Tag Archives: Becky Holden

Book study: #ChoralCounting and #CountingCollections – session 2 #TrinityLearns

As a community, we are focused on high-quality instruction that leads to deep understanding.  The teachers of our youngest learners take action to develop young, strong mathematicians.  Together, we are studying Choral Counting and Counting Collections: Transforming the PreK-5 Math Classroom to deepen and strengthen our understanding of learning and teaching early numeracy.

Counting is a vibrant part of early learning about mathematics. Young children are constantly counting as they make sense of their world. [Franke, Kindle Locations 490-491}

For our second session together, we turned our attention to choral counting and what we learn when we listen to the diverse thinking of the learners in the room.  As you can see from the tweets below, our teachers are working with our young students to confirm a sense of belonging while strengthening our culture of being seen, known, and heard by teachers and peers.

Choral Counting gets to the heart of what we want for our mathematical communities. This activity creates space for all students to notice, to wonder, and to pursue interesting ideas. Students and teachers alike wonder together about patterns, and why and how numbers change or stay the same. [Franke, Kindle Locations1526-1528}

In addition to deeper work with choral counting, we continue to empower young learners to count, record, and think.

Learning about counting and cardinality are big ideas in the early grades. Having a collection of items invites children to count to find the total number of objects. As children count, they come to understand the relationship between numbers and quantities and connect counting to cardinality. [Franke, Kindle Locations 501-503}

How do we strengthen and deepen understanding, confidence, and efficacy? Who do we help when learners persevere, show their work, and . . . ? What are ways to empower learners to become self-correcting, self-reliant, and independent?

#TrinityLearns


Franke, Megan L. Choral Counting and Counting Collections: Transforming the PreK-5 Math Classroom.. Stenhouse. Kindle Edition.

Book study: #ChoralCounting and #CountingCollections – session 1 #TrinityLearns

In Making a Case for ‘Timely, Purposeful, Progressive’ PD, Brian Curtin writes

Want to maximize professional-development opportunities? Provide specific content that suits teachers’ most pressing needs—when they need it most. In order to ensure relevancy, teachers must be able to use the new insights they’ve gained right away.

As a community, we are focused on high-quality instruction that leads to deep understanding.  The teachers of our youngest learners take action to develop young, strong mathematicians.  Together, we are studying Choral Counting and Counting Collections: Transforming the PreK-5 Math Classroom to deepen and strengthen our understanding of learning and teaching early numeracy.

Prior to our first meeting on February 4, 2019, 16 teachers and administrators committed to learning together by studying the first chapter of Choral Counting and Counting Collections.  The plan for the Feb. 4 meeting is shown at the end of this post and included time to discuss what we read as well as practice together.

We started with this collection.

And ended up with this:

How might we anticipate ways students will show their thinking and record their work?

Were teachers able to use the new insights they’ve gained right away?

The authors of Choral Counting and Counting Collections: Transforming the PreK-5 Math Classroom tell us:

These activities help us enact our commitments to equity. We know that a sense of belonging and investment, of being seen, known, and heard by teachers and classmates, is fundamental to creating schools where children and families feel welcome and where they flourish. Because these activities foreground student sense making and cultivate a joy for doing mathematics, they can be powerful tools for teachers to counter narrow views that only a few can identify with mathematics or that mathematics is disconnected from students’ home lives, their communities, and their own interests.

We are motivated and driven to learn more so that we continue to serve our young learners in the spirit of our mission and vision:

Trinity School creates a community of learners in a diverse and distinctly elementary-only environment, in which each child develops the knowledge, skills, and character to achieve his or her unique potential as a responsible, productive, and compassionate member of the School and greater community.

