Discovery learning has long been a part of mathematics teaching in the elementary and middle grades. Since the 1960s and 1970s, based on the work of Jean Piaget, Jerome Bruner, and others, helping students 'discover' or 'construct' their own understandings of mathematical concepts through well-designed activities facilitated by a competent teacher…

In this article, we draw upon the Conceptual Profile Theory to discuss the negotiation of meanings related to the energy concept in an 11th grade physics classroom. This theory is based on the heterogeneity of verbal thinking, that is, on the idea that any individual or society does not represent concepts in a single way. According to this…

Both scientists and children make important structural discoveries, yet their computational underpinnings are not well understood. Structure discovery has previously been formalized as probabilistic inference about the right structural form--where form could be a tree, ring, chain, grid, etc. (Kemp & Tenenbaum, 2008). Although this approach…

An equal-armed balance at equilibrium--the bar is horizontal--tips into disequilibrium upon displacing a weight. Equilibrium is restored by reversing that move--putting the weight back where it was, or doing the same on the other side. Piaget adopted the idea of equilibration to describe how the intellect, in relating to the world, develops.…

Research shows that misconceptions are usually detrimental to text comprehension. However, whether misconceptions also impair metacomprehension accuracy, that is, the accuracy with which one self-assesses one's text comprehension, has received far less attention. We conducted a study in which we examined students' (N = 47) comprehension and…

This study focuses on students' understanding of multiple representations of functions. It examines student responses to a task in which calculus students are asked to evaluate the derivative at a point of the cubing function when represented piecewise. Results suggest that attending to the graph of the piecewise function does not improve…

This research used Novakian concept mapping and interview techniques to track changes in knowledge and understanding amongst students and their supervisors in the course of full-time research towards a laboratory science-based PhD. This detailed longitudinal case study analysis measures both cognitive change in the specific subjects that are the…

Designing programmed technological solutions (PTS) with programming materials has become a way to contextualise educational content related to PTS and programming. However, studies show that pupils have difficulties conceptualising central phenomena involved in the process, which affects their ability to design PTS. In order to understand these…

This study aims at investigating inclusive pedagogical content knowledge (IPCK) of mathematics teachers who teaches in inclusive classes including learning disabilities (LD) students or hearing impairments (HI) students in the context of angle concept. The study is a cross-case study which facilitates the comparison as one of the multiple case…

This study aimed to reveal mathematical modeling processes and difficulties encountered in model-eliciting activities (MEAs) of 8thgrade students in a STEM education setting. This qualitative research is a case study conducted at a public school located in the central districts of a large province in the Mediterranean Region. The participants of…

Researchers have recently queried whether musical activities that express mathematical concepts enhance young students' math skills. The use of abstract notations for math learning is also debated. The current study examined the effect of a music intervention program on pattern and symmetry knowledge. Simple graphical notation-writing was used for…

The study aims to analyze student responses to chemistry constructed response items to obtain detailed information on science NAEA (National Assessment of Educational Achievement) in South Korea and to draw suggestions for enhancing curriculum, teaching, and learning. For this purpose, we analyzed 7444 answers that could be generalized as 1.29% of…

This research explored the interrelationship among Taiwanese high school students' conceptions of learning science (COLS), self-regulated learning science (SRLS), and science learning self-efficacy (SLSE). A total of 309 students participated in the study, and the self-report survey data were collected to measure these three constructs. Four COLS…

The subject of buffer solutions in chemistry is a challenging concept for students to learn due to its abstract nature. The difficulties that students face in learning about buffer solutions can lead to poor performance and alternative conceptions about the topic. The development of successful conceptual understanding to solve buffer solution…

This study investigated the effect of visual anthropomorphic stories on students' understanding of the particulate nature of matter and their level of anthropomorphic discourse. This study employed a quasi-experimental research design with pretest and posttest control groups. Science activities supported by visual anthropomorphic stories were…