• School Mathematics
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• v.1 no.1
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• pp.367-382
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• 1999

• Journal of Educational Research in Mathematics
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• v.17 no.1
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• pp.33-50
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• 2007

Positive attitude toward mathematics is gaining bigger recognition as an important contributing factor to mathematical ability. As a strategy for strengthening affective domain and betterment of mathematics teaching and loaming, classifying students by their causes for liking or disliking mathematics can be an effective way In this study the author tried to devise methods to classify students by their types of math disliking and investigate correlations between mathematical achievements and these math-disliking types from a sample group of 8th graders. To identify the types of reasons why 8th graders dislike mathematics, a questionnaire with 30 items was made firstly. Then by applying the 'Factor analysis' of SPSS, the 30 items were divided into five partitions. Through abstraction of each partition, five math-disliking types, 'Competences', 'Basics', 'Confidences', 'Usefulness', and 'Teachers' were defined. They are expected to help teachers for describing each student's tendency of math-disliking. Further, correlation coefficients between mathematical achievements and each of the five math-disliking type were investigated against 4 groups which were made from sample group by the discrimination of gender and two levels (high and low) of mathematical achievements in cognitive area. As results, the following facts were found. (i) The trends of correlations between cognitive achievement and the five math disliking types were different across the 4 groups at statistically meaningful degrees. (ii) Most of the male students who had math-disliking types were proved to be in the low achievement level. But for the female students, only 50% of students who had math-disliking types were in the low achievement level. (iii) Compared to male students, higher portion of female students had math-disliking types despite their high achievement in cognitive area.

• East Asian mathematical journal
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• v.28 no.4
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• pp.435-451
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• 2012

In this paper, we carry out personal lessons in order to improve the problem-solving abilities of students who have a low level of university general mathematics, and find the efficient teaching method of the personal lessons by analyzing the mathematic achievement of the participating students.

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.281-302
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• 2015

In the current study, answer sheets from 8007 students in 236 Korean schools were selected and analyzed to examine errors that emerge in the process of solving descriptive questions of the National Educational Achievement Assessment in mathematics. Questions used in the analysis were response assessment covering middle school mathematics topics: "mathematical symbols and equations" and "functions." The behavioral domain of the questions was that of "problem solving and computation," which requires establishing an equation for a word problem and allows the calculation of an answer that meets a certain condition. The analysis results revealed various errors in each stage of each question, from understanding to solving; the study attempts to conjecture causes for these errors and draw pedagogical implications.

• Journal of Science Education
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• v.36 no.1
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• pp.14-21
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• 2012

We investigated the relationship of brain dominance with mathematics and science achievement. The participants were 131 middle school students (male: 74, female: 57). It was found that the above average group in mathematics and science achievement had the highest frequency with left lower brain (LLB) (mathematics: 33.8%, science: 35.0%), whereas the below average group in mathematics and science achievement had the highest frequency with right lower brain (RLB) (mathematics: 38.7%, science: 36.1%). The LLB score showed a significant difference between the above average group and the below average group in science (p<.05). In the correlational analysis, the LLB scores had the highest correlation coefficients (mathematics: r=.28, science: r=.26). The LUB scores had the second highest correlation coefficients (mathematics: r=.18, science: r=.24). These results suggest that LLB and LUB are related to mathematics and science achievement. Therefore, we insist that the assessment of mathematics and science achievement should consider brain dominance.

• Education of Primary School Mathematics
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• v.19 no.1
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• pp.31-45
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• 2016

In this study, the case of error became the object of learning, and the investigator applied these cases to an actual class and established three study problems in order to achieve the purpose of this study. The results of analysis of students' errors in figure based on before achievement test are shown as follows: First, the most errors occurred in the figure was the ones from deficient mastery of prerequisite concepts and definitions. Specially, the errors from deficient mastery of prerequisite concepts and definitions have the majority. it is very high ratio even if it considers an influence of an evaluation question item. so, I think it is necessary to teach concept related figure above all. Second, as the results of application 'finding errors' to a class, there is a meaningful difference in the mathematical achievement and reasoning ability within significance level 5%. This means 'finding errors' is one of the teaching method that it develops the mathematical achievement and reasoning ability.

