics Courses for Teachers.

– Jacobs & Winicki-Landman

Page 9: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Mathematics as a Second Language

• Reform-based curricular materials set mathematics instruction deeply within contextually based problems

– Wilson, et al

Page 10: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Selected Strategies for Mathematics Instruction-Castillo and Peraza

Strategy Description1 Predictable Routines and Signals Reducing anxiety non-language based

classroom management

2

3

4

5

6

Page 11: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Selected Strategies for Mathematics Instruction-Castillo and Peraza

Strategy Description1 Predictable Routines and Signals Reducing anxiety non-language based

classroom management

2 Advanced Organizers Informing students of the learning goals

3

4

5

6

Page 12: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Selected Strategies for Mathematics Instruction-Castillo and Peraza

Strategy Description1 Predictable Routines and Signals Reducing anxiety non-language based

classroom management

2 Advanced Organizers Informing students of the learning goals

3 Preview/Review Building vocabulary and concepts to support understanding, summarizing, synthesizing

4

5

6

Page 13: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Selected Strategies for Mathematics Instruction-Castillo and Peraza

Strategy Description1 Predictable Routines and Signals Reducing anxiety non-language based

classroom management

2 Advanced Organizers Informing students of the learning goals

3 Preview/Review Building vocabulary and concepts to support understanding, summarizing, synthesizing

4 Academic language scaffolding Supporting student use of language in academic settings (sentence frames)

5

6

Page 14: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Selected Strategies for Mathematics Instruction-Castillo and Peraza

Strategy Description1 Predictable Routines and Signals Reducing anxiety non-language based

classroom management

2 Advanced Organizers Informing students of the learning goals

3 Preview/Review Building vocabulary and concepts to support understanding, summarizing, synthesizing

4 Academic language scaffolding Supporting student use of language in academic settings (sentence frames)

5 Visual

Scaffolding/Imaging

Provide language support through visual images (Multiple representations)

6

Page 15: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Selected Strategies for Mathematics Instruction-Castillo and Peraza

Strategy Description1 Predictable Routines and Signals Reducing anxiety non-language based

classroom management

2 Advanced Organizers Informing students of the learning goals

3 Preview/Review Building vocabulary and concepts to support understanding, summarizing, synthesizing

4 Academic language scaffolding Supporting student use of language in academic settings (sentence frames)

5 Visual

Scaffolding/Imaging

Provide language support through visual images (Multiple representations)

6 Vocabulary Development Word Walls, Dictionaries

Displaying and organizing words for easy access.

Page 16: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Strategy Description7 Communication

Practices/Cooperative group workCreating opportunities for verbal interaction about the mathematics.

8

9

10

11

12

13

14

Page 17: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Strategy Description7 Communication

Practices/Cooperative group workCreating opportunities for verbal interaction about the mathematics.

8 Modified teacher speech Paraphrasing, repeat idea with correct vocabulary, adjust rate of speech, enunciate clearly

9

10

11

12

13

14

Page 18: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Strategy Description7 Communication

Practices/Cooperative group workCreating opportunities for verbal interaction about the mathematics.

8 Modified teacher speech Paraphrasing, repeat idea with correct vocabulary, adjust rate of speech, enunciate clearly

9 Leveled Questions Adjusting questioning strategies to the language and mathematics levels of students

10

11

12

13

14

Page 19: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Strategy Description7 Communication

Practices/Cooperative group workCreating opportunities for verbal interaction about the mathematics.

8 Modified teacher speech Paraphrasing, repeat idea with correct vocabulary, adjust rate of speech, enunciate clearly

9 Leveled Questions Adjusting questioning strategies to the language and mathematics levels of students

10 Story Reenactment Making mathematics come to life

11

12

13

14

Page 20: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Strategy Description7 Communication

Practices/Cooperative group workCreating opportunities for verbal interaction about the mathematics.

8 Modified teacher speech Paraphrasing, repeat idea with correct vocabulary, adjust rate of speech, enunciate clearly

9 Leveled Questions Adjusting questioning strategies to the language and mathematics levels of students

10 Story Reenactment Making mathematics come to life

11 Realia Strategies Connecting concept acquisition using real world objects

12

13

14

Page 21: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Strategy Description7 Communication

Practices/Cooperative group workCreating opportunities for verbal interaction about the mathematics.

8 Modified teacher speech Paraphrasing, repeat idea with correct vocabulary, adjust rate of speech, enunciate clearly

9 Leveled Questions Adjusting questioning strategies to the language and mathematics levels of students

10 Story Reenactment Making mathematics come to life

11 Realia Strategies Connecting concept acquisition using real world objects

12 Manipulatives Using specially designed object to connect concepts

13

14

Page 22: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Strategy Description7 Communication

Practices/Cooperative group workCreating opportunities for verbal interaction about the mathematics.

