11.07.18 Agenda: Embolden Your Inner Mathematician (Week 8)

Week Eight of Embolden Your Inner Mathematician

We commit to curation of best practices, connections between mathematical ideas, and communication to learn and share with a broad audience.

Course Goals:
At the end of the semester, teacher-learners should be able to say:

  • I can work within NCTM’s Eight Mathematical Teaching Practices for strengthening the teaching and learning of mathematics.
  • I can exercise mathematical flexibility to show what I know in more than one way.
  • I can make sense of tasks and persevere in solving them.

Today’s Goals

At the end of this session, teacher-learners should be able to say:

  • I can use and connect mathematical representations. (#NCTMP2A)
  • I can make sense of tasks and persevere in solving them. (#SMP-1)

From Principles to Actions: Ensuring Mathematical Success for All

Use and connect mathematical representations.  Effective teaching of mathematics engages students in making connections among mathematical representations to deepen understanding of mathematics concepts and procedures and as tools for problem solving.

Learning Progressions for today’s goals:

  • I can implement tasks that promote reasoning and problem-solving. (#NCTMP2A)
  • I can make sense of tasks and persevere in solving them.

Tasks:

What the research says:

From Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5

Too often students see mathematics as isolated facts and rules to be memorized. … students are expected to develop deep and connected knowledge of mathematics and are engaged in learning environments rich in use of multiple representations.

Mathematics learning is not a one size fits all approach …, meaning not every child is expected to engage in the mathematics in the same way at the same time. … the diversity of their sense-making approaches is reflected in the diversity of their representations.[p. 140]

08_Strengthen Mathematical Flexibility_ Use and Connect Mathematical Representations by Jill Gough on Scribd

[Cross posted at Experiments in Learning by Doing]


Gough, Jill, and Jennifer Wilson. “#LL2LU Learning Progressions.” Experiments in Learning by Doing or Easing the Hurry Syndrome. WordPress, 04 Aug. 2014. Web. 11 Mar. 2017.

Leinwand, Steve. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA.: National Council of Teachers of Mathematics, 2014. (p. 21) Print.

Smith, Margaret Schwan., et al. Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5. The National Council of Teachers of Mathematics, 2017.

10.24.18 Agenda: Embolden Your Inner Mathematician (Week 7)

Week Seven of Embolden Your Inner Mathematician

We commit to curation of best practices, connections between mathematical ideas, and communication to learn and share with a broad audience.

Course Goals:
At the end of the semester, teacher-learners should be able to say:

  • I can work within NCTM’s Eight Mathematical Teaching Practices for strengthening the teaching and learning of mathematics.
  • I can exercise mathematical flexibility to show what I know in more than one way.
  • I can make sense of tasks and persevere in solving them.

Today’s Goals

At the end of this session, teacher-learners should be able to say:

  • I can implement tasks that promote reasoning and problem solving. (#NCTMP2A)
  • I can make sense of tasks and persevere in solving them. (#SMP-1)

From Principles to Actions: Ensuring Mathematical Success for All

Implement tasks that promote reasoning and problem-solving: Effective teaching of mathematics engages students in solving and discussing tasks that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies.

Learning Progressions for today’s goals:

  • I can implement tasks that promote reasoning and problem-solving. (#NCTMP2A)
  • I can make sense of tasks and persevere in solving them.

 

Tasks:

  • Poetry and watercolor (a.k.a., the beauty of mathematics)
  • Phases of the moon (See slide deck)

What the research says:

From Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5

In ambitious teaching, the teacher engages students in challenging tasks and collaborative inquiry, and then observes and listens as students work so that she or he can provide an appropriate level of support to diverse learners.  The goal is to ensure that each and every student succeeds in doing meaningful, high-quality work, not simply executing procedures with speed and accuracy. (Smith, 4 pag.)

