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…

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…

Ralph L. Baldwin (1872-1943) was a prominent music educator who, in addition to his role as a teacher, was an author, composer, and leader of various professional music organizations. Baldwin later became known through his many publications and as the administrator of the Sterrie Weaver Summer School after Weaver's untimely death. This narrative…

"The current school landscape sucks," writes educator and hip-hop artist Gabriel "Asheru" Benn. At least that would be the opinion of most teenagers when you ask them. The problem isn't that our schools aren't good or that our teachers aren't knowledgeable or even likeable. Rather, it's the "rote, transactional" ways…

A novel educational chart that represents the acid--base behavior of 100 s-, p-, d-, and f-element oxides depending on the element's electronegativity and oxidation state was designed. An updated periodic table of said oxides was developed. A mathematical criterion based on the chart was derived which allows prediction of the behavior of…

Teachers of English as a second or foreign language often state that they lack an understanding of how to teach vocabulary in a principled, evidence-based way sensitive to students' needs. Vocabulary teaching is typically unsystematic, not adequately supported by curricula and teaching materials, and shaped by beliefs based in opinion or myth. A…

Music and reading domains require similar auditory processing skills. Students employ these skills when learning a new song through an oral/aural or rote-teaching approach. In this article, I review literature on the effectiveness of immersion and phrase-by-phrase approaches for teaching a song with or without words. Then, using an amusing…

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…

This essay is grounded in the scholarship of teaching and learning and will focus specifically on the ways in which the Harry Potter books highlight the diversity of learning and teaching styles; privilege active experiential learning and problem solving over passive rote learning; and emphasize the benefits of collaboration over competition.…

Too often, in discussing the teaching of English, language teachers behave as if language were the most important factor in the classroom. The author thinks this is seldom the case. Language teachers need to see English as essentially an educative subject, linked to the cognitive development of learners, rather than as something isolated from the…

Despite the long-standing interest in educational technology reforms, many researchers have found that it is difficult to incorporate advanced information and communications technologies (ICT) in classrooms. Many ICT projects, particularly in the developing world, are limited by the lack of integration between pedagogy and technology. This article…

Young students generally don't make up their lessons as they go along. But many music educators are encouraging just that by teaching composition alongside traditional musical concepts. Rather than simply relying on rote exercises that focus on basic musical principles and techniques, teachers are asking students to create their own music early on…

In mathematics education, there has been tension between deep learning and repetitive learning. Western educators often emphasize the need for students to construct a conceptual understanding of mathematical symbols and rules before they practise the rules (Li, 2006). On the other hand, Chinese learners tend to be oriented towards rote learning…

A variety of excellent method books aim to help student musicians develop skills in music reading and instrumental technique, but sometimes the best approach is not simply to move ahead line by line through the book. Rather, teachers will find it beneficial to consider apposite strategies to be used before, during, and after rehearsing a line so…