"Counting is fundamental to learning mathematics in elementary school. It supports the development of a deep understanding of number, providing the core foundation for understanding place value, how numbers are composed and decomposed, and how they are related to one another. This deep understanding of numbers allows students to operate on them in powerful ways." ~Franke, Kazemi & Turrou 2018
Counting Collections gives students the opportunity to organize, count, and record a collection of objects. They might count by ones or skip count, or organize a different way.
Counting Collections can be used to extend ideas about multiplication, division, and fractions as well.
Additional Resources:
Choral Counting & Counting Collections: Transforming the PreK-5 Math Classroom
Three-act tasks, originally created by Dan Meyer, are dramatized mathematics investigations structured in a three-part sequence.
Act 1 = Provide a thought-provoking phenomenon for students to observe and ponder
Act 2 = Students request clarifying data/information and answer a math question about what they pondered in Act 1.
Act 3 = Conclude with an opportunity for students to reflect together on their solutions to the problem they created in Act 2.
Additional Resources
Problem Solving with Dan Meyer's 3 Act Tasks
Modeling with Mathematics through Three-Act Tasks
Graham Fletcher's 3 Act Task File Cabinet
Slow Reveal Graphs is an instructional routine created by Jenna Laib to promote sensemaking about data. From their website:
"Slow Reveal Graph (#slowrevealgraph) is an instructional routine that promotes sensemaking about data. This highly engaging routine uses scaffolded visuals and discourse to help students (in K-12 and beyond) make sense of data. As more and more of the graph is revealed, students refine their interpretation and construct meaning, often in surprising ways. This routine increases access for students without sacrificing rigor or engagement."
Free Resource: How to Teach Nature Journaling by John Muir Laws & Emilie Lygren
Infused with NGSS Cross-Cutting Concepts throughout!
Book Sections
Observation and Natural History
Inquiry, Investigation, and Scientific Thinking
Words: Articulated Thought and Storytelling
Pictures: Drawing and Visual Thinking
Numbers: Quantification and Mathematical Thinking
Incorprating Journaling into Lessons, Assessments, Frameworks
"By mathematizing books commonly available in classroom collections and reading them aloud, teachers provide students with opportunities to explore ideas, discuss mathematical concepts, and make connections to their own lives." ~ Hintz & Smith, 2013
Math
Article: Mathematizing Read-Alouds in Three Easy Steps by Allison Hintz and Antony Smith, 2013, in The Reading Teacher (PDF)
Book: Mathematizing Children's Literature: Sparking Connections, Joy, and Wonder through Read-Alouds and Discussion by Allison Hintz and Antony T. Smith, 2022
Science