Watch the Standard physical science

As part of the grades 9-12 experience, the standard physical science involves the development of an understanding of geometry of molecules. An examination of the standard geometry for the corresponding grade grouping does not produce any material that is closely associated with the kind of thinking required to understand examples of molecules. However, the standard geometry for pre-K-2, grades 3-5 contain useful material in the development of thinking skills that could be used to understand the three-dimensional molecular structures. Specifi c. ally, the display standard for grades 3-5 has a focus on building on three. dimensional structures by blocks. In pre-K-2 students are invited to apply the transformation. mations and use symmetry to analyze mathematical situations, skills that could still be useful in describing molecular structures. However, in stark contrast with the strong links between K-4 math. ematics and science concepts needed in geometry are not introduced concurrently with the content of science using them. Therefore, coordination of spatial concepts simple light in the early years is maintained through high school.

The lack of connection takes two forms. In the first case, that of chemistry grades 9-12, the concepts of thought which allow the student to grasp the structure of atoms and molecules are introduced well before they need; then both students and teachers cannot recall the relevant material from previous degrees. In the second case, that of the Earth and space science standards, except for the discussion of geometry, the Committee could not find anything in mathemat-ics that support the complex spatial thinking process associated with the description of fluid motion (wind and sea currents) on a rotating sphere. It is interesting to note that the examples and links explicit mathematics with science standards that were so apparent early education are largely missing.

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There are different conclusions about the use of thinking and reasoning in mathematics and space science. Firstly, there is a close connection between the mathematics (pre-K-2 and 3-5) and the standards of Science (K-4) in early education. Secondly, the development of spatial thinking and reasoning in the early years is, in the rules of mathematics, aided by com. systems of computer-based support. Thirdly, this tight coupling is not present during the experience of 9-12. In particular, the rules of science continue to presume, but do not make explicit use of spatial thinking and reasoning. In addition, the estimated spatial thinking skills are most soph. ticated from those to be emphasized in mathematics. Fourth, the highest level of capacity for spatial thinking is crucial to many of the results of key science education such as the analysis of situations in rotating frames of reference.

Finally, the rules of science appear to be a presumption of a set of representation, reasoning and spatial thinking very sophisticated skill, and it is not clear where in the education system has been developed that skill set. To the extent that spatial thinking skills are taught explicitly, the process takes place under the rubric of geometry, which is just one of ten rules that must be fulfilled by the teaching and learning mathematics. Consequently, there is currently no meaningful. systematic treatment of thinking as part of standards-based education in the United States.

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