8 Modified teacher speech Paraphrasing, repeat idea with correct vocabulary, adjust rate of speech, enunciate clearly

9 Leveled Questions Adjusting questioning strategies to the language and mathematics levels of students

10 Story Reenactment Making mathematics come to life

11 Realia Strategies Connecting concept acquisition using real world objects

12 Manipulatives Using specially designed object to connect concepts

13 Total Physical Response Integrating movement into concept acquisition

14

Page 23: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Strategy Description7 Communication

Practices/Cooperative group workCreating opportunities for verbal interaction about the mathematics.

8 Modified teacher speech Paraphrasing, repeat idea with correct vocabulary, adjust rate of speech, enunciate clearly

9 Leveled Questions Adjusting questioning strategies to the language and mathematics levels of students

10 Story Reenactment Making mathematics come to life

11 Realia Strategies Connecting concept acquisition using real world objects

12 Manipulatives Using specially designed object to connect concepts

13 Total Physical Response Integrating movement into concept acquisition

14 Modified assessment Less paper and pencil assessment

Page 24: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Scaffolding Mathematics Instruction

-Aida Walqui

Page 25: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Scaffolding Mathematics Instruction-Aida Walqui

• Modeling

Page 26: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Scaffolding Mathematics Instruction-Aida Walqui

• Modeling

• Bridging

Page 27: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Scaffolding Mathematics Instruction-Aida Walqui

• Modeling

• Bridging

• Contextualization

Page 28: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Scaffolding Mathematics Instruction-Aida Walqui

• Modeling

• Bridging

• Contextualization

• Schema Building

Page 29: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Scaffolding Mathematics Instruction-Aida Walqui

• Modeling

• Bridging

• Contextualization

• Schema Building

• Text Re-presentation

Page 30: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Scaffolding Mathematics Instruction-Aida Walqui

• Modeling

• Bridging

• Contextualization

• Schema Building

• Text Re-presentation

• Metacognitive Development

Page 31: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

A Method We Can Use

• S-W-B-S– Someone wants to know… but…, so… .

Page 32: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Someone wants to know…, but…, so… .

Vicki works as a salesclerk in a clothing store. She earns $10.00 per hour plus a commission of 6% of her total sales. Which equation represents e, her total earnings when she works h hours and sells a total of d dollars in merchandise?

Page 33: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Someone wants to know…, but…, so… .

• Commission

Page 34: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Someone wants to know…, but…, so… .

Vicki works as a salesclerk in a clothing store. She earns $10.00 per hour plus a commission of 6% of her total sales. Which equation represents e, her total earnings when she works h hours and sells a total of d dollars in merchandise?

Page 35: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Someone wants to know?

• …..Vicki wants to know her total earnings…

Page 36: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Someone wants to know…, but…, so… .

Vicki works as a salesclerk in a clothing store. She earns $10.00 per hour plus a commission of 6% of her total sales. Which equation represents e, her total earnings when she works h hours and sells a total of d dollars in merchandise?

Page 37: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

But…?

Writing the but statement forces students to articulate what is confusing to them…

2 INDEPENDENT VARIABLES

Page 38: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

But…?

but, ….we only know how that she earns 10 dollars per hour, and .06 commission on total sales…

Page 39: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Someone wants to know…, but…, so… .

Vicki works as a salesclerk in a clothing store. She earns $10.00 per hour plus a commission of 6% of her total sales. Which equation represents e, her total earnings when she works h hours and sells a total of d dollars in merchandise?

Page 40: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

SO…

• Writing the so statement forces students to think about and articulate how to solve.

WRITING THE EQUATION IN WORDS…

Page 41: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

So..

so, how much Vicki earns depends on how much she earns per hour plus her commission on how much she sells.

e = 10h + .06d

Page 42: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Acknowledgements

• Acknowledgements:– Jackie Sack, MLI, Rice University– Alison McCowan, literacy coach, James

Madison High School, HISD

Page 43: Bridging the Gap Literacy and Mathematics Cheryl S. Latiolais

Works Cited

Aida Walqui, R & D Alert, A Publication of West Ed. (2004)

Lloyd, G.M., Wilson, M., Wilkins, J. L. M., & Behm, S.L. (Eds.). (2005)

Proceedings of the 27th annual meeting of the North American Chapter of the International Group for Psychology of Mathematics Education

Juan Castillo and Nitza Peraza, (2005) Bassett Unified School District,

La Puente, California

Judith E. Jacobs & Greisy Winicki-Landman, (2007) California State Polytechnic University, Pomona