• Proceedings of the Korea Society of Elementary Mathematics Education
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• 2010.08a
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• pp.13-34
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• 2010

수학적 의사소통이 학습과정에서 뿐만 아니라 수학교육의 목표로 강조되고 있으나 실질적으로 초등학교에서 수학적 의사소통 수업에 대한 구체적인 지도방법이나 수업 사례 분석 등의 연구가 미흡한 실정이다. 이에 본 논문에서는 수학적 의사소통 중에서 담화 중심형 의사소통 수업의 성취 요소와 목표를 고려하여 2 4 6학년 수학 수업을 실시한 후, 수업에서 나타난 교사와 학생 간의 상호작용을 분석하였다. 담화 중심 수업을 실시한 세 교실에서 나타나는 공통점과 차이점을 분석하여 수학수업에서 담화 중심의 수학수업 구현에 관한 시사점과 논의거리를 제공하고자 한다.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.523-545
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• 2010

Mathematical communication has been emphasized not only as the process of learning mathematics but also as the objective of mathematics education. However, little studies have been conducted with regard to what to consider and how to implement in the actual classroom for promoting mathematical communication. Given this background, this paper implemented a mathematics instruction in each of 2nd, 4th, and 6th grade classrooms in which specific learning objectives were considered to promote discourse-based mathematical communication. It then analyzed the degree by which such learning objectives were achieved and the linguistic interactions between the teacher and students in each classroom. This paper finally provided issues and suggestions for effective discourse-based instruction in mathematics classroom by analyzing similarities and differences among the three classrooms.

• Communications of Mathematical Education
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• v.24 no.2
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• pp.385-413
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• 2010

The purpose of this study is to set appropriate targets for school-year levels and types of mathematical communication. First, I classify mathematical communication into four types as Discourse, Representation, Operation and Complex and refer to them collectively as the 'D.R.O.C pattern'. I have listed achievement factors based on the D.R.O.C pattern hearing opinions from specialists to set a target, then set a final target after a 2nd survey with specialists and teachers. I have set targets for mathematical communication in elementary schools suitable to its status and students' levels in our country. In NCTM(2000), standards of communication were presented only from kindergarten to 12th grade students, and, for four separate grade bands(prekindergarten through grade 2, grades 3-5, grades 6-8, grades 9-12), they presented characteristics of the same age group through analysis of classes where communication was active and the stated roles of teachers were suitable to the characteristics of each school year. In this study, in order to make the findings accessible to teachers in the field, I have classified types into Discourse, Representation, Operation and Complex (D.R.O.C Pattern) according to method of delivery, and presented achievement factors in detail for low, middle and high grades within each type. Though it may be premature to set firm targets and achievement factors for each school year group, we hope to raise the possibility of applying them in the field by presenting targets and achievement factors in detail for mathematical communication.

• Education of Primary School Mathematics
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• v.14 no.2
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• pp.135-145
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• 2011

When mathematicians solve the new problems, they present the solutions to their colleagues for getting the approval. If the solution is accepted, it will be theorems. This phenomenon also happens to classrooms in elementary and secondary school. That is main reason to emphasize mathematical communication activities in mathematics education. This study is aimed to develop teaching and learning model for the improvement of mathematical communication ability, applicate the teaching and learning model to two groups and analyze for mathematical thoughts. This study is a case study of 3rd grader's activities. Eight students, four are group applied the teaching and learning model and four are traditional group. The results have been drawn as follows: First, students in the teaching and learning model group induced richer interactions for student's understanding and investigation when we compare to those of traditional group. Second, students in the teaching and learning model group have the chance to explain their thoughts. And we can observe students to clear on their thought through speaking and discussing. This model makes students to enhance organizing, forming and clearing in their mathematical thoughts and is effective to estimate of students thought for teacher.

• Communications of Mathematical Education
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• v.27 no.2
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• pp.99-119
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• 2013

This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.

