• Journal of Korean Elementary Science Education
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• v.34 no.4
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• pp.372-381
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• 2015

Mathematics and science are very closely related. Among the science areas, physic is strongly linked with mathematics. As the related mathematics skills were alloted later than the science contents in the national curriculum, students often suffer from science classes. Accordingly, an opinion have been claimed to teach the related mathematics skills prior to the science classes. However, it would be hard to arrange all science and mathematics contents in order. Instead of that, in this research, we taught students mathematics contents that are crucial for learning speed through science classes. We called that teaching strategy an integrated science and mathematics class. Then, we examined students' achievement in science as well as skills of mathematics to know the effectiveness of the strategy. We found that the average mathematics score of the whole class went up meaningfully. We also found that their science achievement was above than basic level. Moreover, the homeroom teacher of the students observed 3 aspects which showed the students were better than previous students. Finally, we divided the students into 4 groups by their science and mathematics achievement score and interviewed each group. As a result, we knew that interesting and confidence in science and mathematics quite exerted influence on their achievement.

• The Mathematical Education
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• v.53 no.4
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• pp.449-462
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• 2014

In this study, mathematics teachers' awareness of the need for motivation and its utilization in the actual classes were analyzed through a survey. As a result, the mathematics teachers answered positive on the need for motivation but the attempts for motivation in actual classes were rather low. In addition, they answered that teacher training for motivation were helpful in actual classes. Among Keller's ARCS, the strategies mathematics teachers recognized necessary and those used frequently in actual classes often showed generally consistent, and the need for motivation and the degree of utilization got highest score in motivation sector. On the other hand, mathematics teachers need to acknowledge specific utilization strategies of ARCS but showed incompetent in utilizing them in actual classes. Thus, in order to efficiently utilize the strategies for motivation in mathematics classes, mathematics teachers needed practical teacher training, specific instruction methods, researches on practical instructional methods and in-service, and administrative supports for the activations of teacher's study group and mentor system.

• International Journal of Contents
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• v.17 no.2
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• pp.9-19
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• 2021

The purpose of this survey-based study was to investigate high school students' perceptions of mathematics teachers' implementation of Universal Design for Learning (UDL)-based practices and technology in their mathematics classes in 2017. A total of 303 high school students in South Korea participated in this online survey on teachers' use of technology for instructional practices, the frequency of technology tool use, and the meeting of UDL guidelines in mathematics instruction. According to frequency analysis, high school students generally perceived their teachers' mathematics teaching as somewhat positive in providing multiple means of representation, action and expression, and engagement. However, mathematics teachers' implementation of technology tools in their mathematics classes was generally limited. This study indicated significant and positive relationships between variables regarding the use of technology tools and teachers' efforts to follow the UDL guidelines. Applying the Chi-squared test, we further examined how each survey result differed according to high school students' academic achievements and grade levels.

• The Mathematical Education
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• v.60 no.1
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• pp.41-59
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• 2021

The purpose of this study is to synthesize a comprehensive and general conclusion about the effects of mathematics classes using peer tutoring on the cognitive (mathematics learning achievement) and affective domains. For this purpose, a total of 61 individual studies were meta-analyzed in this study to calculate the effect size, measuring the strength of the relationship between mathematics classes using peer tutoring and either the cognitive or affective domain. As a result of this study, it was confirmed that mathematics classes using peer tutoring generally have a medium effect size in both cognitive and affective domains. Also, it was found that level of school, type of student, learning location, class time, tutor education or prior training are significant variables that affect the impact of mathematics classes using peer tutoring on the cognitive and affective domains. These results suggest specific ideas on how to design and operate peer tutoring in school mathematics classes on the basis of different variables.

• Communications of Mathematical Education
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• v.34 no.1
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• pp.17-39
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• 2020

The purpose of this study is to analyze the mathematical beliefs of students and teachers by Latent Class Analysis(LCA). This study surveyed 60 teachers about beliefs of 'nature of mathematics', 'mathematic teaching', 'mathematical ability' and also asked 1850 students about beliefs of 'school mathematics', 'mathematic problem solving', 'mathematic learning' and 'mathematical self-concept'. Also, this study classified each student and teacher into a class that are in a similar response, analyzed the belief systems and built a profile of the classes. As a result, teachers were classified into three types of belief classes about 'nature of mathematics' and two types of belief classes about 'teaching mathematics' and 'mathematical ability' respectively. Also, students were classfied into three types of belief classes about 'self concept' and two types of classes about 'School Mathematics', 'Mathematics Problem Solving' and 'Mathematics Learning' respectively. This study classified the mathematics belief systems in which students were categorized into 9 categories and teachers into 7 categories by LCA. The belief categories analyzed through these inductive observations were found to have statistical validity. The latent class analysis(LCA) used in this study is a new way of inductively categorizing the mathematical beliefs of teachers and students. The belief analysis method(LCA) used in this study may be the basis for statistically analyzing the relationship between teachers' and students' beliefs.

