• Title/Summary/Keyword: value in mathematics learning

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A Construction of 'Decimal Fraction' Unit of Elementary Mathematics Textbook and Analysis of Students' State of Understanding Based on Measurement Activity (초등수학에서 측정활동에 기반한 소수의 학습.지도 방안 및 학생의 이해 실태 분석)

  • Kim, Eun Jung;Kang, Heung Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.37-62
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    • 2014
  • In this thesis, we inquire into teaching method of decimal fraction concept in elementary mathematics education based on measurement activity. For this purpose, our research tasks are as follows: First, we design a experimental learning-teaching plan of 'decimal fraction' unit in 4th grade textbook and verify its effect. Second, after teaching experiment using experimental learning-teaching plan, we analyze the student's status of understanding about decimal fraction concept. As stated above, we have performed teaching experiment which is ruled by new lesson design and analysed the effects of teaching experiment. Through this study, we obtained the following results. First, introduction of decimal fraction based on measurement activity promotes student's understanding of measuring number and decimal notation. Second, operator concept of decimal fraction is widely used in daily life. Its usage is suitable for elementary mathematics education within the decimal notation system. Third, a teaching method of times concepts using place value expansion of decimal fraction is more meaningful and has less possibility of misunderstanding than mechanical shift of decimal point. Fourth, teaching decimal fraction through the decimal expansion helps students with understanding of digit 0 contained in decimal fraction, comparing of size and place value. Fifth, students have difficulties in understanding conversion process of decimal fraction into decimal notation system using measurement activity. It can be done easily when fraction is used. However, that is breach to curriculum. It is necessary to succeed research for this.

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A Comparative Study on 2011 Reformed Elementary School Mathematics Curriculum Between Korea and China (2011년 발표된 한국과 중국의 초등학교 수학과 교육과정 비교 분석)

  • Suh, Bo Euk
    • Education of Primary School Mathematics
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    • v.18 no.1
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    • pp.1-16
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    • 2015
  • This study is a comparative study on the Korean and Chinese elementary school mathematics curriculum. Korea and China have announced a new mathematics curriculum in 2011, and have recently carried out in the whole school year. Korea and China are the countries to manage the national curriculum. The comparison with China is significant because of the similarity of our tradition and culture. In addition, the influence of Chinese education has been increasing gradually. Thus, the curriculum comparison between China and Korea has a significant value. Through this study, I extract the significant implications of mathematics education in Korea. This study can be summarized as the following. First, I have analyzed the elementary mathematics curriculum document systems in Korea and China. Second, I compared the goals of mathematics education in Korea and China. Third, this study compared the content areas and learning in elementary school mathematics curriculum in Korea and China. Fourth, I have analyzed the teaching and learning methods and the assessment of Korea and China. Finally, we compared and analyzed the proposed points for action set out in elementary school mathematics curriculum courses in Korea and China. The results of this study are expected to provide significant implications for the new curriculum document structure and mathematical contents of Korea.

A Study on the Meaning of Average Values and Its Teaching Statistics Area (통계 영역에서 대표값의 의미와 지도에 관한 고찰)

  • 박영희
    • School Mathematics
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    • v.3 no.2
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    • pp.281-294
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    • 2001
  • As a measure of the center of data, arithmetical mean, median, mode, harmonic mean and geometric mean are generally used. Students must learn qualitative aspect of average values as well as its calculation for its adequate use. As the result of the learning, they should be able to select the appropriate average value according to the characteristic of data and problem context. For this object, the historical origin and visual interpretation of average values were introduced in this paper. And to help teaching several meanings of average values, several examples including context were suggested.

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The Effects of Mathematical Problem Solving with Multiple Strategies on the Mathematical Creativity and Attitudes of Students (다전략 수학 문제해결 학습이 초등학생의 수학적 창의성과 수학적 태도에 미치는 영향)

