Positioning Students as Learners and Doers of Mathematics

  • Positioning Students as Learners and Doers of Mathematics
    November 2024

    One of the key recommendations from Catalyzing Change reminds us that “Mathematics instruction should be consistent with research-informed and equitable teaching practices that nurture children’s positive mathematical identities and strong sense of agency.”  Fostering students’ identities and agency in mathematics allows students to use their lived experiences to build on prior knowledge and make connections as they actively engage in mathematics. Students learn to collaborate with their peers as they communicate and explain their mathematical thinking and learn to take ownership of the learning process. Students no longer see mathematics as just a set of rules and procedures provided by the teacher but they begin to put themselves in the driver’s seat and start to understand the relevance of mathematics concepts to real-world applications and everyday life. Empowering students to take charge of their learning fosters resilience, motivates them to explore mathematical concepts with curiosity and confidence, and fosters a classroom culture where everyone’s ideas are valued. 

    While it is important to plan and invest the time at the beginning of the school year or semester engaging in tasks that allow us to get to know our students as mathematics learners, it’s equally important to select activities that extend beyond the beginning of the year's getting-to-know-you activities. To create and sustain a positive classroom culture that positions students as learners and doers of mathematics, we must intentionally plan for and implement structures that allow us to promote positive student identities and a strong sense of agency. 

    In my experience, I’ve found that establishing a positive classroom community that nurtures students’ positive mathematical identities is an ongoing process. As educators, we can implement consistent and intentional practices to support positive mathematical identities and agency. Establish math goals to focus learning, one of the eight Mathematics Teaching Practices from NCTM’s Principles to Actions: Ensuring Mathematics Succes for All, states that “effective teaching of mathematics establishes clear goals for the mathematics that students are learning and uses the goals to guide instructional decisions.”  Here are four intentional practices educators can implement to establish math goals and focus learning to nurture positive mathematical identities and a strong sense of agency:

    1. Establish norms for classroom discourse that provide varied (e.g., written or verbal) opportunities for all students to actively participate and share their thinking with peers. For example, students should be encouraged to share their reasoning and thinking and engage in discussions with peers in partner and group settings. Center students as the discussion leaders to foster a positive mathematical identity.
    2. Plan lessons and activities that build on students’ cultural backgrounds, interests, and community-based knowledge to validate students’ funds of knowledge.
    3. Plan to incorporate questions that assess and advance students’ reasoning and sense making of mathematical ideas and relationships to allow students to enact agency as a thinker and doers of mathematics.
    4. Use tasks that “rouse” student interest and allow students to make real-life applications.  Select tasks that encourage multiple approaches and multiple entry points to support positive dispositions about mathematics.  And include culturally relevant tasks whenever possible.

    If we as mathematics educators nurture positive mathematical identities and a strong sense of agency, we can establish inclusive, student-centered classroom communities where all students see themselves as learners and doers of mathematics. 

    Latrenda Knighten
    NCTM President
    @LatrendaK