• Communications of Mathematical Education
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• v.37 no.3
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• pp.393-417
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• 2023

The necessity of this study was to improve academic achievement and math attitudes through leveled reciprocal peer learning, and the specific purpose was as follows. First, each unit seeks to select learning methods and contents for each level of class for reciprocal peer learning, second, develop activity sites for each level through curriculum analysis, and third, improve academic achievement and math attitudes through classes that apply reciprocal peer learning activities. The study was conducted on 60 second graders of 00 High School in 00 Metropolitan City. Two classes were selected for the midterm exam results for the first semester of the second grade. Class 1 was divided into the experimental group and the other class 1 was divided into the comparative group, and 13 classes were conducted for about 2 months from May 1 to July 4, 2020. The experimental group (30 students) was a class that applied leveled reciprocal peer learning activities, and the comparative group (30 students) was a class that was taught based on traditional textbooks. As a result of this study, first, in this study, it was possible to improve academic achievement and math attitudes by setting learning contents for each unit and applying reciprocal peer learning activities for each level. Second, the experimental group taught by applying leveled reciprocal peer learning activities was effective in academic achievement and math attitudes compared to the comparative group taught based on traditional textbooks to students in the upper, middle, and lower groups. Third, in the class applying leveled reciprocal peer learning activities, low-level students who were neglected in math classes were also interested in the class and actively participated in it, showing improvement.

• Communications of Mathematical Education
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• v.12
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• pp.185-200
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• 2001

증명은 수학에서 기초적이고도 중요한 주제이다. 추측을 만들어내고 자신에게는 물론 타인에게까지 그 추측을 정리로서 확신시키는 활동은 수학활동에서의 핵심이라고 할 수 있다. 그러나 현재의 증명 학습지도에서는 학생들의 수준보다는 높은 증명 발달단계를 제시하고 있다는 보고와 함께 기존의 지도방법의 개선책을 요구하고 있다. 따라서 본고에서는 몇 가지 증명의 발달 단계를 정리해 보고 Balacheff의 증명 4단계를 토대로 하여 증명활동을 점진적인 구성으로 제시한다.

• Communications of Mathematical Education
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• v.8
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• pp.189-207
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• 1999

본 연구의 목적은 초 ${\cdot}$ 중학생들의 수학적 신념을 알아보고, 그러한 신념을 형성하는 요인들을 수학 교실의 상호작용에서 찾아보는 것이었다. 이를 위해, 초등학교 5, 6학년과 중학교 1, 2, 3학년 학생들의 수학적 신념을 질문지로 조사하였으며 각급 학교의 수학 교실에서 벌어지는 교수-학습 과정을 비디오로 촬영하여 각 교실의 사회적 규범들을 비교 분석하였다. 그 결과로서, 학생들은 수학은 이미 만들어진 규칙과 용어들로 이루어졌고 그 규칙에 따라 주어진 문제를 풀어 답을 구하는 것이 수학적 활동이라고 인식하고 있었다. 한편, 이러한 신념은 각급 교실에 형성된 사회수학적 규범과 일치했으며, 특히 개념설명과 새로운 전략 및 오류에 대한 반응과 관련된 사회수학적 규범이 학생들의 수학적 활동을 제한함으로써 그들의 신념을 결정하고 있었다.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.281-300
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• 2015

The purpose of this research is to analyze cognitive demands, answer types, and storytelling types on the basis of mathematical tasks in five different mathematics textbooks based on 2009 revised curriculum in order to suggest directions for the development and use of storytelling mathematics textbooks in school. Results show that first, PNC (Procedures without Connections) task was the largest category in cognitive demands of all mathematical tasks, Low-Level task was larger than others in cognitive demands of mathematical content tasks, and High-Level task was larger than others in cognitive demands of mathematical activity tasks. Second, a short-answer type was the largest category in answer types of all mathematical tasks, the majority of mathematical content tasks were a short-answer type, and the majority of mathematical activity tasks were both short-answer and explanation-answer types. Finally, storytelling connected to real-life was the largest category in storytelling types, and the number of mathematical activity tasks was less than that of mathematical content tasks. However, in the tasks reflected on storytelling, the percentage of mathematical activity tasks was higher than that of mathematical content tasks. Based on the results, while developing storytelling mathematics textbooks and using storytelling textbooks in school, it suggests to consider the need for balance and diversity in cognitive demands, answer types, and storytelling types according to mathematical tasks.

• Journal of the Korean School Mathematics Society
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• v.18 no.1
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• pp.15-37
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• 2015

As the value and importance of mathematical communication was recognized, mathematical communication in mathematics education has been strengthened more and more. Written communication as well as verbal communication is emphasized. On the other hand, storytelling is introduced for elementary students to learn mathematical concept more naturally and easily in the 2009 revised curriculum. So, we noticed that they are familiar with story. In this study, we analyze the story writing activity levels with a focus on story writing, and how to think about it. And we offer some suggestions about mathematical story writing activity.

