According to 'Van Hiele level of Geometry' students who can describe and sort out shapes on the basis of appearance are at:

According to 'Van Hiele level of Geometry' students who can describe and sort out shapes on the basis of appearance are at: Correct Answer level 0 - Visualization

The Van Hiele's levels originated in 1957 given by Pierre Van Hiele and his wife from the Utrecht University in the Netherlands. It helped in shaping the curriculum throughout the world that especially influenced the learning of geometry at a large level.

  • It provides an insight to the teacher about how the students learn geometry at different levels. It describes how the students learn at each level and pass to another level.

Key Points

Van Hiele levels:

  • In early schooling, the learners began to learn about shapes and try to differentiate various shapes from each other.
  • The students learn according to their individual differences, the age can be different in each stage as they learn at their own pace.
  • The Van Hiele levels are described below:
     

Level 0: Visualization

  • The students can sort out and describe different geometrical shapes by their whole appearance.
  • For example, a child can recognize and classify the shape of a square, circle, rectangle, triangle, and so on.
  • It belongs mostly to the elementary level of classes.

Level 1: Analysis 

  • They will learn the functions and parts of a figure.
  • They can describe the properties of a figure and recognize the figures with the same properties.
  • It also belongs to the elementary level of classes.

Level 2: Informal deduction

  • The students will be able to understand the relationships between the properties of a figure.
  • They can take part in informal deductive discussions and can discuss the different characteristics of figures.
  • It generally belongs to the upper elementary classes.

Level 3: Formal deduction

  • At this level, the students become aware of the more complex geometrical concepts.
  • According to Van Hiele, in this stage, the students are able to work with abstract statements about geometric properties and make conclusions more on logic than intuition.
  • It belongs to the higher level of classes.

Level 4: Rigor 

  • The last level of geometrical learning belongs to the senior secondary and university level of classes.
  • The students are able to compare different geometrical results.

 

Hence, it could be concluded that according to Van Hiele's stages, the student is at level 0 - Visualization​ stage.

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.