• 한국수학교육학회지시리즈A:수학교육
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• 제53권1호
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• pp.1-24
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• 2014

This study examines the effects of reflective journal writing on the mathematics self-efficacy in reciprocal peer tutoring. Participants were 38 high school students in Gyeonggi province who attended at a summer intensive mathematics course for 4 weeks. This study used a mixed method. SPSS 21.0 program was used to analyze the quantitative data, and the interviews, observational journals and reflective journals of 6 students were used to analyze qualitative data. According to the results, all the subcategories of mathematics self-efficacy, - mathematics problem-efficacy, mathematics success-efficacy, mathematics learning-efficacy, and mathematics subject-efficacy - improved except mathematics occupation-efficacy. In case of mathematics success-efficacy and mathematics problem-efficacy, students revealed the greatest improvement. In conclusion, reflective journal writing in reciprocal peer tutoring could be suggested as a treatment program to improve students' mathematics self-efficacy.

• 한국초등수학교육학회지
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• 제17권2호
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• pp.207-223
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• 2013

이 논문은 5+2=7과 같은 등호가 들어 있는 식의 읽기와 쓰기라는 두 행위 사이의 불일치 및 그 해소 과정에서 생길 수 있는 문제점에 관하여 논한 것이다. 기호 이해의 시간적 차원과 등호 개념의 이중성을 바탕으로, 초등 수학 교과서에 제시된 등식 읽기와 쓰기 방법을 분석하였다. 교사는 수업에서 기호 읽기와 기호 쓰기를 통해 무시간적인 차원의 기호를 시간 속에 펼쳐 놓는 시간화 작업을 수행한다. 이 때 읽기 순서와 쓰기 순서 사이에 불일치가 있을 수 있으며, 이를 교사가 어떻게 해소하는가는 학생들의 기호 이해에 영향을 줄 수 있다. 등식 읽기를 쓰기 관습에 종속시켜 이 불일치를 해소하면, 관계적 관점을 나타내고 있는 교과서의 등식 읽기를 조작적 관점의 읽기로 변환하는 현상이 일어나게 된다. 등호의 관계적 의미 이해를 중시하는 입장에서 보면, 쓰기를 교과서에 제시된 읽기 방식에 종속시키는 방향으로 불일치를 해소하는 것이 적절하다. 또한, 등호의 읽기 쓰기를 부등호의 읽기 쓰기와 통합적으로 다룰 필요가 있다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제7권1호
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• pp.11-24
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• 2003

The key features of our integrated approach to teaching and loaming college mathematics include interactive and discussion-based teaching, small group work, computer as a tool, problem solving approach, open approach, mathematics in context, emphasis on mathematical thinking and creativity, and writing/communicating about mathematics. In this paper we report a few examples to illustrate the type of problems we use in our integrated approach.

• 대한수학교육학회지:수학교육학연구
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• 제8권1호
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• pp.145-162
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• 1998

This study investigated the effect of teaching mathematical communication in mathematics learning. Cooperative learning, mathematics pin pals, and writing a mathematics diary were used to teach how to communicate mathematically. The experimental group was assigned to cooperate in class, to write a mathematics diary at the end of each class, and to exchange the mathematics pen pals once a week. The control group was taught by the traditional teaching method. The results were analyzed quantitatively and qualitatively. The learning achievement between the two groups was performed with pretests and posttests. And after this study, mathematics pen pals, video protocol and open-ended test were analyzed. The results of this study are the following: 1. There were little differences in learning achievement test between the group taught through communication and those not. And there were little differences in the results of achievement test between the two groups-high and low level classes.2. Cooperative learning, writing a mathematics diary and mathematics pen pals were effective as methods of teaching communication mathematically. The analysis of mathematics pen pals which is to investigate student's writing abilities showed that pen pal partners were improved in QCAI communication levels. There was a significant difference between the two groups in open-ended test. This means that communication learning has an effect on the tests for mathematical thought, reasoning, and creative thought. The analysis of video protocol showed that four students in a cooperative group were improved in their speaking and listening abilities.

• 한국수학교육학회지시리즈A:수학교육
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• 제53권1호
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• pp.147-162
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• 2014

The purpose of this study was to investigate the nature of pre-service elementary teachers' metaphors on mathematics textbooks. Their metaphors describe individual and collective patterns of thinking and action on mathematics teaching and learning. To analyze their metaphors, qualitative analysis method based on Lakoff and Johnson's theory of metaphor (1980) was adopted. Metaphors on mathematics textbooks were elicited from 161 pre-service elementary school teachers through writing prompts. The writing prompt responses revealed three types and thirteen categories: As Type I, there were (1) 'Principles', (2) 'Summary', (3) 'Manual', (4) 'Encyclopedia', (5) 'Code', (6) 'Guidelines', and (7) 'Example'. As TypeII, there were (9) 'Assistant', (10) 'Friend', (11) 'Scale', and (12) 'Ongoing'. As TypeIII, there was (13) 'Trap'. Among these categories, 'Guidelines', 'Assistant', and 'Ongoing' were the most frequently revealed. These results indicate that the relations of mathematics curriculum, textbooks, and classrooms are not a unilateral way but should communicate with each other.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제24권3호
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• pp.175-199
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• 2021