Celebrating the present and preparing our students for the future within a nurturing and caring educational environment, we:

  • Cherish Childhood
  • Deepen Students’ Educational Experience
  • Empower Students in Their Learning

So that our students:

  • Build Academic Foundation
  • Develop Character Foundation
  • Exhibit Continued Curiosity, Creativity, and Confidence


Curtin, Brian. “Making a Case for ‘Timely, Purposeful, Progressive’ PD.” Education Week Teacher, Education Week, 19 Feb. 2019, www.edweek.org/tm/articles/2017/12/06/making-a-case-for-timely-purposeful-progressive.html.

Franke, Meghan L., et al. Choral Counting and Counting Collections: Transforming the PreK-5 Math Classroom. Stenhouse Publishers, 2018.

Overview: Embolden Your Inner Mathematician

Taking action on known national goals, 15 Trinity School teacher-learner-leaders will begin 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.

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.

Facilitators:

Weekly schedule of topics:

Sep. 6 Subitizing and Number Talks:
 Elicit and use evidence of student thinking
Sep. 13 Numeracy and Visual Learning:
 Elicit and use evidence of student thinking
Sep. 20 Make sense of tasks and persevere in solving them:
 Facilitate meaningful mathematical discourse
Sep. 27 Attend to Precision and Construct a Viable Argument:
Facilitate meaningful mathematical discourse
Oct. 4 Strengthen Mathematical Flexibility:
Use and connect mathematical representations
Oct. 11 Visual Patterns – Strength Mathematical Flexibility:
Use and connect mathematical representations
Oct. 18 Mathematizing Children’s Literature (part 1):
Implement tasks that promote reasoning and problem solving
Oct. 25 Mathematizing Children’s Literature (part 2):
Implement tasks that promote reasoning and problem solving
Nov. 1 Designing Intentional Number Strings:
Building Procedural Fluency from Conceptual Understanding
Nov. 8 Using Appropriate Tools Strategically:
Building Procedural Fluency from Conceptual Understanding
Nov. 15 Empowering Learners:
Establish mathematical goals to focus learning
Nov. 22 Thanksgiving
Nov. 29 Deep Practice – challenged and learning
Support productive struggle in learning mathematics
Dec. 6 The Art of Questioning or Making Sense of Tasks part 2
Support productive struggle in learning mathematics
Dec. 13 14 Review and Reflection:
Pose purposeful questions

Anchor Resources:

Norms:


Leinwand, Steve. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA.: National Council of Teachers of Mathematics, 2014. (p. 46) Print.

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

Smith, Margaret Schwan., et al. Taking Action: Implementing Effective Mathematics Teaching Practices in Grades 6-8. The National Council of Teachers of Mathematics, 2017.

Stein, Mary Kay., and Margaret Smith. 5 Practices for Orchestrating Productive Mathematics Discussions. N.p.: n.p., n.d. Print.

Summer PD: Day 2 Mathematical Flexibility

Summer Literacy and Mathematics Professional Learning
June 5-9, 2017
Day 2 – Mathematical Flexibility
Jill Gough and Becky Holden

Today’s focus and essential learning:

I can demonstrate mathematical flexibility to show what I know in more than one way.

(but , what if I can’t?)

Learning target and pathway:

Mathematics is a subject that allows for precise thinking, but when that precise thinking is combined with creativity, flexibility, and multiplicity of ideas, the mathematics comes alive for people (Boaler, 58 pag.)

…we know that what separates high achievers from low achievers is not that high achievers know more math, it is that they interact with numbers flexibly and low achievers don’t.  (Boaler, n. pag.)

UED: 8:45 – 11:15  / EED: 1:15 – 2:45

 Slide deck

Resources:

Summer PD: Literacy and Numeracy

As part of our practice, we offer in-house summer professional learning around literacy and numeracy.

