• Communications of Mathematical Education
• /
• v.16
• /
• pp.165-173
• /
• 2003

수학은 추상적인 학문이다. '추상'은 몇 개 또는 무한히 많은 사물의 공통성이나 본질을 추출하여 파악하는 사고작용이다. 그리고 이 추상들이 모여 분류(유사성을 기초로 해서 우리의 경험을 함께 묶는 것)가 되고 그 다음에 이름이 붙여진다. 이것이 바로 개념(concept)이 형성되는 과정이고 수학자가 수학을 하는 과정이다. 그리고 이 개념들은 여러 가지 모양으로 결합하여 스키마(Schema)라고 부르는 개념 구조를 형성하게 되는데, 이 스키마(Schema)는 수학적 사고를 하는데 매우 중요한 역할을 한다. 본 논문에서는 기존의 초등학교 교과서의 소수의 관한 내용에서 교차연결고리가 부족한 부분을 보충한 스키마식 수업 모델을 제시하여 수학의 연계성과 위계성을 강조함으로써 학생들로 하여금 수학의 구조를 파악하게 하여 수학에 대한 흥미와 필요성을 알게 하는데 그 목적을 두고 있다.

• Journal of Educational Research in Mathematics
• /
• v.24 no.4
• /
• pp.499-514
• /
• 2014

In this study, we conducted the survey to 116 SENKs (students who emigrated from North Korea to South Korea) about mathematical attitude and recognition on mathematics learning and mathematics lesson in South Korea. As the results of the study, SENKs' had positive index on mathematical attitude and recognition about mathematics lesson, but negative index on the recognition about their mathematics learning. SENKs' showed the favoring pictures about mathematics lesson and the needed supports for improving their mathematics understanding. Based on the results, we discussed the implications for teaching and learning of SENKs.

• Communications of Mathematical Education
• /
• v.35 no.2
• /
• pp.137-152
• /
• 2021

Qualitative research has become a growing area of interest among the Korean educational researchers for the last two decades. As a consequence, the number of studies based on qualitative methods has rapidly increased while the quality of qualitative research has not gained much credit among scholars in Korea. This study explores to current practice of qualitative approaches in mathematics education-related studies. With this in mind, this study also seeks ways to improve the validity and trustworthiness of qualitative approaches, and to present implications for the practical practice of qualitative approaches in mathematics education. To this end, a general trend was investigated by conducting a basic analysis of 13 papers that used qualitative approaches and published in Communications of Mathematical Education from 2019 to 2020. Of the 13 papers. Through the basic analysis, 6 out of 13 papers were selected as the object of qualitative text analysis. The result of this qualitative text analysis discusses issues related to the validity and trustworthiness of qualitative research in a detailed manner. In conclusion, based on the results of this qualitative text analysis, this study suggests several key points to keep in mind when applying qualitative approaches in the field of mathematics education in the future.

• Korean Journal of Childcare and Education
• /
• v.11 no.2
• /
• pp.151-175
• /
• 2015

This study configured an integrated math program in which young children can directly participate through storytelling, a teaching technique that has recently earned great popularity. The purpose of the study is to have a positive effect on their mathematical disposition and self-efficacy through the adoption of this program. The program consists of the following five themes: 'understanding of the basic concept of numbers and calculation', 'understanding of the basic concept of space and figure', 'basic measurement', 'understanding of rules' and 'basic data collection and result representation'. The specific activities for each theme planned and executed according to a detailed plan were designed for 20 classes including integrated activities such as story sharing, fine arts and games. The study's participants were 48 five-year old children. The result of the research was that the experimental group's mathematical disposition and self-efficacy score was significantly higher than the control group. The Storytelling-Integrated Math Program was effective in young children's cultivating mathematical disposition and improving self-efficacy. Considering the reality that there has been some confusion and difficulty in carrying out storytelling math and an integrated math program based on the NURI curriculum, it appears that this study could provide a specific and effective teaching-learning program to teachers who want to introduce a program like this.g

• Journal of the Korean School Mathematics Society
• /
• v.20 no.1
• /
• pp.57-76
• /
• 2017

Since the 1990s, Korea has been developing various policies and materials for the improvement of basic learning abilities. In this study, the cases of policies for underachievers in Korea and the US were compared and analyzed the programs for mathematics underachievers in elementary school with Chuncheon office of education and Seattle public schools. All of them started from the point of relief of underachievers, but they differed in the process of operating them specifically. This study suggests the followings. First, active utilization of vacation programs to solve problems such as low-income meal service, prevention of stigma effects, securing teacher's instruction time, teacher-instructor cooperation. Second, the necessity of detailed activity-centered textbooks that underachievers can explore with interest in mathematics learning and easy to use by teachers. Third, specific cooperation for inducing interest of their own children's learning and forming close ties between parents and teachers. Fourth, program analysis by a professional evaluation group to improve the quality of underachiever program.

