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DIRECTIONS

Feel free to adapt these slides to use for a LOCAL PLC or PD on

Minnesota Department of Education | education.mn.gov

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Please Open the Link for Today's Work.

STUDENT DESMOS LINK

Minnesota Department of Education | education.mn.gov

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Creating a Culture of Mathematical Sense Making in a Standards Based Classroom – Part 1  

 MDE Mathematics Team

Chris Jones, Angela Hochstetter, Mike Huberty and Sara Van Der Werf

Minnesota Department of Education | education.mn.gov

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Warm-Up Question

Brennan is b years old. 

Shin is 1 year less than 2 times Brennan’s age. 

Marcos is 1 year less than 3 times Brennan’s age. 

The sum of the ages for all 3 boys is 22. 

Write an equation that represents this situation.

Minnesota Department of Education | education.mn.gov

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We will return to this question later!

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MDE Mathematics Team

CHRIS

JONES

COMPASS

Math Lead

Minnesota Department of Education | education.mn.gov

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ANGELA HOCHSTETTER

Math 

Assessment 

Specialist

MIKE HUBERTY

Math Assessment 

Specialist

SARA

VANDERWERF

Math

Standards

Specialist

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P

E

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Ten Minnesota Commitments to Equity

  1. Prioritize equity. 
  2. Start from within. 
  3. Measure what matters. 
  4. Go local. 
  5. Follow the money. 
  6. Start early. 
  7. Monitor implementation of standards. 
  8. Value people. 
  9. Improve conditions for learning. 
  10. Give students options. 

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Ten Minnesota Commitments to Equity - EXAMPLES

Minnesota Department of Education | education.mn.gov

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 Monitor implementation of standards. 

Define ‘standards for all’

Address challenge of ‘struggling student’

Starting from within improves conditions for learning. 

Awareness of Mathematical Sense Making

Focus on Adult Actions

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MATHEMATICAL PRACTICE (MP) #1� Make Sense of Problems & Persevere in Solving Them

Minnesota Department of Education | education.mn.gov

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2022 Minnesota Math Standards – Version 3

2022 MN Math Standards

Pp 8, 116-120

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MATHEMATICAL PRACTICE (MP) #1� Make Sense of Problems & Persevere in Solving Them

Minnesota Department of Education | education.mn.gov

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2022 Minnesota Math Standards – Version 3

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DESMOS How might a student answer this question?

Minnesota Department of Education | education.mn.gov

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DESMOS SLIDE #3

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Minnesota Department of Education | education.mn.gov

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https://www.youtube.com/watch?v=kibaFBgaPx4

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What are your reactions�to the�sense making�in this video?

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What are possible SCHOOL/CLASSROOM/TEACHER ACTIONS that lead to these student responses? 

Minnesota Department of Education | education.mn.gov

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Type your response in DESMOS

Slide #5

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What are the CHALLENGES to creating a classroom culture of mathematical sense making? 

Minnesota Department of Education | education.mn.gov

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Type your response in DESMOS

Slide #6

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We're back to the first question... now for Sense Making

Brennan is b years old. 

Shin is 1 year less than 2 times Brennan’s age. 

Marcos is 1 year less than 3 times Brennan’s age. 

The sum of the ages for all 3 boys is 22. 

Write an equation that represents this situation.

Minnesota Department of Education | education.mn.gov

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MCA Reasons for attending to Sense Making 

Computer Adaptive Test (CAT)

  • You cannot control which questions the algorithm selects
  • ~1,000 items/grade
  • Everyone in the class, school, district gets a unique set of questions
  • Aligned to the MN standards 

(not aligned to a specific curriculum)

Minnesota Department of Education | education.mn.gov

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MCA Reasons for attending to Sense Making

Minnesota Department of Education | education.mn.gov

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B enchmark 

A chievement 

 L evel 

D escriptors

Moving to the 

--> right requires

sense making 

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MCA Reasons for attending to Sense Making

Minnesota Department of Education | education.mn.gov

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MCA Reasons for attending to Sense Making

Minnesota Department of Education | education.mn.gov

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Rationales and State-level Data

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 How might you use the Item Rationales to build a culture of SENSE MAKING in Minnesota classrooms?

