Integrating Reading and Writing Strategies with Math Processes
Reading Comprehension
· Making connections
· Asking questions
· Visualizing
· Inferring and predicting
· Determining importance
· Synthesizing
· Metacognitive monitoring
Five key Cognitive Processes for Understanding in Math
· Problem solving
· Reasoning and proof
· Communication
· Connections
· Representations
What principles can we use to modify a reading strategy to help students with the mathematical process.
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Problem Solving
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Reasoning and proof
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Communication
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Connections
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Representations
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Making Connections
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Vocabulary LETRS Strategies (orthology)
Root and base word
Academic/CSAP vocabulary
Recognizing signal words
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Manipulatives, physicalization
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Thought mapping
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Asking Questions
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KWC
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Compare and Contrast (McREL)
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SQRQCQ
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Visualizing
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Composing and decomposing numbers (Knowing Mathematics)
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Inferring and predicting
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KWC
Guess and check
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Think and search (probabilities)
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Determining importance
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Writing down what you know
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Cornell notes
GIST(summarizing the problem)
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Graphic organizers
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Synthesizing
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Constructed response
rewording
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RAFTS(fraction talking to a decimal)
Reciprical teaching
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Text to life
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Graphing
Charting
Showing steps
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Metacognitive monitoring
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Exemplars
Cornell Notes
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Exemplars
REAP
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Exemplars
Math journals
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Exemplars
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Exemplars
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4/4/2008
Team Members:
Dorian Lee, Glenda Mechling, Kim Bolling, Suzette Pope, and Julie Shaw
Draft of Potential Research Questions:
How can we better define and refine literacy strategies in math?
Resources:
Use this space to link or attach files for your ART members to examine.
http://math.about.com/library/weekly/aa123001a.htm
(number of sites for math as well as journal prompts for writing in math)
Innovation in D11 throughout grades (as we have witnessed)
- Exemplars, writing in mathematics problemsolving: rubric, anchor papers , systematic problem solving (K-8)
- Reflective writing in math journals
- study guide/Cornell notes for math
- Interactive notebooks with teacher comments (1-12)
- Constructed response/demonstrating understanding (K-12)
- Program: Everyday Math
- Algebraic thinking
- Collaboration with instructors
- Emphasis on questioning (inquiry/discovery/disequalibrium)
- Moving with Math (intervention)
- Orchard (secondary intervention)
http://www.literacymatters.org/content/math.htm
Rich site for all content areas
References
Bergeson, T. (2001). Teaching and learning mathematics. www.k12.wa.us
Burns, M. (1987). A collection of math lessons: From grades 3 - 6. Math Solutions Publications: CA.
Burns, M. (1992). About teaching mathematics: A K - 5 resource. Math Solutions Publications: CA.
Burns, M. (1995). Writing in math class. Math Solutions Publications: CA.
Ma, L. (2001). Knowing and teaching elementary mathematics.
Math solutions publications. (2005). Teaching number sense K - 2. Math Solutions Publications: CA.
Martinez, J. & Martinez, N. (2001). Reading and writing to learn mathematics. Pearson: MA.
McREL. (2002). ED thoughts: what we know about mathematics teaching and learning. McREL: CO
NCTM. (2002). Navigation series. NCTM: VA.
NCTM. (2005). Mathematics assessment. Cases, discussion questions, and practical handbook grades K - 12. NCTM: VA.
Readence, J. (2001) Content area literacy. Kendall/Hunt: Dubuque, IA.
Richardson, K. (2007). Professional development reference & reading materials for teachers of K - 6 mathematics. Math Perspectives: WA.
Robb, L. (2003). Teaching reading in social studies, science, and math. Scholastic:New York.
Sutton, K. (2008). Creative mathematics. www.creativemathematics.com
Wilhelm, J. (2001). Improving comprehension with think-aloud strategies. Scholastic:New York.
