• Communications of Mathematical Education
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• v.33 no.4
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• pp.455-470
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• 2019

The purpose of this study is to investigate of the North Korean adolescents defectors' mathematics learning. We have investgated the characteristics of the North Korean adolescents defectors' mathematics learning states and their difficulties in mathematics learning. As a result, the affective domain of the North Korean adolescents defectors was less confident, worthy, and motivated to learn than the South Korean students. The abandonment rate of the North Korean adolescents defectors was higher than that of the South Korean students. According to the results of the survey, the North Korean adolescents defectors who attended elementary school in Korea compared to the births of the North Koreans and other countries had higher interest and desire for learning. Especially, the result showed that the difficulty of learning the mathematics of the North Korean defectors was the linguistic factor.

• Communications of Mathematical Education
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• v.35 no.3
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• pp.277-293
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• 2021

The purpose of this study was to find out how problem solving learning with open-ended mathematics problems for elementary school students affects their mathematical creativity and mathematical attitudes. To this end, 9 problem solving lessons with open-ended mathematics problems were conducted for 6th grade elementary school students in Seoul, The results were analyzed by using I-STATistics program to pre-and post- t-test. As a result of the study, problem solving learning with open-ended problems was effective in increasing mathematical creativity, especially in increasing flexibility and originality, which are sub-elements of creativity. In addition, problem solving learning with open-ended problems has helped improve mathematical attitudes and has been particularly effective in improving recognition needs and motivation among subfactors. In problem solving learning with open-ended problems, students were able to share various responses and expand their thoughts. Based on the results of the study, the researchers proposed that it is necessary to continue the development of quality materials and teacher training to utilize mathematical problem solving with open-ended problems at school sites.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.187-201
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• 2017

The study in this paper, which is part of a bigger study investigating non-cognitive characteristics of Korean students at the 4-12 grade levels, aims to identify the influential characteristics that explain students' decision to give up on mathematics learning. We consider seven non-cognitive student characteristics: value, interest, attitudes, external motivation, internal motivation, learning conation and efficacy. Data were collected from 21,485 Korean students, and were analyzed with a logistic regression method using SPSS. The findings show that efficacy was the most significant indicator of students' decision to give up on mathematics learning in all three grade level bands: elementary (4th-6th), middle (7th-9th) and high (10th-12th). In particular, the causal model analysis shows that students who highly value mathematics tend to have stronger internal and external motivation, which bring about stronger interest and learning conation, which in turn lead to positive attitudes and strong efficacy regarding the learning of mathematics. It was further found that while external motivation was a significant indicator of upper grade level students' decision to give up on mathematics learning, it was only a moderate indicator for lower grade level students. The findings of this study provide useful information about which non-cognitive areas need to be focused on, in what grade levels, to help students stay on track and not fall behind in learning mathematics.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.231-254
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• 2019

As the teacher-centered education is transformed into learning-centered education, the active knowledge construction of learner becomes important. Along with this change, project-based learning is receiving attention. However, there are many problems to apply the results of research to pre-service teachers because most of the previous studies have focused on elementary middle high school students. Therefore, this study examined the changes in perceptions of pre-service mathematics teachers while project-based learning progressed for one year. Pre-service mathematics teachers had less experience with project-based learning than group discussions, group activities. Also their perceptions was classified as five factors: 'Instructional effects', 'Application and participant of project-based learning', 'Achievement', 'Diffusion of project-based learning', 'Student motivation'. Pre-service mathematics teachers responded positive changes in perception that project-based learning could be motivated to students but they responded negative changes in perception that project-based learning could be distributed to school. They responded positive changes in perception that teachers can show their achievements by project-based learning but they responded negative change in perception that teachers would be fun to apply project-based learning. Also, they responded positive changes in perception that teachers and students were easy to apply or utilize project-based learning.

• Journal of Educational Research in Mathematics
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• v.14 no.3
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• pp.239-266
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• 2004

This article presents new perspectives for analysing and diagnosing students' mathematical errors on the basis of Pascaul-Leone's neo-Piagetian theory. Although Pascaul-Leone's theory is a cognitive developmental theory, its psychological mechanism gives us new insights on mathematical errors. We analyze mathematical errors in the domain of proof problem solving comparing Pascaul-Leone's psychological mechanism with mathematical errors and diagnose misleading factors using Schoenfeld's levels of analysis and structure and fuzzy cognitive map(FCM). FCM can present with cause and effect among preconceptions or misconceptions that students have about prerequisite proof knowledge and problem solving. Conclusions could be summarized as follows: 1) Students' mathematical errors on proof problem solving and LC learning structures have the same nature. 2) Structures in items of students' mathematical errors and misleading factor structures in cognitive tasks affect mental processes with the same activation mechanism. 3) LC learning structures were activated preferentially in knowledge structures by F operator. With the same activation mechanism, the process students' mathematical errors were activated firstly among conceptions could be explained.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.317-323
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• 2004

