By selecting certain special triangles, students can learn about the laws of sines and cosines without wrestling with long decimal representations or irrational numbers. Since the law of cosines requires only one of the three angles of a triangle, there are many examples of triangles with integral sides and a cosine that can be represented exactly…

Most college instructors probably are not about to start giving the daily quizzes that some researchers recommend to improve learning, so students might want to try testing themselves when they study on their own. But there's a catch: When people study with flashcards, by far the most common method of self-quizzing, they're notoriously bad at…

This study describes children's awareness of what it means to teach a game to a peer where the act of teaching becomes expression of the child's possible awareness. Awareness is defined as the attention to different aspects of the teaching process shown by the teaching child, sometimes through their own verbal reflection. This implies an…

Bringing together all four books in the AS CD ground-breaking Habits of Mind series, this volume presents a compelling case for why it's more relevant than ever to align the missions of schools and classrooms to teaching students how to think and behave intelligently when they encounter problems and challenges in learning and in life. Drawing on…

This study investigates how peer assessment can help students to learn about photosynthesis in a "high attaining," year nine class in a UK 11-18 comprehensive school. There is limited research on how peer assessment can influence the learning of "high attaining students"; most existing research focuses on how formative…

The open-ended, informal, and socially negotiated nature of role-playing games creates a distinct learning challenge for newcomers to the hobby. The explicit rules of the game provide only an incomplete framework for structuring the actions of players, and the expectations and mores of a given group will add other, unspoken rules that discourage…

This article reports on an empirical study that tests a fourth-order factor model of strategic competence through the use of structural equation modeling (SEM). The study examines the hierarchical relationship of strategic competence to (a) strategic knowledge of cognitive and metacognitive strategy use in general (i.e., trait) and (b) strategic…

There is reliable evidence that new vocabulary is primarily acquired through wide independent reading. However, struggling readers tend to avoid reading, resulting in limited word encounters and inadequate vocabulary growth, and they often have difficulties inferring the meanings of new words from context. While there are no clear solutions to the…

Existing research identifies that students' approaches to assignments are related to their general approaches to study. It is suggested that students need to better understand the requirements of assignments and acquire new concepts such as "argument". This fine-grained study proposes four qualitatively distinct assignment pathways: gathering,…

Self-directed learning (SDL), is an essential concept in problem-based learning (PBL), and, in a broader sense, student-centred learning. Considering the complex nature of SDL, it has been taken for granted and given a shallow meaning, i.e. self-study. In order to develop a deeper understanding and make use of the potential in SDL, this paper…

By balancing the spacing effect against the effects of recency and frequency, this paper explains how practice may be scheduled to maximize learning and retention. In an experiment, an optimized condition using an algorithm determined with this method was compared with other conditions. The optimized condition showed significant benefits with…

Purpose: This paper aims to explore how teaching and assessing reflective learning skills can support postgraduate practitioners studying organisational change and explores the challenges for tutors in assessing these journals. Design/methodology/approach: Assessment criteria were developed from the literature on reflective practice and…

Professional learning communities (PLCs) have been held up as powerful structures for teachers' continuing professional development. In this work, the author has applied transformative learning theory to highlight the psychic risks of collaborative teacher learning, as well as the need for practical efforts to improve student learning--the means…

Purpose--The paper aims to provide a theoretically-based set of skills and practices that develop organizational members and leaders while building organizational capacity. Design/methodology/approach--The paper advances four arguments about learning and leading, drawing on classical and contemporary scholarship of organizational learning theory…

This research project explores the language practices that emerged as a teacher taught a lesson designed to promote science literacy development for traditionally underrepresented students. This ethnographic study of a Detroit, Michigan, school examined the teacher's use of science language and its influence on students' use of science language.…