Growth Mindset
With effort, practice, and effective study skills, anyone can learn mathematics. Mistakes are opportunities to grow. Questions are opportunities to learn. Problems are challenges to be solved. Everyone can be a math person!
Mistakes are not all created equal
Resilience and Productive Struggle
Significant learning is difficult. When students are challenged to persisit in solving challenging problems, they learn at a deeper level. Working with others helps students persist through struggle. The types of praise given and questions asked by the instructor can encourage resilience and persistence.
The neuroscience behind productive struggle
Praise that makes learners more resilient
Habits of the Mind
Habits of the mind encourage deeper understanding of calculus concepts through recognizing patterns, making conjectures and testing conjectures, making connections, and communicating ideas precisely.
Our Responsibility – Our Opportunity: Mathematical Habits of Mind. (AMS Blog By Brigitte Lahme, Professor, Sonoma State University
Self-regulated Learning in Mathematics
Self-regulated learning is a cyclic process where students set goals for learning, plan to meet those goals, follow through on the plan, and then reflect on the effectiveness of the plan.
Self-regulated learning: the effect on student’s mathematics achievement.
Community
Belonging in the mathematics community and being valued as an individual helps students learn, contribute, and persist in STEM fields.