• Journal of the Korean School Mathematics Society
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• v.2 no.1
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• pp.15-30
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• 1999

For the purpose of turning learners' locus of control into internal-controllable variables, counseling materials were developed, and attribution counseling was given. The counseling effects were practically confirmed by way of teaching and evaluation in the actual classes, and furthermore the efforts to provide learners with successful experiences in learning were repeatedly made. As a result, the conclusions are as follows: 1. The procedure of Individual counseling for learning attribution based on individual standard grades and data of the variable order of merit apparently shows learners that if learners are to try their best in learning, they will surely go far in terms of learning in the near future. 2. The procedure of Individual counseling for teaming attribution based on achievement distribution in individual behavior-oriented fields suggests to learners that how to learn is as important as how much effort they make. Surely enough, learners are required to make more effective and efficient efforts, considering their own learning abilities. 3. With the above 1, 2 procedures involved, learners have attributed locus of causality in achievement to their internal-controllable causes. 4. With preparatory assignments according to learner's abilities provided, even slower learners came to be assured that their constant efforts could give rise to success in learning achievement. 5. Above all, it was confirmed that the learners' struggling attitude might well have a significant correlation with achievement success. The learners who are willing to attribute locus of causality in achievement to their internal-controllable causes or strenuous efforts and intrinsic motivation tend to be convinced that they can address themselves to whatever faces them, so they can set up specific learning goals fit for their abilities. Accordingly, they will bit by bit acquire successful experiences (often called 'Aha' experiences) and in turn, feeling the senses of self-efficacy and self-esteem enough to push their efforts even further, they can grow to form a positive self-concept. With one successful experience after another fed back into learners, they are gradually motivated to bring the oncoming achievement expectation to a higher level. To conclude, it is necessary that instruction leading to internal-controllable attribution should be provided, inducing learners to recognize success and failure in learning achievement as a result of their strenuous efforts.

• Communications of Mathematical Education
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• v.34 no.2
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• pp.161-177
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• 2020

This study constructed an experiment group and a comparative group, composed of high school students preparing for "Na" type math exam and provided one-to-many tutoring cooperative learning. This study tested the differences between group and between pre- and post-treatment scores by group using non-parametric statistics techniques. Moreover, this study conducted an open-type survey twice and had individual interviews to examine the affective domains of students. The difference in scores between the experimental group and the comparative group was not significant. However, the difference between pre- and post-treatment math scores was only significant in the experiment group among the three groups. Additionally, the student-teacher could reflect on him or her and improve self-efficacy while teaching other ordinary students. The ordinary students were more interested and motivated in the lessons and became more confident. In terms of mathematics competency, we could see that communication, problem-solving, reasoning, and attitude & practice were improved.

• Education of Primary School Mathematics
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• v.20 no.2
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• pp.143-151
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• 2017

An increasing number of students are giving up on learning mathematics at all grade levels, including elementary school. The study in this paper considers seven non-cognitive student characteristics to identify which are strongly correlated with giving up on mathematics at the elementary school level. Data were collected with a survey on the non-cognitive domain of mathematics learning that was developed by the Korea Foundation for the Advancement of Science and Creativity in 2015. The data were collected from 3,636 elementary school students in Korea, and we analyzed the data using the statistical computing program R. Of the seven components, efficacy and interest have a strong correlation with students' tendency to profess that they have given up trying to learn mathematics. The findings of the study shed light on which non-cognitive domain areas mathematics teachers need to pay more attention to in order to make their teaching effective. This study further investigated the correlation between responses to each of the 24 survey items and students' claim that they have given up on mathematics. Using the 8 items with the highest correlations, we have developed a shorter, 8-item version of the survey, which will be useful for similar future studies.

