• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.1-23
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• 2020

The purpose of this study is to theorize the conceptualizations of educational interest focused on mathematics learning and to investigate the directions of increasing students' interest in mathematics. This study reconsiders the interest theory of Dewey, classification of situational interest and individual interest, and the experimental research of mathematical interest. The conceptions of educational interest on mathematics learning are as follows. First, mathematical interest refers to the total experiences that an individual feels the need to engage in mathematical objects. Second, making a distinction between situational interest and individual interest is effective in suggesting educational interventions in order to improve students' learning interest. Third, interest is characterized by affect, cognition, and value. According to the conceptions of educational interest on mathematics learning, this study suggests that we should develop or construct good mathematics tasks to increase students' interest in mathematics. Good mathematics tasks consider both students' understanding and students' affection and provide activity's goals or values to be noticed by students.

• Journal for History of Mathematics
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• v.33 no.1
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• pp.1-19
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• 2020

Under 2009 Revised Mathematics Curriculum and 2015 Revised Mathematics Curriculum, mathematics teachers can help students inductively express real life problems related to sequences but have difficulties in dealing with problems asking the general terms of the sequences defined inductively due to 'Guidelines for Teaching and Learning'. Because most of textbooks mainly deal with the simple calculation for the sums of sequences, students tend to follow them rather than developing their inductive and deductive reasoning through finding patterns in the sequences. In this study, we reconstruct 8 problems to find the sums of sequences in MukSaJipSanBup which is known as one of the oldest mathematics book of Chosun Dynasty, using the terminology and symbols of the current curriculum. Such kind of problems can be given in textbooks and used for teaching and learning. Using problems in mathematical books of Chosun Dynasty with suitable modifications for teaching and learning is a good method which not only help students feel the usefulness of mathematics but also learn the cultural value of our traditional mathematics and have the pride for it.

• The Mathematical Education
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• v.50 no.2
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• pp.247-261
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• 2011

In this study, the researchers developed an inventory which can measure the affective achievement in mathematical learning especially targeted to Korean students. By using EFA and CFA, the six affective factors of mathematical learning such as learning directivity, self control, anxiety, interest, cognizing value and confidence are distinguished. Also, the content validity of this inventory was examined by the experts groups, composed of mathematics education professors, high school mathematics teachers, and measurement experts. The reliability of the instrument was high enough to trust the results. Through a large scaled sampling, the reliability and validity of this inventory were verified. In addition, this inventory was developed not by a partial aspects of a certain theory but based on the recent theories. Due to these reasons, the results of this study can be respected that it plays a leading part in understanding the affective achievement of Korean students.

• The Mathematical Education
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• v.45 no.4 s.115
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• pp.381-406
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• 2006

This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

• Research in Mathematical Education
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• v.18 no.3
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• pp.209-221
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• 2014

In the last few decades there has been much interest in how mathematics can be effectively taught and learnt. The Third Wave is a unique ongoing international collaborative mathematics education research project, which aims to explore the relevant values of effective school mathematics teaching from both the teacher and student perspectives. As part of this project, this study investigates the related findings from students on the Chinese mainland. Multiple data were collected through classroom observations, focus group interviews, and written, open-ended questions. Twenty-four students from junior and senior secondary schools were invited to write down their views on an effective lesson, a good mathematics teacher, and how to do well in mathematics learning. Results showed that among the eight values determined in the study, the values of involvement, explanation, and examples were embraced by students across all grades. Students preferred teacher-led mathematics teaching. Junior secondary students placed more value on teachers' personalities, whereas senior students placed more value on teachers' teaching manners.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.1
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• pp.1-16
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• 2015

