• Communications of Mathematical Education
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• v.20 no.2 s.26
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• pp.249-270
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• 2006

This research is aimed to analyze the causes of junior high school students' problems that was showed in a poor way at learning mathematics. So this is for the purpose of providing the basic data for searching for a means of teaching-learning to understand stagnant students. 5 male junior high students in teaming-stagnation were targets of this research, and we used two kinds of questionnaire in the field to find out the causes of learning-stagnation. We searched these students for the causes from a different standpoint of learning habits and self-possessed manners in mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.10 no.2
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• pp.151-169
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• 2006

This study is to adjust the Theory in the Mathematics Education, apply it to learning mathematics and to analyse its effectiveness. The results of the study are summarized as follows. First, because learning mathematics is hierarchical, teachers must make and use a task analysis table classified by units. Second, development age and the retention of mathematics concepts are intimately associated with cognitive development theory. Third, learning mathematics through cognitive processes enhances a student's scholastic achievement. Fourth, students interests and self-confidence can be enhanced through the presentation of both examples and non-examples. We cannot understand the higher-order concepts of mathematics by only its definitions. The only way of understanding such concepts is to have experience through suitable examples.

• The Mathematical Education
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• v.61 no.2
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• pp.257-271
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• 2022

As information and communication technologies are being developed so rapidly, education research is actively conducted to provide optimal learning for each student using big data and artificial intelligence technology. In this study, using the mathematics learning data of elementary school 5th to 6th graders conducting blended mathematics classes, we tried to find out what factors predict mathematics academic achievement and developed an artificial intelligence model that predicts mathematics academic performance using the results. Math learning propensity, LMS data, and evaluation results of 205 elementary school students had analyzed with a random forest model. Confidence, anxiety, interest, self-management, and confidence in math learning strategy were included as mathematics learning disposition. The progress rate, number of learning times, and learning time of the e-learning site were collected as LMS data. For evaluation data, results of diagnostic test and unit test were used. As a result of the analysis it was found that the mathematics learning strategy was the most important factor in predicting low-achieving students among mathematics learning propensities. The LMS training data had a negligible effect on the prediction. This study suggests that an AI model can predict low-achieving students with learning data generated in a blended math class. In addition, it is expected that the results of the analysis will provide specific information for teachers to evaluate and give feedback to students.

• Communications of Mathematical Education
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• v.35 no.3
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• pp.341-358
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• 2021

Corona, which first broke out in 2020, has caused many changes in many parts of society. Education was not an exception to this change. Teachers had to prepare online classes and students were asked to participate in it without sufficient preparation. Regarding online learning, many studies, in the field of developing teaching module and material or observing the satisfaction of online class, were conducted but there was no study based on how online class is happening in school. Therefore, this study was to investigate the current situation and satisfaction of online class for high school students and explored the relationship between sub-elements of mathematics learning and the level of satisfaction of online learning. As a result, mathematics online class was generally conducted in the form of real-time interactive classes and students felt a little satisfied with it. However, some conflicting opinions were expressed on the continuation of mathematics online learning. In addition, the study found that the higher level of satisfaction students have with online class, the difference appears in the sub-elements of learning mathematics such as values of mathematics, and motivation to learn, willingness to learn mathematics, learning strategies according to the safisfactory level of online class.

• Communications of Mathematical Education
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• v.36 no.4
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• pp.511-533
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• 2022

The purpose of this study is to develop a learning coaching model suitable for the mathematics subject by reflecting the characteristics of the mathematics subject and the mathematics teaching/learning process in the CARE learning coaching model that supports students' self-directed learning. The mathematics learning coaching model developed in this study is a 'step' and 'element' to apply coaching, and a 'strategy' for carrying out it. Mathematics learning coaching model evaluated rapport, trust, state management, and math pre-test as elements of 'creating a comfortable atmosphere', and problem recognition, hypercognition, restructuring, initiative, and math learning ability as elements of 'improving perception'. Self-efficacy, learning readiness, confirmation (feedback) as elements of the 'reawakening of learning immersion' stage, voluntary motivation and success experiences as elements of the 'empowerment' stage, and various math learning strategies to perform each element presented. The math learning coaching model can be used to help math teachers motivate students to learn and help students solve their own problems.

• School Mathematics
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• v.1 no.1
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• pp.19-37
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• 1999

In this study, we examined some matters related to the learning of variable concept in school mathematics on the basis of the theoretical foundation from the previous studies(e.g. Davis, 1975; Rosnick, 1981; IK chemann, 1981; Wagner, 1983.) and practices on variable concept teaching by evaluating the current state of that. Matters be discussed are as follows; the use of symbol for place holders in elementary mathematics, the dealing with sets those elements are literals and operations of such sets, the teaching of dummy variable, the construction of literal expressions that contains variables, the labeling indeterminates as a constant, the change in the exact meaning of variable according to the function concept, the teaching of a generalization by means of variables. After considering on these matters that are connected with the teaching-learning of variable concept, we suggested the alternative proposal to the current state of variable concept teaching.

• Communications of Mathematical Education
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• v.20 no.2 s.26
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• pp.283-293
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• 2006

According to the TIMSS and PISA, Korean students proved to score one of the best group among the participated countries on the cognitive area of school mathematics. As an attempt to find out the Korean students' trends of mathematics learning, we compared Korean and American 10th graders' mathematics test result. It was proved that Korean students were especially well equipped in retaining basic fact and formulas.

• Communications of Mathematical Education
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• v.32 no.2
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• pp.191-206
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• 2018

This study is proposing and investigating the possibility of mathematics learning using novels, "Alice in Wonderland" and "Flatland". The proposed learning model of this article is for 3 hours of mathematics class. The model has been reviewed and remedied by 7 professionals(mathematics teachers). General opinions of the reviewers are quite optimistic on possibility of implementation.

• The KIPS Transactions:PartA
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• v.14A no.6
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• pp.383-390
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• 2007

This paper describes the e-learning system for science and engineering mathematics using computer algebra system and Bayesian inference network. The best feature of this system is using one of the most recent mathematical dynamic web content authoring model which is called client independent dynamic web content authoring model and using the Bayesian inference network for diagnosing student's learning. The authoring module using computer algebra system provides teacher-user with easy way to make dynamic mathematical web contents. The diagnosis module using Bayesian inference network helps students know the weaker parts of their learning, in this way our system determines appropriate next learning sequences in order to provide supplementary learning feedback.

• Communications of Mathematical Education
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• v.26 no.3
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• pp.317-338
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• 2012

This paper compared and contrasted the views of effective mathematics instruction by 223 elementary school teachers and 151 middle school mathematics teachers using a questionnaire with 4 main domains (i.e., curriculum and content, teaching and learning, classroom environment and atmosphere, and assessment) and a total of 48 sub-elements. The analysis of results showed that elementary school teachers put their priority on the curriculum and content domain, while middle school counterparts did on the teaching and learning domain. The teachers commonly agreed with instruction which fosters students' self-directed learning ability, reconstructs the curriculum tailored to students' diverse levels, and establishes appropriate interaction between the teacher and students. However, elementary school teachers agreed more than middle school teachers with regard to the 23 elements related to effective mathematics instruction. In contrast, middle school teachers agreed more than their counterparts as for only 2 elements (instruction fostering mathematical representation and instruction eliciting students' learning motivation). This paper includes suggestions and implications related to Korean teachers' perception of effective mathematics instruction.