Building a Math Foundation for TCS Preschool and Kindergarten Students

By Jen Tatasciore, Director of Curriculum at The Children’s School

At the beginning of this school year, The Children’s School introduced the Developing Roots math program to our preschool 3’s/4’s and 4’s/5’s and kindergarten classrooms. This play-based math curriculum, designed by Mathodology, aligns perfectly with our mission to foster joyful, hands-on learning experiences that build a solid foundation in math.

Why Developing Roots?

Developing Roots is designed specifically for young learners, placing a focus on understanding rather than memorization. This math program empowers students to explore numbers, shapes, and measurements in playful and meaningful ways, which allows them to develop a deep understanding of mathematical concepts early on. By using the same Singapore Math approach as our older grades, we ensure that students are not only enjoying math, but also building a seamless pathway to more advanced learning.

Engaging, Hands-On Math Activities

One of the things that makes Developing Roots so exciting is its hands-on, interactive approach. Students use a variety of manipulatives—blocks, beads, pushpins, and even nature during outdoor activities—to visualize and explore math concepts. They engage in scavenger hunts and create structures using descriptive language to practice spatial reasoning. These activities make math fun, encourage teamwork, and help students understand terms like “above” or “next to” in practical, memorable ways.

One popular math activity has students sitting back-to-back with a partner as they build mirror images of each other’s block structures. This exercise in listening, following directions, and visualizing spatial relationships has been a big hit, and it’s just one example of how Developing Roots blends learning with play to keep students engaged.

Building Conceptual Understanding

Developing Roots emphasizes understanding the “why” and “how” of math through repeated, meaningful exposure. Students aren’t simply memorizing facts; they’re exploring the logic behind numbers and operations. The program’s spiral curriculum reinforces concepts over time, with games and math shelves for continued practice. These shelves give students a choice in which activities to revisit, providing flexibility for reinforcement or deeper exploration, which teachers can direct based on each child’s needs.

Supporting Our Teachers

Our teachers are fully immersed in the Developing Roots program, having attended a hands-on training workshop over the summer. This training allowed them to experience the activities just as their students do, equipping them with the tools to implement engaging and effective lessons. Our teachers also have access to a comprehensive guide, which offers easy setup instructions and assessment tips, allowing them to support each child’s journey.

The Concrete-Pictorial-Abstract Approach

Developing Roots uses the CPA (Concrete-Pictorial-Abstract) approach, focusing on hands-on activities and visuals before introducing abstract concepts. This gradual progression allows students to build a robust foundation, enabling them to approach complex problems with confidence as they grow. By the time students move into first grade and begin using “Math in Focus,” they’re well-prepared to build on these core math principles.

A Positive Start in Math

Since implementing “Developing Roots,” we’ve seen a boost in enthusiasm and engagement. Even our youngest students are excited to participate in math time, eagerly exploring numbers and shapes with curiosity and confidence. It’s inspiring to see them use mathematical language and concepts in ways we haven’t seen before.

We’re excited to watch these early learners carry their love for math forward, knowing they are equipped with the skills and understanding that will support their journey through elementary school and beyond.