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Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges
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Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Dec 22, 2015

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Page 1: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Mathematics 3 – 8Standards for Mathematical Practice

TLQP 2013-14

Tom SweeneyThe Sage Colleges

Page 2: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Sources• http://www.corestandards.org/ • http://www.parcconline.org/ • http://engageny.org/• http://www.illustrativemathematics.org/ • http://www.achievethecore.org/ • http://commoncoretools.me/ • http://insidemathematics.org/• https://www.teachingchannel.org/videos/

Page 3: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Common Core State Standards for Mathematics (CCSSM)

• Standards for Mathematical Practice &(recurring throughout the grades)

(our focus today)

• Standards for Mathematical Content(different at each grade level)

Page 4: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Gain a deeper understanding of the eight Standards for Mathematical Practice (SMP)

Identify evidence of teachers using SMP in their classrooms

Identify evidence of students using SMP in

their work.

Objectives

Page 6: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.
Page 7: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Initial Activity

Newspaper problem

Standards for Mathematical Practice

Compliments of Brenda Lidistri

Page 8: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.

Pass out paragraph descriptors assign a stand to each neighboring pair of participants

Page 9: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical PracticeACTIVITY (initial)

For your assigned Standard of Mathematical Practice:

What are the verbs that illustrate the student actions for your assigned mathematical practice?

Circle, highlight or underline them.Discuss with a partner:

What stands out?

Page 10: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

SMP1: Explain and make conjectures…

SMP2: Make sense of…

SMP3: Understand and use…

SMP4: Apply and interpret…

SMP5: Consider and detect…

SMP6: Communicate precisely to others…

SMP7: Discern and recognize…

SMP8: Notice and pay attention to…

Page 11: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical PracticeActivity B

Divide a piece of chart paper in half and on one side label it Student Evidence and on the other side label it Teacher Evidence. Don’t forget to write the number of the MP you selected on your chart paper as well.

Page 12: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

ACTIVITY B (cont’d)

Brainstorm with members at your table what students would be doing in the classroom if this MP was being implemented effectively and list evidence on your chart paper.

Next, brainstorm with members at your table what teachers would be doing in the classroom if this MP was being implemented effectively and list evidence on your chart paper.

Standards for Mathematical Practice

Page 13: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

ACTIVITY B (cont’d)

Locate all those tables that worked on the same MP as you and come together as one group and share your work. Review the evidence and determine if it should stay on the chart or be deleted. Be prepared to report out.

Standards for Mathematical Practice

Page 14: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

MP 1:Make sense of problems and persevere in solving them.

Standards for Mathematical Practice

Page 15: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

MP 2:Reason abstractly and quantitatively.

Page 16: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

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

Page 17: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

MP 4:Model with mathematics.

Page 18: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

MP 5:Use appropriate tools strategically.

Page 19: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

MP 6:Attend to precision.

Page 20: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

MP 7:Look for and make use of structure.

Page 21: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

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

Page 22: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

PROBLEM

A rectangle has sides of length 6 in. and 2 in. What is its area ?

Page 23: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

Identify the MPs that align with this problem. Discuss at your tables.

Page 24: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

Pose a different problem that could go deeper but require the same mathematical content knowledge?

Page 25: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

Explain what students might learn from the second question compared to the first question?

Page 26: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

Explain what a teacher might learn from how students answer the first question compared to how students answer the second question?

Page 27: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

McDonald’s Claim

Wikipedia reports that 8% of all Americans eat at McDonalds every day.

310 million Americans and 12,800 McDonalds…

Do you believe the Wikipedia report to be true?

Create a mathematical argument tojustify your position.

Page 28: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

MCDONALD’S CLAIM PROBLEM

Which mathematical practices are needed to complete the task?

Page 29: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Integrating the Standards for Mathematical Practice

Inside +=x Mathematics

Fran Dickenson (3:53)

Watch the video using the Inside Mathematics link above and collect evidence from the lesson that exemplifies the Standards for Mathematical Practice. Focus on both the students and the teacher.

http://www.insidemathematics.org/index.php/math-standards-together

Page 30: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Guess My Rule from the Video

X Y10 276 158 21

? 5 120

0X

Page 31: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Integrating the Standards for Mathematical Practice

(Continued)Inside +=x

Mathematics Fran Dickenson

Compare your evidence with an elbow partner and then engage in a conversation with members at your table to come to consensus as to which MPs you observed.

Page 32: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Integrating the Standards for Mathematical Practice

(continued)

Inside +=xMathematics

(video)

For a more in-depth study of the Standards for Mathematical Practice, please visithttp://www.insidemathematics.org/index.php/commmon-core-math-intro.

Page 33: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

MP PLACEMAT ACTIVITY

Everyone will need the MP Placemat and the MP Activity Cards. Read through the MP Activity Cards on your own. Once you have read the activity cards, you need to decide where you would put them on your placemat. You have 16 activity cards and 16 boxes on your placemat.

Page 34: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Standards for Mathematical Practice

MP PLACEMAT ACTIVITY (cont’d)

First you will have time to work independently and then in small groups at your table. In the end, your table must come to consensus and a representative needs to come up and post their results on the master placemat.

Page 35: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Instructional Self-assessment• Examine tasks in your instructional

materials:– Higher cognitive demand?– Lower cognitive demand?

• Where are the challenging tasks?• Do all students have the opportunity to

grapple with challenging tasks?• Examine the tasks in your assessments:

– Higher cognitive demand?– Lower cognitive demand?

Page 36: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

SMP 3. Construct viable arguments and critique the reasoning of others

• Students make conjectures

• Students justify their conclusions and communicate them

to others

• Students compare the effectiveness of two plausible

arguments

• Students listen and respond to the arguments of others for

sense making and clarity

Page 37: Mathematics 3 – 8 Standards for Mathematical Practice TLQP 2013-14 Tom Sweeney The Sage Colleges.

Thank you!

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