• East Asian mathematical journal
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• 제34권2호
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• pp.103-125
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• 2018

This study was conducted as a part of the project to evaluate the quality of mathematics instruction in the national curriculum system. The purpose of this study is to measure the consistency between teaching goals of mathematics curriculum, contents presentation of textbooks, and testing including adequacy of each element in mathematics instruction for 8th grade. To do this, we used MIQP (instructional quality profile for Mathematics) developed basing on the instructional quality profile (IQP) in the previous research of the project. First, the quality of textbooks' content presentation for 8th grade was found that the desirable levels in number and operation area and geometric area was relatively less compared to other areas, but it was generally good. Second, it was found that the quality of mathematics testing for 8th grade was good in terms of consistency with the curriculum's teaching goals, consistency with the content presentation of textbooks, and adequacy of testing. However, regional differences in the quality of testing showed that there were some deficiencies in regions outside the metropolitan.

• East Asian mathematical journal
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• 제37권2호
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• pp.265-288
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• 2021

In the 2015 revised mathematics curriculum, the system of equations is first introduced in 'Variables and Expressions' of [Middle School Grades 1-3]. Then, It is constructed that after learning the linear function in 'Functions', the relationship between the graphs of two linear functions and the systems of linear equations are learned so that students could improve the geometric representation of the systems of equations. However, in of Elective-Centered Curriculum Common Courses, Instruction is limited to algebraic manipulation when teaching and learning systems of quadratic equations. This paper presented the teaching and learning method that can improve students' mathematical connection through various representations by providing geometric representations in parallel using GeoGebra, a mathematics learning software, with algebraic solutions in the teaching and learning situation of simultaneous quadratic equations.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권3호
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• pp.369-386
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• 2003

Problem-centered learning has many implications on teaching and learning mathematics. Students devise their solutions to solve problems and participate in the discussion with teacher and other students to share and justify their solution during the problem-centered learning. Therefore, we purposed to provide problem-centered loaming materials to be able to use in teaching and loaming the 7th mathematics curriculum in this study. First, we reviewed the 7th curriculum and its textbooks to know what and how students learn and suggested the problem-centered learning as a teaching method to perform the 7th curriculum. Next, we developed the problem-centered loaming materials for 6th grade in elementary school and taught students with these materials to amend errors. Finally, we developed evaluation criteria to evaluate students while they teamed mathematics in the problem-centered learning.

• 한국수학사학회지
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• 제33권1호
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• pp.1-19
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• 2020

Under 2009 Revised Mathematics Curriculum and 2015 Revised Mathematics Curriculum, mathematics teachers can help students inductively express real life problems related to sequences but have difficulties in dealing with problems asking the general terms of the sequences defined inductively due to 'Guidelines for Teaching and Learning'. Because most of textbooks mainly deal with the simple calculation for the sums of sequences, students tend to follow them rather than developing their inductive and deductive reasoning through finding patterns in the sequences. In this study, we reconstruct 8 problems to find the sums of sequences in MukSaJipSanBup which is known as one of the oldest mathematics book of Chosun Dynasty, using the terminology and symbols of the current curriculum. Such kind of problems can be given in textbooks and used for teaching and learning. Using problems in mathematical books of Chosun Dynasty with suitable modifications for teaching and learning is a good method which not only help students feel the usefulness of mathematics but also learn the cultural value of our traditional mathematics and have the pride for it.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제17권3호
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• pp.205-230
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• 2014

구성주의를 반영한 대표적인 교수 학습 이론인 학습자 중심 수학 수업이 이상적으로 실천되기 위해서는 구성주의 관점에 따른 교육과 관련된 유무형의 제 요소들(지식관, 학습자관, 교사의 역할, 평가, 수업 형식, 학습, 수업 자료 등)이 융합되어야 한다. 그 중 수업 자료는 학습자들이 스스로 지식을 구성할 수 있는 지적 능력이 있음을 전제로 개발되어야 하고, 지식의 통합성, 다양성 등이 반영되어야 할 것이며 개방형 속성을 지닌 자료이어야 한다. 이외에도 객관적 인식론을 적용할 때 갖던 특징과는 다른 특징들을 지녀야 하므로, 수업 자료가 그러한 특징들을 가지고 있는지 분석해 볼 필요가 있다. 이를 위해 2009 개정 교육과정 1-2 학년군 수학(3) 교과서의 스토리텔링이 처음 도입된 단원 중 수와 연산 영역에 해당되는 <1. 세 자리수>와 미국에서 사용되고 있는 구성주의 수학교실 2학년의 <3. 자릿값의 이해>를 비교하여 분석하였다.

