This paper reports on students' errors in performing integration of rational functions, a topic of calculus in the pre-university mathematics classrooms. Generally the errors could be classified as those due to the students' weak algebraic concepts and their lack of understanding of the concept of integration. With the students' inability to link…

The purpose of this study was to rethink the conceptualization of pedagogical content knowledge based on our descriptive research findings and to show how this new conceptualization helps us to understand teachers as professionals. This study was a multiple case study grounded in a social constructivist framework. Data were collected from multiple…

The aim of the present research was to investigate the effect of the amount and quality of content knowledge on pedagogical content knowledge (PCK). The chemical content of phases of matters was used as an example. The research sample consisted of 28 science student teachers. The lesson preparation task, content knowledge test and semi-structured…

In this study, we determined the effectiveness of the inquiry-based Itakura method for mediating alternate conceptions of preservice elementary teachers (N = 38) in an integrated mathematics, science, and technology methods course. We investigated alternate conceptions in the expansion of solids due to heating. There was a significant increase in…

This study has examined the impact of teaching certain basic concepts of astronomy through a predict-observe-explain strategy, which includes three-dimensional (3D) computer modeling and observations on conceptual changes seen in sixth-grade elementary school children (aged 11-13; number of students: 131). A pre- and postastronomy instruction…

A number of educational researchers have developed pedagogical approaches that involve the teacher in discovering and helping to correct misconceptions that students bring to their study of their subject matter. During the last decade, several computer systems have been developed to support teaching and learning using this kind of approach. A…

The central place of the learning environment and the personal characteristics of the learner in influencing whether students adopt deep or surface approaches to learning is well evidenced in the literature (for example, Marton & Saljo, 1976; Biggs, 1987; Entwhistle, 2001; Ramsden, 2003). For this reason, tertiary educators are constantly…

In this essay, Jeff Duncan-Andrade explores the concept of hope, which was central to the Obama campaign, as essential for nurturing urban youth. He first identifies three forms of "false hope"--hokey hope, mythical hope, and hope deferred--pervasive in and peddled by many urban schools. Discussion of these false hopes then gives way to…

Understanding the particulate nature of matter (PNM) is vital for participating in many areas of science. We assessed 11 students' atomic/molecular-level explanations of real-world phenomena after their participation in a modelling-based PNM unit. All 11 students offered a scientifically acceptable model regarding atomic/molecular behaviour in…

An audience response systems (ARS) allows students to respond to multiple choice questions using remote control devices. Once the feedback is collected and displayed, the teacher and students discuss misconceptions and difficulties experienced. ARSs have been extremely popular and effective in higher education science classrooms, although almost…

As often happens, a lot of physics can come out of a toy. What we found interesting is the observation of the magnetic field produced by different configurations built with GEOMAG[TM]. This toy provides small magnetic bars and steel spheres to play with. Amusing 3-D structures can be built; nevertheless, this possibility is not so obvious. Indeed,…

We describe what may well be the first course devoted explicitly to the topic of Mind, Brain, and Education (MBE). In the course, students examine four central topics (literacy, numeracy, emotion/motivation, and conceptual change) through the perspectives of psychology, neuroscience, genetics, and education. We describe the pedagogical tools we…

Previous research has demonstrated that judicial instructions on the law are not well understood by jurors tasked with applying the law to the facts of a case. The past research has also shown that jurors are often confused by the instructions used in the sentencing phase of a capital trial. The current research tested the effectiveness of a…

"Education Matters" is the monthly newsletter of the Association of American Educators (AAE), an organization dedicated to advancing the American teaching profession through personal growth, professional development, teacher advocacy and protection. This issue of the newsletter includes: (1) You Speak Out: 2010 AAE Member Survey; (2) Five Ways to…

This article examines the transition process of 14 international teaching assistants (TAs), who teach mathematics courses in U.S. college contexts. In particular, this study documents several major aspects of changes in their teaching, including their curriculum choice and instructional practices over time. This study reveals how the institutional…