Illinois Mathematics Teacher Educators

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Standards Common to All Three Courses

Elementary Mathematics Content I, II, and III are each presumed to include Standards 1-5: Communication, Problem Solving, Reasoning, Connections and Technology.

Standard 1: Communication

1A. Understands the dynamics of working collaboratively with others.
2B. Understands learning styles and learning strategies.
1C. Communicates verbally and in written, visual, and symbolic forms using appropriate technology.
1D. Creates effective learning environments where students will be able to work collaboratively in one-to-one, small group, and large group contexts.
1E. Analyzes the thinking and learning strategies of all students to extend mathematical knowledge.

Standard 2: Problem Solving

2A. Understands the many strategies for problem solving.
2B. Uses problem explorations and modeling to extend mathematical knowledge of all students.
2C. Generalizes results of problems and extends them to other problem situations.

Standard 3: Reasoning

3A. Understands various ways of reasoning with respect to concepts, procedures, and conjectures.
3B. Applies mathematical reasoning and appropriate technologies in the development of concepts, procedures, and conjectures.
3C. Generalizes reasoning skills within the study of mathematics and applies or extends them to other contexts.

Standard 4: Connection

4A. Understands the connections within the mathematics curriculum.
4B. Understands mathematical connections to school curriculums and to other disciplines.
4C. Has knowledge of the historical development of mathematics that includes contributions of men and women from various cultures.
4D. Develops the connections within and among the various branches of mathematics.
4E. Connects mathematics to other disciplines.

Standard 5: Technology

5A. Becomes familiar with the capabilities and benefits of current and emerging technologies.
5B. Understands the selection, integration and utilization of appropriate technologies throughout the mathematics curriculum.
5C. Selects appropriate technologies for instruction.
5D. Integrates current technology as appropriate for instruction.

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