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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.

Mathematics language communication
Quick ImageCreate mental imagesConnect number to pictureVisualizeLook for detailsDraw conclusionsEnhance understanding

Mmj task 1
MMJ Task 1


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