• Journal of Korean Elementary Science Education
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• v.41 no.4
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• pp.627-641
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• 2022

This study aims to help elementary school teachers increase their knowledge about the changes in the positions of the sun and moon during the day and the first time the moon observation begins in the Earth and Space section of the Earth and the Moon. The survey questions were grouped into four categories, namely, textbook explanation, inquiry activities, achievement of learning goals, and other opinions. The perception of each question differed according to advanced science majors and teaching careers and experiences of this unit. In addition, understanding the diverse views of the participants using descriptive questions was possible. The study recruited 67 teachers working at an elementary school in Gyeonggi-do. The conclusion is as follows. First, the teachers exhibited similar positive and negative perceptions about the description of the textbook on the changes in the positions of the sun and moon during the day. Second, the study found that majority of teachers used alternative methods when guiding students regarding the change in the positions. This trend was not correlated with the sun and the moon, and the study observed no difference in advanced majors and teaching careers and experience of this unit. Third, the majority of teachers responded that they could achieve their learning goals through this learning. However, many teachers complained of various difficulties in guiding students about the lesson, and the majority alternative methods. The results demonstrated the perception of teachers that students can achieve learning goals through alternative methods without direct observation.

• The Mathematical Education
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• v.59 no.2
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• pp.147-166
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• 2020

Textbooks are important resources in support of teaching and learning mathematics competencies which are emphasized in the most recently revised mathematics curriculum. This study analyzed how six mathematics competencies and their sub-elements are implemented in the mathematics textbooks for the fifth and sixth grades. A total of 465 activities or items in the targeted textbooks were analyzed. The findings of this study showed that both the communication competence and the reasoning competence were the most frequent competencies, followed by the problem solving competence. In contrast, the other three competences (i.e., creativity and integration, attitude and practice, and information processing) were less popular. Detailed analyses of sub-elements according to each competence revealed that one or two specific sub-elements were emphasized within a competence. Whereas "expressing one's idea" was the most prevalent sub-element in the communication competence, both "analyzing mathematical facts" and "observation and conjecture" were the most frequent in the reasoning practice. Specific sub-elements were jointly implemented within or across competences. "External connections of mathematics and integration" in the creativity and integration competence was carried out in relation to "recognition of values" in the attitude and practice competence. This paper also included some examples of activities or items showing how specific sub-elements of each competence were reflected on. This study is expected to provide implications on how to implement mathematics competencies throughout the textbooks.

• Journal of Korean Elementary Science Education
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• v.42 no.1
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• pp.47-63
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• 2023

In this study, we analyzed the PCK components in the materials units of the third and fourth grades of the Korean government-authorized teacher's guides for elementary school, developed in the 2015 revised national curriculum. The results showed that the PCK components were presented in a relatively balanced manner compared to the teacher's guides for middle school. Knowledge of the subject matter accounted for the highest proportion, and knowledge of instructional strategies in science accounted for a higher proportion than knowledge of the science curriculum. The knowledge of assessment in science showed the greatest deviation among publishers, and knowledge of students tended to show the lowest. By subcomponents, experiments and inquiries had a higher proportion than concepts and theories. The ratio of horizontal articulation was lower than that of vertical articulation or lesson objectives, and lesson objectives were presented in various ways, such as in core competencies and achievement standards for science. As questioning was emphasized, teaching strategies and questioning appeared at a similar rate. Motivation and interest, misconceptions were linked to teaching strategies and questioning. In some cases, assessment items and assessment criteria were presented at each level, and various PCK components were linked to these two components. Components with relatively large differences among publishers were supplementary or in-depth concepts, inquiry in textbooks, instruction sequence and method, subject-specific strategies, and assessment items. From the results, the implications for the development of teacher's guides were discussed.

