• Education of Primary School Mathematics
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• v.3 no.2
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• pp.89-101
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• 1999

The reform movements of current mathematics education have based on several major ideas, in order to provide a new vision of the teaching and loaming of mathematics. Of the ideas, the motto of communication of mathematics appears to be a significant factor to change teaching practices in mathematics classroom. Through Vygotsky's sociocultural theory, the psychological background is presented for both supporting the motto and extracting important suggestions of the reform of mathematics education. The development of higher mental functions is explained by internalization, semiotic mediation, and the zone of proximal development. Above all, emphasis is put on the concepts of scaffolding and inter subjectivity related to the zone of proximal development. Seven implications are proposed by Vygotsky's sociocultural theory for the new forms of the teaching and learning of mathematics.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.277-293
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• 2011

The purpose of mathematics education is to develop the ability of transforming various problems in general situations into mathematics problems and then solving the problem mathematically. Various teaching-learning methods for improving the ability of the mathematics problem-solving can be tried. However, it is necessary to choose an appropriate teaching-learning method after figuring out students' level of understanding the mathematics learning or their problem-solving strategies. The error analysis is helpful for mathematics learning by providing teachers more efficient teaching strategies and by letting students know the cause of failure and then find a correct way. The following subjects were set up and analyzed. First, the error classification pattern was set up. Second, the errors in the solving process of the function problems were analyzed according to the error classification pattern. For this study, the survey was conducted to 90 first grade students of ${\bigcirc}{\bigcirc}$high school in Chung-nam. They were asked to solve 8 problems in the function part. The following error classification patterns were set up by referring to the preceding studies about the error and the error patterns shown in the survey. (1)Misused Data, (2)Misinterpreted Language, (3)Logically Invalid Inference, (4)Distorted Theorem or Definition, (5)Unverified Solution, (6)Technical Errors, (7)Discontinuance of solving process The results of the analysis of errors due to the above error classification pattern were given below First, students don't understand the concept of the function completely. Even if they do, they lack in the application ability. Second, students make many mistakes when they interpret the mathematics problem into different types of languages such as equations, signals, graphs, and figures. Third, students misuse or ignore the data given in the problem. Fourth, students often give up or never try the solving process. The research on the error analysis should be done further because it provides the useful information for the teaching-learning process.

• Research in Mathematical Education
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• v.11 no.2
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• pp.101-126
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• 2007

We analyze the possibilities of using Information and Communication Technologies as a resource in the teaching/learning of Mathematics and we show the results of concrete experiments carried out with the games: "Adibu", "La ciudad perdida" and "Drood en el planeta siete", with fourteen students and two primary school teachers in a school in Santa Cruz de Tenerife (Spain). Our analysis of the games is made within a global framework in which individual, cooperative and collaborative learning are considered, taking as reference the theoretical frameworks set out by Piaget, Vygotsky, and the principles of collaborative learning (Computer Supported Collaborative Learning).

• The Mathematical Education
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• v.53 no.2
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• pp.219-237
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• 2014

In this study we desire to deduce implications for mathematics curriculum, teaching- learning, and evaluation from the data of Nation Assessment of Educational Achievement. For this, first we extracted the items written by the same achievement standard over two years from 2010 to 2012. Next we investigated whether the items are the representative items of a certain proficiency level and classified into the case of the items of the same proficiency level and the case of the items of different proficiency levels. Based on these we analysed learning characteristic of the each proficiency level. From the results of the above, we proposed what should be changed in mathematics curriculum, what should be considered in teaching-learning, and what should be paid attention to test item development.

• School Mathematics
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• v.2 no.1
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• pp.145-164
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• 2000

The purpose of this study is to investigate the effect of NIE instruction in learning mathematics. There are two groups. The one group is an experimental group which is assigned to use NIE in learning mathematics for 10 weeks. The other group is a controlled group which is received only ordinary teaching methods. The results of this study are as follows. 1. There is no significant difference in learning achievement between the experimental group and the controlled group in significant level 0.05. 2. There are some difference in mathematical disposition between two groups. That is, the students of experimental group learned NIE are not changed in mathematical disposition. However, the other group takes on negative attitude in a mathematical disposition. Considering that as the students go up higher grade, their mathematical disposition become negative, using NIE in mathematics education is valuable to prevent the negative disposition to the mathematics. 3. There are some difference between two groups in the open-ended problem test in significant level 0.05. Although using NIE has little effects in the ordinary test methods, NIE has some effects in the test which require communication ability.

