• Korean Journal of Childcare and Education
• /
• v.10 no.2
• /
• pp.175-192
• /
• 2014

The purpose of this study was to investigate the differences in perceived importance of mathematical education (perceived importance) and mathematical interaction of 5-year-olds' mothers according to contents of mathematical education. Second, we intended to examine whether mothers' understanding of purpose of mathematical education predicted on their perceived importance and mathematical interaction. Third, we analyzed relative influence between mothers' perceived effectiveness of concrete materials and worksheets on their perceived importance and mathematical interaction. The subjects consisted of 151 mothers of 5-year-olds lived in D city and K province in Korea. The results were as follows: First, mothers' perceived importance and mathematical interaction were higher in 'number and arithmetic'. Second, mothers' understanding of purpose of mathematical education predicted their perceived importance in all contents and mathematical interaction in 'number and arithmetic', 'geometry', and 'algebra'. Third, mothers' perceived effectiveness of concrete materials predicted better in most contents of mathematical education. Meanwhile, in 'number and operation', mothers' perceived effectiveness of worksheets did a predictive role in their importance awareness. These results were discussed in terms of necessity of a parent education program to provide practical information about contents and methods of mathematical education for their 5-year-old children.

• Communications of Mathematical Education
• /
• v.19 no.1 s.21
• /
• pp.1-14
• /
• 2005

Piaget는 인류가 지식을 구성해 온 방식과 유사한 방식으로 어린이들도 자신들이 학습해야 할 지식을 학습할 수 있다고 가정한다. Kamii는 이 가정을 확인하고자 하는 열망으로 실험교수법을 이용한 수학수업을 실시하였다. 본 고에서는 Kamii가 얻은 결과 중 곱셈에 대한 결과를 발생론적 인식론 입장에서 논의가 이루어 질 것이다. 이 논의는 어린이들이 구성해 가는 지식이 선대인들이 사용하던 지식과 유사하다는 점과 어린이들이 구성해 가는 지식이 완성된 지식의 형태를 갖출 수 있다는 점을 중심으로 이루어진다. 또한, 그 결과로부터 전통적인 수학 교수법에 변화가 있어야 함을 발생론적 인식론을 적용한 수학 수업의 특징과 비교하면서 시사점을 논의하고자 한다.

• Communications of Mathematical Education
• /
• v.26 no.1
• /
• pp.15-28
• /
• 2012

In order to study the relation between self-directed learning readiness and mathematical inclination, we survey the adjusted SDLRS(self-directed learning readiness scale) of Guglielmino's model and the mathematical inclination, the recognition of mathematics for 2011 year engineering freshmen in D university. Research results are as follows: First of all, middle level engineering freshmen showed average level of self-directed learning readiness, and they had lower level of motivation, passion and time management skill. The relation of SDLR and the mathematical inclination was strong. Furthermore, SDLR and the recognition of mathematics in engineering freshmen was found to be the most closely related. Based on the results of the study, we suggest to study of strategies to elevate SDLR of engineering students and improve their achievement in college mathematics. Especially, we suggest that college mathematics for engineering freshmen must be focused on the improvement of SDLR.

• Communications of Mathematical Education
• /
• v.36 no.4
• /
• pp.511-533
• /
• 2022

The purpose of this study is to develop a learning coaching model suitable for the mathematics subject by reflecting the characteristics of the mathematics subject and the mathematics teaching/learning process in the CARE learning coaching model that supports students' self-directed learning. The mathematics learning coaching model developed in this study is a 'step' and 'element' to apply coaching, and a 'strategy' for carrying out it. Mathematics learning coaching model evaluated rapport, trust, state management, and math pre-test as elements of 'creating a comfortable atmosphere', and problem recognition, hypercognition, restructuring, initiative, and math learning ability as elements of 'improving perception'. Self-efficacy, learning readiness, confirmation (feedback) as elements of the 'reawakening of learning immersion' stage, voluntary motivation and success experiences as elements of the 'empowerment' stage, and various math learning strategies to perform each element presented. The math learning coaching model can be used to help math teachers motivate students to learn and help students solve their own problems.

