• Communications of Mathematical Education
• /
• v.13 no.1
• /
• pp.19-38
• /
• 2002

알고리즘이란 ‘유한한 단계를 거쳐 일련의 문제를 해결하기 위한 명확하고 체계적인 방법’ 으로써 수량에 관련된 문제를 보다 신속 ${\cdot}$ 정확하게 처리하기 위하여 역사적으로 다양한 알고리즘이 존재 ${\cdot}$ 변천해 왔다. 계산기가 발명되기 전까지는 지필 알고리즘이 매우 강조되어 왔으나 계산기가 상용화되면서 지필알고리즘에 대한 효용성과 활용도가 점차 줄어들고 있으나 지필 알고리즘은 수학학습의 기초 ${\cdot}$ 기본인 동시에 뼈대로써 그 가치와 역할은 여전히 중요하다. 그러나 표준화된 지필 알고리즘에 대한 지나친 강조로 인해 학생들은 대수적 구조나 계산 원리를 바르게 이해하지 못한 채 반복 연습을 통해 익힌 표준 알고리즘을 기계적으로 적용하여 답을 구하는 경우가 많으며, 이로 인해 학생들은 수학학습에 대한 불안감과 기피현상이 보이고 있다. 또 인간의 창조적 사고활동의 최종적인 산물인 표준 알고리즘은 대안적인 알고리즘에 비해 효율성에서 앞서지만 학생들의 사고 수준에서는 그 원리를 이해하기 힘든 경우가 있을 것이다. 따라서 수학교육의 목적 중의 하나인 문제 해결력을 기르기 위해, 그리고 표준 알고리즘의 가치와 효율성을 인식시키고, 수학학습에 대한 불안감을 줄이기 위해 표준 알고리즘뿐만 아니라 대안적인 알고리즘을 병행하여 지도할 필요가 있다.

• Proceedings of the Korean Society of Computer Information Conference
• /
• 2013.01a
• /
• pp.309-312
• /
• 2013

현대사회는 지식정보의 사회로서 이러한 사회에서는 지식을 단순히 암기하는 것보다 주어진 지식과 정보를 이용하여 새로운 지적 가치를 창출할 수 있는 자율적이고 창의적인 인재가 필요하다. 창의성 신장의 측면에서 볼 때, 수학은 문제 해결의 다양성, 사고의 유연성을 길러주므로 매우 중요한 과목이다. 하지만 많은 학생들이 수학의 가치와 필요성을 인식하지 못하고 흥미를 잃어가고 있다. 이에 자발적인 학습을 유도할 수 있는 PBL학습을 도입하고자 한다. 그리고 컴퓨터 프로그래밍은 수학 학습에서 학습자의 알고리즘적 사고력을 향상시킨다. 따라서 본 연구자는 수학 흥미도를 향상시키기 위해 스크래치를 활용한 PBL기반의 수학 학습 컨텐츠 개발을 제안한다.

• The Mathematical Education
• /
• v.55 no.4
• /
• pp.467-484
• /
• 2016

What an individual values and regards as important has a significant impact on his or her learning. Classroom instruction would be even more effective if what the teacher regards as important in his or her pedagogical practice are aligned with what students regard as important too. Given this background, this study sought to find out what Korean students valued about mathematics and mathematics learning using a questionnaire developed by Seah (2005). The participants were 409 students from Grade 6 and 407 students from Grade 9 in Korea. The results of this study showed that students put the biggest emphasis on ideological aspects of mathematics, specifically rationalism, among mathematical values. The students also valued product, computation, process, exposition, and recalling among values related to the learning of mathematics. A comparative analysis between the two groups of students showed that sixth graders tended to think more positively with regards to each value than ninth graders. On the basis of these results, this paper raises some issues about students' values in mathematics learning. It also suggests that teachers need to consider what students value and regard as important in their mathematics learning to bring about even more effective instruction.

• The Mathematical Education
• /
• v.58 no.1
• /
• pp.101-120
• /
• 2019

The goal of this study was to apply an expectancy-value model(Wigfield & Eccles, 2000) to explain changes in six multi-ethnic students' achievement motivation in mathematics during sixth (2012) to eighth (2014) grades. In order to achieve this goal, we used narrative research methods. Although individual students' achievement motivation and mathematics related life experiences differed, there are some common factors influencing their motivation development, especially (a) roles played by parents and teachers; (b) assessment of peers' competencies; (c) past learning experiences related to mathematics curriculum; (d) perception of the relationship between mathematics competency and other subjects; (e) home backgrounds; and (f) perceived task values. In this study, we achieved some insight into why some multi-ethnic students are willing to study hard to get good scores while others are uninterested in mathematics, and why some multi-ethnic students are likely to pursue new mathematical tasks and persist despite challenges, while others easily give up studying mathematics in the face of adversity. We argue that in order to increase and sustain multi-ethnic students' achievement motivation, educators and parents should recognize that motivation is contextually formulated in the intersection of current people, time, and space, not a personal entity formed in an individual's mind. The findings of this study shed light on the development of achievement motivation and can inform efforts to develop multi-ethnic students' positive motivation, which might influence their mathematics achievement and success in school.