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Type your response in DESMOS

Slide #6

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Excuse? "I would do more SENSE MAKING but the MCA..."

#Nope... to score in the Meets or Exceeds category students MUST be able to MAKE SENSE of a variety of situations.

Minnesota Department of Education | education.mn.gov

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Today was just Part 1*Standards�*Awareness�*Adult Actions

Minnesota Department of Education | education.mn.gov

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2022 MN Math Standards

Math Practice #1 

Make sense of problems & persevere in solving them

What is part 2?  part 3?

�* More Webinars?

* Start LOCAL

* Make a possible Action Item

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Desmos Slide # 7

What 1 action will you take based on today's webinar?

Minnesota Department of Education | education.mn.gov

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Possible Action Items – or make your own

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ACTION ITEM #2

PLC Module Directions

ACTION ITEM #3

Classroom Discourse Observation Protocol

ACTION ITEM #1

Use MQT rationales for Sense Making

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Desmos Slide # 7

What 1 action will you take based on today's webinar?

Minnesota Department of Education | education.mn.gov

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What QUESTIONS do you have?

? ? ?

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Contact Us – We'd love to support you

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MiiGwetch (Ojibwe for Thank you) 

Minnesota Department of Education | education.mn.gov

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EXTRA SLIDES

Leading for educational excellence and equity, every day for every one. | education.state.mn.us

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Ten Minnesota Commitments to Equity - EXAMPLES

Minnesota Department of Education | education.mn.gov

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 Monitor implementation of standards. 

Define ‘standards for all’

Address challenge of ‘struggling student’

Starting from within improves conditions for learning. 

Awareness of Mathematical Sense Making

Focus on Adult Actions

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Minnesota Standards Revision Timeline�

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Review

Implement

Review

2016-2017

Phys. Education 2023-2024

TBD

2017-2018

Arts 2023-2024

2027-2028

2018-2019

Science 2024-2025

2028-2029

2019-2020

Language Arts 2025-2026*

2029-2030

2020-2021

Social Studies 2026-2027*

2030-2031

2021-2022

Mathematics 2027-2028*

2031-2032

  • Implementation date is finalized when rulemaking is complete
  • The Mathematics Standards were reviewed in 2021-22 and every 10 years thereafter (Minn Stat. § 120B.021, subd 4(f)).

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Standards of Mathematical Practice (SMP)

Minnesota Department of Education | education.mn.gov

1/12/2022

SMP1: Make sense of problems and persevere in solving them.

SMP2: Reason abstractly and quantitatively.

SMP3: Construct viable arguments and critique the reasoning of others.

SMP4: Model with mathematics.

SMP5: Use appropriate tools strategically.

SMP6: Attend to precision.

SMP7: Look for and make use of structure.

SMP8: Look for and express regularity in repeated reasoning.

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MCA Reasons for attending to Sense Making 

Varying contexts, depths of knowledge (DOKs), and difficulties

  •  ~1,000 items/grade 

(MQT is a small glimpse at magnitude)

  • Variety of DOKs (I – III)
  • Range of difficulty levels

Minnesota Department of Education | education.mn.gov

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Grade​

Items​

3rd​

267​

4th​

349​

5th​

244​

6th​

254​

7th​

288​

8th​

209​

HS​

66​

Total​

1,677​

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Math Standards Page

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Minnesota Department of Education | education.mn.gov

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Teacher Action discussion

Free Write/Brainstorm Desmos Slide #5

  • What TEACHER ACTIONS lead to this type of response? 
  • What classroom, school, teacher moves lead to this? 

  • Desmos Slide #6  What challenges come up for you when thinking about creating a classroom of sense making?

Minnesota Department of Education | education.mn.gov

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