• Journal of Elementary Mathematics Education in Korea
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• v.10 no.1
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• pp.43-66
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• 2006

This study was proposed to analyze mathematical communication activity and mathematical attitudes while students were solving project problem and to consider how the conclusions effects mathematics education. This study analyzed through qualitative research method. The questions for this study are following. First, how does the process of the mathematical communication activity proceed during solving project problem in a small group? Second, what reactions can be shown on mathematical attitudes during solving project problem in a small group? Four project problems sampled from pilot study in order to examine these questions were applied on two small groups consisting of four 5th grade students It was recorded while each group was finding out the solution of the given problems. Afterward, consequences were analyzed according to each question after all contents were noted. Consequently, conclusions can be derived as follows. First, it was shown that each student used different elements of contents in mathematical communication activity. Second, during mathematical communication activity, most students preferred common languages to mathematical ones. Third, it was found that each student has their own mathematical attitude. Fourth, Students were more interested in the game project problem and the practical using project problem than others.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.355-370
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• 2016

This research intends to and understand a prospective teacher, Kim's mathematics lesson in the perspective of Activity Theory. In this study, Kim's mathematics lesson was explored in the aspects of subject, object, tools, division of labor, community, and rule which are main constituent of Activity Theory and Activity System suggested by $Engestr{\ddot{o}}m$. As the result of study, we discussed the phenomena such as the fluctuation between object and tool, the multi-voicedness between object, rule, outcome and student subject, and the dissonance between division of labor, community and rule were appeared in Kim's mathematics lesson as an activity system.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.8
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• pp.146-159
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• 2018

The purpose of this study was to investigate the effects of Mathematical Activities using 4D-frame on 5-year-old children's mathematical ability and attitude towards Mathematics. For the study, E, K, and Y preschools located in S city were selected: 28 children from Y preschool as the experimental group(I: n=14, II: n=14) and 28 children from E and K preschool as the comparative group(III: n=14, IV: n=14). During the 8 weeks, the experimental group performed Mathematical Activities using 4D-frame and in the comparison group, Nuri-Curriculum's mathematical activities and mathematics-science integration programs were conducted. The analysis of covariance(ANCOVA) was conducted with the pre-test scores of the experimental group(I, II) and the comparison group(III, IV) as covariance. The results showed that there were statistically significant differences between the experimental and comparative groups. Mathematical Activities for Young Children using 4D-frame enhanced 5-year-old children's mathematical ability and attitude towards Mathematics. The results of this study provide an understanding of the efficiency of early childhood mathematical activities using the 4D-frame in early childhood education and provide basic data for the improvement of mathematical ability and attitude of young children and the applicable educational methods at the field.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.583-613
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• 2010

Mathematics anxiety is likely to be a drag on mathematics learning if that is left alone, and it is important to grasp the cause of mathematics anxiety and devise how to get rid of it. The purpose of this study was to examine the cause of mathematics anxiety among elementary school children, to develop a math-friendly activity program geared toward easing mathematics anxiety and to check the effect of the developed program on the alleviation of mathematics anxiety. The subjects in this study were 32 students in a fourth-grade class in I elementary school located in Dongdaemoon-gu, Seoul. A math-friendly activity program was designed to alleviate the mathematics anxiety of the five subfactors-test anxiety, time constraints, comprehension, learning motivation and parent attitude-on which the students scored higher than their pretest collective averages. The mathematics anxiety pretest data, the objectives and content system of the current 7th national mathematics curriculum and the mathematics textbooks for 4-A and 4-B were analyzed to develop the math-friendly activity program that consisted of psychological remedy (positive thinking training) and non-psychological remedy (mathematics activities). After the program was implemented, we analyze the pretest and posttest mathematics anxiety data to determine the effect of the program. As a result, the collective averages of every student on math anxiety and its subfactors were lower in the posttest than in the pretest.

• Communications of Mathematical Education
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• v.28 no.1
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• pp.131-154
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• 2014

The purpose of this study was to examine the effect of essay writing-centered mathematics instruction on problem solving and mathematical deposition in the elementary school. For the present study, two 6th grade classes with equivalent achievement in terms of problem solving and mathematical disposition based on the pretest. A total of 15 mathematics lessons focused on writing activities were administered to the experiment group for two months, while the textbook-based traditional lessons were given to the comparison group. Both quantitative and qualitative methods were adopted to analyze the data. The results of the present study showed that essay writing-centered mathematics teaching is statistically superior that the textbook-based mathematics teaching with respect to students' problem solving and mathematical disposition. In addition, it was evidenced that essay writing-centered mathematics instruction makes an influence on students' perceptions toward essay-based assessment in a positive way.