• School Mathematics
• /
• v.10 no.4
• /
• pp.649-669
• /
• 2008

The study focuses on what to consider and do for the improvement of math education of Korea by comparing two general high school students' and two specialized high school students' beliefs about mathematics and mathematics learning. The major topics compared in the beliefs are composed of perception of mathematics as a science, learning methods of mathematics. The results of the study show that two general high school students tend to set more low value on mathematics, especially in the value of implement, civilization, utility of mathematics than that of two specialized high school students.

• Education of Primary School Mathematics
• /
• v.21 no.2
• /
• pp.151-162
• /
• 2018

The purpose of this study was to investigate the effects of teacher's mathematical belief and student's mathematical performance, sex on the perception of mathematics classroom quality. And this study also detailed the relation between self-directed learning attitude and perception of mathematics classroom quality. For this purpose, this study used 'Students Perception of Mathematics Classroom Quality(SPOCQ)' as an instrument. This instrument focuses on appeal, challenge, choice, meaningfulness, self-efficacy. The 430 5th and 6th grade elementary school students were included in sample. The results obtained in this research are as follows; First, there was a significant difference in the perception of mathematics classroom quality between positive mathematical belief teacher's group and negative mathematical belief teacher's group. So, teacher's mathematical belief influence on the students' perception of mathematics classroom quality. Second, there was a significant difference according to the student's mathematical performance and sex. The students of high mathematical performance usually had positive perception of mathematics classroom quality and the male students also had higher mean than female students. Third, there was positive correlation between self-directed learning attitude and perception of mathematics classroom quality.

• Communications of Mathematical Education
• /
• v.17
• /
• pp.97-114
• /
• 2003

일선 교육 현장에서 영재를 지도함에 있어서 해결해야 할 당면 과제는 판별 도구와 학습 프로그램의 개발이다. 영재를 위한 수학 프로그램을 문제 해결형, 수학 탐구형, 과제 해결형의 3가지로 분류할 경우, 퍼즐은 문제 해결형과 수학 탐구형 프로그램의 특성을 공통적으로 갖고 있는 유형으로 수학적 지식의 통합과 연결성. 그리고 창의적 문제 해결력 신장 및 수학적 원리 ${\cdot}$ 법칙을 체험적으로 만들 수 있는 기회를 제공한다는 점에서 매우 가치있는 프로그램이다. 특히 조작퍼즐은 기존의 대수적 표현 체계로 학습하기가 힘든 관찰력이나 공간에 대한 인식과 표현력 친 공간 추론력을 기르는 데 유용하며, 게임적인 요소가 포함된 퍼즐은 지필에 의존해 왔던 수학학습에 대한 부정적인 인식을 해소하는 데 크게 기여할 것이다. 본 고에서는 수학 퍼즐의 종류 및 특성과 교육적 가치에 대해서 개괄적으로 살펴보고, 실제 프로그램 작성을 위한 정보를 제공과 영재들의 공감 감각을 기르기 위한 프로그램의 원을 이용한 수학 퍼즐의 개요를 제시한다.

• Communications of Mathematical Education
• /
• v.18 no.2 s.19
• /
• pp.371-382
• /
• 2004