There are two strands that both focus on the workshop model and conferring with students in literacy and in math.  Tiffany Coleman (@TColemanReads)and Lisa Eickholdt (@LisaEickholdt) will each join us on June 5th and 6th, respectively, to further our work in conferring.  On June 7th, Marsha Harris (@MarshaMac74) will round out the literacy work with a session on differentiation.  Jill Gough (@jgough) and Becky Holden (@bholden86) will facilitate three days of interactive math learning so that it parallels the work in literacy.
Here’s the big picture view of the professional learning days:
 Our essential learnings are based on ALT’s goal for all faculty-learners:

Fall PD Opportunity: Embolden Your Inner Mathematician #TrinityLearns

How do we effectively lead mathematics education in the era of the digital age?  We commit to curation of best practices, connections between mathematical ideas, and communication to learn and share with a broad audience.  

To build confidence as well as a more visual approach to elementary mathematics learning and teaching, we have designed ongoing, early morning, job-embedded professional learning around teaching practices and current research. 

Goals:

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

  • 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.
  • I can work within NCTM’s Eight Mathematical Teaching Practices for strengthening the teaching and learning of mathematics.

Details:

Facilitators:

The weekly schedule of topics are as follows:


If you are  interested in emboldening your inner mathematician and would like to join us, please contact us for additional details.

Jill Gough | Director of Teaching & Learning
Experiments in Learning by Doing | Jill Gough notes
jgough@trinitatl.org | @jgough

Trinity School | www.trinityatl.org
4301 Northside Parkway | Atlanta, GA 30327
Phone 404.240.6220 | Fax 404.231.8111

Mathematizing Read-Alouds

Mathematizing Read-Alouds
KSU Conference on Literature for Children and Young Adults
March 21, 2017
Becky Holden, Trinity School
Megan Noe, Trinity School
Jill Gough, Trinity School

How might we deepen our understanding of numeracy using Children’s literature? What if we mathematize our read aloud books to use them in math as well as reading and writing workshop? We invite you to listen and learn while we share ways to deepen understanding of numeracy and literacy. Come exercise your mathematical flexibility to show what you know more than one way.

Books on which to practice:

PD planning: #Mathematizing Read Alouds

How might we deepen our understanding of numeracy using children’s literature? What if we mathematize our read aloud books to use them in math as well as reading and writing workshop?

Have you read Love Monster and the last Chocolate from Rachel Bright?

Becky Holden and I planned the following professional learning session to build common understanding and language as we expand our knowledge of teaching numeracy through literature.  Each Early Learners, Pre-K, and Kindergarten math teacher participated in 2.5-hours of professional learning over the course of the day.

screen-shot-2017-02-10-at-5-12-49-pm

To set the purpose and intentions for our work together we shared the following:

screen-shot-2017-01-15-at-8-35-21-am screen-shot-2017-01-15-at-8-35-31-am

Becky’s lesson plan for Love Monster and the last Chocolate is shown below:

lovemonsterlessonplan

After reading the story, we asked teacher-learners what they wondered and what they wanted to know more about.  After settling on a wondering, we asked our teacher-learners to use pages from the book to anticipate how their young learners might answer their questions.

After participating in a gallery walk to see each other’s methods, strategies, and representations, we summarized the ways children might tackle this task. We decided we were looking for

  • counts each one
  • counts to tell how many
  • counts out a particular quantity
  • keeps track of an unorganized pile
  • one-to-one correspondence
  • subitizing
  • comparing

When we are intentional about anticipating how learners may answer, we are more prepared to ask advancing and assessing questions as well as pushing and probing questions to deepen a child’s understanding.

If a ship without a rudder is, by definition, rudderless, then formative assessment without a learning progression often becomes plan-less. (Popham,  Kindle Locations 355-356)

Here’s the Kindergarten learning progression for I can compare groups to 10.

Level 4:
I can compare two numbers between 1 and 10 presented as written numerals.

Level 3:
I can identify whether the number of objects (1-10) in one group is greater than, less than, or equal to the number of objects in another group by using matching and counting strategies.

Level 2:
I can use matching strategies to make an equivalent set.

Level 1:
I can visually compare and use the use the comparing words greater than/less than, more than/fewer than, or equal to (or the same as).

Here’s the Pre-K  learning progression for I can keep track of an unorganized pile.

Level 4:
I can keep track of more than 12 objects.

