• Journal of the Korean School Mathematics Society
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• v.14 no.2
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• pp.199-213
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• 2011

The factors contributing to learning can be broadly classified into four different groups; Learner's characteristic variable, Instructor's characteristic variable, Learning task characteristic variable and environmental characteristic variable. And the first thing we need to do here is understanding of learner's characteristics among those factors in order to devise a plan for education. Accordingly, the purpose of this study is to find out what impact the affective traits (self-concept learning habits learning attitude), one of the learner's features, have on the mathematics-learning achievement and to seek for a good teaching method with reference to elementary school students' learning accomplishments and attitudes. For this, a questionnaire survey was conducted of 78 students of two fifth-grade classes in an elementary school located in South Chungcheong Province in this study. In consequence, it has been shown that the mathematics-learning achievement has the greatest relevance to the self-concept in connection with mathematics followed by the self-concept in connection with learning, the learning habits relating to mathematics, the attitude towards mathematics, the learning habits concerning studies and the attitude towards learning.

• School Mathematics
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• v.13 no.2
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• pp.307-321
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• 2011

Recognizing the importance of affective factors in mathematical learning and achievement, international comparative assessment as PISA and TIMSS survey affective achievement as well as scholastic achievement. On the affective survey those items of PISA are categorized by 5 factors ; interest of mathematics, instrumental motivation, Mathematics self-efficacy, mathematics anxiety, mathematics self-concept) and those of TIMSS are categorized by 3 factors; Positive affect toward mathematics (PATM), Students' Self-Confidence in Learning Mathematics(SCM), and Students' Valuing Mathematics(SVM). In this study we carried out Exploratory Factor Analysis, Confirmatory Factor Analysis and Measurement Equivalence/Invariance to find whether the constructs are well defined and divided. As a result of our analysis, some factors were overlapped in PISA whereas the items of TIMSS were categorized as intended in TIMSS study. Based on these results, it is confirmed that the questionnaire items need to be developed to understand our students affective characteristics. Also, how questionnaire of large-scaled international assessment can give implication to the development of the questionnaire of Korean specific.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.109-135
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• 2012

In December of 2009, General Curriculum Revised in 2009 was announced and research on corresponding mathematics curriculum revision has been initiated from that period. Finally, in August 2011, Mathematics Curriculum Revised in 2009 was announced. In this new curriculum, Creativity is emphasized as the ability pursued in General Curriculum Revised in 2009. Accordingly, for the purpose of fostering students with creative and challenging minds, teaching and learning methods including the objectives and content should be more carefully implemented in math class. In case of the area of Probability and Statistics closely related to real life situations, it is suggested that school curriculum in mathematics would not deal with only mathematical problems on algorithm, but rather present teaching and learning materials related to the real life in order to recognize the usefulness of the content of Probability and Statistics and to learn how to think about it. In this paper, effective guidelines for teaching and learning the content of Probability and Statistics and its activities that follows the direction on Mathematics Curriculum Revised in 2009' are suggested based on the analysis of the PISA and TIMSS international assessments items. Thus, the guidelines suggested in this study would be used efficiently and appropriately for developing instructional materials or planning curriculum revision and setting its direction in the future.

• School Mathematics
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• v.15 no.2
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• pp.289-314
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• 2013

Achievement profile by attribute in Korean students' mathematics was analyzed by applying cognitive diagnostic model, which is the newest measurement theory, to 2011 NAEA(National Assessment of Educational Assessment) results. The results are as follows. As the level of school is higher from 6th grade, 9th grade to 11th grade, the percentage of students mastering cognitive attribute 9(expressions using picture, table, graph, formula, symbol, writing, etc) drastically declined from 78%, 35% to 26%. It is necessary to have learning strategies to reinforce their abilities of expressing table, graph, etc. that higher graders in mathematics are more vulnerable to. Next, the property of mastering cognitive attributes according to gender, multi-cultural family was analyzed. In terms of mathematics, the percentage of girls mastering most of the attribute generally is higher than that of boys from 6th grade to 9th grade, however, boys show higher mastery in almost attributes than girls in the 11th grade. Compared to boys, the part where girls have the most trouble is attribute 9 in mathematics(expressions using picture, table, graph, formula, symbol, writing, etc). As international marriage, influx of foreign workers, etc. increase, the number of students from Korea's multi-cultural families is expected to be higher, therefore, identifying the characteristics of their educational achievement is significant in reinforcing Korea's basic achievement. In mathematics, gap of mastery level of attributes between multi-cultural group and ordinary group is more severe in higher grade and the type of multi-cultural group that needs supports for improving achievement most urgently changed in 6th grade, 9th grade and 11th grade respectively. In the 6th and 11th grade, migrant students from North Korea show the lowest level of mastering attributes, however, in the 9th grade, the mastery rate of immigrant students is lowest. Therefore, there is an implication that supporting plans for improving achievement of students from multi-cultural family should establish other strategies based on the characteristics of school level.

