Abstract
In mathematics education, teachers can use several reasoning methods to find solutions such as inductive, deductive and analogy. This study was intended to guide students to find solutions to problems of radical inequalities through analogical reasoning. The experiment was conducted on 36 grade 10 students at a high school in Can Tho city of Vietnam. The instrument used was a problem of radical inequalities. A three-phase teaching process had been organized with this class comprising individual work phase, group work phase and institutionalization phase. The data collected included student worksheets and was qualitatively analyzed. As a result, many students discovered how to solve the above inequality by using the analogy, and they had a considerable improvement in their problem-solving skills. Additionally, a few ideas were discussed about the use of analogy in mathematics education.
 
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Highlights
An analogy is especially useful in mathematics education, where it serves as a way to teach students some new concepts and may techniques while making discoveries
Students should learn the old material in order to be able to discover new concepts on their own
3.2 Instrument and Procedure 3.2.1 The Problem Solve inequalities: x2 − 3x x +1. This mathematical problem is one of the basic math forms of problems presented in the 10th math textbook of Vietnam (Tran et al, 2016)
Summary
An analogy is especially useful in mathematics education, where it serves as a way to teach students some new concepts and may techniques while making discoveries. Students should learn the old material in order to be able to discover new concepts on their own. Students have a good opportunity to discover new theories and conduct experiments to refine their understanding of a hypothesis. This process promotes thinking development because it requires learners to consider, analyze, compare, compare, generalize knowledge; from there, it encourages the passion for learning and is the driving force to promote students' independent thinking, critical thinking and creative thinking.
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