Level 3:
I can easily keep track of objects I’m counting up to 12.

Level 2:
I can easily keep track of objects I’m counting up to 8.

Level 1:
I can begin to keep track of objects in a pile but may need to recount.

How might we team to increase our own understanding, flexibility, visualization, and assessment skills?

Teachers were then asked to move into vertical teams to mathematize one of the following books by reading, wondering, planning, anticipating, and connecting to their learning progressions and trajectories.

During the final part of our time together, they returned to their base-classroom teams to share their books and plans.

After the session, I received this note:

Hi Jill – I /we really loved today. Would you want to come and read the Chocolate Monster book to our kids and then we could all do the math activities we did as teachers? We have math most days at 11:00, but we could really do it when you have time. We usually read the actual book, but I loved today having the book read from the Kindle (and you had awesome expression!).

Thanks again for today – LOVED it.

How might we continue to plan PD that is purposeful, actionable, and implementable?


Cross posted on Connecting Understanding.


Hattie, John A. (Allan); Fisher, Douglas B.; Frey, Nancy; Gojak, Linda M.; Moore, Sara Delano; Mellman, William L. (2016-09-16). Visible Learning for Mathematics, Grades K-12: What Works Best to Optimize Student Learning (Corwin Mathematics Series). SAGE Publications. Kindle Edition.

Norris, Kit; Schuhl, Sarah (2016-02-16). Engage in the Mathematical Practices: Strategies to Build Numeracy and Literacy With K-5 Learners (Kindle Locations 4113-4115). Solution Tree Press. Kindle Edition.

Popham, W. James. Transformative Assessment in Action: An Inside Look at Applying the Process (Kindle Locations 355-356). Association for Supervision & Curriculum Development. Kindle Edition.

#NCTMRegionals Day 1 notes

Sharing my day one notes from the NCTM Regional Conference in Philadelphia:

Peg Cagle: Teacher Leadership – Advocating for ourselves, our students, our profession.

“The difference between listening and pretending to listen, I discovered, is enormous. One is fluid, the other is rigid. One is alive, the other is stuffed. Eventually, I found a radical way of thinking about listening. Real listening is a willingness to let the other person change you. When I’m willing to let them change me, something happens between us that’s more interesting than a pair of dueling monologues.” – Alan Alda

nctmregional2016-cagle

Becky Holden: Building Understanding – Meeting Students Where They Are

nctmregional2016-bholden

Kristin Gray: Lesson Planning That Begins with Student Thinking
nctmregional2016-mathminds

Mashup: #5Practices and #WODB

What if we engage in purposeful instructional talk as a team to focus on the instructional core? How might we design and implement a differentiated action plan across our grade to meet all learners where they are? What if we learn to integrate Smith and Stein’s 5 Practices for Orchestrating Productive Mathematics Discussions?

Becky Holden (@bholden86), our EED math specialist, and I are working on formative assessment using anticipate and monitor, the first two of Smith and Stein’s 5 Practices.  While we don’t want a template, we keep using this sketch to plan, think, and share.

anticipation-2

It’s still a work in progress.  We’d love to know what you think.

Brian Toth (@btoth4thgrade) shared his learners and time with me so that I could play and work with our students on SMP-6, attend to precision.

The following three sketches are the notes and jots of what we anticipate our learners will think and say prior to the start of class.

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Our purposeful instructional talk set learning goals of I can attend to precision, and I can demonstrate flexibility to show what I know more than one way.  From our students, we are looking for complete sentences with strong vocabulary and word choice.  We want to see internal motivation to think deeply and a willingness to go past a surface initial answer. We know that we are growing toward constructing viable arguments. From our team, we are collaborating to learn more about our learners, to become more flexible ourselves, and to notice and note details of student answers so that we can design and implement a differentiated action plan across our grade to meet all learners where they are.

Toth-wodb

What if we learn and practice together? How might we grow in confidence, competence, precision, and flexibility?