• The Mathematical Education
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• v.55 no.4
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• pp.397-416
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• 2016

This study analyzed the quality of mathematics classes with observations using the instrument, MQI(Mathematical Quality of Instruction). Class recordings and interviews were conducted on 2 pre-service teachers and 4 in-service teachers. This study recorded and analyzed 3 or 4 classes for each mathematics teacher by using revised MQI. There were a total of 8 raters: 2 or 3 raters analyzed each class. MQI has four dimensions: Richness of the Mathematics, Working with Students and Mathematic, Errors and Imprecision, Student Participation in Meaning-Making and Reasoning. In the dimension of 'Richness of Mathematics', all teachers had good scores of 'explanations of teacher' but had lower scores of 'linking and connections', 'multiple procedures or solution methods' and 'developing mathematical generalizations.' In the dimension of 'Working with Students and Mathematics', two in-service teachers who have worked and having more experience had higher scores than others. In the dimension of 'Errors and Imprecision', all teachers had high scores. In the dimension of 'Student Participation in Meaning-Making and Reasoning', two pre-service teachers had contrast and also two in-service teachers who hadn't worked not long had contrast. Implications were deducted from finding to improving quality of mathematics classes.

• Educational Technology International
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• v.25 no.1
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• pp.67-92
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• 2024

This study aims to verify the practical effectiveness of learning management system (LMS) by introducing a LMS enhancing digital assessment utilizing automatic item generation in order to strengthen college student's mathematics performance. Teaching assisted with digital assessment in the LMS was applied to college mathematics classes, and the research question is whether or not students in the classes utilizing the LMS perform better than the regular classes. In particular, a calculus course, which is the foundation of important artificial intelligence technology in the future, was utilized in this study. The participants of this study were 248 freshmen in science and engineering who were taking calculus courses at a small to mid-size university. A total of 156 freshmen were selected after applying a propensity score matching method (PSMM), 78 from classes utilizing the LMS and 78 from regular classes without the LMS assisted with the digital assessment. As a result, it was found that there was a statistically significant difference in the math academic growth of students who used the LMS and those who did not. In other words, when LMS was used in calculus, students' academic growth was greater. The results of this study are meaningful in that they observed students' academic growth and confirmed that LMS enables a positive role in students' academic growth. In addition, if digital assessment is strengthened and LMS that enables individualized learning analysis is introduced and implemented in educational institutions, it is expected to play a major role in strengthening students' academic performance.

• Journal of applied mathematics & informatics
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• v.1 no.1
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• pp.55-74
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• 1994

We consider an M/G/1 queueing system with multiple priority classes of jobs. Considered preemptive rules are the preemptive-resume preemptive-repeat-identical, and preemptive-repeat-different policies. These three preemptive rules will be analyzed in parallel. The key idea of analysis is based on the consideration of a busy period as composite of delay cycle. As results we present the exact Laplace-Stieltjecs(L.S) transforms of residence time and completion time in the system.

• Journal of the Korean School Mathematics Society
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• v.3 no.2
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• pp.111-122
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• 2000

This study is focused on vocational high school students who feel hardly interested in mathematics and are considered to have very limited basic scholastic ability. It analyzes the data obtained by applying the material, extracted from the Internet and literature to school classes from March to July, for the purposes of improving the degree of scholastic achievement on the basis of the fact that interest induced learning materials were developed and applied to the students to bring about their motivation resulting in a positive change in understanding and attitudes to mathematics. According to the result of the analysis, the level of students' scholastic ability of both the comparative class and the experimental class were too low to become interested in mathematics. However, the experimental class students seemed to feel familiar to the learning materials rather than reluctant, and it appeared that their interest and behavior of learning began to change gradually in an extent. In addition to that, as an aspect of scholastic achievement there was not considerable difference between the two classes, but as time went, some valuable changes were found. Unfortunately, the size of group of the research was small and the period of the experimental classes was not extensively long, and therefore the same result might not occur in other groups. However, it is believed that in class-time, educating students by putting in learning materials bringing about relevant motivation to the class, will lead them to become interested in mathematics, and change their attitudes and understanding of mathematics. After all, scholastic achievement will be effective.

• Nonlinear Functional Analysis and Applications
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• v.28 no.4
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• pp.957-988
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• 2023

We define new classes of expansive-type mappings in the setting of modular 𝜔^G-metric spaces and prove the existence of common unique fixed point for these classes of expansive-type mappings on 𝜔^G-complete modular 𝜔^G-metric spaces. The results established in this paper extend, improve, generalize and compliment many existing results in literature. We produce some examples to validate our results.