Engaging Mathematics: Insights from a Curriculum Innovator in NYC Schools

New York City’s educational landscape is seeing a significant shift in mathematics instruction, favoring open-ended problem-solving and collaborative engagement over rote memorization. This transition, championed by educators like Gabe Rosenberg, is central to the city’s mandate for the Illustrative Mathematics curriculum. However, some practitioners express concern regarding its practical implementation, particularly for students who may not yet have a solid grasp of fundamental skills.

Rosenberg, a seasoned educator at Bard High School Early College in Manhattan, played a role in developing the Illustrative Mathematics curriculum. This set of instructional materials has been adopted across various districts, including Philadelphia and Denver, amidst the backdrop of New York City’s push for comprehensive changes in math education.

In a conversation with Chalkbeat, Rosenberg shared his philosophy on curriculum design, highlighting a commitment to creating learning experiences that remain relevant beyond the classroom. “Memorizing a few things they will forget by next Fall is unimportant,” he emphasized. He advocates for cultivating a mindset in students where they see themselves as capable mathematicians.

The Importance of Accessible Mathematics Education

With his academic roots steeped in pure mathematics—Rosenberg holds a doctorate from Columbia and has taught at Yale—his pivot to math education stems from a desire to impact a broader audience. Since joining Bard in 2004, he has focused on ensuring that all students have the chance to engage with mathematical concepts actively.

Recently, Rosenberg received Math for America’s Muller Award for Professional Influence in Education, a recognition coupled with a financial grant aimed at supporting the development of Illustrative Mathematics. In an educational environment often criticized for its rigidity, Rosenberg’s approach seeks to dismantle these barriers, promoting exploratory learning and individual discovery.

Teaching Practices and Student Engagement

When asked about his favorite lesson from the curriculum, Rosenberg highlights a geometry lesson focused on congruence. This lesson invites students to engage with proofs, challenging initial claims about geometric concepts. “Students first prove or disprove claims about congruence before revising them into accurate statements,” he described. This types of exploration not only deepens their understanding but also mimics the authentic processes of mathematicians.

Despite the curriculum's strengths, criticisms persist regarding its assumption that students possess foundational knowledge. Notably, some argue that the open-ended approach might overwhelm those lacking basic skills. Rosenberg challenges this notion, asserting that the curriculum supports formative assessments, enabling teachers to adapt their instruction based on students’ needs. “The key is that all students should have the opportunity to engage with grade-level mathematics,” he stated. He believes that prior strategies may not have worked, prompting students to struggle. Instead of repeating past methods, he argues for providing appropriate support to foster engagement in new ways.

Addressing Learning Gaps and Student Struggles

When it comes to students who struggle with mathematical concepts, Rosenberg stresses the importance of identifying specific challenges to tailor interventions effectively. “If a student struggles with completing the square, I first need to determine where their confusion lies,” he explains. For instance, distinguishing between misunderstandings related to square roots versus halving requires examining their thought processes before devising a solution.

The Role of Technology in Math Education

As discussions around educational technology intensify, concerns remain about its appropriate role in classrooms. Reactive to ongoing debates, Rosenberg does not incorporate AI tools in his teaching, citing environmental and ethical considerations, as well as the essence of human engagement in the learning process. He advocates for using technology to enhance human interactions with mathematics—as seen with dynamic software that allows students to explore diverse examples, leading to the formulation and validation of their conjectures.

Identifying Knowledge Gaps in Current Student Populations

Rosenberg has observed a disturbing trend regarding high school students' grasp of fractions—an understanding that seems to weaken over time. Students often enter high school with a limited ability to handle basic operations involving fractions. While some manage these tasks through memorization, they often lack the deeper conceptual understanding required. “Students who understand the mechanics of operations involving fractions can similarly grasp algebraic operations,” he noted, suggesting that a solid grounding in basic arithmetic is essential for mathematical fluency.

Personal Experience Shaping Educational Philosophy

Rosenberg reflects on his own educational journey, recalling being pulled from standard classes for advanced mathematics opportunities. He aims to replicate similar experiences for his students, ensuring they encounter the excitement and breadth of mathematics in a supportive environment. His trajectory illustrates a commitment to democratizing access to high-quality math education, striving to inspire all learners, regardless of their starting point.

As educators weigh the merits of instructional frameworks like Illustrative Mathematics, Rosenberg's insights shed light on the critical balance between challenging students and accommodating diverse learning needs. His work exemplifies the ongoing dialogue in mathematics education about how best to equip students for future success, advocating for an approach that ignites curiosity and fosters resilience in mathematical thinking.