• Title/Summary/Keyword: elementary Mathematics textbook

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A Study on the Application of Context Problems and Preference for Context Problems Types (유형별 맥락문제의 적용과 그에 따른 유형별 선호도 조사)

  • Kim, Sung-Joon;Moon, Jeong-Hwa
    • Journal of the Korean School Mathematics Society
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    • v.9 no.2
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    • pp.141-161
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    • 2006
  • In this study, we classified word problems related to real life presented in elementary mathematics textbooks into five types of context problems(location, story, project, scrap, theme) suggested by Freudenthal(1991), and applied context problems to mathematics class to analyze the influence on students' mathematical belief and attitude. Also, we examined the types of context problems preferred according to academic performance and the reasons of preference within a group experiencing context problems. The results of the study are as follows. First, almost lessons in the mathematics textbook presents word problems related to real life, but the presenting method is inclined to a story type. Also, the problems with a story type are presented fragmentarily. Therefore, although these word problems are familiar to the students, they don't include contextual meanings and cannot induce enough mathematical motives and interests. Second, a lesson using context problems give a positive influence on their mathematics belief and attitude. It is also expected to give a positive influence on students' mathematics learning in the long run. Third, the preferred types of context problems and the reasons of preference are different according to the level of academic performance within the experimental group.

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A Comparative Analysis of the Instructional Methods of Mixed Calculation of Natural Numbers in the Korean, Singaporean, and Japanese Textbooks (한국, 싱가포르, 일본 교과서에 제시된 자연수의 혼합 계산에 대한 지도 방안의 비교 분석)

  • Kim, SukJin;Yoon, HyeRin;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.21 no.3
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    • pp.289-307
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    • 2018
  • Although mixed calculation of natural numbers is important in that it completes arithmetic calculation of natural numbers in elementary school, few studies have been conducted regarding its instruction methods. Given this, this study analyzed Korean mathematics textbooks (from the fifth textbooks to the 2009 revised textbooks) along with Japanese and Singaporean textbooks in terms of the parentheses and the order of operations regarding mixed calculation of natural numbers. The results of this study showed that there were differences in introducing the parentheses and representing them in an explicit way per textbooks. In the Korean textbooks, the order of operations was presented mostly with the real-life contexts but it was not always in a diagrammatic representation. In contrast, in the Singaporean textbooks, the order of operations was presented without the real-life contexts and the use of calculators was emphasized. In the Japanese textbooks, the order of operations was presented with the real-life contexts and a hierarchy of operations was emphasized. Based on these results, this study suggested several implications of textbook development and instructional methods regarding mixed calculations of natural numbers.

Comparative Analysis of Elementary Mathematics Textbooks in Korea and China: Focused on the area of Geometry (우리나라와 중국의 초등수학 교과서의 도형영역 비교.분석)

  • Yu, Jaehyuk;Lee, Daehyun
    • Education of Primary School Mathematics
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    • v.16 no.1
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    • pp.57-70
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    • 2013
  • This study is aimed to compare the area of geometry of elementary mathematics textbooks in korea and china. Through this study, we would like to suggest some guidelines in order to develop geometric curriculum and textbooks in korea and to search for more efficient methods of learning mathematics. For this, we have looked through the general characteristics of geometry domain in mathematics curriculums and the textbooks in korea and china. Furthermore, we have found the similarities and differences while comparing specific contents in the two countries. The followings are the conclusions of this study. First, The mathematics curriculum in korea is divided into 'figure' domain, but the one in china is divided into 'space and figure' domain, which deals with figure and measurement. And china constructs the contents of the basic figure as a whole unit. Second, korea gives clear learning aims about contents whereas china gives learning activities. Lastly, when starting teaching a plain figure, korea focuses on checking and finding definitions and characters through fundamental figures. However, china focuses on figuring out components and the relations among them throughout various plain figure activities.

