• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.289-302
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• 2007

I took a look at the note written by the students in math class. But, it was sort of a 'scratch paper' because they focused only on the problems or do not know the writing a notebook. Thus, I prepared organizational writing activity through learning-notebooks and analyzed the results from the writing activity through learning-notebooks in order to recognize the effects how the activity influences students' mathematics academic achievements and attitude. As a result, I could find that writing activity through learning-notebooks contributes to the enhancement of mathematics academic achievement and attitude.

• Communications of Mathematical Education
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• v.8
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• pp.231-245
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• 1999

본 연구는 중학교 1학년 함수 학습을 위해 패턴 활동으로 구성된 함수 지도 프로그램을 개발하고, 개발한 프로그램을 적용한 실험 집단(85명)과 교과서를 적용한 비교 집단(85명)간의 함수 학습에서의 효과를 분석하였다. 함수 지도 프로그램은 학생들이 패턴 활동을 동해 함수적 사고를 기르며, 활동적으로 수업에 참여하여 수학에 대한 자신감과 실생활의 연계성을 가질 수 있도록 구성하였으며, 적용 결과, 수학 수준별 수업을 하는 상반에서는 유의미한 차이를 보였고, 중반에서는 유의미한 차이는 없었으나 수업 시간에 흥미가 매우 높았다는 긍정적 평가를 할 수 있다.

• Journal of Educational Research in Mathematics
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• v.14 no.4
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• pp.403-419
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• 2004

The perspective on this study assumes that the mathematical modeling activity provides students with the environment which promotes metacognitive thinking. The purposes of this paper are to investigate metacognitive thinking on the mathematical modeling with the result of case study. The study revealed that development of students' model was accompanied with the control and monitoring of modeling activities. Also students refined the model by self-assessment and peer-assessment in small group modeling activities and developed generalizable model.

• Education of Primary School Mathematics
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• v.22 no.4
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• pp.281-294
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• 2019

The purpose of this study is to analyze errors and treatment behavior during the course of mathematics learning of academic achievement by applying reflective activities in the second semester of the third year of elementary school. The study participants are students from two classes, 21 from the third-grade S elementary school in Seoul and 20 from the comparative class. In the case of the experiment group, the multiplication unit was reconstructed into a mathematics class that applied reflective activities. They were pre-post-test to examine the changes in students' mathematics performance, and mathematical communication was recorded and analyzed for the focus group to analyze the patterns of learners' error handling in the reflective activities. In addition, they recorded and analyzed students' activities and conversations for error type and error handling. As a result of the study, the student's mathematics achievement was increased using reflective activities. When learning double digit multiplication, the error types varied. It was also confirmed that the reflective activities helped learners reflect on the multiplication algorithm and analyze the error-ridden calculations to reflect on and deal with their errors.

• Journal of the Korean School Mathematics Society
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• v.22 no.2
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• pp.133-161
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• 2019

In this paper, we analyzed the case of supporting the mathematical modeling activities through the group creativity in everyday class of 9th grade. The details are as follows. First, through the theoretical review, the meaning of group creativity according to sociocultural perspective and the sociocultural characteristics of mathematical modeling were confirmed. Second, we experimented in a classroom consisting of 5 groups of 4 students, and conducted a case study focusing on a well developed group of group creativity. The results are as follows. First, group creativity with various types of interaction and creativity synergy was observed at each stage of mathematical modeling. According to the stag e of mathematical modeling and the type of interaction, different creative synergy was developed. Second, the developed group creativity supported each step of mathematical modeling. According to the stage of mathematical modeling and the type of interaction, group creativity supported mathematical modeling activities in different directions.

• Journal of Elementary Mathematics Education in Korea
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• v.2 no.1
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• pp.15-22
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• 1998

Various methods have recently tried to improve elementary mathematics education. One of the common themes is how to activate learners' creative thinking and thus facilitate their learning activities in mathematics. This research attempts to find out what basic elements constitute students' creative thinking, based on psychological studies with regard to learners' thinking activities. Also, the research presents specific mathematics problems and questions which can be used as patterns for the activation and the formation of students' creative thinking in elementary mathematics education.

• Journal of the Korean School Mathematics Society
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• v.22 no.3
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• pp.221-240
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• 2019

The purpose of this study is to suggest Reciprocal Peer Tutoring(RPT) for mathematics underachieving students as one way of the instructional strategies to supplement their lack of mathematics learning and to provide them with successful experiences in learning mathematics. We defined underachieving student in mathematics as the student whose mathematics achievement was high or middle level in the middle school but became lower in high school. Four mathematics underachievers voluntarily participated in this study. We examined the effects and roles of RPT by focusing on their positive change in the affective domain. RPT was conducted for about three months, including pre-training, pretest, and posttest. As the results of this research, RPT has generally made positive changes in the affective domain of underachieving mathematics students. Although four students did not show the same pattern of change and the sub-elements of positive change were different for each student, RPT provided opportunities for 4 all students to experience positive change.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.59-72
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• 2022

The purpose of this study is to understand the characteristics of the mathematical modeling tasks and lesson designs developed by pre-service teachers based on the inherent awareness of mathematical modeling, considering the importance of creating a task to perform mathematical modeling activity and designing a lesson. As a result, the mathematical modeling tasks developed by pre-service teachers mainly presents an appropriate amount of information using real life contexts for the purpose of learning using concepts, and it showed a tendency to develop to the level of cognitive demand that required procedures with connections to understanding, meaning, or concepts. And most of the developed modeling task-based lessons showed a tendency to design warm-up activity, model-eliciting activity, and model-exploration activity. This result is due to the lack of experience of pre-service teachers in creating mathematical modeling tasks. Therefore, it is necessary to continuously provide opportunities for pre-service teachers to learn concepts or create mathematical modeling tasks intended for exploration according to various mathematical contents, thereby actively cultivating their ability to create modeling tasks in the course of training pre-service teachers. Furthermore, it is necessary to strengthen the expertise in mathematical modeling teaching and learning by providing opportunities to actually perform the mathematical modeling-based classes designed by pre-service teachers and to experience the process of reflecting on the lessons.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.611-626
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• 2010

The purpose of this study is to explore the composite properties of linear functions using CAS calculators. The meaning and processes in which technological tools such as CAS calculators generated to instrument are reviewed. Other theoretical topic is the design of an exploring model of observing-conjecturing-reasoning and proving using CAS on experimental mathematics. Based on these background, the researchers analyzed the properties of the family of composite functions of linear functions. From analysis, instrumental capacity of CAS such as graphing, table generation and symbolic manipulation is a meaningful tool for this exploration. The result of this study identified that CAS as a mediator of mathematical activity takes part of major role of changing new ways of teaching and learning school mathematics.

• Journal of Educational Research in Mathematics
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• v.24 no.3
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• pp.467-480
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• 2014

Concepts related to the fraction should be taught with formative thinking activities as well as concrete operational activities. Teaching improper fraction should follow the concept of fraction as a relation of two natural numbers. This concept is also important not to be skipped before teaching the fraction such as "4 is a third of 12". Mixed number should be taught as a sum of a natural number and a proper fraction. Fraction as a quotient of a division is a hard concept to be taught since it requires very high abstractive thinking process. Learning the transformation of division into multiplication of fractions should precede that of fraction as a quotient of a division.