Equitable teaching of mathematics focuses on going deep with mathematics, including developing a deep understanding of computational procedures and other mathematical rules, formulas, and facts. When students learn procedures with understanding, they are then able to use and apply those procedures in solving problems. When students learn procedures as steps to be memorized without strong links to conceptual understanding, they are limited in their ability to use the procedure. (Smith, 93 pag.)

Evidence of work and thinking:

Slide deck:

07_Visual Patterns-Promote Mathematical Discourse by Jill Gough on Scribd

[Cross posted at Experiments in Learning by Doing]


Gough, Jill, and Jennifer Wilson. “#LL2LU Learning Progressions.” Experiments in Learning by Doing or Easing the Hurry Syndrome. WordPress, 04 Aug. 2014. Web. 11 Mar. 2017.

Leinwand, Steve. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA.: National Council of Teachers of Mathematics, 2014. (p. 21) Print.

Smith, Margaret Schwan., et al. Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5. The National Council of Teachers of Mathematics, 2017.

10.17.18 Agenda: Embolden Your Inner Mathematician (Week 6)

Week Six of Embolden Your Inner Mathematician

We commit to curation of best practices, connections between mathematical ideas, and communication to learn and share with a broad audience.

Course Goals:
At the end of the semester, teacher-learners should be able to say:

  • I can work within NCTM’s Eight Mathematical Teaching Practices for strengthening the teaching and learning of mathematics.
  • I can exercise mathematical flexibility to show what I know in more than one way.
  • I can make sense of tasks and persevere in solving them.

Today’s Goals

At the end of this session, teacher-learners should be able to say:

  • I can use and connect mathematical representations. (#NCTMP2A)
  • I can make sense of tasks and persevere in solving them. (#SMP-1)

From Principles to Actions: Ensuring Mathematical Success for All

Use and connect mathematical representations: Effective teaching of mathematics engages students in making connections among mathematical representations to deepen understanding of mathematics concepts and procedures and as tools for problem solving.

From Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5

In ambitious teaching, the teacher engages students in challenging tasks and collaborative inquiry, and then observes and listens as students work so that she or he can provide an appropriate level of support to diverse learners.  The goal is to ensure that each and every student succeeds in doing meaningful, high-quality work, not simply executing procedures with speed and accuracy. (Smith, 4 pag.)

Learning Progressions for today’s goals:

  • I can use and connect mathematical representations. (#NCTMP2A)
  • I can show my work so that a reader understands without have to ask me questions.

Tasks:

  • Visual representation of multiplication, exponents, subtraction. (Connect 2nd-5th grade with Algebra I and II.)
  • Apples and Bananas task (see slide deck)

What the research says:

Not only should students be able to understand and translate between modes of representations but they should also translate within a specific type of representation. [Smith, pag. 139] 

Equitable teaching of mathematics includes a focus on multiple representations. This includes giving students choice in selecting representations and allocating substantial instructional time and space for students to explore, construct, and discuss external representations of mathematical ideas. [Smith, pag. 141]

Too often students see mathematics as isolated facts and rules to be memorized. [Smith, pag. 141]

Anticipated work and thinking:

Slide deck:

06_Strengthen Mathematical Flexibility_ Use and Connect Mathematical Representations.pptx by Jill Gough on Scribd

[Cross posted at Experiments in Learning by Doing]


Gough, Jill, and Jennifer Wilson. “#LL2LU Learning Progressions.” Experiments in Learning by Doing or Easing the Hurry Syndrome. WordPress, 04 Aug. 2014. Web. 11 Mar. 2017.

Leinwand, Steve. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA.: National Council of Teachers of Mathematics, 2014. (p. 21) Print.

Smith, Margaret Schwan., et al. Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5. The National Council of Teachers of Mathematics, 2017.

10.03.18 Agenda: Embolden Your Inner Mathematician (Week 4)

Week Four of Embolden Your Inner Mathematician

We commit to curation of best practices, connections between mathematical ideas, and communication to learn and share with a broad audience.

