Models for Lessons Thinking about planning

The Verbs of Doing Mathematics Explaining Investigating Exploring Interpreting Analyzing Describing Deriving Reasoning Justifying Proving Conjecturing Calculating Examining Constructing Grappling Engaging

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)

Teacher Directed Lesson Practise Problem Solving Application The Traditional Approach: Probably what your math class looked like.

Clarify - Refine - Practise - Apply Teacher Facilitated Sharing Problem Solving Scenario Activity & Conversation A Problem- Based Approach

Getting Ready Activate prior knowledge Present the problem Be sure expectations are clear Getting Ready Activate prior knowledge Present the problem Be sure expectations are clear Students Work Let go! Listen carefully Observe and Assess Students Work Let go! Listen carefully Observe and Assess Class Discourse Accept student solutions with interest, yet neutrality Conduct discussion as students justify and evaluate results Class Discourse Accept student solutions with interest, yet neutrality Conduct discussion as students justify and evaluate results Before During After Three part lesson model From Van de Walle

A model for lesson planning

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.

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?

Essential components of a lesson plan Lesson Details –Who’s 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?

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?

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