NCS 수리능력 영역의 대수 문장제 해결 과정에서 나타난 오류 분석에 관한 연구

Abstract

Objectives The purpose of this study is to analyze errors that arise during the problem-solving process of alge-braic word problems in the mathematical reasoning domain of NCS(National Competency Standards) for speci-alized high school students and to explore instructional strategies to address these errors.
 Methods A test consisting of six items was administered to 70 students attending specialized high schools lo-cated in medium city. After conducting the test using the questionnaire, the response sheets were analyzed by error type. Additionally, in-depth interviews were conducted with five participants, and the content of these inter-views was recorded, transcribed, and analyzed.
 Results Many students in specialized high schools experienced difficulties in solving algebraic word problems in the NCS mathematical competency domain. The types of errors observed during the problem-solving process in-cluded errors in skipping solution steps, difficulties arising from mathematical language, errors in problem com-prehension, and errors stemming from inadequate mastery of prerequisite skills, facts, and concepts.
 Conclusions To address significant errors in solving algebraic word problems, it is crucial to focus on algebraic translation, fundamental computational skills, acquiring prerequisite knowledge, and systematic problem-solving writing. Instruction should be centered around vocational foundational abilities, particularly emphasizing algebraic word problems within the context of vocational math competency assessment. Moreover, it is necessary to in-corporate algebraic word problems into the mathematical application domain of specialized high school vocational foundational assessments and develop and implement an education curriculum tailored to the specialized voca-tional context, preparing students for the NCS mathematical ability assessment.