• Communications of Mathematical Education
• /
• v.28 no.1
• /
• pp.81-96
• /
• 2014

Now, most of programs developed were presented as form of item pool by dividing problems by section and level for the level differentiated course, so the utilization is decreasing at the field caused by unconsidered school underachievement elements by achievement. Especially, the study on teaching materials and effective measures map for mid-low level students with low utilization is more urgent. Therefore, in this study we will promote teaching method for improving learning achievement at high school. The development teaching materials(the performance evaluation and diagnostic assessment, reconstruction of textbooks) will be applied to classes for the underachieving students directly, and the achievement in the experimental class was significantly improved compared to the comparative class and the meaningful conclusions could be drawn as results of conducting same assessment based on the experimental class and the comparative class.

• Communications of Mathematical Education
• /
• v.24 no.3
• /
• pp.691-708
• /
• 2010

The purpose of this study is to analyze 'datum' of 'The Data' in the textbooks of middle school on the basis of 'The Data of Euclid' and develop datum. For this, the followings are conducted. First, the distinctive structure of datum of 'The Data' is considered. Second, some learning materials the contents of geometry in the textbooks of middle school are analyzed and the mathematical meanings are explored. Third, the applicable datum to geometry education of middle school are developed and the way of educational use is studied. The hopefully, the result of this study will make school mathematics education more plentiful and give meaningful implications to revision of mathematics education curriculum and the improvement of teaching and learning.

• Communications of Mathematical Education
• /
• v.29 no.4
• /
• pp.745-762
• /
• 2015

In order to examine the change in mathematical inclinationn of middle level engineering college freshmen, we analyse the change of mathematical inclination between 2011 year and 2015 year freshmen who took college scholastic ability test which are based on the national mathematics curriculum 7th and 7th revision, respectively. In medium-sized D university, 2011 year and 2015 year engineering freshmen were taken the test for mathematical inclination, the survey for mathematical background and the recognition of college mathematics and basic mathematical ability test. The outcomes of this survey are followings: Firstly, between 2011 year and 2015 year freshmen, the mean of confidence and flexibility are same, but the 2015's mean of willpower, curiosity, value and esthetics are greater than 2011's. Secondly, in the mean of flexibility, willpower and curiosity, natural science's mean is greater than humanity's. Thirdly, the mean of mathematical inclination's factors is depend on college mathematics goal. Fourthly, there is little correlation between mathematical basic ability and mathematical inclination. Moreover for 2011 year and 2015 year freshmen, the mean of mathematical inclination's factors except value is proportional to mathematical basic ability. For the success of college mathematics in engineering college, this study suggests that high school mathematics curriculum and college scholastic ability test must contain calculus. We also suggest that college mathematics class must be focused on mathematical inclination improvement.

• Communications of Mathematical Education
• /
• v.23 no.2
• /
• pp.279-296
• /
• 2009

In this paper, we utilize student survey, scholastic level assessment and class evaluation in order to address the problems and find out the improvements on operating the subjects in the university-level program(UP), focusing on the Calculus I. We also propose effective management strategies and learning methods for the UP classes consisting of excellent high school students.

• Journal for History of Mathematics
• /
• v.18 no.3
• /
• pp.55-66
• /
• 2005

In our school mathmatics, the irrational numbers and the real numbers are defined and instructed on the basis of decimal fractions. In relation to this fact, we identified the essences of the real number and the irrational number defined by the decimal fractions through the historical analysis. It is revealed that the formation of real numbers means the numerical measurements of all magnitudes and the formation of irrational numbers means the numerical measurements of incommensurable magnitudes. Finally, we suggest instructional plan for the meaninful understanding of the real number concept.