본 연구의 목적은 예비 초등교사의 수학 수업에 대한 자기효능감을 조사함으로써 예비 교사를 위한 수학 교육프로그램 개선에 도움이 되고자 하는데 있다. 기존의 문헌 분석에 의하면 수업에 대한 교사들의 자기효능감은 수업 수행 능력과 학생들의 학습에 크게 영향을 미치는 것으로 알려졌다. 뿐만 아니라 최근 우리가 지향하고 있는 교사들에 대한 학습자 중심 수학 수업으로의 개선과 변화된 수업 방식의 지속성에 매우 유효한 요인이 된다. 예비 초등교사들을 대상으로 한 본 연구 결과에 의하면 이들의 수학 수업에 대한 자기효능감은 보통의 수준에 머물러 있으며, 특히 상당수의 예비 교사들은 자신의 수학 수업에 대한 자신감이 매우 부족한 것으로 들어났다. 이러한 결과는 아마도 현재 교육대학교에서 예비 교사들에게 제공하는 수학 교육과 관련된 과목을 수강할 수 있는 기회가 매우 제한적인 데서 그 원인을 찾을 수 있으며, 이는 또한 수학 교육 프로그램의 초점이 예비 교사들의 수학 수업 능력의 측면에 초점이 맞추어져야 한다는 것을 시사한다. 예비 교사들의 수학 수업에 대한 자기 효능감은 그들이 이해하고 있는 수학 교수법적 지식과 매우 관련이 깊은 것으로 나타났다.

• Journal of The Korean Association of Information Education
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• v.6 no.1
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• pp.13-29
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• 2002

Mathematical curriculum has been developed based on learners' level and difficulties of contents. Succeed in solving problem in mathematics depends on the completion of the precedent learning. Thus, it is important to diagnose students beforehand. It is also important to develop problem-solving skills for students. In this thesis, Q&A system is proposed to help students learn various problem solving skills in mathematics. Although the system is currently applicable to mathematics, it can be applied to any other subjects.

• The Mathematical Education
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• v.59 no.1
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• pp.31-45
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• 2020

Despite the trend of the times and the government's efforts to implement policies, a number of students, having difficulties in learning math, are still growing. Reflecting this, many studies related to underachiever of learning mathematics were conducted in the field of mathematics education. Most of these studies, however, were intended to find the cause of underachievers of learning mathematics or experimental studies that applied the specific teaching procedures to the underachievers of learning mathematics and found their effectiveness in terms of academic achievement, compared it beforehand. Thus, in this study, 49 studies, from including theses and published journal papers from 2001, were meta-analyzed to find out how effective the teaching treatment for underachievers of learning mathematics has improved academic performance. As a result of this analysis, we found that teaching treatment generally have moderate effect sizes for children with having difficulties in learning mathematics. It was also possible to analyze the effect of various interventions and to obtain some suggestions on which circumstances the greatest effect could be achieved. Teaching treatments for underachiever of learning mathematics could have greater effectiveness in elementary school level, institution certified testing tool was used, targeted for each individual, taught by peer student, lasted for at least 8 weeks, and using teaching aids and ICT tools.

• Journal of Educational Research in Mathematics
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• v.26 no.2
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• pp.205-224
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• 2016

Nowadays technological instruments are advanced to measure brain waves called EEG. Also, it is important to find some facts that cause students to have mathematic anxiety (MA) and to provide remedy programs to lessen their MA in order to help students cure MA that could contribute to negative self-efficacy toward mathematics and mathematical learning. To find how they change the MA level, a small group of 11 high school students in Suwon city participated for ten weeks at the remedy program based on students' levels of MA diagnosed by MASS instrument (Ko, & Yi, 2011) and proofread by 8 advisors who worked in related research areas. The results showed that the remedy program was effective to lessen students' MA and it should provide a long term period since some negative experiences were accumulated for a long time of his or her past schooling by others such as teachers, peers, and parents. EEG showed that students got better scores on a percent of correct answers and a reaction time and some student' EEG from a group HMA became smaller heights and width in comparison of the other groups.

• Communications of Mathematical Education
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• v.11
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• pp.201-233
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• 2001

보통 문장제(일량, 거리, 속도 문제, 시계 문제, 농도 문제, 개수 세기, 측도 영역)는 초등학교부터 반복하며 나오며 대학 수학 능력 시험에서는 외적 문제 해결능력으로 측정되기도 한다. 문장제를 해결하는데는 사고가 여러 단계로 이루어져야 한다. 따라서 일반적으로 문장제는 난해하므로, 조직적이고 전문적인 학습지도가 이루어져야 한다. 하지만 입시위주의 교육 등 여러 여건상 잘 이루어지지 않고 있는 것이 현실이다. 본 연구에서는 문장제의 문제 해결에 필요한 해결요소를 발견하고 저해 요인을 없앨 수 있는 지도 방안으로서 소집단 토의학습에 문제해결 전략을 이용하여, 효율적인 문장제 지도 방안을 연구하고 상이한 문제에 접근하는 방법, 문제를 이용하는 방법 등을 토의학습을 통하여 다양한 풀이방법을 해결하면서 이를 통하여 사고력을 신장할 수 있도록 연구한다.