Effectiveness of G-learning Contents as an Educational Tool : The Analysis of G-learning Math in Elementary School (학습 도구로서 G러닝 콘텐츠의 활용과 학습 효과 분석 -초등학교 수학 교과 적용을 중심으로-)

  • Wi, Jong-Hyun;Song, In-Su
    • Journal of Korea Game Society
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    • v.11 no.3
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    • pp.55-62
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    • 2011
  • G-learning, based on online game, virtual reality activities and communities, is considered as a fresh, differentiated idea at learning which drives learners' interest and attention. The paper is to analyzed effectiveness of G-learning at the mathematics classes in elementary school. Fourth, fifth and sixth grade students in Seoul are selected as an experimental groups and their achievement scores are measured. The difference between G learning group and textbook group was significant. This result shows that G-learning has a positive effect on learning.

Comparative Analysis of the PCK of Teachers on Plane Figure and Their Educational Practice (평면도형에 대한 교사의 PCK와 수업 실제의 비교 분석)

  • Kwak, Ju-Cheol;Ryu, Heui-Su
    • School Mathematics
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    • v.10 no.3
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    • pp.423-441
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    • 2008
  • The purpose of this study was to examine the Pedagogical Content Knowledge(PCK) of teachers and their educational practice in the category of plane figure, to make a comparative analysis of their PCK and educational practice, and to discuss the relationship between their PCK and the characteristics of their instruction. Instruction of four selected elementary school teachers was analyzed to find out their educational practice. In conclusion, the characteristics of the PCK and actual instruction of the teachers could be listed as below: First, as a result of comparing their PCK and educational practice on plane figure by applying selected analysis criteria, there was a close correlation between their PCK and actual instruction. Second, the teachers had various levels of PCK on different areas. Especially, there was a large disparity in mathematical content knowledge and knowledge of teaching methods. Third, the teachers who had plenty of PCK were more excellent in textbook reconstructing, and those who fell behind in terms of PCK were more reliant on textbooks as if the textbooks had been the Bible.

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Comparative Research on Teaching Method for Multiplication by 2-Digit Numbers in Elementary Mathematics Textbooks of Korea, Japan, Singapore, and USA (한국, 일본, 싱가포르, 미국의 초등교과서에 제시된 곱하는 수가 두 자리 수인 자연수 곱셈 지도 내용의 비교 분석)

  • Choi, Eunah;Joung, Younjoon
    • Communications of Mathematical Education
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    • v.35 no.4
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    • pp.505-525
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    • 2021
  • In this study, we investigated how multiplication by 2-digit numbers had been taught in elementary mathematics textbooks of Korea, Japan, Singapore, and USA. As a result of analysis, we found as follows. Korean textbooks do not teach the multiplication by 10 and the multiplication by power of 10, but Japanese, Singapore, and US textbooks explicitly teach related content. In the '×tens' teaching, Japanese and American textbooks teach formally the law of association of multiplication applied in the process of calculating the partial product of multiplication. The standard multiplication algorithm generally followed a standard method of recording partial product result according to the law of distribution, but the differences were confirmed in the multiplication model, the teaching method of the law of distribution, and the notation of the last digit '0'. Based upon these results, we suggested some proposals for improving the multiplication teaching.

Analysis of STEAM Elements of Creative and Convergent Activities Presented in Elementary School Science Authorized Textbooks: Focusing on the 3rd and 4th Grade Group (초등학교 과학과 검정 교과용 도서에 제시된 창의·융합 활동의 STEAM 요소 분석: 3~4학년군을 중심으로)

  • Kim, Seong-Ryong;Park, Jeongwoo;Shin, Ae-Kyung
    • Journal of the Korean Society of Earth Science Education
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    • v.15 no.2
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    • pp.224-234
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    • 2022
  • The purpose of this study was to analyze STEAM elements and convergence types that appeared in the creative and convergent activities in elementary school science textbooks, which were converted from the national issuance system to the authorized system in 2022. For this study, 6 elementary school science textbooks for 3rd and 4th graders were selected. And STEAM elements in creative and convergent activities were analyzed by publishers, grade-semesters, and science fields, and the convergence type was analyzed for each publisher. The results of this study are as follows. First, the total frequencies of STEAM elements and the ratios of each element in the creative and convergent activities of textbooks were different for each publisher. However, among the four elements except for science (S) element in all publishers, the tendency to have a high proportion of art (A) element and a very low proportion of mathematics (M) element was common. Second, the higher the number of fused STEAM elements, the lower the rate of appearance in the textbooks in overall. Also the ratio of convergence types of STEAM elements varied by each publisher. Third, the ratio deviations of art (A), technology (T), and engineering (E) elements for each grade-semester were not large, but the ratio deviation of the mathematics (M) element was large. Fourth, technology (T) and engineering (E) elements appeared a lot in the fields of 'movement and energy' and 'material', while art (A) element appeared a lot in the fields of 'earth and universe', 'life', and 'integration'.