• Communications of Mathematical Education
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• v.35 no.4
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• pp.527-546
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• 2021

The purpose of this study is to reveal what mathematics teachers focus on and how they assess students' thinking during lessons enacted. For this purpose, we googled and searched internet sites to collect formative assessment materials for the year 2014 to 2019. The formative assessment tasks data were analyzed according to the levels cognitive demand levels and tasks suggested in textbooks in terms of degrees to which how they are related. The data analysis suggested as follows: a) most of the formative assessment tasks were at the low-level, in particular, PNC level tasks that require applying particular procedures without connections to concepts and meaning underlying the procedures, b) the assessment tasks appeared to be very similar to the tasks suggested in the secondary mathematics textbooks, and c) it seemed that 3 types of formative assessment, observation notes, self-assessment, and peer-assessment were dominantly utilized during mathematics lessons and these different types of formative assessment were employed apparently to find out whether students participated actively in class and in group activity, not how they go through understanding or thinking processes.

• School Mathematics
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• v.8 no.4
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• pp.397-415
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• 2006

This paper is to find out the reason why students often make mistakes with 0 during computation and to get some instructional implication. For this, history of 0 is reviewed and mathematics textbook and workbook are analyzed. History of 0 tells us that the ancients had almost the same problem with 0 as we have. So we can guess children's problems with 0 have a kind of epistemological obstacles. And textbook analysis tells us that there are some instructional problems with 0 in textbooks: method and time of introducing 0, method of introducing computational algorithms, implicit teaching of the number facts with 0, ignoring the problems which can give rise to errors with 0. Finally, As a reult of analysis of Japanese and German textbooks, three instructional implications are induced:(i) emphasis of role of 0 as a place holder in decimal numeration system (ii) explicit and systematic teaching of the process and product of calculation with 0 (iii) giving practice of problems which can give rise to errors with 0 for prevention of systematical errors with 0.

• Communications of Mathematical Education
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• v.30 no.3
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• pp.353-374
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• 2016

Communication is one of 6 core competencies suggested newly in mathematics curriculum revised in 2015 in Korea. Also, it's importance has been emphasized through NCTM and CCSSI. By the subject of Mathematics in Context(MiC) textbook, this study planned to explore the communication elements according to the types of communication such as discourse, representation, operation. Namely, this study dealt with 316 questions in a total of 34 tasks relevant to function content in the MiC textbook, and this study explored the communication elements on the questions of each task. To accomplish this, this study first of all was to reconstruct and establish an analytic framework, on the basis of 'D.R.O.C type' of communication developed by Kim & Pang in 2010. In addition, based on the achievement standards of function domain in mathematics curriculum revised in 2015 in Korea, this study basically compared with the function content included in MiC textbook and Korean mathematics curriculum document. Also, it tried to explore the distribution of communication elements according to the types of communication.

• The Mathematical Education
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• v.29 no.2
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• pp.117-139
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• 1990

