• School Mathematics
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• v.7 no.1
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• pp.77-101
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• 2005

This study is a discussion of the teaching and learning of discrete mathematics in school mathematics. In this study, we summarized the importance of discrete mathematics m school mathematics. And we examined instruction methods of discrete mathematics expressed in the 7th mathematics curriculum. On the basis of analysis for teaching cases in previous studies, we proposed four suggestions to organize discrete mathematics classroom. That is as follows. First, discrete mathematics needs to be introduced as a mathematical modeling of real-world problem. Second, algorithm learning in discrete mathematics have to be accomplished with computer experiments. Third, when we solve a problem with discrete data, we need to consider discrete property of given data. Forth, discrete mathematics class must be full of investigation and discussion among students. In each suggestion, we dealt with detailed examples including educational ideas in order to helping mathematics teacher orgainzing discrete mathematics classroom.

• Journal of the Korean School Mathematics Society
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• v.7 no.1
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• pp.71-81
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• 2004

This study aimed at analyzing the real situations and problems related to the performance assessment and surveying the relationship between performance assessment and teaching-learning in schools. Especially, It focused on the performance assessment through ICT teaching method. Next, by suggesting performance assessment patterns in Math, this study tried to approach solution as follow: difficulties in setting up evaluation items, objectiveness or impartiality in evaluation, complexity in putting them into practice, time modulation related to evaluation, reduction of teachers' heavy burden in teaching and achievement to specific aims in each period. Finally, some suggestions were made as follow: more concerns and efforts were needed to establish better math teachers and physical environment with regard to teaching math in schools.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.907-935
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• 2010

The purpose of this study was to investigate the effects of using open-ended problems in ability-level activities in mathematics instruction and to draw some informative conclusions in order to improve the practice of teaching and learning mathematics in the elementary school. To fulfill the purpose, the research questions were established as follows: 1. Is there any difference between the academic achievements of the experimental group(doing ability-level activities using open-ended problems) and the control group(doing general ability-level activities)? 2. Which sub-group(grouped by achievement score in pretest) get affected most by ability-level activities using open-ended problem in the experimental group? 3. What kinds of responses do students show in their ability-level activities using open-ended problems? By applying t-test and analysing the response, the conclusions were drawn as follows: First, using open-ended problems in ability-level activities has positive effects on the academic achievement of the experiment group. The mean of posttest scores of the experiment group was statistically meaningfully higher(p<.05). Second, using open-ended problems in ability-level activities affect most to the achievement of lower sub-group in the experiment group. The mean of posttest scores of lower sub-group in the experiment group was statistically meaningfully higher than that of control group(p<.05). Third, students showed various and creative response in their ability-level activities using open-ended problems.

• The Mathematical Education
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• v.61 no.4
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• pp.631-651
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• 2022

It has been alerted that Korean students' mathematical affective achievement is very low. In order to solve this problem, various policies related to mathematical affective domains have been promoted, but it is necessary to examine various existing policies and explore the direction for improving them in more essential aspects. Based on previous studies that the growth mindset helps to increase students' affective achievement, this study focused on improving students' math-related growth mindset and ultimately exploring policies that can increase mathematical affective achievement. Therefore, the current status of mathematical affective achievement of Korean students was examined, and the policies and related cases in the mathematical affective domain were investigated. Based on the results, some keywords were derived and then the directions of policy for improving the math-related growth mindset and the affective achievement of students were suggested.

• Education of Primary School Mathematics
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• v.19 no.3
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• pp.249-260
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• 2016

The purpose of this study was to analyze the effectiveness of an instruction to enhance students' questioning, that is 'mathematics instruction with students' question using question card' In order to achieve the goal of this study, research questions were established as follows. Is there any significant improvement on perception of mathematics classroom culture through 'mathematics instruction with students question using question card' Is there any significant improvement on mathematics learning attitude through 'mathematics instruction with students question using question card' The findings of this experimental results were obtained as follows. There was significant statistical difference in perception of mathematics classroom culture between the experimental group and control group. It also shown that instruction with students' questioning improved participants' mathematics learning attitude. In conclusion, the instruction with students' questioning using question card can be effective teaching strategy of improving students' perception of mathematics classroom culture and mathematics learning attitude.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.441-463
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• 2010

