A key component of academic development is the improvement of teaching with the express purpose of improving student learning. To achieve that end, we work toward helping faculty members develop increasingly sophisticated and complex conceptions of teaching so that they might more readily think about teaching in new ways. Models of learning and…

In a geometry content course for pre-service elementary teachers, technology was utilized to assist students in making sense of shapes. They learned to write simple procedures in Logo that would program a turtle to draw various quadrilaterals. In the context of writing these procedures, the pre-service teachers used variables to represent the…

This article discusses students' perceptions as a source for understanding education. It addresses what didactically experienced children, called "didactikids", taught us about the empty number line as a didactical model for teaching whole number calculations. The article mainly reports on a student consultancy study carried out in the…

This longitudinal study investigated the progression in junior high school (JHS) students' conceptions of the structure of matter while studying a new instructional approach dealing with "Materials." In particular, we studied the progression of students' learning along two dimensions: (a) the conceptual model; and (b) the context of application.…

Visual representations play an important role in science teaching. The way in which visual representations may help children to acquire scientific concepts is a crucial test in the debate between constructivist and socio-cultural oriented researchers. In this paper, the question is addressed as a problem of how to contextualize conceptions and…

How do children conceptualise their own development? From their point of view, what serve as constraints for their movements in time and space? The theoretical framework of the experiment described here was a cultural historical first person developmental perspective. The concept of transition is here put in use to capture the children's…

Recent research has shown interest in studying the relationship between epistemological beliefs and numerous aspects of learning. A new question interests us: Is this kind of relationship homogeneous across cultures? This study focuses on the relationship between epistemological beliefs, learning conceptions, and approaches to study. A sample of…

Calculus is one of those topics in mathematics where the algorithmic manipulation of symbols is easier than understanding the underlying concepts. Around 1680 Leibniz invented a symbol system for calculus that codifies and simplifies the essential elements of reasoning. The calculus of Leibniz brings within the reach of an ordinary student…

We identify three aspects of scientific thinking beyond the control-of-variables strategy that we claim are essential for students to master as a foundation for skilled scientific thinking. The first is strategic and involves the ability to coordinate effects of multiple causal influences on an outcome. The second is a mature understanding of the…

Two studies examined the free recall for course content of 314 American undergraduate students across various course levels. The purpose was to examine how students' memories and level of understanding for introductory materials would differ from those of more advanced classes. Across all class levels, the most frequently listed items were…

This theoretical paper proposes a way to extend the partitive and measurement interpretations of whole number division to fractional contexts focusing on the issue of units. We define the unit-changing and unit-keeping interpretations for division and suggest a stronger and earlier focus on the concept of units in courses for prospective…

Worldwide immigration and quests for rights by minority groups have caused social scientists and educators to raise serious questions about liberal assimilationist conceptions of citizenship that historically have dominated citizenship education in nation-states. The author of this article challenges liberal assimilationist conceptions of…

This study examined the effects of visual analogies on learner outcomes in "Phonology for ESL Teachers," a challenging course within a master's degree program at a prominent university in the southeastern United States. To reduce student anxiety, facilitate Saturday classes, and bridge from the known to the unknown, concrete images…

The author was asked to develop a list of actions that teachers could take to build students' mathematics abilities. Too many students fail to graduate and fail to pass state assessments as a result of weak mathematics skills. Even many students who do graduate leave high school lacking sufficient understanding of mathematics to pass college…

This study explored the effectiveness of an inquiry-based cellulase laboratory unit in promoting inquiry in undergraduate students in biotechnology. The following tools were used to assess the students' achievements and attitude: conceptual understanding test, concept mapping, students' documents, CLES questionnaire, students' self reflection, and…