• Research in Mathematical Education
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• v.4 no.1
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• pp.1-22
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• 2000

The purpose of this study was to investigate the effects of using graphing calculators on students' understanding of the linear and quadratic function concepts. The populators of this study are tenth graders at high school in Seoul, one class for the treatment group and another class for the comparison group, and experiment period is 14 weeks including two weeks for school regular exams.Function tests used in the study was proposed which described a conceptual knowledge of functions in terms of the following components: a) Conceptual understanding, b) Interpreting a function in terms of a verbal experission, c) Translating between different representations of functions, and d) Mathematical modeling a real-world situation using functions. Even though the group test means of the individual components of conceptual understanding, interpreting, translating, mathematical modeling did not differ significantly, there is evidence that the two groups differed in their performance on conceptual understanding. It was shown that students learned algebra using graphing calculators view graphs more globally. The attitude survey assessed students' attitudes and perceptions about the value of mathematics, the usefulness of graphs in mathematics, mathematical confidence, mathematics anxiety, and their feelings about calculators. The overall t-test was not statistically significant, but the students in the treatment group showed significantly different levels of anxiety toward mathematics.

• Education of Primary School Mathematics
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• v.21 no.1
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• pp.39-53
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• 2018

Most of the studies of mathematics so far have found positive changes in the effectiveness of the academic achievements of academic achievement, as well as positive changes in the effectiveness of academic achievement or attitudes or attitudes towards mathematics. The purpose of this study was to investigate the achievement criteria for the use of the teaching aids and to present the teaching aids and the methods for teaching the learning contents appropriate to the achievement standards. Specifically, it finds the achievement standard suitable for the learning contents instruction course of the textbooks of the elementary school 1st and 2nd graders, finds the available diocese in the standard diocese for the math class, and investigates the diocese in use in the present textbook.

• Research in Mathematical Education
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• v.9 no.1 s.21
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• pp.69-96
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• 2005

Motivation for learning is important for positive learning outcomes as well as for measured achievement levels. When students come to our classes, they bring with them learning histories in which we as individual teachers, most likely, did not have an input. Our students do not only bring with them different levels of prerequisite leanings but also different levels of affect for what they will be learning. If we leave their final learning at the mercy of these entry characteristics, a test given the first day before the course will have almost isomorphic results with their achievement levels on the last day. The ones who had 'it' on the first day will be the ones who in the future will also have 'it', not too different from what the present situation is all over the world. These circumstances will tend to be the case ad infinitum, unless of course, we want to change the situation. This research clearly shows that effective instructional methodologies coupled with cooperative peer interactions not only have an impact on achievement but also on positive attitudes toward one's learning.

• East Asian mathematical journal
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• v.26 no.4
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• pp.509-533
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• 2010

This study will contribute to improve intimacy and interests of students in mathematics and to cultivate their abilities and attitudes to continuously learn through problem posing activities using fairy tales. An experimental study was carried out two classes of the fifth grade (total 60 of students, each group 30 os students) in G elementary school located in Daegu Metropolitan City. This experiment was performed for thirteen weeks. For this study, using two examination devices for measuring mathematical attitude and learning achievement, pre- and post-tests were carried out. As a result, it was found that two groups are identical groups. Problem posing activities with fairy tales had significant effect on mathematical attitudes of children and learning achievement of children.

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.525-548
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• 2010

How to enhance the ability of underachieve students are unsolved problems for mathematics teachers despite of their best efforts to teach them. The purpose of this study is to explore the effectiveness of mathematical journal writing as a method of improving the mathematical attitudes and achievements for underachieve students. Seven students whose performances were below 40% on the final exam in the 1st semester were recruited in order to gather empirical data. Before journal writing procedures, the subjects' characteristics, learning styles and mathematical attitudes were investigated through personal interview and mathematical attitude test. After six-week journal writing, follow-up survey and mathematical attitude test were conducted. The results of this research are as follows: Mathematical journal writing had a positive effect to underachieve students on improving confidence in mathematics and a positive influence on active and effective learning attitude. And mathematical journal writing had an effect on improvement in their mathematics achievement comparing first semester's final exam with second semester's mid-term exam. Finally mathematical journal writing contributes positively to the relationship between students and their teacher.

• Journal of the Korean School Mathematics Society
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• v.12 no.2
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• pp.171-193
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• 2009

Although Korea students have been showed the top academic achievement in the international evaluation test for mathematics academic achievement, they have the low confidence, low interest and unwelcome attention about mathematics. In order to change student's affective aspects about mathematics, we introduced the problem based learning(PBL) method which is based on constructivist learning theories. By applying PBL to the middle and high class students, we investigated the effect of PBL on the students' academic achievement and mathematical attitudes. The study shows that there are the statistically significant differences between a control group and a comparison group both in academic achievement and mathematical attitudes.

• Journal of the Korean School Mathematics Society
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• v.16 no.2
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• pp.363-381
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• 2013

The constituents of math learning styles are information recognition and information processing in the cognitive domain and attitudes toward math learning and environments of math learning in the affective domain. Each of the constituents has two opposing styles; there are the visual style and verbal style in information recognition; and there are the whole style and analytical style in information processing. And as for attitudes toward math learning, there are two styles which are the authoritative and goal-oriented style and the practical and entertaining style. Also as for attitudes toward environments of math learning, there are two styles which are the interior-oriented style and exterior-oriented style. There can be classified into 16 types of mathematics learning by the combination of a total of 8 styles of mathematics learning. The purpose of this study was to analyze the preference of the students from three middle schools located in Daegu Metropolitan City to the styles and types of mathematics learning.

• School Mathematics
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• v.8 no.2
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• pp.107-121
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• 2006

The purpose of this study is to understand various theories of cognitions of mathematics and to compare the difference between students in mathematics education and professors who teach them in their cognition of mathematics. For this purpose, a survey of 'cognitions of mathematics' was done to the students(future teachers) and professors who taught them in the capital area, and the results was statistically analyzed. It shows that professors have almost all of things in common with students in their cognitions of mathematics except some issues such as 'there are usually more than one way to solve mathematical tasks and problems,' or 'It is indispensible for mathematics to be definitional rigor,' which are statistically significant. Many theoretical and empirical grounds were supported for the differences in their responses. The study has, eventually, given valuable suggestions to lead people's attitudes and cognitions of mathematics to a deeper level.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.463-485
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• 2011

This study was to investigate the effects of mathematical history-based mathematics teaching on mathematical communication and attitudes of elementary students, through selecting mathematical history content to apply to elementary mathematics and devising an instruction model to use effectively. For this purpose, while the experimental group received instruction using mathematical history and the comparative group lecture-based instruction using the common textbook, both quantitative and qualitative methods were employed to analyze gathered data. To conclusion, first, instructions using mathematical history were helpful for increasing the student's participation in communication, and secondly helped the students justify their opinions to others with mathematical logic.

• Journal for History of Mathematics
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• v.24 no.3
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• pp.109-143
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• 2011

Augustus De Morgan became to be deeply interested in the education of pure mathematics since he came to teach in UCL because of the specific nature of natural philosophy lectures, the academical knowledge and reasoning powers of the students, and the negative attitudes of London society on mathematics. During his long tenure, he really tried his best to make his students understand the important concepts and the principles of pure mathematics, and logically explain the processes of inducing and proving the laws of pure mathematics. When he could not stay as a mere researcher, he had to concern himself with and pay attention to the problems of educating students. And then his teaching style was constructed in a specific way by the various attitudes about mathematics, the boundary relationship between the adjacent academical branches, and the social and systematic nature of UCL.