• The Mathematical Education
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• v.41 no.3
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• pp.329-339
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• 2002

This study analyzes the epistemological meaning of‘social construction’in mathematical instruction. The perspective that consider the cognition of mathematical concept as a social construction is explained by a cyclic scheme of an academic context and a school context. Both of the contexts require a public procedure, social conversation. However, there is a considerable difference that in the academic context it is Lakatos' ‘logic of mathematical discovery’In the school context, it is Vygotsky's‘instructional and learning interaction’. In the situation of mathematics education, the‘society’which has an influence on learner's cognition does not only mean‘collective members’, but‘form of life’which is constituted by the activity with purposes, language, discourse, etc. Teachers have to play a central role that guide and coordinate the educational process involving interactions with learners in this context. We can get useful suggestions to mathematics education through this consideration of the social contexts and levels to form didactical situations of mathematics.

• Journal of Digital Convergence
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• v.19 no.1
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• pp.1-10
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• 2021

The purpose of the study is to investigate the impact and analyze the effect of smart learning based class to on the students with low academic achievement level. The study performed in G University in 2018 among students taking calculus II class. It includes 16 students with low academic achievement level, whose grades were under C in the previous calculus I class. They belonged to special class consisted of very low academic achievement level and had to pass calculus II. 3D and AR were actively used in the class. The result shows that they got visual understanding of space, which revealed through analyzing SNS, mid-term and final examination, lecture evaluation. Also, smart learning based mathematics class utilizing smartphone's application elevated academic achievement level and influenced positively on the interest and attitude toward mathematics regardless of previous academic achievement level.

• Communications of Mathematical Education
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• v.28 no.3
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• pp.395-422
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• 2014

In this paper, we obtain the step inteaching high school leve-based class utilizing cooperative learning lessons using level-type tutoring to improve academic achievement and mathematics attitudes. The details are as follows. First, we develop the teaching and learning model for the level-type instructional development and for the application to project work. Second, we seek to height academic achievement by applying the level-type work sheets in conjunction with cooperative learning. For this problem, we will focus on the following issues. First, how will you using level-type tutoring level TAI cooperative learning in order to improve academic achievement and develop the learning ability in mathematics? Second, how can you step utilizing TAI instructional level of cooperative learning in mathematics classes to improve mathematics learning attitudes? Third, how will you some reaction step work sheets utilizing level TAI cooperative learning of students for mathematics. Results of this study are as follows. First, in the experimental group compared to the comparison group was improved academic achievement. Second, in the experimental group compared to the comparison group learning attitudes could help. Third, the level of cooperative learning instructional model utilizing the TAI in the experimental group compared to the comparison group represents a significant response was seen.

• Education of Primary School Mathematics
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• v.24 no.1
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• pp.1-20
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• 2021

Factors influencing mathematics academic achievement are constantly changing and have direct and indirect effects on mathematics achievement, so longitudinal studies that can predict and analyze their growth are needed. This study uses longitudinal data on students from 2011 (5th grade of elementary school) to 2015 (2nd grade of middle school) of the Seoul Education Longitudinal Study, and divides them into groups with similar longitudinal changes in mathematics academic achievement. The direct and indirect effects of learning attitudes and achievement goals were examined. As a result of the study, it was found that learning effort and learning attitude had a direct effect on mathematics achievement in 1 group (2277 students, 67.7%), and learning attitude had a direct effect on mathematics achievement in 3 groups (958 students, 28.5%). And it was found that learning effort h ad an indirect effect. In addition, it was found that both learning attitudes, learning efforts, and achievement goals had no effect on the academic achievement of mathematics in the second group (127 students, 3.8%).

• The Journal of the Korea Contents Association
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• v.16 no.9
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• pp.211-224
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• 2016

The purpose of this study were to devise prerequisite learning reminding model to elementary mathematics classes and actually apply it to fifth graders in experimental lessons, thus investigating their effects on mathematics academic achievement and self-efficacy. the study conducted a pre and post test to measure academic achievement and self-efficacy on the experiment and control group. the finding were as follows. First, the study found significant differences in mathematics academic achievement between the experiment and control group. mathematics lessons based on the prerequisite learning reminding model resulted in no significant differences among the upper and lower level groups. Secondly, the study analyzed the effects of prerequisite learning reminding model on the self-efficacy and found significant differences in self-efficacy between the experiment and control group. While there were no differences in self-confidence and preference for task difficulty among the subarea of self-efficacy, it had positive differences effect on self-regulation efficacy.

• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.323-340
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• 2007

This study set out to analyze the learning types that most students were engaged in after school, to review the efficiency of private education through academic institutions or tutoring, and to examine the directions in the after-school learning in math under the current system. It also aimed to analyze the impacts of those after-school learning activities on school classes and to suggest some plans to help public education get back on the track. In the study the after-school learning activities in the math subject were categorized into taking classes at academic institutions, tutoring, and autonomous learning. The grades of the subject students were compared and analyzed for three semesters to find the directions right for the school classes.

