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수학 교사의 교과서 이해 및 활용 의도 탐색

Investigating mathematics teachers’ understanding of and intention to use textbooks

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초록

이 연구는 수학 교사들이 교과서 등으로 구현되는 교육과정을 어떻게 이해하여 활용하고자 의도하는가를 탐색하고자한다. 이를 위해서, 교사들이 교과서 내용을 수업에 적용하는 의도와 목적을 파악하기 위한 설문검사 문항을 개발하였으며 25명의 교사들이 검사에 참여하였다. 자료 분석 결과로, 첫째, 연구 참여 교사들은 대체로 교과서의 내용을 그대로 수업에 활용하려는 경향을 드러낸다. 둘째, 교과서의 문제를 수정하거나 보완을 시도하는 경우에 그 결과물이 학생들의 수학적 사고 능력을 촉진하는 과제의 특성을 포함하는 단계에는 이르지 못하는 것으로 보인다. 셋째, 대체로 교사들은 학생의 수학적 역량을 개발을 목적으로 두기보다는 평가 준거로서 교과서를 활용하고자 의도하였다. 수학 교사들은 수업 실행에 있어서 교과서의 내용을 해석하여 능동적으로 수업에 활용하기 보다는 교과서 내용을 그대로 수용하여 충실히 따르고자 의도하는 것으로 나타났다

Abstract

This study aims to investigate how secondary mathematics teachers understand and intend to use textbooks for their mathematics instruction. For this purpose, we developed a set of survey items in order to unpack what the teachers understand the mathematical tasks suggested in the textbooks in terms of the levels of cognitive demand and how they intended to use the tasks in the textbooks for their teaching. Twenty-five teachers participated in the survey. The data from the survey were analyzed. The findings from the data analysis suggested as follows: a) the teachers seemed to closely follow textbooks without attempting to modify the tasks, even when the teachers consider it is necessary to modify textbook tasks to high-level tasks, b) the teachers seemed to be unstable in regards that they admitted themselves very competent for modifying tasks for developing students’ mathematical thinking but, at the same time, they were uncomfortable with transforming tasks into cognitively demanding tasks that promote students’ mathematical understanding, and c) the teachers appeared to consider textbooks as significant criteria in conducting tests including midterm and final exam. In conclusion, the teachers seemed to intend to follow closely the contents and sequence of mathematics textbooks in their mathematics classrooms.

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