TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.
-
Upload
martha-paul -
Category
Documents
-
view
224 -
download
0
Transcript of TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.
![Page 1: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/1.jpg)
TEACHING WITH THE STANDARDS OF
MATHEMATICAL PRACTICE
![Page 2: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/2.jpg)
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.
![Page 3: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/3.jpg)
The Content Standards include the mathematical knowledge and skills students
should learn.
![Page 4: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/4.jpg)
Process Standards specify the mathematical ways of thinking students should develop
while learning mathematics content.
![Page 5: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/5.jpg)
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.
![Page 6: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/6.jpg)
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
![Page 7: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/7.jpg)
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)
![Page 8: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/8.jpg)
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
![Page 9: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/9.jpg)
Owning the Common Core Math Practices
![Page 10: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/10.jpg)
So, the Question is…
How do we implement
them into our teaching?
![Page 11: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/11.jpg)
What do you do each day to build Mathematical Thinkers?
![Page 12: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/12.jpg)
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?
![Page 13: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/13.jpg)
Do our classroom discussions move beyond oversimplified, and
sometimes unreliable, methods like key words (e.g., “I saw the word
altogether so I added.”)?
![Page 14: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/14.jpg)
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?
![Page 15: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/15.jpg)
Do we often replace easier, more direct problems with problems that push
students to apply their understanding of math content?
![Page 16: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/16.jpg)
What do we do to keep our students actively engaged in
solving problems?
![Page 17: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/17.jpg)
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?
![Page 18: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/18.jpg)
Do we maintain students’ interest and expand their insights by asking them to share their ideas and actively solve problems with partners and groups?
![Page 19: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/19.jpg)
How do we help our students develop positive attitudes and demonstrate
perseverance during problem solving?
![Page 20: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/20.jpg)
Do we provide opportunities for students to explore complex problems that may include
multiple approaches or answers that are not immediately apparent?
![Page 21: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/21.jpg)
Do we praise their efforts, with value placed on persistence and process rather
than on the answer?
![Page 22: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/22.jpg)
Is our classroom environment supportive and nonthreatening?
![Page 23: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/23.jpg)
Is Confusion openly discussed?
Including insights on ways to simplify
problems and move through confusion?
![Page 24: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/24.jpg)
Do we acknowledge the efficiency of particular strategies, but still celebrate individual, reasonable
approaches?
![Page 25: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/25.jpg)
![Page 26: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/26.jpg)
![Page 27: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/27.jpg)
![Page 28: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/28.jpg)
![Page 29: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/29.jpg)
![Page 30: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/30.jpg)
Common Core Mathematical Practices: Posters, Rubrics, Scoring Sheets by Wise Guys found on TPT
![Page 31: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/31.jpg)
Dodecahedron with Standards of Math Practices for Upper Grades (7th-12th)
by Weatherly
Free on
TpT
![Page 32: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/32.jpg)
By Mary Lirette: Free on TpT
![Page 33: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/33.jpg)
Pocket Chart Strips by Melissa McMurry on TpTFree
![Page 34: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/34.jpg)
![Page 35: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/35.jpg)
By Lynn Kapish on TpT--Free
![Page 36: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/36.jpg)
By Christy Howe on TpT--Free
![Page 37: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/37.jpg)
By Kristen Wheeler: Free on TpT
![Page 38: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/38.jpg)
By Mrs. Ricca’s Kindergarten: Free on TpT
![Page 39: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/39.jpg)
Standards for Math Practice Standards Posters: Teacher Set & Student Set
by Karen’s Kids School Room on TpT
![Page 40: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/40.jpg)
By Jason’s On-line Classroom: Free on TpT
![Page 41: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/41.jpg)
By Jason’s On-line Classroom: Free on TpT
![Page 42: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/42.jpg)
![Page 43: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/43.jpg)
By Room 306 on TpT--Free
![Page 44: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/44.jpg)
Common Core ELA Instructional Shifts and Math Practices Posters
By Classroom Cupcakes Free on TpT
![Page 45: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/45.jpg)
NUMERACY POSTERSby Light Bulbs & Laughter
Free on TpT
![Page 46: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/46.jpg)
![Page 47: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/47.jpg)
8 Mathematical Practices Student Reference PageBy The Marvelous Middle Grades found on TpT
(I put these on rings)
![Page 48: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/48.jpg)
Study Cards by Molly Urban
Found on TpT
![Page 49: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/49.jpg)
Kid-Friendly Cards by
Leslie Johnson on TpT
Free
![Page 50: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/50.jpg)
By Lorena Reimann: Found on TpT--Free
![Page 51: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/51.jpg)
ON-LINE RESOURCES
CCPS
MARS
Teachers-pay-Teachers
Common Core State Standards Initiative
Inside Mathematics
Loma Portal Elementary
Jordan School District
ASCD
![Page 52: TEACHING WITH THE STANDARDS OF MATHEMATICAL PRACTICE.](https://reader036.fdocuments.net/reader036/viewer/2022062321/56649e5f5503460f94b5991e/html5/thumbnails/52.jpg)