Course Goals:
At the end of the semester, teacher-learners should be able to say:

  • I can work within NCTM’s Eight Mathematical Teaching Practices for strengthening the teaching and learning of mathematics.
  • I can exercise mathematical flexibility to show what I know in more than one way.
  • I can make sense of tasks and persevere in solving them.

Today’s Goals

At the end of this session, teacher-learners should be able to say:

  • I can implement tasks that promote reasoning and problem-solving. (#NCTMP2A)
  • I can make sense of tasks and persevere in solving them. (#SMP-1)

From Principles to Actions: Ensuring Mathematical Success for All

Implement tasks that promote reasoning and problem-solving:Effective teaching of mathematics engages students in solving and discussing tasks that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies.

Learning Progressions for today’s goals:

  • I can implement tasks that promote reasoning and problem-solving. (#NCTMP2A)
  • I can make sense of tasks and persevere in solving them. (#SMP-1)

Tasks:

Anticipated ways to mathematize Sheep Won’t SleepSee Jill’s blog post for additional details.

[Cross posted at Experiments in Learning by Doing]


Gough, Jill, and Jennifer Wilson. “#LL2LU Learning Progressions.” Experiments in Learning by Doing or Easing the Hurry Syndrome. WordPress, 04 Aug. 2014. Web. 11 Mar. 2017.

Leinwand, Steve. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA.: National Council of Teachers of Mathematics, 2014. (p. 21) Print.

09.19.18 Agenda: Embolden Your Inner Mathematician (Week 3)

Week Three of Embolden Your Inner Mathematician

We commit to curation of best practices, connections between mathematical ideas, and communication to learn and share with a broad audience.

Course Goals:
At the end of the semester, teacher-learners should be able to say:

  • I can work within NCTM’s Eight Mathematical Teaching Practices for strengthening the teaching and learning of mathematics.
  • I can exercise mathematical flexibility to show what I know in more than one way.
  • I can make sense of tasks and persevere in solving them.

Today’s Goals

At the end of this session, teacher-learners should be able to say:

  • I can use and connect mathematical representations. (#NCTMP2A)
  • I can show my work so a reader understand without asking me questions.

From Principles to Actions: Ensuring Mathematical Success for All

Use and connect mathematical representations: Effective teaching of mathematics engages students in making connections among mathematical representations to deepen understanding of mathematics concepts and procedures and as tools for problem solving.

Learning Progressions for today’s goals:

  • I can use and connect mathematical representations.
  • I can use and connect mathematical representations.
  • I can show my work so that a reader understands without have to ask me questions.

Tasks:

What the research says:

From Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5:

High-level tasks not only hold high mathematical expectations for every student, one aspect of equitable classrooms, they also “allow multiple entry points and varied solution strategies” (NCTM 2014, p. 17).

…Positioning students as valuable contributors to mathematical work, even as authors and owners of mathematical ideas, supports the development of positive mathematical identities and agency as mathematical thinkers. [p. 72-73]

Too often students see mathematics as isolated facts and rules to be memorized. … students are expected to develop deep and connected knowledge of mathematics and are engaged in learning environments rich in use of multiple representations.

Mathematics learning is not a one size fits all approach …, meaning not every child is expected to engage in the mathematics in the same way at the same time. … the diversity of their sense-making approaches is reflected in the diversity of their representations. [p. 140]

Examples of Anticipated thinking and outcomes:

[Cross posted on Experiments in Learning by Doing]


Gough, Jill, and Jennifer Wilson. “#LL2LU Learning Progressions.” Experiments in Learning by Doingor Easing the Hurry Syndrome.WordPress, 04 Aug. 2014. Web. 11 Mar. 2017.

Leinwand, Steve. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA.: National Council of Teachers of Mathematics, 2014. (p. 21) Print.

Smith, Margaret Schwan., et al. Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5. The National Council of Teachers of Mathematics, 2017.

Smith, Margaret, and Mary Kay Stein. 5 Practices for Orchestrating Productive Mathematics Discussions. The National Council of Teachers of Mathematics, 2018.