• School Mathematics
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• v.8 no.2
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• pp.215-237
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• 2006

In this study, we research distinctive features of geometry problem solving of middle school students whose mathematical achievement levels are distinguished by National Assessment of Educational Achievement. We classified 9 students into 3 groups according to their level : advanced level, proficient level, basic level. They solved an atypical geometry problem while all their problem solving stages were observed and then analyzed in aspect of development of geometrical concepts and access to the route of problem solving. As those analyses, we gave some suggestions of teaching on mathematics as students' achievement level.

• Journal of Gifted/Talented Education
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• v.23 no.1
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• pp.49-65
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• 2013

The purpose of this study is to investigate the longitudinal impact of the engagement of private tutoring on student achievement and the influence of the engagement of gifted education on the effect of private tutoring by applying hierarchical linear growth modeling technique on the KELS (Korean Education Longitudinal Study) data. For the analysis, we used KELS data including the score of Mathematics achievement from 2005 to 2007 in order to get useful variables like whether or not to engage private tutoring, weekly time and monthly cost of private tutoring, the experience of gifted education, gender, prior achievement of 6th grade, parents' monthly income, internal motivation and self-efficacy. The sample consisted of 4,435 7th graders from Korean middle schools who were included in the KELS and have the data available to a significant dataset having no missing values include. The result suggest that the private tutoring experience predicted students' high Mathematics achievement and the interaction between grade and private tutoring time and cost has negative impact on the mathematics achievement. In contrast, it was found that the experience of gifted education has negative impact on the growth of mathematics achievement, but positive impact on the effect of private tutoring cost on the mathematics achievement. In other words, the experience of gifted education shows affirmative impact on the effect of private tutoring cost on the mathematics achievement indirectly. On the basis of this results, we discussed deeply the effect of private tutoring on the Mathematics achievement and the influence and its meaning of the experience of gifted education on the effect of private tutoring.

• Journal of Elementary Mathematics Education in Korea
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• v.13 no.2
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• pp.247-268
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• 2009

The purpose of this study was to examine the mathematical components of word problems and the structure of the components, to examine the characteristics of the understanding of mathematics high achievers about word problems, and ultimately to devise a teaching method geared toward facilitating learner understanding of the word problems. Given the findings of the study, the following conclusion was reached: First, word problems could be categorized according to their mathematical components, namely the mathematical structure of multiple variables provided to learners for their problem solving. And learner's reaction might hinge on the type of word problems. Second, the mathematics high achievers relied on diverse strategies to understand the mathematical components of word problems to solve the problems. The use of diverse strategies made it possible for them to succeed in problem solving. Third, identifying the characteristics of the understanding of the mathematics high achievers about word problems made it possible to layout successful lesson plans that stressed understanding of the mathematical structure of word problems. And the teaching plans enabled the learners to get a better understanding of the given word problems.

• The Mathematical Education
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• v.61 no.2
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• pp.359-373
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• 2022

This study aims to examine the differences in the longitudinal relationship between academic stress, mathematics self-efficacy, and engagement in mathematics class according to the math achievement level. According to the results, academic stress, math self-efficacy, and math class engagement were stable over time for the high and low groups. Also, In the high group, math self-efficacy had a negative longitudinal mediation effect in the influence of academic stress to math class engagement. Whereas, in the low group math class engagement had a positive longitudinal mediation effect in the influence of academic stress to math self-efficacy. This means that the academic stress affects differently according to the math achievement level, and mathematics teachers should reflect these results in their teaching/learning strategies so that students can increase their mathematics self-efficacy along with their engagement in mathematics classes.

• Proceedings of the Korea Society of Elementary Mathematics Education
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• 2010.08a
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• pp.35-48
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• 2010

• Communications of Mathematical Education
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• v.25 no.3
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• pp.593-606
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• 2011

We carried out mathematics diagnostic tests for all first year engineering students at C University in Daejeon in 2008, covering precalculus and basic calculus. Then we divided into two classes such as regular and supplementary classes. The supplementary class students are lower 13% students. Then we gave extra classes for these students to support their basic and elementary calculus skills. As a result, these supplementary students received a meaningful accomplishment at the final exam. This paper analyzes the results and effects of various types of supplementary classes such as education by level, and proposes some strategies to enhance mathematics learning, particularly for under achieving first year engineering students.