Presenter

Pam Williams, PhD

“Standards for Mathematical Practice (Kindergarten-Grade

5)”

Alabama College and Career Ready Standards for Mathematics

K- 5 Standards for Mathematical Practices

OutcomesParticipants will build their understanding of the Standards

for Mathematical Practice. Participants will enhance their skills in identifying the

extent to which students exhibit the Standards for Mathematical Practice.

Participants will generate ideas for how teachers can integrate the Standards for Mathematical Practice with instruction to support student proficiency.

What do you know about the Alabama College and Career

Ready Initiative?

How many practice

standards are there?

What do the standards

mean?

The Standards for Mathematical Practice describe varieties of

expertise that mathematics educators at all levels should

seek to develop in their students (CCSS, 2010)

Practice Standards:HOW the students are learning

1st Half

Content Standards:WHAT the students are learning

2nd Half

The Standards for Mathematical Practice

Mathematically proficient students:Standard 1Standard 1:: Make sense of problems and Make sense of problems and persevere inpersevere in

solving them.solving them.Standard 2Standard 2:: Reason abstractly and Reason abstractly and quantitatively.quantitatively.Standard 3Standard 3:: Construct viable arguments and Construct viable arguments and critique critique

the reasoning of othersthe reasoning of others..Standard 4Standard 4:: Model with mathematicsModel with mathematics..Standard 5Standard 5:: Use appropriate tools Use appropriate tools strategically.strategically.Standard 6Standard 6:: Attend to precision.Attend to precision.Standard 7Standard 7:: Look for and make use of Look for and make use of structure.structure.Standard 8Standard 8:: Look for and express regularity Look for and express regularity in repeatedin repeated

reasoning.reasoning.

Requires: Teacher knowledge of mathematics language and content.

Teacher knowledge of how to promote student involvement in mathematical practices.

Shifting students’ focus from “answer getting” to solving problems.

Establishing the classroom environment as a community of learners.

Successfully Implementing the Standards …..

Jackie likes to watch birds find worms for their babies. Red birds can carry two worms at a time. Brown birds

can carry three worms at a time and blue birds can carry five worms at a time. There are 24 worms on the ground.

What might the Standards for Mathematical Practice look like in a

mathematical task?

How did you determine which practice standards matched the

problem? What were the criteria/evidence for selection?

( verbs, actions, etc)

What might the Standards for Mathematical Practice look like

in a task addressing content?

Video Reflection

What instructional decisions did the teacher make that seemed to support

the development of Standards for Mathematical Practice for students?

What did you hear or see in a mathematics classroom that is working

to build the Standards for Mathematical Practice?

Grouping the Standards

Bill McCallum, 2011

Alabama College and Career Ready Standards Initiative

http://alex.state.al.us/ccrs/ Illustrative Mathematics

http://commoncoretools.me/2011/01/16/the-illustrative-mathematics-project/

Inside Mathematics http://www.insidemathematics.org/

Websites

Reflection

1. Are there any aspects of your own thinking and/or practice that our work today has caused you to consider or reconsider? Explain.

2. Are there any aspects of your work with teachers and students’ mathematical learning that our work today has caused you to consider or reconsider? Explain.