The purpose of this study was to gain insight into 30, first year calculus students' understanding of the relationship between the concept of vertex of a quadratic function and the concept of the derivative. APOS (action-process-object-schema) theory was applied as a guiding framework of analysis on student written work, think-aloud and follow up…

In this article, attempts were made to examine students' thinking about the concepts of infinity and their ideas about transiting from finite to infinite states through the concept of limits of sequences. The participants included 78 senior high-school students ranging in age between 17 and 19 years old. The data were collected through a…

When establishing connections among representations of associated mathematical concepts, students encounter different difficulties and successes along the way. The purpose of this study was to uncover information about and gain greater insight into how student processes connections. Pre-calculus students were observed and interviewed while…

Instructional strategies that support meaningful student learning of complex chemical topics are an important aspect of improving chemistry education. Adequately assessing the success of these approaches can be supported with the use of aligned instruments with established psychometrics. Here, we report the implementation and assessment of one…

We describe a study on the conceptual difficulties faced by college students in understanding hydrodynamics of ideal fluids. This study was based on responses obtained in hundreds of written exams complemented with several oral interviews, which were held with first-year engineering and science university students. Their responses allowed us to…

This research explored young children's early thoughts about natural phenomena and investigated sources of influence toward their knowledge construction. Two Piagetian interviews were conducted with four children. Each child was questioned about two phenomena in particular: (a) the moon and its changing appearance (moon phases) and (b) the…

Purpose: The rationale behind this study was to investigate how three Grade 5 Natural Sciences teachers in three Western Cape primary schools teach science concepts so as to enable the researcher to gain a deeper understanding and more insightful perception of the ways in which the pedagogical practices of South African primary school teachers…

The aim of this article is to contribute to the understanding and use of the theory of communities of practice. In order to clarify terms, explore applications for education and reflect on various critiques of the theory in the literature, two educational researchers conducted a series of interviews with the theorist Etienne Wenger-Trayner. The…

General chemistry is the first undergraduate course in which students further develop their understanding of fundamental chemical concepts. Many of these fundamental topics highlight the numerous conceptual interconnections present in chemistry. However, many students possess incoherent knowledge structures regarding these topics. Therefore,…

Based on a study with six elementary school teachers and 115 students in grades 3, 4, and 5, this article discusses ways that teachers might support an understanding of variable as students explore pattern-finding activities. The practices emerged from interviews with teachers and a yearlong observation of teaching algebraic thinking during an…

The purpose of this exploratory study was to investigate the cognitive processes used by individuals who read a refutational text about physics and demonstrated conceptual change learning. Four high school readers whose initial conceptions differed from the scientific conception of Newton's first law thought aloud while reading a refutational…

This paper reports on a study to determine whether blind students' conceptualizations of force and motion differ from sighted students. This is particularly concerned with the question of whether the students' visual experiences have any relation to their conceptualizations or misconceptualization about force and motion. The research was designed…

In this study, I examine how using a writers' workshop model in mathematics creates a space for students to write about their mathematical thinking and problem solving and how their writing impacts instruction. This case study of one classroom with one teacher spanned 6 weeks and included 18 implementations of an adapted version of the Writers'…

Using a constructivist framework, eight senior chemistry majors were interviewed twice to determine: (i) structural inferences they are able to make from chemical and physical properties; and (ii) their ability to apply their inferences and understandings of these chemical and physical properties to solve tasks on the reactivity of organic…

"Research has consistently found that pedagogy informed by knowledge of students' existing ideas is more efficient in promoting conceptual change than traditional methods of instruction". Learners in the sub-field of environmental geography exhibit preconceptions that frame and sometimes hinder their knowledge acquisition. Those…