This study purposes to examine the learning achievements, attitude and reactions of elementary school students in fifth grade in mathematics after inducing to use of learning-notebook on mathematics. To achieve the purpose, this study focuses on the following matters. First, we develop the ways to write thoughts and activities in solving problems on learning-notebook for elementary school student in fifth grade. Second, we analyze the effects of the students' learning achievements after applying the ways to them in every mathematics learning activities at home and in school, etc. Third, this study examine the attitudes and reactions of the students toward mathematics after observing the learning activities and interviewing them. The results are summarized as follows. First, using learning-notebook helps to improve the performance of students. The average point of the final examination went up to 90.67 while the average of the first level test was 70.75. And almost each student's result have improved. Second, the interviews with the students show that they feel sense of accomplishment, their mathematical attitude has changed to be positive, and they've actively participated in class by using the learning-notebook. The students felt confidence and achievement and they were more interested in studying mathematics when they use the learning-notebook. Further, the students used the notes in doing their homework and at home studying. Finally, the learning-notebook had a good influence on the relationships between students and teachers. Moreover, learning-notebook serves as a medium that connects teacher and student's work.

• Communications of Mathematical Education
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• v.32 no.4
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• pp.495-517
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• 2018

This paper is based on the effects of Zone of Proximal Development and scaffolding theory of social constructivist, Russian psychologist Vygotsky. He insisted that a social interaction play a fundamental role in the development of cognition. This study is to examine the efficient of the scaffolding types in Math class. The ZPD is the distance between a student's ability to perform a task under adult guidances or with peer collaboration and the student's ability solving the problem independently. To conduct the research was grouped into an experimental first grader five students in H high school in Y county. After class, students were questioned through Semi-structured interviews. The results of this study are below. First, Students were satisfied with the class mixed micro-scaffolding types and Macro-scaffolding types and improved their math thinking ability and the ways of solving problems. Second, The results of the class showed that students' ability to perform a task was transferred to the higher level through the help of a teacher or peers. Students could have more time to listen to peers' opinions and to say their own thoughts freely than they were under the lecture method instruction. Third, Students were interested in math through the experimental class. That's because the appropriate help of the scaffolding type, a cooperate study, relative with real life, using an engineering tools. They made a change of perception.

• Communications of Mathematical Education
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• v.27 no.2
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• pp.99-119
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• 2013

This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.

• Communications of Mathematical Education
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• v.27 no.4
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• pp.581-609
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• 2013

Students' learning processes and mathematical levels should be correctly diagnosed in many different methods of assessment to help students learn mathematics. The study developed the model for the process-based assessment while using manipulatives in the middle school in order to improve problem solving, reasoning and communication which are emphasized in 2009 reformed curriculum as the areas of mathematical process. Identifying the principles of assessment, we created the assessment model for each area and carried out a preliminary study. Based on this, we revised the representative items and the observation checklist and then conducted a main study. Through the results of assessment, we found that students' thinking processes were well presented in scoring rubric for their responses on each item. It meant that the purpose of the assessment as a criterion-referenced test was achieved.

• Education of Primary School Mathematics
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• v.20 no.2
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• pp.131-142
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• 2017

The purpose of the study is to examine the effect of debate and discussion instruction in mathematics class on mathematics study achievements and attitudes in elementary school. To conduct the research, two classes were verified as the homogeneous groups by a preliminary examination on the fourth grade of J elementary school. After mathematics class, the subjects were conducted the same mathematics study achievement and attitude tests in two groups and were analyzed with descriptive statistics, independent t-test, t-test. Accordingly, debate and discussion instruction in mathematics class is more effective than regular lecture method instruction. debate and discussion instruction in mathematics classes are believed students will participate in the question and understand the mathematical principles and concepts themselves through action to solve the problem and influenced I have a positive attitude towards mathematics.