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Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22, 1-36. doi:10.1007/BF00302715

has been cited by the following article:

• TITLE: Students’ Abstraction Process through Compression to Thinkable Concepts: Focusing on Using “How To” in Learning Units of Lesson Sequences to Provide a Tool in Conducting Students’ Concepts

  AUTHORS: Nisara Suthisung, Maitree Inprasitha, Kiat Sangaroon

  KEYWORDS: Lesson Study; Open Approach; Precept; Compression to Thinkable Concept; How to; Learning Unit

  JOURNAL NAME: Creative Education, Vol.3 No.7, November 21, 2012

  ABSTRACT: The purpose of this study is to analyze “how to” in the students’ abstraction process through compression to thinkable concept under classroom using Lesson Study and Open Approach. Data for this study were collected by using a teaching experiment, with the four of first graders as targeted. The research results revealed that in the students’ abstraction process, they compressed computable symbols and conducted 10 as “how to” in their thinking and thinkable concept at the same time. It is shift steadily from performing sequence of compression in students’ thinking from actions being linked together in increasingly sophisticated ways.