K-4 MATHEMATICS STANDARDS

    MATHEMATICS AS COMMUNICATION

    Communication includes at least five instructional methods: 1) writing, 2) speaking, 3) reading, 4) listening, and 5) constructing or modeling. Writing can involve responses to journal prompts, problems created by students, and descriptions of problem solutions. Speaking is that interaction done by the students as they explain their thinking to other students and the teacher. It is important to note that it is the students who are talking and not just the teacher. Reading refers to students reading each others' work or problems or using other resources. Listening allows students an opportunity to critically analyze other students' ideas. Finally, as students construct shapes or model concepts with concrete materials, they communicate ideas about a mathematical topic.

    In grades K­4, the study of mathematics should include numerous opportunities for communication so that students can­

    • relate physical materials, pictures, and diagrams to mathematical ideas;
    • reflect on and clarify their thinking about mathematical ideas and situations;
    • relate their everyday language to mathematical language and symbols; and
    • realize that representing, discussing, reading, writing, and listening to mathematics are a vital part of learning and using mathematics.

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