Abstract
This study aims to describe the mathematical reasoning abilities of vocational high school students in the business and management expertise in solving mathematical tasks in the law of demand context. This research uses the descriptive qualitative method. The participants consisted of six students categorized into three groups: high, medium, and low mathematical abilities. Participants from one of the vocational schools in Ciamis, Indonesia. Mathematical tasks to explore students' mathematical reasoning abilities in the law of demand context. The law of demand is a concept in business economics subjects. The task situation expanded as an alternative to solving more mathematical tasks—data from the results of student answers and interviews. Data analysis refers to the characteristics of mathematical reasoning, which consists of imitative and creative reasoning. The stages of data analysis are reduction, presentation, interpretation, inference, and verification. The results of data analysis show that all students tend to do imitative reasoning on each given task. Students tend to remember the law of demand formulas and perform mathematical procedures that they remember. Students often perform mathematical procedures that are not by the nature of mathematics so that the resulting solution is wrong. The law of demand questions designed to explore creative reasoning abilities has not been able to bring students to the flow of creative mathematical reasoning.
Highlights
Lithner (2008) researched reasoning on mathematical tasks
The selection of students based on class and mathematical ability is done not to see the effect of mathematical ability on mathematical reasoning but to see an overview of the reasoning of students from various classes and mathematical abilities who have studied the concept of the law of demand
It is known that the four students failed to understand the question. They assume that what is asked in the question is to write the formula
Summary
Lithner (2008) researched reasoning on mathematical tasks. Analysis of mathematical reasoning on the tasks given to students shows that students tend to do reasoning that is limited to mathematical concepts that are remembered and encountered (Lithner, 2000a). Reasoning by identifying commonalities is found in many tasks that are training (Lithner, 2003). Reasoning that makes global sense is more likely to be difficult for students compared to reasoning that makes local sense or reasoning by identifying similarities (Lithner, 2004). Based on the results of these studies, Lithner (2008) put forward the characteristics of AI TUSI FATIMAH Mathematical Reasoning of Vocational High School Students on Mathematical Tasks in mathematical reasoning in solving mathematical tasks into two major parts, namely creative and imitative reasoning
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