Models for Lessons

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Models for Lessons

• Thinking about planning

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The Verbs of Doing Mathematics

• Explaining
• Investigating
• Exploring
• Interpreting
• Analyzing
• Describing
• Deriving
• Reasoning

• Justifying
• Proving
• Conjecturing
• Calculating
• Examining
• Constructing
• Grappling
• Engaging

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Some thought provoking quotes!

• It is a curious feature of mathematics education
  that we expect and encourage exploratory and
  playful mathematical activity in very young
  children, and in advanced research
  mathematicians, but in between we sit students
  down to do exercises and listen to teachers or
  lecturers explain how it is. (Barton, 2008,
  p.149)
• Not only is mathematical play and exploration
  necessary to understand the nature of
  mathematics, and necessary to be able to do
  mathematics, it is also necessary for the process
  of learning mathematics. (Barton, 2008, p.151)

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The Traditional Approach Probably what your math
class looked like.
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A Problem-Based Approach
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Three part lesson model

• Getting Ready
• Activate prior knowledge
• Present the problem
• Be sure expectations are clear

Before
During

• Students Work
• Let go!
• Listen carefully
• Observe and Assess

After

• Class Discourse
• Accept student solutions with
• interest, yet neutrality
• Conduct discussion as students
• justify and evaluate results

From Van de Walle
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A model for lesson planning
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Essential components of a lesson plan

• Lesson Purpose
• What is the overall purpose of the lesson?
• Think about how this fits within the unit plan
  and the year plan
• Student Outcomes
• Be sure to state the specific curriculum outcomes
  (SCOs) from your document
• You may elaborate on these in greater detail as
  well.

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Essential components of a lesson plan

• Prior Knowledge
• What will students need to know to achieve the
  goals of the lesson?
• Will there be a need to do a mini-lesson?
• Lesson Details
• How will you introduce the lesson?
• What will you do to activate prior knowledge?
• How will you ensure that all students are clear
  about what they need to do?
• How will I organize my classroom?

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Essential components of a lesson plan

• Lesson Details
• Whos doing the math?
• What will students do?
• How will you plan to include all students in the
  learning? Extensions and adaptations
• How will you facilitate effective mathematical
  discourse and encourage sharing of ideas?

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Essential components of a lesson plan

• Materials
• What resources are necessary?
• Be sure to include copies of everything you would
  hand out to students (worksheets, assignments,
  activity cards, etc.).
• Closure
• How will you conclude the lesson?
• How will students clarify and refine?
• What additional practice and application is
  necessary?

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Essential components of a lesson plan

• Assessment
• How will you assess student learning?
• What evidence will you gather to demonstrate
  student learning?
• Include any assessment tools you would use as
  part of the lesson including question prompts,
  assessment questions, assignment sheets, journal
  prompts, etc.
• How will you use this evidence for future
  planning, evaluating and reporting?
• Professional Growth Targets