Mathematics

The Lower School Bancroft Math curriculum embodies a philosophy deeply rooted in several core principles. At its heart lies a commitment to constructivist learning, wherein students actively engage in constructing their comprehension of mathematical concepts through exploration, discussion, and problem-solving.

Rather than simply memorizing facts and algorithms, the program places a strong emphasis on nurturing students’ problem-solving skills, encouraging them to approach mathematical challenges with creativity and apply concepts within real-world contexts, all while effectively communicating their reasoning.

Central to the Bancroft approach is the cultivation of deep conceptual understanding, achieved through hands-on activities, visual representations, and the utilization of multiple representations to establish a sturdy foundation of comprehension.

Through collaborative learning environments, students are empowered to work together, solving problems, discussing concepts, and justifying their reasoning, fostering not only mathematical proficiency but also communication skills and a sense of classroom community.

Furthermore, the program acknowledges and accommodates diverse learning needs through differentiated instruction, ensuring that each student’s journey through mathematics is supported and enriched. Ultimately, the Bancroft math program aims to cultivate mathematical thinkers who can confidently apply their knowledge to navigate and appreciate the intricate beauty and practical utility of mathematics in the world around them.

At Bancroft, the Lower School follows the Bridges in Mathematics curriculum. Bridges in Mathematics is a full PK-5 curriculum featuring relevant, open-ended tasks and a coherent set of visual models to help students develop their conceptual understanding, procedural fluency, and problem-solving abilities. Bridges lessons are designed to allow educators to make productive adaptations to ensure each student can develop a positive math identity.

In a Bridges classroom, students gather evidence, explain their results, and develop respect for others’ opinions. Teachers encourage students to employ multiple strategies when solving problems. They foster student initiative by providing opportunities to work in pairs, discuss in small groups, or share with the whole class. As a result, students develop positive math identities while building problem-solving skills, conceptual understanding, and procedural fluency.

Components of the Bridges Math Program

• Problems & Investigations – Whole-group activities transition into individual and partner work, followed by a whole-class strategy-sharing session.
• Work Places – Engaging games and activities allow students to apply the concepts they explore in Problems & Investigations.
• Number Corner – A daily program develops reasoning with inquiry-based activities that engage students in pattern recognition, concept development, and conjecture.
• Concept Quests – Rich, open-ended tasks provide horizontal enrichment and additional opportunities for all students to problem solve.