# van Hiele Theory, The

**DOI:**https://doi.org/10.1007/978-3-030-15789-0_183

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## Definition

The van Hiele theory offers a framework that describes how students learn geometry.

The van Hiele theory had its beginnings in the 1950s in the companion doctoral work of husband and wife team Pierre van Hiele and Dina van Hiele-Geldof. Dina died in 1958. Pierre continued to develop and refine the theory that is explored thoroughly in his 1986 book, *Structure and Insight*. Pierre died in 2010 at the age of 101.

Much of the resurgence of interest in the teaching of geometry that began in the 1980s and 1990s can be traced to the ideas developed in the van Hiele theory. Detailed accounts and summaries of this early, but still highly relevant, work can be found in the following, e.g., Burger and Shaughnessy (1986), Clements and Battista (1992), Fuys et al. (1988), Hoffer (1981), Lesh and Mierkiewicz (1978), Mayberry (1981), and Usiskin (1982).

## Keywords

Van Hiele theory Philosophy of mathematics education Geometry Levels of thinking Teaching phases Cognitive growth Role of language Develop student understanding## References

- Burger WF, Shaughnessy JM (1986) Characterizing the van Hiele levels of development in geometry. J Res Math Educ 17:31–48CrossRefGoogle Scholar
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- Fuys D, Geddes D, Tischler R (1984) English Translation of selected writings of Dina van Hiele-Geldof and Pierre M. van Hiele. Brooklyn College. (ERIC Document Reproduction Service No. ED 287 697Google Scholar
- Fuys D, Geddes D, Tischler R (1988) The van Hiele model of thinking in geometry among adolescents. J Res Math Educ Monogr 3, pp i+1–196 NCTM, Reston, VA, USAGoogle Scholar
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