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Direct linkJohnson, Heather Lynn; McClintock, Evan – Educational Studies in Mathematics, 2018
In this design experiment study, we investigated the problem: What conditions might foster students' discernment of a critical aspect--variation in unidirectional change (e.g., discerning a "decreasing" increase)? At a public middle school in a large US city, we led a sequence of three days of whole class lessons, followed by task-based,…
Descriptors: Statistical Analysis, Middle School Students, Grade 7, Interviews
Sandoval, Ivonne; Possani, Edgar – Educational Studies in Mathematics, 2016
The purpose of this paper is to present an analysis of the difficulties faced by students when working with different representations of vectors, planes and their intersections in R[superscript 3]. Duval's theoretical framework on semiotic representations is used to design a set of evaluating activities, and later to analyze student work. The…
Descriptors: Models, Semiotics, Undergraduate Students, Higher Education
Robotti, Elisabetta – Educational Studies in Mathematics, 2012
In the field of human cognition, language plays a special role that is connected directly to thinking and mental development (e.g., Vygotsky, "1938"). Thanks to "verbal thought", language allows humans to go beyond the limits of immediately perceived information, to form concepts and solve complex problems (Luria, "1975"). So, it appears language…
Descriptors: Cognitive Processes, Plane Geometry, Researchers, Natural Language Processing
Miyakawa, Takeshi; Winslow, Carl – Educational Studies in Mathematics, 2009
In this paper, we analyze and compare two didactical designs for introducing primary school pupils to proportional reasoning in the context of plane polygons. One of them is well-documented in the literature; the other one is based on our own data and is accordingly presented and discussed in more detail in this paper. The two designs come from…
Descriptors: Foreign Countries, Mathematics Instruction, Research and Development, Theory Practice Relationship