 

09.12.18 Agenda: Embolden Your Inner Mathematician (Week 2)

Week Two of Embolden Your Inner Mathematician

We commit to curation of best practices, connections between mathematical ideas, and communication to learn and share with a broad audience.

Course Goals:
At the end of the semester, teacher-learners should be able to say:

  • I can work within NCTM’s Eight Mathematical Teaching Practices for strengthening the teaching and learning of mathematics.
  • I can exercise mathematical flexibility to show what I know in more than one way.
  • I can make sense of tasks and persevere in solving them.

Today’s Goals

At the end of this session, teacher-learners should be able to say:

  • I can use and connect mathematical representations. (#NCTMP2A)
  • I can show my work so a reader understand without asking me questions.

From Principles to Actions: Ensuring Mathematical Success for All

Use and connect mathematical representations: Effective teaching of mathematics engages students in making connections among mathematical representations to deepen understanding of mathematics concepts and procedures and as tools for problem solving.

Learning Progressions for today’s goals:

  • I can use and connect mathematical representations.
  • I can use and connect mathematical representations.
  • I can show my work so that a reader understands without have to ask me questions.

Tasks:

  • Beanie Boos (see slide deck)
  • Number Talks
  • What do the standards say?

Addition and Subtraction

2nd Grade
Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

3rd Grade
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

4th Grade
Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Multiplication

3rd Grade
Multiply one-digit whole numbers by multiples of 10 in the range 10-90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.

4th Grade
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5th Grade
Fluently multiply multi-digit whole numbers using the standard algorithm.

Slide deck:


02_Use and Connect Multiple Representations 2018-19 by Jill Gough on Scribd

[Cross posted on Experiments in Learning by Doing]


Gough, Jill, and Jennifer Wilson. “#LL2LU Learning Progressions.” Experiments in Learning by Doing or Easing the Hurry Syndrome. WordPress, 04 Aug. 2014. Web. 11 Mar. 2017.

Leinwand, Steve. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA.: National Council of Teachers of Mathematics, 2014. (p. 21) Print.

“Number & Operations in Base Ten.” Number & Operations in Base Ten | Common Core State Standards Initiative, National Governors Association Center for Best Practices and Council of Chief State School Officers.

09.05.18 Agenda: Embolden Your Inner Mathematician (Week One)

Week One of Embolden Your Inner Mathematician

Teacher-learner-leaders will engage in a semester-long professional learning journey to deepen our understanding of NCTM’s Effective Mathematics Teaching Practices.

We commit to curation of best practices, connections between mathematical ideas, and communication to learn and share with a broad audience.

Course Goals:
At the end of the semester, teacher-learners should be able to say:

  • I can work within NCTM’s Eight Mathematical Teaching Practices for strengthening the teaching and learning of mathematics.
  • I can exercise mathematical flexibility to show what I know in more than one way.
  • I can make sense of tasks and persevere in solving them.

Today’s Goals

At the end of this session, teacher-learners should be able to say:

  • I can implement tasks that promote reasoning and problem-solving. (#NCTMP2A)
  • I can make sense of tasks and persevere in solving them. (#SMP-1)

From Principles to Actions: Ensuring Mathematical Success for All

Implement tasks that promote reasoning and problem-solving:Effective teaching of mathematics engages students in solving and discussing tasks that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies.

Learning Progressions for today’s goals:

  • I can implement tasks that promote reasoning and problem-solving. (#NCTMP2A)
  • I can make sense of tasks and persevere in solving them. (#SMP-1)

Tasks:

Slide deck:

01_Implement Tasks Promote Reasoning Problem Solving 2018-19 Embolden Your Inner Mathematician by Jill Gough on Scribd

[Cross posted on Experiments in Learning by Doing]


Gough, Jill, and Jennifer Wilson. “#LL2LU Learning Progressions.” Experiments in Learning by Doing or Easing the Hurry Syndrome. WordPress, 04 Aug. 2014. Web. 11 Mar. 2017.