• School Mathematics
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• v.13 no.1
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• pp.37-63
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• 2011

This research had investigated the teaching practice in the mathematics classrooms with immigrant students to describe how effectively mathematics teachers create inclusive learning environment of mathematics. The analysis of the data from the elementary schools suggests that teaching practice in the class was consistent to the criteria for 'contextualization of students' lived experience' and 'mathematical conversation'. However, while the quantitative results suggested that the teachers showed high expectation to their students in their teaching, the qualitative analysis revealed the teacher's beliefs and attitudes against providing equitable educational opportunity for every student. In the middle school classrooms, it was found that the teaching practices were not compatible to the goals of multicultural mathematics education. The analysis of the survey data regarding teachers' multicultural competence suggests that the teachers possessed rather advan]ced understanding of multicultural mathematics education but they need materials and pedagogy for classroom teaching from multicultural perspectives.

• Education of Primary School Mathematics
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• v.17 no.3
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• pp.205-230
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• 2014

New teaching and learning theory on various aspects about class is needed to implement education which reflects constructivism, ideally. For an ideal learner-centered mathematics class, tangible and intangible elements related to education(view of knowledge, view of leaner, teacher's role, evaluation, the form of class, learning, teaching material, etc.) should be integrated from a constructive perspective and especially, teaching material has to be premised on that learners have intellectual abilities to construct knowledge themselves, and reflect integrity of knowledge, diversity and others, and contain open attributes. In addition to this, teaching material should have characteristics different from those when objective epistemology applies, so there is a need to analyze whether teaching material has those characteristics. For this, this study compared and analyzed <1. Three-Digit Numbers> which belongs to the domain of numbers and operations out of the units of mathematics(3) textbook of the 2009 revised curriculum for the first and second grade that first introduced story-telling, and <3. Understanding of Place Values> for the second grade of constructive math class used in the U.S.

• Research in Mathematical Education
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• v.27 no.1
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• pp.129-150
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• 2024

This study utilized South Korean elementary and middle school student data to examine the longitudinal change trajectories of learning motivation types according to the longitudinal change trajectories of mathematics academic achievement. Growth mixture modeling, latent growth model, and multiple indicator latent growth model were used to examine various change trajectories for longitudinal data. As a result of the analysis, it was classified into 4 subgroups with similar longitudinal change trajectories of mathematics academic achievement, and the characteristics of the mathematics subject, which emphasize systematicity, appeared. Furthermore, higher mathematics academic achievement was associated with higher self-determination and higher academic motivation. And as the grade level increases, amotivation increases and self-determination decreases. This study suggests that teaching and learning support using this is necessary because the level of learning motivation according to self-determination is different depending on the level of mathematics academic achievement reflecting the characteristics of the student.

• Research in Mathematical Education
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• v.19 no.3
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• pp.177-193
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• 2015

Mathematical creativity, an important goal in mathematics education, can be promoted through an integrated learning environment where students explore mathematics with other subject areas such as science, technology, engineering and art. Establishing such learning environments is not a trivial task. Therefore, this creates a need for the development of instructional resources promoting meaningful integration. This paper focuses on integration of the fields of mathematics and music. Beginning with some of the historical discoveries and views of the connections between mathematics and music, this paper attends to several musical concepts correlating to middle school mathematical content and then provides ideas for teaching.

• The Mathematical Education
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• v.53 no.3
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• pp.435-447
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• 2014

Recently, the interdisciplinary integration and story-telling are often mentioned in mathematics education. It is probably because they might be helpful to students for positive attitude for mathematics. In this research, through brief discussion mathematics related with wallpaper patterns, we try to integrate mathematics and design, and eventually develop the teaching/learning materials for experience activities and story-telling.