Let E/Q be a real quadratic field and π0 a cuspidal, irreducible, automorphic representation of GL(2, AE) with trivial central character and infinity type (2, 2n + 2) for some non-negative integer n. We show that there exists a non-zero Siegel paramodular newform F : H2 → C with weight, level, Hecke eigenvalues, epsilon factor and L-function determined explicitly by π0. We tabulate these invariants in terms of those of π0 for every prime p of Q.
The assumptions educators possess about themselves, their role as teachers, and their students' capabilities play a significant role in determining expectations, teaching practices, and ultimately student happiness and success. This article provides an overview of the application of resilience principles in the classroom from the perspective of the mindset of effective educators. In their efforts to nurture resilience in their students, effective educators appreciate the life-long impact they have on students, acknowledge that all students want to be successful, and appreciate that the foundation for successful learning in a safe and secure classroom climate is the relationship they forge with students. Ideas and strategies are offered to assist teachers in developing a mindset capable of fostering resilience in students.
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