Writing was developed by the Sumerians approximately 5,000 years ago. At the same time, the Sumerians developed some written notation for mathematics. Writing and mathematics are brain tools--they are powerful aids to the human mind. The abilities to use both written language and mathematics are so useful to people that these are "basics" in our formal educational system. Students study and practice the "three Rs" year after year in K-12 education and even on into higher education as they work to develop contemporary and more advanced knowledge and skills (expertise) in these areas.
Our math education system pays some attention to the idea that math is a language. For example, many math teachers have their students do journaling on the math learning experiences and their math use experiences. Some math teachers make use of cooperative learning--an environment that encourages students to communicate mathematical ideas. Some math assessment instruments require that students explain what it is they are doing as they solve the math problems in the assessment.
There has been a great deal of research on the teaching and learning of reading and writing in one's first (natural) language. In addition, there has been a great deal of research on the learning of a second language. It seems likely that some of the research findings and practical implementations of these findings would be applicable to teaching and learning of mathematics.
In the early days of computer programming, there was quite a bit of research done how to identify people who might be good at computer programming. It turned out that music ability and math ability correlated well with computer programming ability. This is interesting from the point of view that in some sense music is a language, and computer programming requires learning programming languages and then solving problems using the languages.
摘自：http://pages.uoregon.edu/moursund/Math/language.htm
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