# The van hiele theory of geometric thinking

The van hiele model is a theory which describes how students learn geometry it is based on the doctoral work of husband and wife, dina van hiele-geldof and pierre van hiele according to their model and other research, students enter geometry with a low van hiele level of understanding. Van hiele levels into discursive stages of geometric discourses with respect to word use, visual mediators, routines, and endorsed narratives. Thus, the van hiele’s phases of learning using tangram can be applied in primary school mathematics to help students achieve better level of geometric thinking keywords: geometric thinking, van hiele’s phases of learning, primary school students, tangram.

Van hiele levels of geometric reasoning this article outlines the five levels of the van hiele model for learning geometry and gives instructional suggestions relating to each one in the model the levels are sequential and not age dependent, and a heavy emphasis is placed on experiential learning. Source: from “characterization of the van hiele levels of development in geometry,”by wfburger and jmshaughnessy, 17 geometric thinking and geometric concepts the chapter 17 geometric thinking and geometric concepts standards chapter 17 geometric thinking and geometric concepts. Abstract the main thesis of the van hiele theory is that childrens’ understanding of geometric concepts can be classified into a sequence of five hierarchical thinking levels, with levels 1 and 5 being the lowest and the. The aim of this study was to investigate the effects of mathematics instruction supported by dynamics geometry activities on students’ achievement in area of quadrilaterals and students’ achievements according to their van hiele geometric thinking levels.

African grade 10 learners’ geometric thinking levels in terms of the van hiele theory were at level 0 the study that was conducted by abu and abidin (2013) categorized the students as 90 students from level 0, 60. About two-dimensional shapes is the van hiele theory of geometric thinking (battista, 2002) improving students’ geometric thinking levels is one of the major aims of mathematics education sinc e geometric thinking is very important in many scientific, technical and occupational areas as well as in. The van hiele’s proposed a theory of geometric thought comprising five sequential and hierarchical levels as a means for identifying children’s level of geometric maturity. Van hiele model of geometric thought in math education, the van hiele model is a theory that describes how students learn geometry the theory originated in 1957 in the doctoral dissertations of dina van hiele-geldof and pierre van hiele (wife and husband) at utrecht university, in the netherlands.

Included in van hiele's theory is a sequence of five phases of activity types that are designed to promote the movement of children's thinking from one level to the next. The van hiele theory and the developmental perspective highlight the necessity of teaching at the child’s level of thought however, almost any activity can be modified to span two levels of thinking, even within the same classroom. Van hiele levels of geometric thought revisited by anne teppo the purpose of this article is to reexam ine the van hiele theory of levels of geometric thinking and to compare this the ory with the geometry curriculum recom mended by the nctm's curriculum and develop a higher level of geometric thinking (van hiele 1986) (see fig 1. Geometry teaching in iceland in the late 1800s and the van hiele theory geometry teaching is connected to the van hiele theory of the 1950s on geometric thinking level has its own language and way of thinking in the van hiele model, level 1 is the visual level,. Developing geometric thinking through activities that f or children, geometry begins with play help, for just then, set theory was established as the foundation for number, and school arithmetic pierre m van hiele pierre m van hiele, a lifelong resident of the netherlands, is a former montessori teacher.

Students’ geometric thinking using this five-phase framework the van hiele theory of geometric thought describes the different levels of understanding through which students progress when learning geometry van hiele theory of geometric thought level description ability of student. The van hiele model of geometric thinking was developed in 1957 by two dutch mathematics educators, pm van hiele and dina van hiele-geldof, see a relatively recent exposition of the model by van hiele in [15. Van hiele theory can help improve geometric thinking in czech school system (curricula, textbooks etc) van hiele levels could exist in other parts of mathematics .

## The van hiele theory of geometric thinking

Describes the characteristics of the five levels of thinking in the hierarchical sequence postulated by the van hiele theory, as well as several properties associated with each level of thinking also discusses some implications of the theory for the planning of geometry instruction in the classroom. Levels of geometric thinking (pierre van hiele) level 1: visual level students at this level recognize figures by their appearance for example they may say that the shape. On the van hiele levels of geometric thinking reached by ghanaian pre-service teachers before leaving for their student internship programme (teaching practice) at the basic schools in all, 300 second year pre-service teachers from 4 colleges of. In mathematics education, the van hiele model is a theory that describes how students learn geometry the theory originated in 1957 in the doctoral dissertations of dina van hiele-geldof and pierre van hiele (wife and husband) at utrecht university , in the netherlands.

- The development of geometric thinking van hiele’s 5 levels of geometric thought sequential, not age-dependent geometric experience creates advancements of levels instruction and language must be at the same level as student how we think and types of geometric ideas that we think about – not how much knowledge we have.
- Developing geometric thinking: van hiele - developing geometric thinking: using gsp in discovering a new theory - uses the prosperities of geometric shapes to identify the subset relation developing geometric thinking: van hiele levels is the property of its rightful owner.
- The van hiele theory as predictive model here achievement was measured by the student’s performance in school in the internal geometry examination of july 1986.

The van hiele theory (1986) is a learning model that describes the geometric thinking students go through as they move from a holistic perception of geometric shapes to a refined understanding of geometric proof. One of the most important studies about geometric thinking is the geometric thinking theory of van hiele van hiele theory was propounded by dutch mathematician dina van hiele and his wife pierre marie van hiele in 1957. Van hiele [1957] described the model of geometric thinking using three aspects: the existence of levels, properties of the levels and the movement from one level to the next level according to van hiele, there are five.