New Jersey Core Curriculum Content Standards
May 1996

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Mathematics Standards And Progress Indicators
Standard 4.2:
All Students Will Communicate Mathematically Through Written, Oral, Symbolic, And Visual Forms Of Expression

Descriptive Statement: Communication of mathematical ideas will help students clarify and solidify their understanding of mathematics. By sharing their mathematical understandings in written and oral form with their classmates, teachers, and parents, students develop confidence in themselves as mathematics learners and enable teachers to better monitor their progress.

Cumulative Progress Indicators

By the end of Grade 4, students:

1.

Discuss, listen, represent, read, and write as vital activities in their learning and use of mathematics.

2.

Identify and explain key mathematical concepts, and model situations using oral, written, concrete, pictorial, and graphical methods.

3.

Represent and communicate mathematical ideas through the use of learning tools such as calculators, computers, and manipulatives.

4.

Engage in mathematical brainstorming and discussions by asking questions, making conjectures, and suggesting strategies for solving problems.

5.

Explain their own mathematical work to others, and justify their reasoning and conclusions.

Building upon knowledge and skills gained in the preceding grades, and demonstrating continued progress in Indicators 1, 2, 3, 4, and 5 above, by the end of Grade 8, students:

6.

Identify and explain key mathematical concepts and model situations using geometric and algebraic methods.

7.

Use mathematical language and symbols to represent problem situations, and recognize the economy and power of mathematical symbolism and its role in the development of mathematics.

8.

Analyze, evaluate, and explain mathematical arguments and conclusions presented by others.

Building upon knowledge and skills gained in the preceding grades, and demonstrating continued progress in Indicators 1, 2, 3, 4, 5, 6, 7, and 8 above, by the end of Grade 12, students:

9.

Formulate questions, conjectures, and generalizations about data, information, and problem situations.

10.

Reflect on and clarify their thinking so as to present convincing arguments for their conclusions.

 

 

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