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Mathematics Language + Communication. Mathematics Fluency. Presented By: Natalie Crist Mathematics Resource Teacher Carroll County Public Schools. Mosaic of Math. Based on Mosaic of Thought by Keene and Zimmermann Is it computation or problem solving?

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mathematics language communication

Mathematics Language +Communication

Mathematics Fluency

Presented By: Natalie Crist

Mathematics Resource Teacher

Carroll County Public Schools

mosaic of math
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
essential questions
  • 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?
what good mathematicians do
What good mathematicians do….
  • Visualize/picture
  • Make Connections
  • Wonder
  • Guess
  • Figure out
  • Notice
mathematical mind journeys
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.
what s happening in an mmj
What’s 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
guidelines for an mmj
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.
Quick ImageCreate mental imagesConnect number to pictureVisualizeLook for detailsDraw conclusionsEnhance understanding
guiding questions during mmj
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?
mmj task 2
MMj Task 2


mmj task 3
MMJ Task 3

36 x 12

mmj task 4
MMJ Task 4

159 ÷13= n

mmj task 5
MMJ Task 5

John needs 275 lollipops for his class. They come in bags of 25. How many bags does he need to buy?

vocabulary development
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.
fostering vocabulary development
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

word walls
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

classroom culture
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