2 Reason Abstractly and Quantitatively Module 2 This practice in action allows students to reason in a generalized or abstract manner without knowing the details of a situation This practice is ID: 199352
Download Presentation The PPT/PDF document "Mathematical Practice" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Mathematical Practice
2:
Reason Abstractly and Quantitatively
Module
2Slide2
This practice
in action allows students to reason in a generalized or abstract manner without knowing the details of a situation.
This practice is
critical to students’ engagement at every level of the mathematics curriculum (NGA & CCSSO 2010, p.6)
This is your
SECOND text
area.
You can change the text, but don’t delete this text box.
Mathematical Practice
2
Reason Abstractly and QuantitativelySlide3
Mathematical Practice
2:
Defined
“Reason abstractly and quantitatively” refers to the need for students to communicate precisely and correctly at every level of the mathematics curriculum-with teachers and their peers (NGA & CCSSO, 2010, p.6)
This is your
THIRD text
area.
You can change the text, but don’t delete this text box.
Mathematical Practice
2Slide4
Can students learn to reason?
Yes! According to research by Ball and Bass (2003), “Mathematical reasoning is something that students can learn to do” (p. 33).
This is your
THIRD text
area.
You can change the text, but don’t delete this text box.
Mathematical Practice
2Slide5
Two Major Benefits of Reasoning
It
aids students’ mathematical understanding and ability to use concepts and procedures in meaningful
ways.
It helps students reconstruct faded knowledge.
This is your
THIRD text
area.
You can change the text, but don’t delete this text box.
Mathematical Practice
2Slide6
What is the teacher’s major responsibility
?
Engage your students in discourse that promotes reasoning between the teacher and students and between the students and their peers daily.
REPEAT FOR MORE.
Copy and paste slides to add more.
Mathematical Practice
2Slide7
What are the expectations for student reasoning & mathematical explanation?
What are the questions you can ask if students get stuck?
How will students be expected to connect the problem’s solutions & the limits on the solutions based on the context of the problem?
How can you scaffold the problem?
How can you extend the problem for students who provide an adequate solution while other students are still working?
What scaffolding questions can you use to help students teach, learn, and reason when working together?
When planning lessons that promote CCSS Mathematical Practice 2,
a
sk
yourself…Slide8
What does this look like in the classroom
?
As the teacher you
…
pose questions that probe students’ thinking beyond their suggestions of an answer
Use correct and incorrect answers provided by students to stretch their thinking beyond their original thoughts
Require students to provide justification for their thinking
Provide access to and use appropriate representations of problems
Provide students with extensions to problems previously solved but frame them such that they will make new discoveries or use different problem solving methodsSlide9
What are the students doing?
In a classroom where students are making sense of
reasoning abstractly and quantitatively,
you will notice students
…
Can decontextualize a problem by representing it symbolically for a solution
Can contextualize a problem by attending to the meaning of the quantitates in the problem
Can create a coherent representation of the presented task
Explaining to their peers why solutions do or do not work
Sharing and justifying their thinking
Adjusting their conceptions based on information gathered through discussions
Creating problems and accompanying scoring rubrics for a particular lesson
Identifying errors in a solution and explaining how to correct themSlide10
Please return to Module
2
and complete the collaborate and reflect activity.
Your Second Text Goes
Here.
Don’t Delete this Box.
For more information…
Visit:
http://ccssmpd.weebly.com
/