The Validity of a Multiple Representation of Calculus With Mathematica Learning Tool for Improving Students' Productive Thinking Abilities


In the era of the fourth industrial revolution, productive thinking skills are in high demand. Creative thinking, critical thinking, and independent learning are all part of productive thinking skills. A person’s ability to solve a problem with various alternatives can be measured in a range of ways, and productive thinking is linked to these abilities. Wolfram Mathematica is a cutting-edge technology that can be used to solve and visualize a wide range of mathematical problems. The purpose of this study was to develop a multiple representation of calculus with Mathematica (MRC-Math) learning tool to improve students’ productive thinking skills. After developing the MRC-Math learning tool, the experts validated the device. Based on the results of the validation, several improvements were made to the learning device, and then the tool was re-validated. The final validation result showed that the MRC-Math learning tool has a high level of validity.

Keywords: validaty, MRC-MATH, multiple representation, calculus, productive thinking ability

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