camt key note 2015 participant slides
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More Rigorous
Mathematics for -
Are We There Yet? If
Not, How Do We Get
There- Through
Equity and Pedagogy
Beatrice Moore LuchinNUMBERS Mathematics Professional
Developmentabluchin@sbcglobal.net
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Equityand
EqualityARE NOT
synonymous
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In education, the term equity refers to
the principle of fairness.
While it is often used interchangeably with
the related principle of equality, equity
encompasses a wide variety of educational
models, programs, and strategies that may
be considered fair, but not necessarily equal.
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It is has been said that “equity is the
process; equality is the outcome,”
given that equity—what is fair and
just—may not, in the process of
educating students, reflect strict
equality—what is applied, allocated,
or distributed equally.Beatrice Moore Luchin, Mathematics
Consultant 4
Recommendation 1: Focus on planning
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• Common Misconceptions
• Common Error patterns
• Overgeneralizations
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Discussion:
How could you use this during PLC to support better planning?
Grouping practice
Auditory Tactile Kinesthetic Visual
Independentseat work
Partner work
Small group 3-5
Whole class
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modeling and developing correct mathematical thinking and reasoning
abilities
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Academic Language
distinguishes feature indicates
diagram conclusion outcome
best describes most likely primarily
enabled affect/effect determine
evidence relationship
indicated by reasonable affected
valid conclusion analyze
most accuratelyBeatrice Moore Luchin, Mathematics
Consultant 9
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Recommendation 2: Integrate Mathematical Process Standards
1A apply mathematics to problems arising in everyday life, society, and the workplace;
1B use a problem-solving model that incorporates analyzing given information,
formulating a plan or strategy, determining a solution, justifying the solution, and
evaluating the problem-solving process and the reasonableness of the solution;
1C select tools, including real objects, manipulatives, paper and pencil, and technology
as appropriate, and techniques, including mental math, estimation, and number sense
as appropriate, to solve problems;
1D communicate mathematical ideas, reasoning, and their implications using multiple
representations, including symbols, diagrams, graphs, and language as appropriate;
1E create and use representations to organize, record, and communicate mathematical
ideas;
1F analyze mathematical relationships to connect and communicate mathematical
ideas;
1G display, explain, and justify mathematical ideas and arguments using precise
mathematical language in written or oral communication.Beatrice Moore Luchin, Mathematics
Consultant 11
Recommendation 2: Integrate Mathematical Process Standards
1A apply mathematics to problems arising in everyday life, society, and the workplace;
1B use a problem-solving model that incorporates analyzing given information,
formulating a plan or strategy, determining a solution, justifying the solution, and
evaluating the problem-solving process and the reasonableness of the solution;
1C select tools, including real objects, manipulatives, paper and pencil, and technology
as appropriate, and techniques, including mental math, estimation, and number sense
as appropriate, to solve problems;
1D communicate mathematical ideas, reasoning, and their implications using multiple
representations, including symbols, diagrams, graphs, and language as appropriate;
1E create and use representations to organize, record, and communicate mathematical
ideas;
1F analyze mathematical relationships to connect and communicate mathematical
ideas;
1G display, explain, and justify mathematical ideas and arguments using precise
mathematical language in written or oral communication.Beatrice Moore Luchin, Mathematics
Consultant 12
• Ensure mathematics curriculum is based on challenging content
• Ensure that the mathematics curriculum is vertically and horizontally articulated
Recommendation 3: Alignment of ALL materials and activities to the
TEKS
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Recommendation 4: Focus on Literacy
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Integrating writing into your mathematics
classroom can be easy for you and beneficial for
your students.
Communicating about mathematics helps
strengthen student learning, which can build
deeper understanding. It provides students an
opportunity to organize their thoughts related to
the math topic, which helps clarify their thinking. Beatrice Moore Luchin, Mathematics Consultant
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Additional notes:
Term Definition How it is determined
Example
Situation where it is the appropriate measure of central tendency
Mean
Median
Mode
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base
2-d
figures
3-d
figures
exponents
logarithms
number
systems
science
homophonic
partner
sports
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Recommendation 5:
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Best practices are an inherent part of a curriculum that exemplifies the connection and relevance identified in educational research.
They interject rigor into the curriculum by developing thinking and problem-solving skills through integration and active learning.
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Recommendation 6:
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Observations Questioning
Four Corners Think Pair Share
Discussion Exit/Admit Slips
Graphic Organizers Peer/Self Assessments
Visual Representations
Kinesthetic Assessments
Individual Whiteboards
Learning/Response Logs
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Recommendation 7: Increased Student Engagement
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Create a Culture of Explanation Instead of a Culture of the Right Answer
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Recommendation 8: Questioning Strategies
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Lower Level • What is photosynthesis?
• What is the name of the main character in the story?
• 9 × 3 = → ?
Higher Level • How is the formula for photosynthesis similar to respiration?
• Who is your favorite character in the story? Why?
• How could you simplify this equation: 9x + 27y = 153?
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Convergent vs Divergent
Examples of convergent questions:
•How many of the pilgrims who sailed on the Mayflower
survived the first winter?
•Which is smaller, 5/16 or 3/8?
•Is saltwater denser than freshwater?
Examples of divergent questions:
•What do you predict will happen?
•What can you tell me about shadows?
•What sacrifices made by settlers traveling west by covered
wagon would be most difficult for you?
•What different strategies can we use to solve the problem?Beatrice Moore Luchin, Mathematics Consultant
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Recommendation 9: Content Support
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Recommendation 10:
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parents
students
administrators
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EVERYBODYneeds a
chance and a champion
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And that champion is you!
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