• Education of Primary School Mathematics
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• v.25 no.2
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• pp.179-195
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• 2022

Mathematical communication competency, one of the six mathematical competencies emphasized in the latest mathematics curriculum, plays an important role both as a means and as a goal for students to learn mathematics. Therefore, it is meaningful to find instructional methods to improve students' mathematical communication competency and analyze their communication competency in detail. Given this background, this study analyzed 64 sixth graders' mathematical communication competency after they participated in the lessons of fraction division emphasizing mathematical communication. A written assessment for this study was developed with a focus on the four sub-elements of mathematical communication (i.e., understanding mathematical representations, developing and transforming mathematical representations, representing one's ideas, and understanding others' ideas). The results of this study showed that students could understand and represent the principle of fraction division in various mathematical representations. The students were more proficient in representing their ideas with mathematical expressions and solving them than doing with visual models. They could use appropriate mathematical terms and symbols in representing their ideas and understanding others' ideas. This paper closes with some implications on how to foster students' mathematical communication competency while teaching elementary mathematics.

• Journal of the Korean School Mathematics Society
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• v.25 no.2
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• pp.195-224
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• 2022

In this study, pre-service mathematics teachers cultivated technology content teaching knowledge (TPACK) in the regular curriculum of the College of Education. The course was designed to enhance pre-service teachers' mathematical communication skills by using an application, which is a mobile mathematics learning content for the development of group creativity of high school students. The educational program to improve mathematics teaching expertise using the application for group creativity expression consists of pre-education, goal setting, planning, teaching at school, and evaluation. In this process, pre-service teachers evaluated technology tools. They also wrote a task dialogue, lesson play, reflective journal, and lesson plan to guide high school students to develop group creativity in both app activities. As a result of the educational program, pre-service mathematics teachers cultivated TPACK and enhanced their mathematical communication skills with high school students to develop group creativity.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.221-239
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• 2010

Attention to Korean perspective mathematics education has been increasingly paid m international academic meetings or international comparative studies. Personal or intuitive, vague explanation has been given based on limited literature or observations. This increasing attention and Jack of studies warrant the necessity of systematic researches on it. This article aims at clarifying the research issues in searching for Korean perspective on mathematics education and finding the starting point through discussion on mathematical modeling by teacher on researchers and researchers. Firstly, hypothetical perspective will be described. Secondly, Fourteen teacher educators' and seven researchers' opinion on it will be discussed. Findings imply that strong responsibility for Korean mathematics teachers to reveal theoretical aspects of mathematical knowledge, i.e., structure or essence, as well as to pursue efficiency and effectiveness in mathematics teaching and learning is the main aspect of Korean perspective on mathematics education.

• Communications of Mathematical Education
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• v.27 no.4
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• pp.581-609
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• 2013

Students' learning processes and mathematical levels should be correctly diagnosed in many different methods of assessment to help students learn mathematics. The study developed the model for the process-based assessment while using manipulatives in the middle school in order to improve problem solving, reasoning and communication which are emphasized in 2009 reformed curriculum as the areas of mathematical process. Identifying the principles of assessment, we created the assessment model for each area and carried out a preliminary study. Based on this, we revised the representative items and the observation checklist and then conducted a main study. Through the results of assessment, we found that students' thinking processes were well presented in scoring rubric for their responses on each item. It meant that the purpose of the assessment as a criterion-referenced test was achieved.

• School Mathematics
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• v.15 no.4
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• pp.867-888
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• 2013

The purpose of this paper was to investigate mathematics gifted educational methods based on STEAM education by Delphi study. As a result by total 3 round Delphi method, the concept of STEAM education for mathematics gifted students was education of developing capacity of Holistic Growth that can communicate diverse people through self-monitoring study as they can find and solve problems with integrative thinking and creative thinking. Thus this elicited the consensual agreements of experts about mathematics gifted educational goals, methods, contents, and evaluations etc. As a follow-up research will be developed mathematics gifted educational model based on STEAM education.