# Regularity in Repeated Reasoning through Choral Counting: Start at 6; count up by 5

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}

I wonder what can be learned from using a number line or ten-frames to shed more light on the patterns naturally found from members of the chorus.

Beginning with 6 and counting by 5s, we counted. Learners began adding “because…” to what they noticed. #Awesome

Choral Counting is an invitation; it provides an opportunity for each student to generate important mathematical ideas and for teachers to be curious about their students’ thinking. [Franke, Kindle Location 2057]

One learner said, “To move from one row to the next row, you add 30 because 6×5 is 30.” It is a regularity that repeats. Using the number line shows that to move from 6 to 36 there are 6 hops of 5 or a distance of 30.

The next comment was, “Each term on the diagonal going from the top left to the bottom right increases by 35 because 7×5 is 35.” Another regularity that repeats. Again, the number line shows 7 hops of 5 from 6 to 41, 11 to 46, 41 to 76, and so on.

Awesome that one “I notice…” that includes “because” inspires additional ones. Facilitating meaningful mathematical discourse invites students to develop and share important mathematical ideas.

What tools are within reach of learners as they deepen their numeracy and understanding? What is to be gained when we both author and illustrate mathematical understanding?

[Cross-posted at Author and Illustrate Understanding]

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.