The aim of this paper is to present a teaching proposal for the theoretical part relating to the first- and second-order linear difference equations with constant coefficients suitable for the first-year students at various types of universities. In contradistinction to the methods often applied (memorization of algorithms without a proper…

Arithmetic was the first mathematical subject to enter the school curriculum in the United States in a formalized manner. Until the first quarter of the nineteenth century, the prevailing pedagogy of this subject revolved around the tenets of mental discipline theory and the rules method of teaching, which valued memorization and repetitive drill…

This research-to-resource article proposes and supports the application of sound-to-symbol approaches within the 5E instructional model to teach musical concepts experientially in beginning band settings. Drawing upon insights from music education scholars and pedagogues advocating for a shift toward sound-first approaches, the article explores…

The mathematics classroom is particularly vulnerable to these judgments of perfectionism, with endless evidence of students and teachers believing that mathematics is based on an ultimate truth or a single, objective, unique answer. School mathematics still favors students' participation in rote procedures, memorization, and using only a few…

Classroom instruction in China and in the United States have sharp differences. Typically, constructivist learning theory shapes American classroom instruction whereas Confucian educational culture shapes Chinese classroom instruction. Furthermore, typically, Chinese classrooms adopt a direct instructional approach whereas American classrooms…