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Good Teaching Practices

Active Learning

One of the most effective ideas in post-secondary math pedagogy is the integration of active learning strategies into the curriculum. Active learning involves students engaging directly with the material through problem-solving, group work, and hands-on activities, rather than passively listening to lectures. This approach fosters a deeper understanding of mathematical concepts by encouraging students to apply theories in practical scenarios, collaborate with peers to explore different problem-solving methods, and receive immediate feedback. The Math Department’s lab and support classes are designed to provide active learning instruction in our introductory classes.

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Resources

Interdisciplinary Teaching

Connecting mathematical concepts with other disciplines, such as physics, engineering, economics, and computer science, can provide context and demonstrate the relevance of mathematics in various fields. This can increase student engagement and motivation by showing the practical applications of what they are learning. The Math Department’s Minor in Data Science is a good example.

Technology Integration

Utilizing technological tools such as online simulations, mathematical software, and interactive platforms can make abstract concepts more tangible and accessible. These tools can also offer personalized learning experiences and instant feedback, which can help students to better understand and master the material. The Math Department’s Math 382/L class scaffolds this kind of learning into the major as do the classes in our Data Science Minor.

Project-Based Learning

This approach involves students working on complex, real-world problems over an extended period. It promotes the application of mathematical concepts to practical situations, enhancing students' understanding and retention. It also develops skills such as research, collaboration, and communication. Project-based learning is a critical part of Math 131 (Ideas in Math) and is a growing element of Math 103 (Business Math).

Formative Assessment and Feedback

Regular, low-stakes assessments and timely feedback can help students identify their strengths and weaknesses, allowing them to focus their efforts on areas needing improvement. This approach also helps instructors to adjust their teaching strategies to better meet the needs of their students. Many Math classes are experimenting with this practice.

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Cultural Relevance and Inclusivity

Incorporating culturally relevant examples and ensuring an inclusive classroom environment can make mathematics more relatable and accessible to a diverse student body. This approach can help to address disparities in math education and support the success of all students. This is a critical part of many of our introductory classes, particularly for non-STEM majors and is embedded in our Dual Enrollment class: Math 196DE. Reach out to Otilia Gonzales for more information!

Growth Mindset Encouragement

Promoting a growth mindset, where students understand that their abilities can be developed through effort and persistence, can improve their resilience and willingness to tackle challenging problems. Encouraging a positive attitude towards learning and failure can help students to become more confident and motivated learners. Math 103 implements growth mindset in its test wrappers and other resources provided to instructors. Reach out to Otilia Gonzales for more information!

Flipped Classroom Model

This model reverses the traditional teaching approach by having students review lecture material at home and engage in interactive activities in class. This allows for more in-depth exploration of topics during class time and provides opportunities for personalized instruction and collaborative learning. Math 255A has experimented with flipped classroom. Reach out to Alexander Alekseenko for more information!

Department Chair