Mathematics Language Communication

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Mathematics Language
Communication
Mathematics Fluency

• Presented By Natalie Crist
• Mathematics Resource Teacher
• Carroll County Public Schools

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Mosaic of Math

• Based on Mosaic of Thought by Keene and
  Zimmermann
• Is it computation or problem solving?
• It is mathematics instruction that targets the
  thinking that occurs
• Process vs. Product

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EssentialQuestions

• How do you know what your students are thinking
  during a mathematical activity?
• How do we develop a deeper mathematical
  understanding?
• How can we make mathematics vocabulary more
  comprehensible for students?

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What good mathematicians do.

• Visualize/picture
• Make Connections
• Wonder
• Guess
• Figure out
• Notice

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Quick ImageCreate mental imagesConnect number
to pictureVisualizeLook for detailsDraw
conclusionsEnhance understanding
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Mathematical Mind Journeys

• Children learn by thinking, reasoning, problem
  solving, communicating and computing in
  meaningful ways.
• Teachers guide students by questioning, by
  assessing understanding, and by supporting and
  challenging the children to reach new levels of
  understanding.
• MMJ is about discovery, communication and
  disequillibrium.

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Whats happening in an MMJ?

• Metacognition
• Development of number concepts and number sense
• Development of vocabulary
• Building on numbers
• Decision making
• Modeling notation, recording, representation
• Questioning
• Differentiation

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Guidelines for an MMJ

• Thumb-up!
• Test your strategy with another.
• You may change your answer at any time.
• Listen and respect other students ideas.
• Gather and share strategies.

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MMJ Task 1

• 29x4

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MMj Task 2

• 1002-998

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MMJ Task 3

• 223 129

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MMJTask 4

• Martin has 12 cars. He gets 17 more for his
  birthday. How many cars does he have now?

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Guiding Questions During MMJ

• What did your brain do to solve this problem?
• What did you picture in your mind?
• Is there any other way to solve this problem?
• Why did you choose this strategy?
• Is there a more efficient strategy you can use?
• Will your strategy work for other problems?
• Can you tell/ show why your strategy works?

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Journaling with MMJ
Use the journal page to have students record
their thought process during independent
activities. This is a great activity for center
time!
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Use Journaling to Extend Thinking!
Example Sara has 15 books. She gets 14 more as
a gift from her grandmother. How many books does
she have altogether?
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Use Manipulatives. pb pvppo
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2. Draw Pictoriallyah ajas
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3. Represent Symbolically

• 15 14 19

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Vocabulary Development

• Students learn new terminology and word meanings
  best when they encounter them during purposeful
  activities and investigations.
• Research suggests that the use of semantic maps
  (graphic organizers) results in overall
  comprehension.

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Fostering Vocabulary Development

• Suggestions
• Limit new terms introduced in a lesson
• (12 or less)
• Make connections
• Guide students in use of terms in
  investigations, problem solving and Mathematical
  Mind Journeys.
• Reintroduce the words frequently in different
  contexts

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Word Walls

• A word wall is
• an organized collection of vocabulary (words
  and pictures)
• a tool to be used
• a way to promote group learning through
  activities
• created over time combining student and
  teacher ownership
• based on student needs
• a reference tool

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Examples of Activities and Organizers
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Classroom Culture

• Create a risk-free environment
• Support the mathematical thinking happening
• Be willing to listen to a different strategy
• Get to know how your students think
• Understand where your students are mathematically
  and where they need to go
• Build student ownership and confidence
• Promote deeper understanding through questioning

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Mathematical Fluency