• Education of Primary School Mathematics
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• v.26 no.3
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• pp.199-217
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• 2023

Affective characteristics have been consistently emphasized in mathematics education, but students' confidence or interest in mathematics has not changed significantly. This study analyzes the factors affecting the affective characteristics according to students' academic achievements, which have not been studied so far. The study was surveyed 593 students in the 5th and 6th grades, divided into school mathematics education and social-environmental factors. As a result of the study, students cited 'mathematics class at school' as the factor that had the most influence on their affective characteristics, regardless of academic achievement. Excluding 'mathematics classes at school', upper level students said that 'private education' and 'college entrance exams and jobs', had the most influence on their affective characteristics. Middle level students said that 'assessment at school' and 'private education' had the most influence on their affective characteristics. Lower-level students said that 'school evaluation' and 'mathematics textbook' had the most influence on the affective characteristics. In particular, as the academic achievement level decreased, students' participation in classes decreased rapidly. Most students said that the mathematics content they were learning was too difficult for that reason. Considering these research results, it would be effective to apply methods according to students' academic achievement to some extent in order to improve affective characteristics.

• The Mathematical Education
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• v.40 no.2
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• pp.179-194
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• 2001

The seventh curriculum put into operation gradually from first-year student in 2000 academic years of elementary school is subject to form and apply a step-wise level curriculum. Mathematics(correspond to junior high school course from 7th school year to 9th school year) should apply a step-wise level curriculum from 7th school year in 2001 academic years. Accordingly, mathematics teachers must diagnose actual conditions of educations, distribution tables of test results, step-wise teaching-studying programs etc. They also make proper plans suitable for actual situations of each school, prepare appropriate teaching materials and aids. I investigated preceding studies planned for preparation of putting into operation of a step-wise level curriculum. It showed that most of the studies were conducted at schools of medium or large scale and studies conducted at schools of small scale was rare. There were 113 small scale middle schools out of total 297 middle schools in Kyongsangbuk-do area in 2000. In this situation, I felt necessities of modeling of a step-wise level curriculum suitable for small scale schools. In this study, I modeled a step-wise level curriculum suitable for small scale middle schools, applied this model to 44 students in M middle school. I modeled two types of curriculum. One is a step-wise level curriculum that execute special supplementation process to students who do not complete 7-가 step successfully. The other is a step-wise level curriculum which is a regular model for a step-wise level of 7-나 step. I carried out an academic achievement test and intimacy test about mathematics before and after the application of the model. In this study, I found out that this model was very effective in academic achievement of students and helpful to declined students in scholarship. In the intimacy test, It was found out that most of the students gained confidence in mathematics, felt less anxiety, formed positive self consciousness. Therefore, I think that this model will be helpful to the application of the seventh step-wise level curriculum.

• Journal of the Korean School Mathematics Society
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• v.26 no.2
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• pp.87-110
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• 2023

This study aimed to proposed repeated reading aloud, which combines repetitive reading and reading aloud, as a method for teaching and learning mathematics. We investigated the effect of repeated reading aloud on students' academic achievement and cognitive load, and explored the implications of repeated reading aloud as a method for teaching and learning mathematics. To this end, we conducted a case study involving repeated reading aloud for two units: the limit of a function and the number of cases. The study targeted four 9th-grade students and four 10th-grade students, analyzing how their academic achievement and cognitive load changed. As a result, the eight students showed positive changes in academic achievement and cognitive load as the repeated reading aloud accumulated. When comparing the units, the academic achievement was lower for the limit of function than the number of cases. In terms of cognitive load, students exhibited higher cognitive load in the unit on the limit of function. When compared cognitive load by grade, there was no significant difference after 3rd repeated reading. However, in both units, the academic achievement of four 10th-grade students was higher than that of four 9th-grade students. Nonetheless, the gap narrowed as the reading aloud was repeated.

• Communications of Mathematical Education
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• v.34 no.3
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• pp.325-354
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• 2020

This study utilized longitudinal data from the 2013 year (Secondary Middle School) to 2017 year (Secondary High School) of the Seoul Education Termination Study. Using the latent growth model and the piecewise growth model, we investigated the changes in mathematics academic achievement, internal factors(self-concept, self-control, self-assessment of life satisfaction), and external factors(school climate, guardians) as students' grades increased, and examined whether internal factors and external factors influence the changes in mathematics academic achievement. We examined whether internal and external factors influence the change in academic achievement. As a result of analysis, it was found that mathematics academic achievement remained unchanged from the first grade of middle school to the second grade of middle school, and steadily increased from the second grade of middle school to the first grade of high school, and then decreased slightly in the second grade of high school. The internal and external factors had little change. It has been found that self-concept, self-control as internal factors, and school climate as external factors influence changes in mathematics academic achievement.