• Communications of Mathematical Education
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• v.32 no.3
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• pp.385-406
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• 2018

The purpose of this study is to investigate the effect of mathematics classes focused on mathematical problem posing activities on 10th grade students' mathematics achievement and affective characteristics of mathematics. This study was conducted in a total of 45 regular mathematics classrooms with 81 students from two classes through a nonequivalent control group design. The results of the study showed that the teaching method based on mathematical problem posing activities had a more positive effect on students' mathematics achievement and the affective characteristics of mathematics than the teaching method that focuses on problem solving. The teaching method based on problem posing activities proposed in this study could induce students' self-reflective learning motivation, which in turn gave them a more solid understanding of the mathematical concepts they had learned. In addition, it was found that students' problem solving ability, mathematical communication ability, and mathematical thinking ability were positively influenced by problem posing activities. Regarding the affective characteristics of mathematics, the mathematical problem-posing activity suggested in this study turned out to be a very effective strategy for improving students' interest in mathematics.

• Communications of Mathematical Education
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• v.27 no.4
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• pp.473-486
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• 2013

This study examines the learning styles of freshmen enrolled in a college of science and engineering, and analyses the relationship between learning styles and academic achievement in mathematics to provide basic data for the teaching-learning methods, which are more suitable to learning styles of students. For the purpose of this research, a reliability analysis of Kolb's LSI is applied to 282 freshmen enrolled in a college of science and engineering of the medium-sized university. The outcomes of this survey are followings. Firstly, students hold higher positions in the order of converger, assimilator, accommodator, diverger among 4 learning styles. Secondly, while there is a positive corelation between abstract conceptualization[AC] and academic achievement, there is a negative corelation between concrete experience[CE] and academic achievement. Thirdly, as for academic achievement in mathematics, converger is superior to assimilator and accommodator. Finally, the correlation between learning styles and academic achievement is different by demographic characteristics. Based on these results, this study suggests the necessity for various teaching-learning strategies, which are adjusted to both academic characteristics of mathematics and learning styles. Also, the need for teaching methods, which help students to develop effectively four learning cycles, is proposed.

• Education of Primary School Mathematics
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• v.16 no.3
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• pp.303-313
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• 2013

Spatial ability has been valued as one component of intelligence and associated with the achievements in science, technology, engineering, and mathematics (STEM) disciplines and important in STEM education. The purpose of this study is to assess elementary school students' spatial ability and analyze the relationship with mathematical achievement, gender and grade level. This study explored the spatial visualization ability of 1288 elementary school students (grade 4-6) in Seoul and Gangwon province and investigated association between spatial ability and students' mathematics achievement, the students' spatial ability according to their gender and grade level. As a result, this study showed that there were significant correlations between spatial ability and mathematical achievement. And also, boy students were better than girl students in spatial ability and higher grader were better than lower graders in spatial ability. According to these results, spatial ability should be included as one of the important components in identifying students for gifted education programs. Furthermore, more research is needed on how to effectively structure educational opportunities to students both who have high spatial ability and have low spatial ability.

• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.863-882
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• 2013

Shanghai has been reported as the highest performing countries(economies) in PISA 2009 and PISA 2012. In this reason, we reviewed literatures related to educational system of Shanghai focusing on the mathematics education. Additionally, we analysed the results of PISA 2009 of mathematics domain between Korea and Shanghai to compare some differences between two countries. As a result, we discovered the followings: 1) Comparing with Shanghai students, Korea students attained low performance in every sub-categories of mathematics abilities indicated in the PISA framework. 2) In PISA 2009 Framework, Korea students produced low achievement than Shanghai students in sub-categories of "reflection". 3) In PISA 2012 Framework. Korea students attained low performance than Shanghai students in sub-categories of "formulating". Consequently, it gave us insight into the idea that school mathematics in Korea should use authentic context to help students improve their competencies "reflection" and "formulating".