• Education of Primary School Mathematics
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• v.17 no.1
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• pp.57-75
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• 2014

Problem Solving has been emphasized for recent decades, and many research case studies have been used to improve students' Problem Solving abilities. However, the gap of students' abilities can be easily shown after enrollment into school in spite of scholar's attempt to reduce students' level of differentiation. Besides, it is clear that teachers have been too readily assisting students' and not allowing them to acquire the process of Problem Solving, and this may be due to impatience. Therefore, students seem to show signs of the dependent tendency towards teachers and other materials. This tendency easily allows students' to depend on teaching resources without attempting any developmental mechanism of Problem Solving. The presupposition of this study is that every student must solve a problem without any assistance, and also this study is to provide new cognitive strategies for both teachers and students who want to solve their problems by themselves through the process of visible Problem Solving. After applying the student-based problem-solving model by this study, it was found to be effective. Therefore this will lead to the improvement of the Problem Solving and knowledge acquisition of students.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.2
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• pp.205-230
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• 2015

The purpose of this study is, targeting 5th and 6th grades mathematically gifted elementary students, to analyze the effect of independent study project learning on self-directed learning ability and mathematical self-efficacy, and based on the results, examine the implications that independent study project learning has in special education for the gifted. In order to solve the study problems, 5th grade mathematically gifted elementary students(40) and 6th grade mathematically gifted elementary students(39) who had passed the selection criteria of D education institute for the gifted and had been receiving special education for the gifted were selected. The study results are as below. First, although self-directed learning ability had no significant difference at p<0.05, it statistically had some differences in averages between pre-test and post-test results. Second, although mathematical self-efficacy had no significant difference at p<0.05, it statistically had some differences in averages between pre-test and post-test results. Third, in the aspects of self-directed learning ability and mathematical self-efficacy, independent study project learning had a more positive effect on 5th grade mathematically gifted elementary students than 6th grade mathematically gifted elementary students. In addition, it had significant differences in 'the level of mathematical tasks', a sub-level of mathematical self-efficacy, and 'the openness of learning', 'the initiative of learning', and 'a sense of responsibility for learning', sub-levels of self-directed learning ability. These results imply that independent study project learning has a positive effect on self-directed learning ability and mathematical self-efficacy of mathematically gifted elementary students so that it could be meaningfully used as a teaching method for special education for the gifted at educational sites of independent study project learning.

• The Mathematical Education
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• v.57 no.2
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• pp.137-155
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• 2018

From the assumption that an individual's working memory capacity is limited, the cognitive load theory is concerned with providing adequate instructional design so as to avoid overloading the learner's working memory. Based on the cognitive load theory, this study aimed to provide implications for effective problem-based collaborative teaching and learning design by analyzing the level of middle school students' cognitive load which is perceived according to the problem types(short answer type, narrative type, project) in the process of collaborative problem solving in middle school function part. To do this, this study analyzed whether there is a relevant difference in the level of cognitive load for the problem type according to the math achievement level and gender in the process of cooperative problem solving. As a result, there was a relevant difference in the task burden and task difficulty perceived according to the types of problems in both first and second graders in middle schools students. and there was no significant difference in the cognitive effort. In addition, the efficacy of task performance differed between first and second graders. The significance of this study is as follows: in the process of collaborative problem solving learning, which is most frequently used in school classrooms, it examined students' cognitive load according to problem types in various aspects of grade, achievement level, and gender.

• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.113-137
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• 2015

The objective of the present study is to systematically examine the effects of on the cognitive and affective domains of elementary, middle, and high school students by conducting a meta-analysis. To this end, this study selected 31 research papers that had analyzed the effects of applying, and performed a meta-analysis of the findings presented in each research paper. The results obtained from the meta-analysis are presented as follows. First, both the collaborative learning program and the peer tutoring program for underachieving students in math manifested an above average size of effect in the cognitive domain. In particular, the effect was the greatest at the elementary school level, and out of the two programs, peer tutoring was identified to have a sizable effect. Second, both programs displayed an above average size of effect in the affective domain, and peer tutoring was identified to have a higher effect than collaborative learning. In addition, when the programs were compared based on school levels, the size of effect was highest at the elementary school level followed by middle school and high school, in that order. When compared based on the criteria of the affective domain, self-efficacy in math, learners' attitude toward math, and learners' interest in math were identified to. Finally, this study presented suggestions for teaching underachieving students in math and conducting follow-up studies based on the analysis results.