teaching with the standards of mathematical practice

TEACHING WITH THE STANDARDS OF

MATHEMATICAL PRACTICE

OBJECTIVES• Will have a better understanding of what the

Standards of Mathematical Practice are

and…

• Will implement at least one of the strategies discussed today into your mathematics lesson plans.

The Content Standards include the mathematical knowledge and skills students

should learn.

Process Standards specify the mathematical ways of thinking students should develop

while learning mathematics content.

In the Common Core Standards the process standards are described as 8 Mathematical Processes that build on the NCTM Process

Standards and the National Research Council’s 5 Strands of Mathematical Proficiency.

Standards for Mathematical Practice:

• Make sense of problems and persevere in solving them

• Reason abstractly and quantitatively

• Construct viable arguments and critique the reasoning of others

• Model with mathematics

• Use appropriate tools strategically• Attend to precision• Look for and make use of structure

• Look for and express regularity in repeated reasoning

To emphasize the link between the content standards and the Mathematical Practices, the Common Core standards document indicates that content standards—beginning with the word "understand"—are especially good places for making connections between the content standards and Mathematical Practices. (Frieda Parker and Jodie Novak)

Given the importance of the Mathematical Practices in understanding and implementing the Common Core mathematics standards, it is essential that teachers, teacher leaders, and administrators have a firm knowledge of these practices. 

Frieda Parker and Jodie Novak

Owning the Common Core Math Practices

So, the Question is…

How do we implement

them into our teaching?

What do you do each day to build Mathematical Thinkers?

Do our classroom activities and discussions focus on students’

thinking related to how and why they chose a particular strategy, rather than on just getting the answer?

Do our classroom discussions move beyond oversimplified, and

sometimes unreliable, methods like key words (e.g., “I saw the word

altogether so I added.”)?

Do we pose one or two problems for students to solve and discuss thoroughly rather than supply a

list of problems to be solved as quickly as possible?

Do we often replace easier, more direct problems with problems that push

students to apply their understanding of math content?

What do we do to keep our students actively engaged in

solving problems?

Do we routinely ask students to talk and

write as they solve problems?

Do we provide ongoing opportunities for them to talk about both process and solution?

Are our questions frequent, purposeful

and high-level?

Do we give them time to discuss alternate ways to approach a problem?

Do we maintain students’ interest and expand their insights by asking them to share their ideas and actively solve problems with partners and groups?

How do we help our students develop positive attitudes and demonstrate

perseverance during problem solving?

Do we provide opportunities for students to explore complex problems that may include

multiple approaches or answers that are not immediately apparent?

Do we praise their efforts, with value placed on persistence and process rather

than on the answer?

Is our classroom environment supportive and nonthreatening?

Is Confusion openly discussed?

Including insights on ways to simplify

problems and move through confusion?

Do we acknowledge the efficiency of particular strategies, but still celebrate individual, reasonable

approaches?

Common Core Mathematical Practices: Posters, Rubrics, Scoring Sheets by Wise Guys found on TPT

Dodecahedron with Standards of Math Practices for Upper Grades (7th-12th)

by Weatherly

Free on

TpT

By Mary Lirette: Free on TpT

Pocket Chart Strips by Melissa McMurry on TpTFree

By Lynn Kapish on TpT--Free

By Christy Howe on TpT--Free

By Kristen Wheeler: Free on TpT

By Mrs. Ricca’s Kindergarten: Free on TpT

Standards for Math Practice Standards Posters: Teacher Set & Student Set

by Karen’s Kids School Room on TpT

By Jason’s On-line Classroom: Free on TpT

By Jason’s On-line Classroom: Free on TpT

By Room 306 on TpT--Free

Common Core ELA Instructional Shifts and Math Practices Posters

By Classroom Cupcakes Free on TpT

NUMERACY POSTERSby Light Bulbs & Laughter

Free on TpT

8 Mathematical Practices Student Reference PageBy The Marvelous Middle Grades found on TpT

(I put these on rings)

Study Cards by Molly Urban

Found on TpT

Kid-Friendly Cards by

Leslie Johnson on TpT

Free

By Lorena Reimann: Found on TpT--Free

ON-LINE RESOURCES

CCPS

MARS

Teachers-pay-Teachers

Common Core State Standards Initiative

Inside Mathematics

Loma Portal Elementary

Jordan School District

ASCD

Karen@nucenter.org

www.nucenter.org