teaching with the standards of mathematical practice
TRANSCRIPT
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
