How do we define mathematical success? Is it centered on rote practice and memorization or problem-solving and connecting ideas? As educators, we should highlight all students’ contributions, connect ideas, and model how to ask probing questions. We can also promote mathematical success by encouraging creative thinking, restating students’ ideas, and linking new concepts to prior knowledge (Boaler 2016). Learners demonstrate their mathematical capabilities in multiple ways: procedurally, conceptually, through productive disposition, strategic competence, and adaptive reasoning (Aguirre et al. 2024). Hill and Hunter’s (2023) findings extend this broader view of success by showing that students’ understandings of mathematics are shaped by culture, gender, family, and community values. For example, Pacific Island students in their study placed greater importance on accuracy, communication, family, and recall, while female students emphasized family, practice, respect, risk-taking, and utility. The authors argue that creating equitable mathematics classrooms requires supporting student well-being. It is important to recognize diverse student values and transform pedagogy to align with them.
A growth mindset is the belief that individuals can develop their intelligence and abilities over time through effort, strategies, and support (Yeager and Dweck 2020). Students with growth mindsets tend to have better math grades and test scores than students with fixed mindsets. Mathematics lessons should include opportunities for students to productively struggle (Baker et al. 2020) as they explore, notice, question, solve, justify, explain, represent, and analyze in ways that strengthen their mathematical identities. Students continuously shape and negotiate their math identities over time. A variety of strategies can promote positive math identity and growth mindset, such as praising effort, providing open-ended tasks, valuing process over performance, and encouraging perseverance.
5. Prioritize Mathematical Discourse and Collaboration – Student Voice
Learners deepen their mathematical understanding when they feel agency to volunteer their own representations, descriptions, or claims and are able to justify their reasoning for opposing conjectures (Restani 2021). Math discourse gives students space to justify their approaches, listen to others’ perspectives, and refine their reasoning through peer feedback (Chapin et al., 2013; National Council of Teachers of Mathematics 2014; Woods 2022). Teachers play a critical role by modeling productive math talk and intentionally creating spaces for students to discuss mathematics and share their solutions (Michaels et al., 2008; Zwiers et al., 2014). Productive math talk involves asking open-ended questions, encouraging students to explain their reasoning, and prompting them to respond to each other’s ideas. For example, a teacher might pose a problem such as, “How could we solve this equation in more than one way?” and then invite several students to share their strategies. While students explain, the teacher can model language like, “Can you tell me why you chose that method?” or “Do you agree or disagree with this approach? Why?” This not only reinforces mathematical concepts but also helps students practice listening, articulating their thinking, and critically evaluating different methods. Over time, structured math talk fosters a classroom culture in which all students feel confident contributing, asking questions, and learning from each other. Centering student voice in mathematics classrooms promotes a positive math identity and fosters a sense of belonging, as students feel heard, valued, and confident in contributing to discussions (Boaler 2016; Gutiérrez 2018; Roos 2023; Russell and Schifter 2024).
As teachers, we can actively cultivate positive math identities by reflecting on our own experiences, setting intentional goals, and rethinking both how we teach mathematics and how we define success. By embracing struggle, amplifying student voices, and challenging our own assumptions, we create learning environments where every student feels capable, valued, and empowered. The result – we can say with confidence: “I am a math person.”
For more information, visit the resources section at: Building Students’ Academic Language In Mathematics Through Integrated English Language Development
Aguirre, Julia, Karen Mayfield-Ingram, and Danny Bernard Martin. Impact of Identity in K-12 Mathematics: Rethinking Equity-Based Practices. National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191, 2024.
Allen, K., and K. Schnell. “Developing Mathematics Identity.” Mathematics Teaching in the Middle School 21, no. 7 (2016): 398–405.
Baker, K., N. A. Jessup, V. R. Jacobs, S. B. Empson, and J. Case. “Productive Struggle in Action.” Mathematics Teacher: Learning and Teaching PK–12 113, no. 5 (2020): 361–367.
Boaler, Jo. 2016. Mathematical Mindsets: Unleashing Students’ Potential through Creative Math, Inspiring Messages and Innovative Teaching. San Francisco: Jossey-Bass.
Chapin, Suzanne H., Catherine O’Connor, and Nancy Canavan Anderson. 2013. Classroom Discussions in Math: A Teacher’s Guide for Using Talk Moves to Support the Common Core. 2nd ed. Sausalito, CA: Math Solutions.
Cicres, J., and R. Giménez. “Diversity in Children’s Literature: From Representation to Empowerment.” St. Paul’s Librarian 39 (2025): 14–27.
