Effects of Intensive Mathematics Intervention Implemented by a Professional Teacher on Multiplication and Division Performances of Students with Mathematics Difficulties
본 연구에서는 전문성을 갖춘 교사의 수학 집중 교수가 초등 수학 학습부진학생의 곱셈·나눗셈 수행 능력에 미치는 효과성을 검증하고자 하였다. 이를 위해 수학 학습부진으로 판별된 S초등학교 4-5학년 학생 7명을 연구 대상으로 선정한 후 중재하였다. 본 연구자는 단일 대상 설계 중 AB 설계를 적용하여 기초선, 중재. 유지 단계에서 연구 대상자의 곱셈·나눗셈 수행 능력을 측정하였으며, 평균, 경향선 추세(trend), 변동성(variability), 비중복 비율(PND), Tau-U값 등을 사용하여 측정된 자료를 분석하였다. 본 연구의 주요 결과는 다음과 같다. 첫째, 전문성을 갖춘 교사에게 수학 집중 교수를 받은 초등 4~5학년 수학 학습부진학생의 곱셈·나눗셈 연산과 문장제 수행 능력이 기 초선에서 측정된 능력보다 향상된 것으로 나타났다. 둘째, 전문성을 갖춘 교사가 수행한 수학 집중 교수의 효과는 중재가 종료된 후에도 전반적으로 유지된 것으로 나타났다. 위에서 제시된 연구 결과를 통해 전문성을 갖춘 교사의 수학 집중 교수는 초등 수학 학습부진학생의 곱셈·나눗셈 수행 능력 향상을 위한 효과적인 학습 지원 방안이라는 것을 확인할 수 있었다. 이상의 결론을 바탕으로 본 연구의 제한점 및 제언이 논의되었다.
The purpose of this study was to examine the effects of intensive mathematics intervention implemented by a professional teacher on multiplication and division performance of elementary students with mathematics difficulties. The participants were seven students screened as low-achieving in mathematics from a public elementary school in Seoul: four were in the fourth-grade and three in the third-grade. To help understand the effectiveness of this practice, the AB design of a single subject was applied to the participants. Summative evaluations were conducted on the participants’ multiplication and division achievement three times in the base line, ten times in the intervention and three times in the maintenance stage by using sixteen alternate-form assessment papers. The data was analyzed by means of average, trend, variability, PND and Tau-U. This study made two discoveries. One was that the intensive mathematics intervention by a professional teacher had a positive effect on advancing the multiplication and division achievement of all the participants. Their achievement was significantly enhanced by the application of the intervention. Another area was that every participant’s improvement in the arithmetic operation and word-problem solving ability of multiplication and division was maintained even after the intervention was wrapped up. On the basis of these results, the intensive mathematics intervention by a professional teacher was shown to be an effective aid for improving the underachievers’ learning of multiplication and division.