We attend to the composition of even and odd functions, as featured in imagined dialogues between a teacher and students, composed by sixteen teachers in a professional development program. Data were analyzed as aimed at addressing students' intellectual needs, with particular attention to the need for causality and the need for certainty. The…

In this study, we assessed metacognition in nonnative language speech perception and production. Spanish novice learners of French identified and produced the French vowel contrast /ø/--/oe/ and, on each trial, rated their confidence in their responses. Participants' confidence in perception predicted their identification accuracy, suggesting that…

When Herbart in 1802 introduced the concept of "Pedagogical Tact" in his first lecture on pedagogy, he answered to a systematic problem that had also troubled his predecessor: It was within his theory of judgement that Immanuel Kant attempted to solve the problem of the relation of theory and practice, of theoretical and practical…

Jewish Schools spend a significant amount of time on the teaching of Halakha--Jewish Law, custom, and ritual. The practice is most prevalent in Orthodox schools, although in truth all Jewish schools spend some time on the instruction of this discipline. Schools differ widely as to the approach they take in the teaching of Halakha, and this…

Theater uses drama and conflict to stimulate audience's emotions taking advantage of the fact that emotions can trigger people to achieve a desired learning result. Creating a theatrical learning environment enables learners to actively participate in knowledge creation in an entertaining environment. In this paper, I will use a conference session…

This paper advocates for a shift from insular paternalism to developmental paternalism in education, contending that students' engagement with erroneous ideas is crucial for building the ability to resist harmful notions and support democracy. The proposed inoculative approach exposes students to problematic ideas, guiding them through the process…

Challenge-based Learning (CBL) is a pedagogical approach that actively involves students in a realistic, problematic and meaningful situation related to their environment, which requires defining a challenge and implementing a solution for it (OIETM, 2015). The CBL methodology was applied by instructors with the support of students, part of the…

This article describes pedagogical practices that support deeper learning within an academic program. An assignment is presented that simulates the post-graduate challenge of incorporating soft skills with discipline knowledge. The assignment tasks students with investigating a new problem or opportunity using information from a variety of…

This paper discusses the mathematical and didactical problems of teaching indefinite integral in the context of the ubiquitous availability of online integral calculators. The symbol of indefinite integral introduced by Leibniz, unfortunately, does not contain an indication of the interval on which the antiderivatives should be calculated. This…

In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both. In this paper, we show how each approach can be improved by incorporating an aspect of the other, based on a little known synthesis…

Transfer of structural math knowledge to physics is difficult for students. While research suggests various improvement techniques, enhancing parallelism of algebraic structures used in physics to those studied in mathematics courses seems underrepresented. This paper proposes an alternative way of introducing wave functions as a set of parametric…

Music, when approached as a part of a classical liberal arts education, is a profoundly humanizing endeavor which can facilitate individual musical and moral growth within communities of practice. A classical approach to music education contrasts with common progressive and critical curriculum frameworks through a philosophically realist analysis.…

In recent years, developing students' knowledge integration of specific topics through effective teaching methods has been a concern in science education. This study explored an alternative teaching method, which aims to help lower secondary school students develop their knowledge structure about buoyancy towards a logically integrated conceptual…

The interactions young children have with adults are of vital importance in developing mathematical reasoning. This paper describes the behaviours of teachers who work with young children in school yet manage to have individual and natural mathematical conversations with children. These mathematical interactions young children have with their…

Students often face difficulties to understand Archimedes' principle and to apply it in everyday life. It is therefore necessary to explore a different teaching approach that addresses students' visual and auditory senses in a unique manner. The aim of this study was to determine the effect of using multiple representations on undergraduate…