Leinwand, Steve. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA.: National Council of Teachers of Mathematics, 2014. (p. 21) Print.

03.30.17 Mathematizing Children’s Literature #TrinityLearns

Math Committee Professional Development
Jill Gough (@jgough), Becky Holden (@bholden86), Marsha Harris (@marshamac74)

March 30, 2017 Morning Session: 
1/2 Kindergarten, 1/2 1st Grade, 1/2 2nd Grade, 1/2 3rd Grade

March 31, 2017 Morning Session:
1/2 Kindergarten, 1/2 1st Grade, 1/2 2nd Grade, 1/2 3rd Grade

Goals:

  • I can facilitate intentional tasks to improve numeracy and flexibility for all learners.
  • I can mathematize children’s literature to foster several of the Standards of Mathematical Practice.
    • I can make sense of tasks and persevere in solving them.

Learning Plan:

8:00 15 min Welcome and Intentions
8:15 60 min Numeracy through Literature – Notice and Note

How Many Seeds in a Pumpkin? (Mr. Tiffin’s Classroom Series)
by Margaret McNamara

9:15 60 min Designing for Learning (in vertical pairs)

  • Read and discuss
  • Brainstorm important concepts
  • Anticipate how learners will think and share
  • Connect to essential learnings or skills
  • Select presenter and get ready to monitor “students”
10:15 60 min Practice – Facilitate planned read aloud with others
in your base-team teachers serving as the learners.
11:15 10 min Next steps and challenge
11:30 Session ends with feedback, please

Resources:

Kindergarten and 1st Grade choices

2nd Grade and 3rd Grade choices

 

02.08.17 Mathematizing Children’s Literature #TrinityLearns

Math Committee Professional Development
Jill Gough, Marsha Harris, Becky Holden

February 8, 2017

  • Morning Session: Early Learners Leads, Pre-K Leads + 2 Assistants, 1/2 Kindergarten
  • Afternoon Session: Early Learners Assistants, Pre-K Assistants, 1/2 Kindergarten

Goals:

  • I can facilitate intentional tasks to improve numeracy and flexibility for all learners.
  • I can mathematize children’s literature to foster several of the Standards of Mathematical Practice.
    • I can make sense of tasks and persevere in solving them.

Learning Plan:

15 min Welcome and Intentions
45 min Numeracy through Literature – Notice and Note

Love Monster and the Last Chocolate by Rachel Bright

45 min Designing for Learning (in vertical teams)

Read, select, and design – anticipate and connect to concept cloud

  • Read and discuss
  • Brainstorm important concepts
  • Anticipate how learners will think and share
  • Connect to essential learnings or skills
  • Select presenter and get ready to monitor “students”
50 min Facilitate planned read aloud with others in
your base-team teachers serving as the learners

10 min Next steps and challenge
Session ends

01.13.17 Number Talks & Number Strings #TrinityLearns

Math Committee Professional Development
Jill Gough, Marsha Harris, Becky Holden

Friday, January 13

  • Morning Session: 2nd Grade Leads, 1/2 of 1st Grade
  • Afternoon Session: 2nd Grade Assistants, 1/2 of 1st Grade

Goals:

Learning Plan:

15 min Welcome – Intent and Purpose
45 min Strategies: Number Talks and Number Strings
45 min Minilessons for …

Read, select, and design – anticipate and connect to strategies

  • Read and discuss one number string
  • Brainstorm important strategies and Anticipate how learners will think and solve using Post-it notes
  • Connect to essential learnings or skills
  • Select presenter and get ready to monitor “students”
50 min Practice – Facilitate planned number string with other grade level teachers serving as the learners

  • 5th/6th Grade Number String
  • 4th Grade Number String
  • 3rd Grade Number String
10 min Next steps and challenge
Session ends

Resources:

Curriculum Support Materials:

1st Grade

2nd Grade