Earlier approaches to sense-making in mathematics have looked at the ways students comprehend a mathematical concept. Recent research suggests that some students make sense not only of mathematical objects that have a being, but also of objects that have yet to become. In such cases, learning mathematics is not just an act of comprehending a given…

Based on historical sources and publication records in the early 20th century, we suggest that Vygotsky's recognition of the 'paradox' in human learning and his conceptualisation of advanced thinking were largely influenced by Stanislavski's work in theatre. In this paper, we offer some evidence for this argument on Vygotsky's nascent system of…

The present study aims to inspect the interplay between language (Turkish) comprehension/learning (LCL) and mathematics comprehension/learning (MCL). We utilized a mixed-methods exploratory research design to understand the mechanism between LCL and MCL. First, we used an analytic rubric to score a researcher-developed achievement battery…

The aim of this study is to explore the possibility of introducing the general notions of function and inverse function through a mathematical activity on linear functions, focusing on the quantitative meaning associated to the connection between a relation and its inverse. We present a genetic decomposition, that is, a viable cognitive path for…

Learning progressions have become increasingly prevalent in mathematics education as they offer a fine-grain map of possible learning pathways a child may take within a particular domain. However, there is an opportunity to build upon this research in ways that consider learning from multiple perspectives. Many current forms of learning…

The metaphors used by teachers to explain the nature of student learning and student difficulty can reveal a great deal about how teachers conceive the teaching and learning process. This is an important area of research as it can shed light on how they see their role in the learning process and how they should intervene to assist students in…

Coordination class theory has proven to be a useful theoretical framework for describing processes of conceptual change in certain physical and mathematical concepts. Its development throughout different studies has allowed us to understand numerous mechanisms of conceptual learning by individual subjects. There have been attempts to implement…

A central goal of science education reform is for students to participate in scientific sense making rather than to merely acquire science facts. However, even in classrooms utilizing reform-based pedagogies, students are typically allowed to construct knowledge only insofar as they construct expected knowledge. In this report and reflection, we…

The interest-driven creator (IDC) theory is being developed as a group endeavor by Asian researchers to articulate a holistic learning design theory for future education in Asia. The theory hypothesizes that students, driven by "interest", can be engaged in the "creation" of knowledge (generating ideas and artifacts). By…

Students come to science class with many ideas of how the natural world works, some of which do not match the consensus of the scientific community and can lead to misunderstandings. Because a growing body of educational research indicates that these misconceptions can serve as resources for learning, we developed a four-point plan to leverage…

Spatial thinking has roles to facilitate learners to remember, understand, reason, and communicate objects and the connections among objects that are represented in space. This research aims to analyze the spatial thinking process of students in constructing new knowledge seen from the field-independent cognitive style learners based on…

Statistical terms are used in everyday language and, at times, used in non-statistical ways. It is often assumed students understand statistical terms because of their common use; however, research into their understanding of specific statistical terms is scant. This report focuses on 58 Year 3 students' responses to the basic question, "What…

This book presents a wide range of international perspectives that explore the different ways the diverse forms of drama supports learning in science. It illustrates how learning science by adopting and adapting theatrical techniques can offer more inclusive ways for students to relate to scientific ideas and concepts. The theatrical processes by…

This case study explores the cognitive and emotional development of a university student using the schema of a complete orienting basis of action (SCOBA) in her learning of Italian as a foreign language. The article follows Marie, a 19-year-old undergraduate student, as she used a SCOBA that illustrated the concept of Genre and Register in…

This paper investigates what instructional factors influence conceptual understanding (CU) of signals and systems for senior undergraduate engineering students. Previous results show students in signals and systems courses typically gain little CU, though evidence-based instructional practices, such as active learning, can increase gains in CU.…