  • Kim, Seoryeong;Park, Mangoo
    • Education of Primary School Mathematics
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    • v.24 no.4
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    • pp.175-187
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    • 2021
  • The purpose of this study is to investigate the effects of solving multi-strategic mathematics problems on mathematical creativity and attitudes of the 6th grade students. For this study, the researchers conducted a survey of forty nine (26 students in experimental group and 23 students in comparative group) 6th graders of S elementary school in Seoul with 19 lessons. The experimental group solved the multi-strategic mathematics problems after learning mathematics through mathematical strategies, whereas the group of comparative students were taught general mathematics problem solving. The researchers conducted pre- and post- isomorphic mathematical creativity and mathematical attitudes of students. They examined the t-test between the pre- and post- scores of sub-elements of fluency, flexibility and creativity and attitudes of the students by the i-STATistics. The researchers obtained the following conclusions. First, solving multi-strategic mathematics problems has a positive impact on mathematical creativity of the students. After learning solving the multi-strategic mathematics problems, the scores of mathematical creativity of the 6th grade elementary students were increased. Second, learning solving the multi-strategy mathematics problems impact the interest, value, will and efficacy factors in the mathematical attitudes of the students. However, no significant effect was found in the areas of desire for recognition and motivation. The researchers suggested that, by expanding the academic year and the number of people in the study, it is necessary to verify how mathematics learning through multi-strategic mathematics problem-solving affects mathematical creativity and mathematical attitudes, and to verify the effectiveness through long-term research, including qualitative research methods such as in-depth interviews and observations of students' solving problems.

Establishment of Affective Achievement Criteria and Investigation of 8th Grade Students' Affective Characteristics in Mathematics (수학에서의 정의적 성취 판단을 위한 기준 점수 설정 및 중2 학생들의 성취 특성)

  • Kim, Sun-Hee
    • Journal for History of Mathematics
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    • v.24 no.3
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    • pp.145-163
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    • 2011
  • This study sets the cut points of affective achievement scores based on the criteria referenced assessment. The modified Angoff method is applied to the standardized mathematics affect inventory which had validity and reliability. The cut points are set for 6 factors i.e. learning directivity, self control, anxiety, interest, cognizing value and confidence. As the results, among percentages of factor that middle school 2nd grade students in Korea achieved, the proportion of cognizing value is the highest. And there are no difference of the proportions as for gender, differentiated instruction, and region.

A study on categories of questions when holding counselling on learning math in regards to grounded theoretical approaches (근거이론적 접근에 따른 수학학습 상담 발문 유형에 대한 연구)

  • Ko, Ho Kyoung;Kim, Dong Won;Lee, Hwan Chul;Choi, Tae Young
    • Journal of the Korean School Mathematics Society
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    • v.17 no.1
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    • pp.73-92
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    • 2014
  • This study was performed in part with the task to find measures to improve the defining characteristics of feelings, value, interest, self-efficacy, and others aspects in regards to learning math among elementary and middle school students. For this study, it was essential to understand the appropriate questions that are needed to be asked during a consultation at a math clinic, for students that are having a hard time learning math. As a method for performing this study, the content of scheduled counseling over 2 years from a math clinic were collected and the questions that were given and taken were analyzed in order to figure out the types of questions needed in order to effectively examine students that are facing difficulty with learning math. The analysis was performed using Grounded theory analysis by Strauss & Corbin(1998) and went through the process of open coding, axial coding, and selective coding. For the paradigm in the categorical analysis stage, 'attitude towards learning math' was set as the casual condition, 'feelings towards learning math' was set as the contextual condition, 'confidence in one's ability to learn math' was set as the phenomenon, 'individual tendencies when learning math' was set as the intervening condition, 'self-management of learning math' was set as the action/interaction strategy, and 'method of learning' was set as the consequence. Through this, the questions that appeared during counseling were linked into categories and subcategories. Through this process, 81 concepts were deducted, which were grouped into 31 categories. I believe that this data can be used as grounded theory for standardization of consultation in clinics.

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A Study on a Home Teaching Method to Prevent Slow Learner in Elementary School Mathematics (수학 학습부진아 예방을 위한 가정학습 효율화 방안 연구)

