Read e-book online Preschool geometry : theory, research, and practical PDF

By Esther Levenson, Dina Tirosh, Pessia Tsamir

Lately the problem of early youth arithmetic has come to the fore and with it the significance of training geometrical thoughts and reasoning from a tender age. Geometry is a key area pointed out in lots of nationwide curricula and will additionally aid the educational of different mathematical themes, equivalent to quantity and styles. This ebook is predicated at the wealthy event (research and perform) of the authors and is dedicated solely to the training and instructing of geometry in preschool. the 1st a part of the e-book is devoted to kid's geometrical pondering, construction suggestion photographs according to thought definitions, and the dilemmas that come up within the strategy. the second one half specializes in geometrical projects and their function in constructing and assessing geometrical reasoning. The 3rd half specializes in educating geometry to teenagers. all of the 3 components is established in an identical demeanour, starting with basic idea and learn, carrying on with with particular examples relating to these theories, and relocating directly to parts of exact perform. Written in a significant, but stress-free demeanour, any individual who has an curiosity within the arithmetic schooling of preschool young children, be it mom and dad, caregivers, lecturers, instructor educators, and researchers, will locate this e-book appropriate.

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Sample text

Let us try another activity. For each figure below (see Figure 9), tell if the figure is or is not a circle and why. Were you able to explain why figures c and i are circles? Were you able to explain why the other figures are not circles? How is this activity different from a similar activity involving triangles? ) How might children respond to this circle activity? a b c d f g h i e Figure 1. Is it a circle? Why? Amit, Dan, and Yael are three four-old year olds who have already learned how to differentiate between triangles and non-triangles using critical attribute reasoning.

It seems that for Dan, he just sees the circle. This is typical of Gestalt reasoning, where the object appears first as a whole and only after does one perceive parts as opposed to first seeing parts which come together to form a whole. As we discussed in the previous section, the mathematical definition of a concept is the decisive criterion by which we sort instances into examples and nonexamples of that concept. A circle is defined as the locus of points in a plane which are equidistant from a given point called the center.

Another, equally important feature of our definition is its use of mathematical language. We do not substitute the word corner for vertex. Keeping in mind that knowledge built during preschool will follow the children throughout elementary school, we believe that it is important to build accurate foundations from the beginning. Although it may seem that the word corner is more child-friendly than 29 CHAPTER 2 vertex, a corner is not a well defined mathematical term. Corners may be rounded. A vertex may not.

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