### DOE Archives

#### New Jersey Core Curriculum Content Standards

May 1996

Mathematics Standards And Progress Indicators
Standard 4.5:
All Students Will Regularly And Routinely Use Calculators, Computers, Manipulatives, And Other Mathematical Tools To Enhance Mathematical Thinking, Understanding, And Power

Descriptive Statement: Calculators, computers, manipulatives, and other mathematical tools need to be used by students in both instructional and assessment activities. These tools should be used, not to replace mental math and paper-and-pencil computational skills, but to enhance understanding of mathematics and the power to use mathematics. Historically, people have developed and used manipulatives (such as fingers, base ten blocks, geoboards, and algebra tiles) and mathematical devices (such as protractors, coordinate systems, and calculators) to help them understand and develop mathematics. Students should explore both new and familiar concepts with calculators and computers, but should also become proficient in using technology as it is used by adults, that is, for assistance in solving real-world problems.

Cumulative Progress Indicators

By the end of Grade 4, students:

 1 Select and use calculators, software, manipulatives, and other tools based on their utility and limitations and on the problem situation. 2 Use physical objects and manipulatives to model problem situations, and to develop and explain mathematical concepts involving number, space, and data. 3 Use a variety of technologies to discover number patterns, demonstrate number sense, and visualize geometric objects and concepts. 4 Use a variety of tools to measure mathematical and physical objects in the world around them. 5 Use technology to gather, analyze, and display mathematical data and information.

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 Use a variety of technologies to evaluate and validate problem solutions, and to investigate the properties of functions and their graphs. 7 Use computer spreadsheets and graphing programs to organize and display quantitative information and to investigate properties of functions.

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

 8 Use calculators and computers effectively and efficiently in applying mathematical concepts and principles to various types of problems.

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