Gonzalez, L., S. Chapman, and J. Battle. “Mathematics Identity and Achievement among Black Students.” School Science and Mathematics 120, no. 8 (2020): 456–466. https://doi.org/10.1111/ssm.12416
Gutiérrez, Rochelle. 2018. Rehumanizing Mathematics for Black, Indigenous, and Latinx Students. Reston, VA: National Council of Teachers of Mathematics.
Hill, J. L., and J. Hunter. “Examining the Mathematics Education Values of Diverse Groups of Students.” International Journal of Mathematical Education in Science and Technology 54, no. 8 (2023): 1614–1633. https://doi.org/10.1080/0020739X.2023.2184280.
Iwai, Y. (2024). Preservice teachers’ reflections on teacher self-identities through a multicultural children’s literature project. Multicultural Learning and Teaching, 19(2), 269–292. https://doi.org/10.1515/mlt-2022-0021
Jiménez-Silva, Margarita et al. “Leveraging Children’s Multicultural Literature to Support Students’ Math Identity and Problem Solving.” Teaching for Excellence and Equity in Mathematics 16, no. 1 (2025)
Michaels, Sarah, Catherine O’Connor, and Lauren B. Resnick. 2008. “Deliberative Discourse Idealized and Realized.” Studies in Philosophy and Education 27 (4): 283–97.
National Council of Teachers of Mathematics. 2014. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA: NCTM.
Restani, Rachel. "Practitioner Research: Reflecting on Minoritised Student Agency in a Reform-Based Secondary Mathematics Classroom." Mathematics Teacher Education and Development 23, no. 1 (2021): 32-53.
Robinson, E. “Count Me In: Exploring Equity, Diversity, and Inclusion through Mathematics and Children’s Literature.” The Reading Teacher 76, no. 3 (2022): 309–319. https://doi.org/10.1002/trtr.2233.
Russell, Susan Jo, and Deborah Schifter. 2024. Interweaving Equitable Participation and Deep Mathematics: Building Community in the Elementary Classroom. Thousand Oaks, CA: Corwin.
Scorer, M. A., and E. J. Vardy. “Children Need to See Themselves in Their Reading Material: Parental Perspectives on the Importance of Ethnically and Culturally Diverse Reading Material.” Literacy 59, no. 2 (2025): 207–218.
Shabab, C. Rashaad. 2023. “Understanding Mathematics Anxiety: Loss Aversion and Student Engagement.” Teaching Mathematics and Its Applications: An International Journal of the IMA 43, no. 2 (October 26, 2023): 107–124. https://doi.org/10.1093/teamat/hrad008
Uddin, M. S. “Exploring the Effect of Student-Teaching on Elementary Student-Teachers’ Math Anxiety.” International Electronic Journal of Mathematics Education 17, no. 4 (2022): em0708. https://doi.org/10.29333/iejme/12316.
Woods, Dawn M. "Building a math-talk learning community through number talks." The Journal of Mathematical Behavior 67 (2022): 100995.
Yeager, David S., and Carol S. Dweck. “What Can Be Learned from Growth Mindset Controversies?” American Psychologist 75, no. 9 (2020): 1269–1284.
Zwiers, Jeff, Susan O’Hara, and Robert Pritchard. Common Core Standards in Diverse Classrooms: Essential Practices for Developing Academic Language and Disciplinary Literacy. Portland, ME: Stenhouse Publishers, 2014.
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Dr. Abdelrahim is a consultant with the University of California, Davis, School of Education. She has developed and facilitated professional development and materials related to second language learning and has experience coaching teachers both nationally and internationally, focusing on teacher self-reflection and growth. More recently, she has been focusing on promoting culturally sustaining, rigorous, problem-based mathematics. |
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Dr. Jiménez-Silva is a Professor in the School of Education at the University of California, Davis. Her research focuses on supporting preservice and inservice teachers in serving multilingual students with an emphasis on STEM. |
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Dr. Restani is a Research Fellow at the University of California, Davis. Her research promotes culturally sustaining, rigorous, problem-based mathematics instruction that leverage and elevate students’ strengths, especially those that have been historically marginalized from STEM fields. She has worked with teachers in K-12 classrooms both nationally and internationally. |
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Dr. Tony Albano is an Associate Professor in the School of Education at the University of California, Davis. His research is mainly in educational and psychological measurement, focusing on accessible and engaging test design and psychometric methods for evaluating scale equating and item bias. |
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Robin Martin serves as Director of Educational Research and Evaluation at the University of California, Davis. She provides interdisciplinary support and expertise in research design and quantitative and qualitative methods and statistical techniques, with an interest in applied research that supports researchers and educators with examining problems of practice in context. |