• 한국수학교육학회지시리즈A:수학교육
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• 제44권4호
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• pp.603-625
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• 2005

Identity is the concept which approaches individuals' affective problems with the social and cultural view. The previous studies on the problems, studied the attitudes, beliefs, or emotions while they restricted the problems to teachers or students' private problems. Otherwise, identities focus on individuals which participate to any community and share its social practices(Mclead, 1994). This study purposed to get an understanding on the teaching and learning mathematics in elementary mathematics classroom with an ethnographic view, while we consider mathematics as a kind of social practices, and mathematics classrooms as communities of practice. We analysed teacher's identities on mathematics and teaching mathematics depending on her responses of the questions as following: How does she think about mathematics, what are the instructional goals in her mathematics classroom, how do students learn mathematics in her mathematics classroom. In addition, we analysed students' identities on mathematics and learning mathematics depending on their responses of the questions as following: What do students think of mathematics, do they like mathematics, why do they study mathematics, how do they feel their mathematics classroom(describe your classroom) and themselves in it(describe yourselves in your classroom), what are their duties and what do they do actually in their mathematics classroom.

• 한국수학교육학회지시리즈A:수학교육
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• 제46권4호
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• pp.389-406
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• 2007

The purpose of this study is to understand the learning mathematics in elementary mathematics classroom by considering mathematics as a kind of social practices and mathematics classroom as a kind of community of practice. The research questions of this study are as followings: 1) Do the identities which teacher has on mathematics and teaching mathematics, influence the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics? 2) Do the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics, influence the identities which teacher has on mathematics and teaching mathematics? This study was based on ethnomethodology. It was executed participation observations, interviews and surveys with teacher and 5 graders to collect the data for the social practices formed their classroom and their identities, and was analyzed the interaction between the social practices of mathematics classroom and teacher and students' identities. We found the scenes that teacher's identities influenced the social practices of mathematics classroom and students' identities, and also the scenes that the social practices of mathematics classroom and students' identities influenced teacher's identities. So, we could know that there existed the interaction between the social practices of mathematics classroom and teacher and students' identities.

• 한국학교수학회논문집
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• 제16권1호
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• pp.1-29
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• 2013

본 연구는 수업컨설팅과 관련된 이론과 실천을 연계한 컨설팅 활성화 방안을 제안하는 것을 목적으로 두고, 학교교육의 문제 해결, 교사의 전문성 신장, 수업의 질 향상에 보탬이 되고자 하였다. 이러한 취지에서 한국교육과정평가원에서는 수학, 과학 및 영어의 3개 교과를 중심으로 교과별 내용교수지식(Pedagogical Content Knowledge, PCK)에 초점을 둔 수업컨설팅 실시 방안 및 그 구체적인 내용을 '수업컨설팅 매뉴얼'의 형태로 담아내고자 하였다. 본고에서는 수업컨설팅의 의미를 점검하고, 설문 조사를 통하여 현행 수업컨설팅 운영 실태 및 문제점을 진단하고자 하였다. 또, 매뉴얼 개발을 위한 수업컨설팅 사례를 분석하여 이를 토대로 수업컨설팅 활성화를 매뉴얼을 개발하고 개발된 수업컨설팅 매뉴얼 활용 방안을 정책 제언으로 제안하였다. 다만, 본고에서는 지면관계상 수업컨설팅 활성화 매뉴얼 부문에서 '처방 및 투입 단계'에 초점을 두어 제시하였다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제25권4호
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• pp.267-284
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• 2022

In response to the current educational situation of students' heavy workload, the author constructs the precision-targeted classroom based on Precision Teaching (PT), Network Pharmacology, and Treatment Based on Syndrome Differentiation. The precision-targeted classroom can solve the current problems of PT and the phenomenon of the heavy academic burden on students, achieve the reduction of the burden and increase the efficiency of education. The precision-targeted classroom includes five key points: targeted goals, childlike thinking, precise intervention, intelligent homework, and stereoscopic evaluation, and the implementation process of the precision-targeted classroom is built from three aspects: before, during and after class. In addition, the author applied it to the actual mathematics classroom to test its teaching effect, and the experimental results showed that: the precision-targeted classroom significantly improved students' academic performance and thinking level; considerably improved students' classroom learning status, and facilitated teaching personalization and realized homework quantity control and quality improvement.

• 한국수학교육학회지시리즈A:수학교육
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• 제45권2호
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• pp.217-230
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• 2006

The purpose of this study is to inquire the building process of Pedagogical Content Knowledge of prospective mathematics teachers about the function concepts. For this purpose, We performed the following steps; First, we performed the survey relaying to the prospective mathematics teachers' teaching experiences, capabilities of their error evaluation of the students, and viewpoints about the function concepts. Second, we performed the survey on the subject-matter knowledge about the function concepts and the key items of designing teaching plans about the function concepts. And then, we interviewed the participants to check the results of the surveys and to supplement the necessary contents. The collected data was relatively correlative and analyzed in the process. As a result, we found the followings; First, subject-matter knowledge of prospective mathematics teachers about the function concepts is different depending on the grades. Second, prospective mathematics teachers are building more extended function concepts through the major subjects. Third, the major subjects are important to build the Pedagogical Content Knowledge of function concepts. Fourth, teaching experience plays an important role in transforming subject-matter knowledge of function concepts to Pedagogical Content Knowledge of it. Fifth, building the Pedagogical Content Knowledge means transferring the teacher's viewpoint from himself/herself to the learner.