content literacy instructional shifts for math facilitator auddie mastroleo ocm boces network team
TRANSCRIPT
CONTENT LITERACY INSTRUCTIONAL
SHIFTS FOR MATH
FacilitatorAuddie Mastroleo ҉ OCM BOCES Network Team
Balancing Informational & Literary Texts (Grades PK-5)
Knowledge in the Disciplines (Grades 6-12)
Staircase of Complexity
Text-based Answers
Writing from Sources
Academic Vocabulary
COMMON CORE SHIFTS ELA & CONTENT LITERACY
SHIFT 1
GradesPK-5
BALANCING INFORMATIONAL &
LITERARY TEXTSRange of Text Types
Literature = Stories, Dramas, Poetry
Informational = Literary Nonfiction, Historical,
Scientific, & Technical Texts
50% fiction 50% nonfiction40% fiction 60% nonfiction
20% fiction 80% nonfiction
4th grade
8th grade
12th grade
Increase in teaching
and learning with non-
fiction text
SHIFT 2
Grades6-12
KNOWLEDGE IN THE DISCIPLINES
Reading & Writing Literacy
Standards
• Complement, not replace content standards
Depending on text rather than
referring to it
•Read a president’s speech & write a response•Read scientific papers & write an analysis
Think sophisticated
non-fiction
•Analyze and evaluate texts within disciplines•Gain knowledge from texts that convey complex information through diagrams, charts, evidence, & illustrations
Expectation of rigorous
domain specific literacy
instruction outside of
ELA
SHIFT 1
Balancing Information
al and Literary
Texts
SHIFT 2
Building Knowledge
in the Disciplines
Core Text
Pre-CCLS
SHIFT 1
Balancing Information
al and Literary
Texts
SHIFT 2
Building Knowledge
in the Disciplines
Paired Texts: The Golden Ratio
Core Texts
Post-CCLS
MATH PRE AND POST SHIFT NOTES
With a partner…
Share your initial thinking and
reactions
TURN AND TALK
SHIFT 3
STAIRCASE OF COMPLEXITY
Increase in text complexity at each grade level
QualitativeLevels of meaningStructureClarity of languageKnowledge demands
QuantitativeWord length
Sentence length
Text cohesion
Reader & Task MotivationKnowledgeExperience
Appendix B:
Text Exemplars
and Sample Performance
Tasks
Expectation of proficiency
and independence
in reading grade level
text
SHIFT 3
Staircase of Complexity
PRE-CCLSA ratio compares two numbers by division. The ratio of two numbers a and b can be written as a to b, a:b, or a/b, where b=0. For example, the rations 1 to 2, 1:2, and ½ all represent the same comparison.
A proportion is an equation stating that two ratios are equal. In the proportion a/b=c/d, the values a and d are the extremes. The values b and c are the means. When proportion is written as a:b=c:d, the examples are the first and last positions. The means are in the two middle positions.
SHIFT 3
Staircase of
Complexity
POST-CCLSIn everyday life, we use the word
”proportion” either for the comparative relation between parts of things with respect to size or quantity or when we want to describe harmonious relationship between different parts. In mathematics, the term “proportion” is used to describe equality of the type: nine is to three as six is to two.
The Golden Ratio has been used in [art, architecture, design, and music] to achieve what we might term as “visual (or audio) effectiveness.” One of the properties contributing to such effectiveness is proportion – the size and relationships of part to one another and to the whole. The history of art shows that in the long search for an elusive canon of “perfect” proportion, one would somehow automatically confer aesthetically pleasing qualities on all works of art, the Golden Ratio has proven to be the most enduring.
SHIFT 4
TEXT-BASED ANSWERS
Questions tied directly to the text, but extend beyond the
literal
Students must cite
text to support answers
Personal opinions,
experiences, and
connections to the text
are minimized in favor of what
the text actually says
or doesn’t say
Questions are purposefully planned &
direct students to
closely examine the
text
SHIFT 4
Text-based Answers
Question:The ratio of the side lengths of a quadrilateral is 2:3:5:7, and its perimeter is 85ft. What is the length of the longest side?
PRE-CCLS
A ratio compares two numbers by division. The ratio of two numbers a and b can be written as a to b, a:b, or a/b, where b=0. For example, the rations 1 to 2, 1:2, and ½ all represent the same comparison.
A proportion is an equation stating that two ratios are equal. In the proportion a/b=c/d, the values a and d are the extremes. The values b and c are the means. When proportion is written as a:b=c:d, the examples are the first and last positions. The means are in the two middle positions.
SHIFT 4
Text-based Answers
Question:Describe how the idea of proportion can be applied to mathematical concepts as well as life and culture.
Use specifi c examples from the text to support your answer.
POST-CCLSIn everyday life, we use the word
”proportion” either for the comparative relation between parts of things with respect to size or quantity or when we want to describe harmonious relationship between different parts. In mathematics, the term “proportion” is used to describe equality of the type: nine is to three as six is to two.
The Golden Ratio has been used in [nature, art, architecture, design, and music] to achieve what we might term as “visual (or audio) effectiveness.” One of the properties contributing to such effectiveness is proportion – the size and relationships of part to one another and to the whole. The history of art shows that in the long search for an elusive canon of “perfect” proportion, one would somehow automatically confer aesthetically pleasing qualities on all works of art, the Golden Ratio has proven to be the most enduring.
MATH PRE AND POST SHIFTS NOTES
With a partner…
Share your initial thinking and
reactions
TURN AND TALK
SHIFT 5
WRITING FROM SOURCES
Three Text Types
Argument
Supporting a claim with sound reasoning and relevant evidenceInformational
/Explanatory Writing
Increase subject knowledge
Explain a process
Enhance comprehension
Narrative Writing
Conveys experience i.e. fictional stories, memoirs, anecdotes, autobiographies
Appendix C: Samples of
Student Writing
Argumentative writing is especially
prominent in the CCLS
SHIFT 5
Writing from
Sources
1. Is the ratio 6:7 the same as 7:6? Why or why not?2. Susan wants to know if the fractions 3/7 and 12/18 are equivalent. Explain how she can use the properties of proportions to find out.3. Copy and complete the graphic organizer. In the boxes, write the definition of a proportion, the properties of proportions, and examples and non-examples of a proportion.
Pre-CCLS
SHIFT 5
Writing from
Sources
Architect, mathematician, and engineer, Richard Buckminster Fuller once said,
“When I am working on a problem, I never think about beauty. I think only of how to solve the problem. But when I have finished, if the solution is not beautiful, I know it is wrong.”
Use your knowledge of proportions and the text, The Golden Ratio to agree or disagree with this quote.
Define and explain the
mystery of the golden ratio.
Provide examples of
mathematical and real life
applications of the golden
ratio.
Show the mathematics of the golden
ratio as it applies to your
examples.
Post-CCLS
SHIFT 6
ACADEMIC VOCABULARY
Tier One
Words
• Words of everyday speech
Tier Two
Words
• Not specific to any one academic area
• Generally not well-defined by context or explicitly defined within a text
• Wide applicability to many types of reading
Tier Three Words
• Domain specific• Low-frequency• Often explicitly defined • Heavily scaffolded
Ramp up instruction of Tier Two
words
SHIFT 6
Academic Vocabular
y
Pre-CCLS
ratio
proportion
extremes
means
SHIFT 6
Academic Vocabular
y
Post-CCLS
MATH PRE AND POST SHIFTS NOTES
With a partner…
Share your initial thinking and
reactions
TURN AND TALK
QUESTIONS? CONCERNS? NOTICES?