A Comparative Analysis of Introducing Addition and Subtraction in the Korean, Singaporean, American, and Japanese Elementary Textbooks (한국, 싱가포르, 미국, 일본의 초등학교 교과서에 제시된 덧셈과 뺄셈 도입에 대한 비교분석)

  • Pang, JeongSuk;Kim, Leena;Kim, SoHyeon
    • Communications of Mathematical Education
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    • v.36 no.2
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    • pp.229-252
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    • 2022
  • This study analyzed the introduction of addition and subtraction, including the composition and decomposition of numbers in the Korean, Singaporean, American, and Japanese elementary mathematics textbooks. The analytic foci of this study included visual models and their connections with the given problem contexts, the introduction of addition/subtraction or addition/subtraction sentences and their connections with the visual models, and additional activities for students to develop a relational understanding of the equal sign. The results of the analysis demonstrated diverse connections, mainly because the problem contexts, visual models, and the introduction of addition/subtraction or addition/subtraction sentences were implemented differently for each textbook. There were differences among the textbooks in what order of problem contexts were presented. Regarding the use of visual models, two textbooks tended to use one model consistently, whereas the other textbooks used various models depending on the problem contexts. There were subtle but significant differences in introducing addition/subtraction or addition/subtraction sentences. For a relational understanding of the equal sign, all textbooks included activities emphasizing that both sides of the equal sign are equal. Based on the results of this study, this paper closes with several implications related to the problem contexts to introduce addition/subtraction and addition/subtraction sentences as well as the use of visual models, which can serve as a basis for a new unit for the subsequent textbook.

The Application of Elimination Method for Teaching the Cube-Accumulation (쌓기나무 지도를 위한 부분제거법의 적용)

  • Chang, Hye-Won;Kang, Jong-Pyo
    • Journal of Educational Research in Mathematics
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    • v.19 no.3
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    • pp.425-441
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    • 2009
  • The cube-accumulation is a new theme included in the 7th elementary mathematics curriculum for improving children's spatial ability. One activity of the cube-accumulation is to recognize the configuration of accumulated cube given three plane figures in the directions of the above, the front and the side, respectively. The approach to this activity presented in the mathematics textbook is more or less intuitive and constructive, and difficult to some children. So we suggest an alternative, more analytic method, 'elimination method', that is eliminating unnecessary parts from $n{\times}n{\times}n$ whole cubes. This method was adopted to the 32 sixth graders, in special five applicants among them. Their responses and activities were analyzed. We confirm that we can teach the cube-accumulation by the elimination method, and some children prefer this method. 13u1 this method requires more exercises to be executed skillfully.

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A study on literature review of mathematical modeling in mathematical competencies perspective (수학 교과 역량 관점에서의 수학적 모델링에 관한 선행 연구 탐색)

  • Choi, Kyounga
    • Journal of the Korean School Mathematics Society
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    • v.20 no.2
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    • pp.187-210
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    • 2017
  • The animated discussion about mathematical modeling that had studied consistently in Korea since 1990s has flourished, because mathematical modeling was involved in the teaching-learning method to improve problem solving competency on 2015 reformed mathematics curriculum. In an attempt to re-examine the educational value and necessity of application to school education field, this study was to review the literature of mathematical modeling in mathematical competencies perspective. As a result, mathematical modeling could not only be involved the components of problem solving competency, but also support other competencies; reasoning, creativity-amalgamation, data-processing, communication, and attitude -practice. In this regard, This paper suggested the necessity of the discussion about the position of mathematical modeling in mathematical competencies and the active use of mathematical modeling tasks in mathematics textbook or school classes.

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