본 연구는 국민 학교 산수 익힘책의 효율적인 활용 방안을 찾는 데 목적이 있으며, 이를 위하여 선행 및 문헌 연구와 "산수 익힘책"의 활용 실태를 조사하였다. 본 연구에서 수행한 연구 내용을 요약하면 다음과 같다. 가. 이론적 배경 연구 및 산수 익힘책의 개발 방향 문헌과 선행 연구를 통하여 보조 교과서의 특성에 따를 활용 방안 및 보조 교과서의 학습 내용에 따른 틀용 방안을 이론적으로 고찰하였고, "산수 익힘책"의 개발 방향 및 그 특색에 대하여 조사하였다. 나. 활용 실태 조사 사용하고 있는 "산수 익힘책"의 활용 실태를 파악하여, 활용 방안을 마련하는 기선 자료를 수집하기 위함이며, 조사 내용은 다음과 같다. 1) 조사 내용 (1) 교사의 측면에서 ㆍ "산수 익힘책"의 도움 정도 ㆍ "산수 익힘책"의 수업 시간에의 활응 목적, 방법 ㆍ "산수 익힘책"의 활용시 편리성 ㆍ 흥미성 ㆍ 활용 시기 ㆍ 가정 학습으로 부과시의 목적 ㆍ 문제 풀이 결과 확인자 ㆍ 교육 과정 반영 정도 ㆍ 개선점 (2) 학부모의 측면에서 ㆍ"산수 익힘책"의 활용 목적 ㆍ "산수 익힘책"의 활용 정도 ㆍ "산수 익힘책"의 도움 정도 ㆍ 학부모의 역할 정도 ㆍ "산수 익힘책"에 대한 학생의 흥미도 ㆍ "산수 익힘책"의 개선점 2) 조사 도구 조사 내용에 대하여 국민 학교 1, 2, 3학년 담임 교사용과 학부모용의 질문지를 각각 작성하여 전문가의 검토를 거쳐 "산수 익힘책"의 활용에 관한 실태 조사지를 개발하였다. 이 때, 각 학년별 교사용끼리, 학부모용끼리의 질문지의 문항은 서로 같게 하였으며 교사용은 25문항, 학부모용은 16문항으로 구성하였다. 다. 활용 방안 구안 "산수 익힘책"의 개발 방향과 "산수 익힘책"의 활용 실태 조사에 기초하여 산수 익힘책의 효율적인 활용 방법을 수업 절차에 따라 구분하였다. 수업 절차는 여러 가지 형태가 있지만 본 연구에서는 KEDI의 수업 과정 일반 모형에 준하여 산수 익힘책의 활용 방법을 구안하였다. 라. 활용 방안을 구안하였다. 1) 적용 목적 구안된 "산수 익힘책"의 활용 방안의 현장 적용은 활용 방안의 질을 높이려는 대에 중요한 목적이 있다. 적용 결과는 현장 적용 가능성을 판단할 수 있는 입증 자료가 될 수 있을 뿐만 아니라, "산수 익힘책" 관심을 가지고 있는 교사나 연구자에게 학력 향상 가능성에 대한 경험적 근거를 제시함으로써 중요한 시사를 줄 수 있을 것이다. 2) 적용 결과 전체적으로 적응 수업이 실시된 지 3주후 부터는 활용 방안에 익숙해져 "산수 익힘책"을 효과적으로 활용할 수 있었다. 그 뿐만 아니라 자율학습시 학생들 스스로가 상호 확인을 하고, 서로 결손이 있는 부분을 가르쳐 주는 협동 학습이 이루어졌다.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.63-95
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• 2012

Since performance assessment was implemented for 10 years, a survey has been carried out from 212 elementary school teachers in Seoul area in terms of their perception and status about descriptive assessment. As results, most of teachers agreed strongly that using constructed-response items is necessary for assessment, and they showed that purpose of using constructed-response items in their mathematics classrooms was to evaluate accurately student achievement in accordance with learning objectives in mathematics and they referred mainly to items which they modified from problems or items in the textbook when they generate constructed-response items. In addition, they considered level of difficulty in creating constructed-response items mostly. Moreover, they indicated that the effects of assessment through constructed-response items would be improvement of students' problem solving and reasoning skills.

• School Mathematics
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• v.8 no.1
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• pp.69-88
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• 2006

It is well known that the low achievement students are easily affected by the ways how the materials are organized and presented. So the studies on trying to find how those students' responses are differed according to the organization or presentation of the materials are necessary. This paper was based on the results of Korean Elementary 3 Grade Students National Diagnosis Assessment on Basic Scholastic Ability in area of mathematics. We analyzed students responses through combining the percents of correct answers with the assessment items. After that, we identified the properties of low achievement students in mathematics and presented some guides which, we thought, are helpful for improvements of mathematics textbooks and teacher guide books.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.803-822
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• 2009

Creativity is emerging as one of the key components in every areas. In mathematics education, creativity or mathematical creativity is emphasized even though the definition of the term is inconsistence among every research. The purpose of this research was to identify the nature of mathematical creativity and provide the ways of strengthening it in the mathematics classroom. For this, students' mathematical strategies and problems in the elementary mathematics textbook were analyzed. The results showed that mathematically gifted students used a limited strategies and the problems in the textbooks were too simple to stimulate students' mathematical creativity. For the enhancement of students' mathematical creativity, we need to develop mathematically rich tasks and refine teacher education programs.