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Semiotic mediation in the mathematics classroom: Artifacts and signs after a Vygotskian perspective
The Visual Syntax of Algebra.
- David H. Kirshner
- 1 May 1989
A structured system of visual features can be seen to parallel the propositional hierarchy of operations usually associated with the parsing of algebraic expressions. Some students (proportionately… Expand
Situated cognition : social, semiotic, and psychological perspectives
Contents: Preface. Acknowledgements. D. Kirshner, J.A. Whitson, Editors' Introduction. J. Lave, The Culture of Acquisition and the Practice of Understanding. J. Lemke, Cognition, Context, and… Expand
Visual Salience of Algebraic Transformations
Information processing researchers have assumed that algebra symbol skills depend on mastery of the abstract rules presented in the curriculum (Matz, 1980; Sleeman, 1986). Thus, students' ubiquitous… Expand
Wherever You Go, There You Are
explored the theoretical foundations of situated cognition. Many of the original participants in the symposium provided original or previously published chapters, and new contributors were given… Expand
Interference of Instrumental Instruction in Subsequent Relational Learning
To balance their professional obligation to teach for understandingagainst administrators' push for higher standardized test scores,mathematics teachers sometimes adopt a 2-track strategy: teach part… Expand
Untangling Teachers' Diverse Aspirations for Student Learning: A Crossdisciplinary Strategy for Relating Psychological Theory to Pedagogical Practice.
- David H. Kirshner
The Learning Principle propounded in Principles and Standards for School Mathematics (NCTM, 2000) rehearses the familiar distinction between facts/procedures and understanding as a central guiding… Expand
Obstacles to Understanding Cognition As Situated
Greeno (1997) argued that these are misreadings of situative positions, occasioned by paradigmatic differences in presupposition and language: "In discussions of the situative and cognitive… Expand
Cognition as a Semiosic Process: From Situated Mediation to Critical Reflective Transcendence
Cognition as a Semiosic Process: From Situated Mediation to Critical Reflective Transcendence In Situated Cognition: Social, Semiotic, and Psychological Perspectives, edited by David Kirshner and… Expand
Technology and curriculum design: The ordering of discontinuities in school algebra