  • 이영하;박희연
    • The Mathematical Education
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    • v.40 no.2
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    • pp.195-215
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    • 2001
  • The purpose of this paper is to present a specific set of home teaching methods in hopes to prevent slow learner of the elementary mathematics. This paper deals with the number and operations, one of five topics in the elementary mathematics A survey of two hundred elementary school teachers was made to see the teacher's opinions of the role of home studying and to concretize the contents of the research topics. There were asked which is the most essential contents for the concrete loaming and which is the most difficult monad that might cause slow leaner. And those were found to be; counting, and arithmetic operations(addition and subtraction) of one or two-digit numbers and multiplication and their concepts representations and operations(addition and subtraction) of fractions. The home teaching methods are based on the situated learning about problem solving in real life situations and on the active teaming which induces children's participation in the process of teaching and learning. Those activities in teaching each contents are designed to deal with real objects and situations. Most teaching methods are presented in the order of school curriculum. To teach the concepts of numbers and the place value, useful activities using manipulative materials (Base ten blocks, Unifix, etc.) or real objects are also proposed. Natural number's operations such as addition, subtraction and multiplication are subdivided into small steps depending upon current curriculum, then for understanding of operational meaning and generalization, games and activities related to the calculation of changes are suggested. For fractions, this paper suggest 10 learning steps, say equivalent partition, fractional pattern, fractional size, relationship between the mixed fractions and the improper fraction, identifying fractions on the number line, 1 as a unit, discrete view point of fractions, comparison of fractional sizes, addition and subtraction, quantitative concepts. This research basically centers on the informal activities of kids under the real-life situation because such experiences are believed to be useful to prevent slow learner. All activities and learnings in this paper assume children's active participation and we believe that such active and informal learning would be more effective for learning transfer and generalization.

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A Case Study on the Students' Characteristics toward Mathematics with Problem Posing Activities (문제 만들기 활동과 학습자의 정의적 특성에 관한 연구)

  • Park, Aram;Park, Younghee
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.1
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    • pp.93-114
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    • 2018
  • The purpose of this study was to analyze mathematical the effects of problem posing activities on students' characteristics toward mathematics to encourage active learning. We will also examine various examples of the characteristics of the problems made by students with different mathematical characteristics. We chose one 6th grade group to conduct this research. From the results of this study, we obtained the following conclusions. First, problem posing activities are effective in improving students' mathematical interest and confidence, value recognition. Second, Students with different mathematical characteristics showed different results in problem posing activities. We confirmed the effectiveness of problem posing activities on students' positive characteristics of mathematics. In this regard, we were able to confirm examples of various problems that students made. In the future, we would like to propose generalization by conducting research on students of various school ages.

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Elementary Math Textbooks and Real Life Comparative Analysis of Representations for Length and Time (초등 수학 교과서와 실생활에서 나타나는 길이와 시간에 대한 표현 비교 분석)

  • Kang, Yunji
    • Education of Primary School Mathematics
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    • v.25 no.3
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    • pp.233-249
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    • 2022
  • Measurement plays an important role in both school mathematics and real life. Among the measurement areas, length is the first to learn and is the basis for measurement. Time is measured in its own way and is characterized by being the most abstract. This study attempted to analyze elementary mathematics textbooks and representations in real life to examine how the length and time of learning in school mathematics differ from those represented in real life. Based on this, we tried to derive implications for the direction of measurement education and elementary math textbooks. As a result of the analysis, the concept of length was used the same in real life and school mathematics. However, terms such as distance, depth, and height were not defined, and the representation of the approximate value was presented in a fragmentary form. In addition, there were parts where students were likely to feel confused in school mathematics and real life, such as the same units such as 'minutes and seconds' were used in time. Therefore, considering these differences, it is necessary to consider the direction of composition of math textbooks and teaching and learning so that students can connect school mathematics and real life and understand widely about measurement concepts.

Analysis of Mathematical Structure to Identify Students' Understanding of a Scientific Concept: pH Value and scale

  • Park, Eun-Jung;Choi, Kyung-Hee
    • Journal of The Korean Association For Science Education
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    • v.30 no.7
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    • pp.920-932
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    • 2010
  • Many topics in science, especially, abstract concepts, relationships, properties, entities in invisible ranges, are described in mathematical representations such as formula, numbers, symbols, and graphs. Although the mathematical representation is an essential tool to better understand scientific phenomena, the mathematical element is pointed out as a reason for learning difficulty and losing interests in science. In order to further investigate the relationship between mathematics knowledge and science understanding, the current study examined 793 high school students' understanding of the pH value. As a measure of the molar concentration of hydrogen ions in the solution, the pH value is an appropriate example to explore what a student mathematical structure of logarithm is and how they interpret the proportional relationship of numbers for scientific explanation. To the end, students were asked to write their responses on a questionnaire that is composed of nine content domain questions and four affective domain questions. Data analysis of this study provides information for the relationship between student understanding of the pH value and related mathematics knowledge.