Kamii는 피아제의 발생론적 인식론이란 이론을 모태로 수학을 지도해야 학습자가 수학을 이해를 바탕으로 학습할 수 있다는 믿음을 지니고 있다. 본고에서는 Kamii가 이런 신념을 갖고 실시한 수업을 녹화한 비디오 자료에 나타나는 특징을 분석하였다. 첫 번째 특징은, 교사가 가르쳐야 할 지식을 직접적으로 지도하지 않는 대신에 학습자가 스스로 지식을 구성할 수 있도록 매개자의 역할을 한다는 점이다. 두번째, 기저지식으로서 학습자의 비형식적 지식을 학습자가 적극적으로 활용할 수 있도록 허용하는 분위기이다. 세 번째, 두 번째와 관련되어서 학습자의 사고과정은 성인이나 학문적 체계에서 운용되고 있는 사고 흐름과는 다르다는 것을 인정해 준다. 네 번째, 교사의 역할이 가르쳐야 할 지식을 가르치는데(전수하는데) 있는 것이 아니라 학습자들이 생성해 낸 여물지 않은 아이디어들을 익힐 수 있도록 환경을 조성하는데 있다. 다섯 번째, 학습자마다 기저지식이 다르기 때문에 동일한 학습주제라 할지라도 이해의 폭과 깊이가 다르다. 따라서, 전체학급을 대상으로 하는 수업 중이라 할지라도 개별적 학습을 염두에 두어야 한다. 학생들의 수학적 이해력이 저하된다는 염려의 목소리가 높아지고 있다. 이는 학생들이 이해를 바탕으로 한 수업을 받아 보지 못하기 때문이며, 이런 원인은 아마도 교사 자신이 이해를 바탕으로 한 수업 경험이 간접적으로든 직접적으로든 없기 때문일 것이다. Kamii가 실시한 수업이 학생 스스로 수학을 학습할 수 있다는 구성주의 원리를 적용한 성공적인 사례이며, 이와 같은 방향으로의 교수법의 변화가 있기를 기대한다.

• Communications of Mathematical Education
• /
• v.27 no.3
• /
• pp.283-299
• /
• 2013

Mathematics textbooks based on storytelling in elementary schools started to apply a new method of teaching math to the first and second grade students from this year. By surveying the actual responses of both in-service and pre-service teachers, this study aimed to find out critical opinions to assist future math teachers. The survey was conducted among 124 in-service teachers and 112 pre-service teachers, asking what they needed for the understanding of the storytelling theory and for the preparation of actual lessons. After analyzing data, we concluded that in-service teachers have more positive opinion about the efficiency of teaching and learning mathematics based on storytelling, but more negative opinion about the appropriateness of storytelling as a means for teaching and learning mathematics than the pre-service teachers in elementary school. The in-service elementary teachers also want to have well-organized teaching resources for storytelling and development. Through a lot of training, more and more creative ways of applying the storytelling method can be learned and concrete presentations of real lessons need to be shared. Approximately 87% of pre-service teachers believe the storytelling method is a necessity in teaching math.

• Communications of Mathematical Education
• /
• v.30 no.4
• /
• pp.499-514
• /
• 2016

As people get to aware that the traditional teacher-centered education can not develop individual students' diversity and creativity and cope with the rapidly changing future society, Korean government has emphasized the learner-centered education since the 7th curriculum. Under this background, we have analyzed the problems of mathematics education that teachers recognized and the features of mathematics textbooks that they developed within the framework of leaner-centered education on the basis of the resources developed from 'Student-centered mathematics textbook improvement teacher research group in 2015.' As a result of using the framework of 'Learner-centered psychological principles (APA, 1997)' for analysis, teachers pointed out the problems related to the principles of Motivational and emotional influences on learning, Individual differences in learning, Developmental influences on learning, Nature of the learning process, and Construction of knowledge, in order. The features of textbook teachers developed reflected the principles of Nature of the learning process, Construction of knowledge, and Motivational and emotional influences on learning, in order. Finally, as we have compared teachers' recognition of the problems with the features of the textbooks developed, most of the problems teachers recognized are reflected in the textbooks; however, the Cognitive and metacognitive factor takes higher possession on the textbooks compared with the problems being recognized, and the Motivational and affective factor takes lower possession on the textbooks compared with the problems being recognized. Accordingly, we have been able to search for the solution to realize the learner-centered education through math textbooks.