• Journal of the Korean School Mathematics Society
• /
• v.20 no.3
• /
• pp.239-254
• /
• 2017

The study in this paper considers how high school students' attitudes toward and interest in mathematics could be promoted by conjoining the learning of ma thematics with the learning of social science topics. Survey instrument was dev eloped to measure student attitudes toward mathematics and social science subje cts and to evaluate student beliefs on learning mathematics embedded in social science topics. Data were collected from high school students in Korea by admi nistering pre- and post-tests: students were intervened with examples of math problems embedded in certain social contexts. The findings indicate that high sc hool students' experience of solving mathematics problems embedded in social c ontexts positively affects the promotion of their attitudes toward and beliefs on both mathematics and social science subjects.

• Journal of the Korean School Mathematics Society
• /
• v.18 no.1
• /
• pp.83-102
• /
• 2015

This study would suggest to analyze the perceptions of good mathematics teaching in high school and offer the resolutions for the conflicts caused by differences in perception between teachers and students in math class through previous studies and comparative implications. To this end, Students are classified by their courses, grades, gender awarenesses and they were analyzed and compared by the survey results. Although the preference for the math class that fixs the misconception of students is highest, regardless of the kinds of students groups. Academic students, middle-ranked students, female students have high affinity for the class to evaluate the material covered in class and take into account their level of assessment and instruction, low-ranked student's preference is higher for the class that has focused on understanding communicating their thinking processes than students. From this, it is suggested that academic students, low-ranked students are needed to be taught in a way that increases their confidence, interests, values and also in atmosphere that make math class a positive experience.

• Communications of Mathematical Education
• /
• v.28 no.1
• /
• pp.19-44
• /
• 2014

This study aims to develop strategies for improving the affective characteristics of Korean students based on results from international achievement tests. In pursuing the goal, different research methods are employed including a) analysis of the theories and literature regarding the affective domains included in PISA and TIMSS studies; b) analysis of the current situation and needs of Korean students with respect to the affective factors based on PISA and TIMSS results; c) case studies of best practices in relation to students' affective domains in Korea and abroad; and d) development of strategies for improving and supporting Korean students' affective characteristics. In this paper, first of all, relevant theories on affective characteristics in literature are introduced. In other words, the concepts of three affective domains in question - interest, self-efficacy, and value - are reviewed, and their definitions for the present study are made. Also, teaching strategies and support plans for improving students' affective factors are extracted from previous studies. Furthermore, this paper reviews recent trends in research on how the affective domains are related to mathematics education and how one can teach them effectively. The teaching guidelines for each affective domain are developed according to the instruction principles extracted through literature review in general for all subjects. Based on the results of the findings mentioned above, this paper establishes and suggests the guidelines on how to teach mathematics reflecting the affective characteristic.

• Journal of the Korean School Mathematics Society
• /
• v.15 no.2
• /
• pp.259-279
• /
• 2012

The purposes of this study were to investigate the effects of the use of link sheet in pre-service mathematics teachers' mathematics learning. The study was conducted in Calculus course during 1 semester with 25 pre-service mathematics teachers. According to the results of questionnaires and focused group interviews, the use of the link sheet helped students to develop deeper understandings of mathematical concepts and mathematical communication ability. In addition, the use of the link sheet encouraged students to realize the value of the mathematics and it also played a central role in creating active and self-directed learning atmosphere.

• Education of Primary School Mathematics
• /
• v.20 no.1
• /
• pp.117-130
• /
• 2017

Euclid's elements have been recognized as a significant textbook in mathematics and mathematics education because of importance of its contents and methodology. This study discussed how the elements is connected with understanding of math textbooks in elementary school, trying to reveal the value for teacher training. First, when details in elementary textbooks were considered in aspect of elements, the importance of elements was illustrated with the purpose of understanding contents of elementary school by examining educational implications. In addition, the study discussed the value of the elements as the place for teachers and would-be teachers to experience math system.

• Education of Primary School Mathematics
• /
• v.14 no.3
• /
• pp.277-291
• /
• 2011

It is necessary for the teacher to understand why teach mathematics in order to implement the visions and expectations of the national mathematics curriculum in her actual classroom. This study conducted a survey of examining how elementary school teachers might understand the purpose of teaching mathematics. The results of this study showed that teachers' conceptions of the purpose of teaching mathematics were related mainly to the development of logical thinking, practical use of mathematics in everyday life, and a tool for studying other subjects or disciplines. However, teachers did not perceive much other purposes of mathematics education such as understanding the world, appreciating aesthetic value of mathematics, and developing communicative ability as well as sociality. Whereas teachers did not think of the significance of mathematics as an intellectual field when asked to write down how they would explain students why they had to learn mathematics, they tended to strongly agree it in the Likert-scale responses. Teachers' conceptions were not different according to their gender but teachers with less than five years' teaching experience were relatively negative than others with more experience. Given these results, this study provided issues and implications of teachers' conceptions of the purpose of teaching mathematics.