Showing posts with label Professional Learning - 8 Math Practices. Show all posts
Showing posts with label Professional Learning - 8 Math Practices. Show all posts

Social Learning Environment is the KEY to Success


The successful facilitation of CCSS is based on the social learning environment of the classroom.

 

Does your class have a norm that requires students to provide an explanation with their solution?  This norm, if present, places importance on HOW students solved a problem rather than just IF they solved the problem.

Norms should include:

1.       Provide explanations and justifications as part of your solution process.

2.       Attempt  to make sense of their classmate’s solutions by asking questions for clarification.

3.       Communicate when you don’t understand or agree with solutions others present, spurring healthy debate between and among students. (Purposeful talk)

Eventually, these discussions become a natural part of the classroom discourse and can occur in an organized way without your direction.  These norms are established through a process of negotiation in which you make your expectations clear but also involve students in the process of implementing the norms. (Cobb, 2000).

It is likely you will need to model these sorts of behaviors for your students, until it becomes a natural part of your math classroom.  You can scaffold this by asking challenging and probing questions.  To do this effectively, you need a deep understanding of the mathematics you teach so you can support student engagement in this practice.

You should think about what sorts of expectations and behaviors support desired engagement during mathematics instruction and what detracts from it.

 

 

Professional Learning around the 8 Mathematical Practices

Resources for the 8 Mathematical Practices.

8 Practices Research
http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices.aspx

Standard 1: Make sense of problems and persevere in solving them    

Tennessee Early Grades Math Toolkit - Videos/Articles/Lessons/Etc.

Teaching Channel

Inside Mathematics - Videos and Lessons


http://www.learner.org/series/modules/pages/ccmathmod_01.html

http://thinkmath.edc.org/index.php/Make_sense_of_problems_and_persevere_in_solving_them
http://mathforum.org/blogs/max/problem-solving-strategies-and-the-common-core-practice-standards/
http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=5&ved=0CF4QFjAE&url=http%3A%2F%2Fedu.wyoming.gov%2Fsf-docs%2Fstandards%2FCCSS_Math_Standards_Poster.pdf%3Fsfvrsn%3D0&ei=ge67T8ONGubo2AXe-dDGCQ&usg=AFQjCNEo-re29Bf6PNsKVnQc_yFyNIzXIg&sig2=6dPxuGptyFqomVuv4EMWGg
https://sites.google.com/a/dpi.wi.gov/disciplinary-literacy-in-mathematics/home/make-sense-of-problems-and-persevere-in-solving-them
http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=10&ved=0CGoQFjAJ&url=http%3A%2F%2Fwww.nctm.org%2FuploadedFiles%2FNew_and_Noteworthy%2FCCSSM_Grades_4%25E2%2580%25935.ppt&ei=ge67T8ONGubo2AXe-dDGCQ&usg=AFQjCNEllVohY8X54d68aoA1d9Dsk1fcXw&sig2=lcnIUjBSE2hLxC-9hZpnhw

http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=16&ved=0CGUQFjAFOAo&url=http%3A%2F%2Fallthingscommoncore.com%2Fsites%2Fallthingscommoncore.com%2Ffiles%2Fstudentteacheractionchart%25231.pdf&ei=OfO7T_WrJoeU2AXB-rjLCQ&usg=AFQjCNEMkQDTz8As20VKfVMxIXejd2h1IQ&sig2=IkjDwlfeWEhxPKA1IQbkbA

Standard 2: Reason abstractly and quantitatively

http://www.corestandards.org/the-standards/mathematics/introduction/standards-for-mathematical-practice/
https://www.mathreasoninginventory.com/Home/AssessmentsOverview
http://www.insidemathematics.org/index.php/standard-2
http://thinkmath.edc.org/index.php/Reason_abstractly_and_quantitatively
http://allthingscommoncore.com/node/1249
http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices/reason_abstractly_and_quantitatively.aspx

Standard 3: Construct viable arguments and critique the reasoning of others.

http://www.insidemathematics.org/index.php/standard-3
http://allthingscommoncore.com/content/classroom-sneak-peek-mathematical-practice-3

https://www.teachingchannel.org/videos/third-grade-math-solutions?fd=1
http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices/construct_viable_arguments_and_critique_the_reasoning_of_others.asp

http://pinterest.com/pin/142004194472099438/


Standard 4: Model with mathematics

Big Ideas - http://www.youtube.com/watch?v=lnTG8Bdq-ac&list=UUhGAJ7M_EgFAsafEBerqzLg&index=5&feature=plcp
https://www.teachingchannel.org/videos/teaching-volume
http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices/model_with_mathematics.aspx

Standard 5: Use appropriate tools strategically. 



http://www.insidemathematics.org/index.php/standard-5
http://allthingscommoncore.com/content/classroom-sneak-peek-mathematical-practice-5
http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices/use_appropriate_tools_strategically.aspx

Got Tools Article
The Empty Number Line
Manipulatitves in the Middle Grades Article
Manipulatives:  One Piece of the Puzzle

Standard 6: Attend to precision. 

http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematics_vocabulary.aspx

http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices/attend_to_precision.aspx
Big Ideas - http://www.youtube.com/watch?v=LlTEv64v7vw&list=UUhGAJ7M_EgFAsafEBerqzLg&index=3&feature=plcp

Standard 7: Look for and make use of structure.

http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices/look_for_and_make_use_of_structure.aspx

http://www.insidemathematics.org/index.php/standard-7

http://thinkmath.edc.org/index.php/Look_for_and_make_use_of_structure

http://www.oercommons.org/courses/look-for-and-make-use-of-structure

http://allthingscommoncore.com/content/classroom-sneak-peek-mathematical-practice-7

Standard 8: Look for and express regularity in repeated reasoning.

http://thinkmath.edc.org/index.php/Look_for_and_express_regularity_in_repeated_reasoning
http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices/look_for_and_express_regularity_in_repeated_reasoning.aspx

https://sites.google.com/a/dpi.wi.gov/disciplinary-literacy-in-mathematics/home/look-for-and-express-regularity-in-repeated-reasoning


Bringing All 8 Practices  together:  
http://www.insidemathematics.org/index.php/math-standards-together