This study investigated the analysis of examples that gifted students' realizing the learning objectives through teaching method of the teacher's questions and advice. 6 gifted students were selected to be examined with 'magic square' in class. The teacher emphasized the learning objectives without directly proposing. Whereas, the teacher proposed the learning objectives by questioning and giving advice to students. After the class, the 6 gifted students were surveyed to answer about realizing the learning objectives of mathematics (about contents, process, and attitude in mathematics learning objectives). Mathematical gifted students thought about the process that consists of deductive thinking, analogic thinking, extensive thinking, creative thinking, and critical thinking. But, they underestimated the deductive thinking. So the teacher should develop the questions and advice to teach the mathematical gifted students according to the level of them. The high level of mathematical gifted students were able to realize the value and the importance of the mathematical attitude, while the low level of mathematical gifted students were able to realize them little. For this reason, the teacher should apprehend the level of the students, and propose materials and contents of the learning. The teacher should also make the gifted students realize value, will, and personality of mathematics by questions and advice. Lastly, like it is needed in general classes, there should be a constant researches and improvements about questions of the teacher that are appropriate to each student's learning abilities and cognition ability.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.133-152
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• 2004

In this paper, we discuss students' conceptual development of eigen value and eigen vector in differential equation course based on reformed differential equation using the mathematical model of mass spring according to historico-generic principle. Moreover, in setting of small group interactive learning, we investigate the students' development of mathematical attitude.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.187-201
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• 2017

The study in this paper, which is part of a bigger study investigating non-cognitive characteristics of Korean students at the 4-12 grade levels, aims to identify the influential characteristics that explain students' decision to give up on mathematics learning. We consider seven non-cognitive student characteristics: value, interest, attitudes, external motivation, internal motivation, learning conation and efficacy. Data were collected from 21,485 Korean students, and were analyzed with a logistic regression method using SPSS. The findings show that efficacy was the most significant indicator of students' decision to give up on mathematics learning in all three grade level bands: elementary (4th-6th), middle (7th-9th) and high (10th-12th). In particular, the causal model analysis shows that students who highly value mathematics tend to have stronger internal and external motivation, which bring about stronger interest and learning conation, which in turn lead to positive attitudes and strong efficacy regarding the learning of mathematics. It was further found that while external motivation was a significant indicator of upper grade level students' decision to give up on mathematics learning, it was only a moderate indicator for lower grade level students. The findings of this study provide useful information about which non-cognitive areas need to be focused on, in what grade levels, to help students stay on track and not fall behind in learning mathematics.

• The Mathematical Education
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• v.56 no.2
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• pp.147-160
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• 2017

The purpose of this study was to examine (1) if sociocultural factors that are known to influence gender gap in mathematics achievement are gender equitable for Singaporean eighth grade students, (2) if there is a higher level of gender equitability in students' attitudes towards mathematics and (3) how sociocultural factors influence mathematics achievement for Singaporean eighth grade students. This study is based on 5,923 Singaporean eighth grade students who participated in TIMSS 2011 assessment. The study found that there were no statistically significant gender differences in 'parental involvement in education' and 'teacher efficacy.' There were no statistically significant gender differences in students' attitudes of 'like learning mathematics,' and 'value learning mathematics'. A significant gender difference was identified for the attitude of 'confident with mathematics.' The boys displayed a higher level of confidence in mathematics than the girls consistent with other study findings for Asian students. The degree of effect from 'parental involvement in education,' 'teacher efficacy,' and 'confident with mathematics' on mathematics achievement are found to be stronger for girls than boys. The finding implies that girls' mathematics achievement can benefit from having more positive encouragement and involvement of parents and teachers and strengthening confidence in mathematics.

• Journal of the Korean School Mathematics Society
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• v.19 no.3
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• pp.309-328
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• 2016

In this study we aimed to find out if a mathematics lesson with Jigsaw model can help to change such negative mathematical affective characteristic to a positive one. The results of the study were as in the following. First, the mathematics lessons applied Jigsaw model can help to inspire curiosity and motivation of students. During the lessons, communication among students was vitalized. Such communication inspired learner's curiosity and learning motivation. The expert group and home group activities in the Jigsaw model made the learner's question-answering activities more instantaneous and frequent. Second, the mathematics lessons applied Jigsaw model can help students to become aware of the value of mathematical concepts and formula.