Assessments
MAP
CSAP
AimsWeb CBM's
Short cycle assessments
Formative/summative
SuccessMaker
Orchard (secondary intervention)
Reading Navigator (secondary intervention)
Math Interventions/Support
for D#11
Moving with math
Corrective Math
SuccessMaker
Reading Navigator (secondary)
Orchard (secondary)
Internet sites
Teacher Tube
Knowing Mathematics (4-6)
Fastt Math (K-5)
Renaissance Learning (K-12) Reading and math
I'll pony some information. Meanwhile, check out the SQRQCQ in "Teaching Mathematics to the Adolescent Brain."
How the Brain Learns Mathematics by David A. Sousa
http://search.barnesandnoble.com/booksearch/isbnInquiry.asp?z=y&endeca=1&isbn=1412953065&itm=7
Also, note that extended constructive response is on the CDE web page. I didn't realize that math extended constructive response can take up to 15 minutes to complete, and that the explanation of work "may" be included...along with graphs, models, extension of a pattern, use of geometric relationships and etc.
Open Alpine goal setting data and feature for a class: Export data to a simple Excel file (delete unnecessary columns to fit on one page). Then cut strips for each student. Let them determine how many points to stay; how many points to move to the next proficiency. (I did this with advanced math and English classes...students are more competitive.)
Team members for 2008-09: Eileen Althoff, Kim Bolling, Juliet Green, Elizabeth Klingensmith, Dorian Lee, Kristen Newell
Strategies for Social Studies
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McREL strategies by Robert Marzano |
Chris Tovanni |
Action Strategies for Deepening ComprehensionJeff Wilhelm |
Jerry Johns |
Thinking Maps.com Website |
Using Technology with Classroom Instruction that Works by Howard Pitler |
Summarization in Any Subject by Rick Wormeli |
Where’s the Glitch: How to Use Running Records with Older Readers by Mary Shea (The text also comes with a CD to aid in downloading worksheets) |
Janet Allen’s Tools for Teaching Content Literacy. |
Nonfiction Passages with Graphic Organizers for Independent Practice by Alice Boynton and Wiley Blevins. |
AimsWeb |
Nonfiction Matters by Stephanie Harvey (gr.3-8) |
| Vocabulary to support content area |
non-linguistic representation |
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Word sorts |
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analogy and metaphor and bubble map |
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Integration, repetition, and meaningful use ;context clues, background knowledge structural analysis, comparison/contrast,
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| Background knowledge/schema Activation |
Questions, cues and advance organizers |
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Text to self, text to world, text to author |
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circle map |
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Text to text Text to self Text to world |
| Knowledge of Text Structure |
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Text features |
Identifying cause/effect; sequence; |
Using text structure to organize and recall information |
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diagrams, maps, charts, time lines, and captions problem/solution, compare/contrast, cause/effect, and sequence |
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Text cues |
| Cognitive Monitoring-Metacognition |
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Journaling |
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Reciprocal teaching; REAP: Read, encode, annotate, ponder; learning logs highlighting |
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Visualizing |
| Retelling/Recalling |
Identifying similarities and differences |
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Historical reenactment, "channeling," readers' theatre, talking statues, tableaux |
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Graphic organizer |
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Running records |
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Graphic Organizers |
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| Literal Comprehension |
Questions, cues and advance organizers |
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Inspiration |
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Running records |
Reciprocal teaching; REAP: Read, encode, annotate, ponder; learning logs highlighting |
annotating non-fiction text multiple choice questions, graphic organizers, short responses |
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| Summarizing |
Sumarizing and note taking |
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Step-Up, Write tools,Christensen Levels of Generality |
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50 Summarizing ideas |
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| Inferential Comprehension |
Metaphors and analogies |
Annotating text |
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Directed Reading Activity |
| Evaluative comprehension |
Generating and testing hypotheses |
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Annotating text |
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cause and effect |
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Reciprocal teaching; REAP: Read, encode, annotate, ponder; learning logs highlighting |
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CBM's |
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| Fluency |
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Readers' theatre |
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Running records |
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Comments (1)
Dorian Lee said
at 10:51 am on Feb 7, 2008
I found some great information on using math journals as a way to increase literacy in math. Science journals have been used in the district for several years with excellent results. I think journaling would not only increase the literacy (reading and writing) focus in math, but would also help students better understand how to respond to CSAP math prompts, and ultimately, earn more points.
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