• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.425-457
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• 2006

The purpose of this paper was to analyze a teacher's questioning in the learner-centered mathematics lessons and investigate its effects on the construction of learner's knowledge. For this study, it is analysed that the teacher's questioning in the 3 observed learner-centered lessons concerning elementary division topic. The study results showed that the characteristics of the teacher's questioning were respecting of learner's informal mathematical thinking, open-ended questioning for divergent thinking, appropriate questioning at every group, and respecting classroom norm. Teacher's questioning affects the quality of learner's mathematical thinking and his or her attitude toward mathematics.

• Education of Primary School Mathematics
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• v.19 no.1
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• pp.79-112
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• 2016

The purpose of this research is to find the effects of learner-centered instruction based on constructivism (LCIC) on their knowledge generation level and reasoning ability. To look for them, after fraction units are re-planed for implementing LCIC, instructions using it provide students in a class. From the data, some conclusions can be drawn as follows: LCIC has more positive influence of students on recall ability, generation ability, and reasoning ability than tractional instruction method. With the data it can be said that the interaction exists between learners' reasoning ability and generation level.

• Education of Primary School Mathematics
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• v.15 no.3
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• pp.189-199
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• 2012

In reality, learner-centered instruction's real worth has not been exposed when implementing instructions using elementary mathematics textbooks developed for the execution of learner-centered instruction, since the 7th national curriculum were revised in 1997. Therefore, some characteristics have been looked into appropriate for fulfill it. It would be expected that instructional materials are developed which is reflected on the characteristics in revising next national curriculum and developing elementary mathematics textbook.

• School Mathematics
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• v.10 no.1
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• pp.105-121
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• 2008

Even though the 7th national curriculum based on learner-centered instruction as fundamental spirit has been operated for 10 years or so, still the instruction style nation widely implemented in current classrooms is closer traditional style than it. It is a big challenge for a teacher who is used to a traditional one to try to fully make learner-centered instruction. The paper describes the teacher's cognizance change on it with the point of views of children's ability to construct knowledge, instructional materials, questioning techniques, and children's achievements.

• Education of Primary School Mathematics
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• v.24 no.1
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• pp.43-69
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• 2021

The purpose of this study is to confirm the influences of learner-centered instruction on learners' achievement and reason ability. In order to accomplish them, the fraction unit and the polygonal unit in the fourth grade were implemented with teaching methods and materials suitable for learner-centered mathematics instruction. Some conclusions could be drawn from the results as follows: First, learner-centered mathematics instruction has a more positive effect on learning of learned knowledge and generating unlearned knowledge in the experimental period than teacher-centered instructions. Second, learner-centered instruction makes an influence of low learning ability on getting achievement positively. Third, as the experimental treatment is repeated, learner-centered instruction has a positive effect on students' reasoning ability. The reasoning ability of students showed a difference in the comparison between the experimental group and the comparative group, and within the experimental group, there was a positive effect of the extension of the positive reasoning ability. Fourth, it can be estimated that the development of students' reasoning ability interchangeably affected their generation test results.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.1
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• pp.135-151
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• 2010

The purpose of this study is to investigate the effect of learner-centered instructions using instructional materials which are developed in the light of constructivism and implementing practices of the instruction. According to the result of Recall Test, experimental group and comparing group have not statistically meaningful difference. However, in the result of Generation Tests which include the contents not dealt with during the experiment treatments, the two groups have statistically meaningful difference. It can be drawn from the result that students who take learner-centered instruction are in a good readiness for learning of the contents which will be addressed in future.

• Journal of the Korean School Mathematics Society
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• v.16 no.1
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• pp.31-61
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• 2013

The purpose of this study is to confirm constructivists' assumption that when a little low level learners are taken in learner-centered instruction based on a constructivism they can also construct knowledge by themselves. To achieve this purpose, the researchers compare the effects of learner-centered instruction based on the constructivism and teacher-centered instruction based on the objective epistemology where second graders learn multiplication facts through the each treatment on learners' reasoning ability and achievement. Some conclusions are drawn from results as follows. First, learner-centered instruction based on a constructivism has significant effect on learners' reasoning ability. Second, learner-centered instruction has slightly positive effect on learners' deductive reasoning ability. Third, learner-centered instruction has more an positive influence on understanding concepts and principles of not-presented mathematical knowledge than teacher-centered instruction when implementing it with a little low level learners.

• Communications of Mathematical Education
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• v.18 no.2 s.19
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• pp.371-382
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• 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
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• v.22 no.1
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• pp.41-52
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• 2008

In this paper, some factors such as the perspective of children, instructional materials(especially activities in textbooks for elementary school mathematics), and teacher's questioning styles are discussed as ones influenced on students' immersion in leaner-centered instruction. This discussion is based on the author's two implementations of the kind of two instructions. About the first theme, constructivists assert that even children who are in elementary school can have reflective abstracting ability. Teachers' asking questions with the belief differ from ones with traditional perspective of children, which is relevant the third factor. They value and respect learners' thinking outcomes, even though they are not sometimes wrong and have errors. Also, they have them opportunities to think different from others and to ask how they get their answers. To do these, they frequently ask open-ended questions, not closed. All of them is possible through the activities provided in textbooks. Some characteristics which can prompt such teacher's questions using activities in elementary mathematics textbooks are discussed.

• The Mathematical Education
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• v.60 no.4
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• pp.493-508
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• 2021

This study aims to examine the effects of learner-centered mathematical instruction perceived by middle school students such as discussion learning, self-directed learning, and cooperative learning on their math self-efficacy and engagement in mathematics class. Moreover, it attempts to verify if there are differences in the mean of latent variables and effect among groups divided based on achievement level. Research results are as follows. First, discussion learning did not have a direct effect on students' engagement in mathematics class, but still created an indirect effect on it through math self-efficacy. Self-directed learning and cooperative learning created a direct effect on engagement in mathematics class as well as an indirect effect through self-efficacy on mathematics. Second, high-achievement group had a higher perception of discussion learning, self-directed learning, and cooperative learning than a low-achievement group, and showed a higher level of math self-efficacy and engagement in mathematics class. Third, there were significant differences among groups, in the effect of discussion learning on self-efficacy in mathematics, effect of self-directed learning on self-efficacy in mathematics, and effect of math self-efficacy on engagement in mathematics class. Thus, this study offers meaningful implications for the role of math teachers as assistants in learning for learner-centered math classes.