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Language gives teachers of multiple subjects an interesting way to cross disciplines. But understand the focus here: It is not about how to communicate in mathematics; rather, it is about patterns in form and in syntax, which lead directly to learning about language in general and about machine communication in particular.
Here are two activitiesusing written expressions and visual codingsthat let you explore the wealth of word patterns in language. (Don't forget to read the activity background for more ideas on classroom use and connections to standards.)
Almost all students have mastered one language or another. And language has some of the most sophisticated patterns we can imagine. As soon as young students can read, they can play Limerick Factory and Syntax Store, regardless of whether they understand all aspects of the activities.
NCTM Standard 2 (1998) sets the purpose of patterns, functions, and algebra in mathematics education at all grade levels.
In its Standards for the English Language Arts, the National Council of Teachers of English states that "as students progress through their formal schooling, they grow in their ability to use language clearly, strategically, critically, and creatively." This development parallels students being able to identify patterns and differences between the familiar syntax they use to communicate in everyday life and the alien syntax they need to communicate with machines.
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