A Degree of Difficulty in Operations Area in Elementary Mathematics

초등수학에서 연산영역의 곤란도 분석

This paper is about the basic skills of four operations in numbers and operations areas from step 1 to step 3 in elementary mathematics. Here are the results of the evaluation. First, addition and subtraction take the largest time. The average difficulty rate in operations area is 91.2%. Most students understand the contents of textbook well. Specifically, students easily understand the step 1. However, subtraction has lower difficulty rate than addition. Also, three mixed computation, calculation in horizontal, and rounding(rounding down) are difficult areas for students. The contents of step 2 are fully understood. However, lots of mistakes are found in the process of rounding(rounding down), and sentence problems are thought as difficult. Second, the multiplication is first starting in the step 2-Ga. The unit 'Multiplication 99' takes 13 hours, the longest. The difficulty rate in this unit is 89.4%, students understand well. However, students are influenced by addition and subtraction errors in the process of multiplication, and have difficulty in changing the sentence problem to multiplication expression. Third, the division, which starts in step 3-Ga, has 89.9% of difficulty rate. Students well understand. Result of this paper: most of students understand well four operations, but accurate concept, the relationship between multiplication and division, specific instructions in teaching principles of division calculation and sentence problems are in need. Setting the amount of the contents and difficulty rate in understanding are depends on every school's situation, so suggesting universal standard is really hard. However, studying more objects broadly and specific study will be helpful to suggest proper contents and effective teaching.

초등수학교육에서 처음 시작되는 사칙연산은 학교수학에서 매우 중요하다. 이 사칙연산에 대한 학습내용과 그에 대한 학생들의 학습결과를 알아보았다. 학습결과에 대한 신뢰도를 높이기 위해 교과서의 단원별 평가 문항에 나타난 결과를 조사하고 분석하였다. 이 자료를 바탕으로 단원별 평가문항에 대한 곤란도와 곤란도가 낮은 문항의 학습내용을 구체적으로 분석하였다. 분석결과는 초등학교에서 연산영역의 학습내용에 대하여 대부분의 학생들은 잘 이해하나 곱셈과 나눗셈에 대한 정확한 개념과 관계 그리고 체계적인 나눗셈의 원리지도와 문장제에 대한 더 많은 지도가 필요함을 보였다. 또 교과서의 학습내용에 대한 곤란도의 기준은 교과의 특성과 학생들의 수준 그리고 지역에 따라 다양하게 제시하는 것이 바람직하게 생각되었다.