Give an example of a norm that can be put in place to support meaningful math discourse.
Examples:
-We talk about each other's thinking
-We ask questions until ideas make sense
-We view errors as "gifts" that promote discussion
-Math class is about learning, not performing
What is the first part of a three part lesson called?
Launch
Give at least two reasons why a teacher may want to incorporate virtual manipulatives.
-Easy access
-FREE!
-Students can use these at home for additional practice
8+4= ___ +5
If a student gives an answer of 12, what information does that give us regarding their knowledge of the equal sign.
They do not yet understand the relational meaning of the equal sign.
If a student is given a problem and either they can recall the correct answer or they can't, what DOK level would that be?
What could be done to raise the DOK?
DOK 1 or 2
Answers will vary
Name two teacher moves that can be executed to support math discourse in your future classroom.
Examples:
-Ask open ended questions
-Probe reasoning: "Say more about..."
-Allow for partner talk
-Sentence frame/sentence starters
Describe what a lesson launch entails.
Activate prior knowledge (find out what students already know, connect to their experiences, get them hooked)
Introduce the problem
Establish clear expectations
Where might a teacher locate virtual manipulatives to use?
-Our virtual manipulative tool link that was shared
-Google searches
Why are nonstandard units (for example paperclips or hands)used to introduce measurement before students are exposed to inches and feet?
-Focus directly on the attribute being measured
-Standard units have more meaning after students have experienced measuring with their own collection of nonstandard units
-Raise DOK
-Expand opportunities for student to share thinking
-Provide opportunities to connect to students' experiences and funds of knowledge
Think back to the Counting to 100 task we did where you were given a sheet of numbers from 1-100 that were all mixed up. You had to work with your team to circle them in the correct order. What did you discover good group work looked like and sounded like?
Examples:
-All members are focused
-Heads together
-Everyone participating
-Supporting each other
-All are communicating
What is the second part of a three part lesson called?
During
When selecting virtual manipulatives what criterion should you consider?
Answers can include:
-How well does the tool model the math content/relationships
-Embedded supports(feedback, charts, labels, connections between representations)
-Interactivity
-Ease of Use
-Flexibility and adaptability
At what elementary and middle school grade levels would you find measurement standards?
K-8
When reading over the flow of a lesson, what types of activities/tasks might a teacher consider eliminating from that lesson?
-Activities/tasks that don't align with the main math goals and objectives
-Activities/tasks that do not provide space for students' ideas of experiences
-Activities/tasks that are too teacher centered
Give three examples of group work norms you could implement in your math classroom.
Examples:
-Everyone has good mathematical ideas
-Agree and disagree with mathematical ideas, not each other
-Make sense of mathematics
-Respect what peers have to say
-Give our peers ample time to think
-Listen before you speak
Describe what happens in the during part of the lesson.
Students are working on solving
Teacher notices and elicit's students' thinking
Support students' thinking
Extend students' thinking
When teaching fractions what comes first, learning the concepts first or learning the symbols? Explain.
Concepts first symbols and terminology later.
Give two examples of what teachers can do to give students repeated opportunities to reason about the meaning of the equal sign.
Classroom discussions
True/False tasks
Open number sentences
Describe formative assessment and give three examples of this type of assessment.
-observations, interviews, show me, hinge questions, exit tasks
Why is it important to create and discuss group work norms with students prior to them working on a task?
Answers will vary.
What is the final part of a three part lesson called? Describe what happens during that part of the lesson.
After
-Promote a community of learners
-Facilitate discussion
-Summarize important mathematical ideas
Describe specific images that you could use to conduct a Would you Rather fractions number talk?
Answers will vary.
Example: Show two pies both with some missing. Then ask would you rather have 1/2 or this remaining pie or 1/3 of this remaining pie?
Give an overview of the components of an Estimation Routine.
-Present an image to students with an estimation question
-Ask students to make an estimate that's too low, too hight, and then one that they think is just right
When providing feedback during formative assessment describe what that should sound or look like.
Feedback should be specific and connected to math learning goals.