The Science Writing Heuristic (SWH) approach is described as an immersive argument-based science inquiry focusing particularly on learning through epistemic practices. In the literature, several previous studies indicate how academic achievement is positively influenced by the SWH. In addition to these previous studies, several meta-syntheses of qualitative data have been conducted on this particular topic. With these literatures in mind, a quantitative meta-analysis was conducted with ten studies (N = 724) to examine the effectiveness of the SWH on student achievement in Turkey. To present a thoroughly detailed report, this study also examined the following moderators: grade level, subject area, school location, intervention length, and report source. Overall, this study found that in Turkey, the SWH classrooms performed better in academic achievement tests than traditional lecture-based classrooms. Additionally, the SWH is more likely to be effective regardless of grade levels, subject areas, and school locations.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제25권2호
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• pp.135-158
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• 2022

This study aimed to building models to understand the relationships between reasoning resources and content knowledge. We applied Support Vector Machine and linear models to the data including fifth graders' scores in the Cornel Critical Thinking Test and the Iowa Assessments, demographic information, and learning science approach (a student-centered approach to learning called the Science Writing Heuristic [SWH] or traditional). The SWH model showing the relationships between critical thinking domains and academic achievement at grade 5 was developed, and its validity was tested across different learning environments. We also evaluated the stability of the model by applying the SWH models to the data of the grade levels. The findings can help mathematics educators understand how critical thinking and achievement relate to each other. Furthermore, the findings suggested that reasoning in mathematics classrooms can promote performance on standardized tests.

• 한국수학교육학회지시리즈A:수학교육
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• 제41권2호
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• pp.157-172
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• 2002

The purpose of this study is to improve middle students'mathematical communication ability. We designed the mathematics instruction model based on Vygotsky's ZPD to develop the mathematical communication ability, and applied to 2nd grade students in Middle School. And we investigated the significant differences between the group which was instructed with mathematical communication and the group which was instructed with teacher's traditional explanation in aspects of learning achievement, mathematical disposition, and mathematical communication abilities. The results of the study are as follows : 1. There is no significant difference in learning achievement within significance level .05 between the group which was instructed with mathematical communication and the group which was instructed with teacher's traditional explanation by t-test. 2. There is a significant difference in reflection within significance level .01 and in self-confidence within significance level .10 by MANCOVA. 3. There is a significant difference in mathematical communication ability within significance level .01 between two groups by covariance analysis. In particular, there is a significant difference in reading within significance level .01 and in speaking within significance level .05 by t-test.

• 한국학교수학회논문집
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• 제18권2호
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• pp.187-201
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• 2015

본 연구의 목적은 수학수업에 동시를 도입하여 과정중심 수학 동시 쓰기활동 프로그램을 개발하여 적용한 후 이 프로그램이 수학 학업성취도와 수학적 태도에 미치는 효과를 알아보는 데 있다. 본 연구를 위해 서울시 노원구의 Y초등학교 4, 5, 6학년 각각에 실험반과 비교반을 선정하여 128명의 학생들에게 개발한 프로그램을 2개월 동안 적용하였다. 개발한 과정중심 수학 동시 쓰기활동 프로그램은 아이디어 생성하기, 아이디어 선택 적용하기, 아이디어 정리하기, 작품화하기의 4단계로 구성하여 수업에 적용하였다. 사전 사후 검사는 통계프로그램인 I-Statistics을 이용하여 독립표본 t-검정과 종속표본 t-검정을 실시하였고, 수업에 대한 학생들의 생각이나 느낌을 좀 더 구체적으로 알아보기 위해 단원의 모든 차시 수업이 끝난 후 수업 반응에 대하여 설문지를 작성하도록 하여 분석하였다. 연구 결과 도형 영역에서의 과정중심 수학 동시 쓰기활동은 4학년과 5학년 학생들의 수학 학업성취도에 유의미한 차이가 나타나지 않았지만, 6학년에서는 유의미한 차이를 보였고, 모든 학년에서 수학적 태도 개선에 긍정적인 영향을 주었다. 후속연구로 수학 동시를 활용한 다양한 수업 자료의 개발과 효과적인 다양한 수학 수업을 위한 지속적인 연구가 필요함을 제안하였다.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제20권1호
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• pp.1-18
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• 2017

본 연구의 목적은 현 2009개정 교육과정 초등학교 2학년 수학 교과에 미비하게 다루어져있는 어림 측정 영역을 강화하여 학생들의 길이 어림에 대한 이해와 어림 능력의 변화를 살펴보는 것이다. 이에 본 연구에서는 어림 측정 내용을 세 가지 어림 전략을 투입하여 어림을 강화한 수업으로 재구성하여 학생들에게 수업한 후 학생들의 길이 어림에 대한 이해가 길이 어림 능력에 미치는 영향에 대하여 살펴보았다. 연구 결과, 학생들은 어림의 의미를 정확히 이해하고 상황에 따라 적절한 어림 전략을 활용하여 오차를 줄여나가는 모습을 보였다. 또한 어림 전략을 활용하여 문제 해결 과정을 논리적으로 설명하는 능력도 향상되었다.