• Title/Summary/Keyword: mathematics learner

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An improvement plan of mathematics academic achievement in the H/W curriculum (하드웨어 전공자들의 수학 관련 교과목 학업성취도 제고 방안)

  • Lee, Seung-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.4
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    • pp.801-812
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    • 2015
  • The purpose of this study is to increase the interest in mathematics-related curriculum and improve mathematics academic achievement of H/W majors. Firstly, this paper proposes the educational case study that develops the learner's ability, increases the interest and raises the employment rate in the unfavorable mathematics-related fields for the H/W majors. Secondly, this paper presents the future teaching method on mathematics-related curriculum that applies to the actually teaching-learning based on the computer programming in the field of the H/W. Lastly, this paper suggests the promising pedagogical method for mathematics by using the statistical analyses of academic achievements and surveys in order to present the effective conducting method of mathematics education.

An Analysis on the Example Spaces of the Concepts of Triangles in the Korean Elementary Mathematics Textbooks (초등 수학교과서의 삼각형의 개념에 대한 예 공간의 분석)

  • Park, Man-Goo
    • Journal of the Korean School Mathematics Society
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    • v.13 no.1
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    • pp.143-161
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    • 2010
  • The purpose of this paper was to analyze the example spaces related with the concepts of triangles in the 2nd grade Korean elementary mathematics textbooks, investigate the meaning of example spaces, and suggest the implications to teaching and learning geometrical concepts in the elementary schools. Mathematics textbooks are usually major materials in teaching and learning mathematics in Korea, and the content of the textbooks affects the quality of teaching and learning in the classroom. The results of the study showed that the Korean elementary textbooks provided examples with limited example spaces concerning the concepts of triangles. The researcher suggested that we should provide rich examples spaces, encourage learner-generated example spaces, and strengthen the connections of examples between in textbooks and in the classroom.

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Elementary School Students Who Give Up on Learning Mathematics: Correlations with Non-cognitive Learner Characteristics (초등학생의 수학학습 포기 인식과 정의적 요인 연관성 분석)

  • Ko, Ho Kyoung;Kim, Hyung Won;Kaji, Shizuo;Choi, Suyoung
    • Education of Primary School Mathematics
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    • v.20 no.2
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    • pp.143-151
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    • 2017
  • An increasing number of students are giving up on learning mathematics at all grade levels, including elementary school. The study in this paper considers seven non-cognitive student characteristics to identify which are strongly correlated with giving up on mathematics at the elementary school level. Data were collected with a survey on the non-cognitive domain of mathematics learning that was developed by the Korea Foundation for the Advancement of Science and Creativity in 2015. The data were collected from 3,636 elementary school students in Korea, and we analyzed the data using the statistical computing program R. Of the seven components, efficacy and interest have a strong correlation with students' tendency to profess that they have given up trying to learn mathematics. The findings of the study shed light on which non-cognitive domain areas mathematics teachers need to pay more attention to in order to make their teaching effective. This study further investigated the correlation between responses to each of the 24 survey items and students' claim that they have given up on mathematics. Using the 8 items with the highest correlations, we have developed a shorter, 8-item version of the survey, which will be useful for similar future studies.

Toward Students' Full Understanding of Trigonometric Ratios

  • Yi, Jung-A;Yoo, Jae-Geun;Lee, Kyeong Hwa
    • Research in Mathematical Education
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    • v.17 no.1
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    • pp.63-78
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    • 2013
  • Trigonometric ratios are difficult concepts to teach and learn in middle school. One of the reasons is that the mathematical terms (sine, cosine, tangent) don't convey the idea literally. This paper deals with the understanding of a concept from the learner's standpoint, and searches the orientation of teaching that make students to have full understanding of trigonometric ratios. Such full understanding contains at least five constructs as follows: skill-algorithm, property-proof, use-application, representation-metaphor, history-culture understanding [Usiskin, Z. (2012). What does it mean to understand some mathematics? In: Proceedings of ICME12, COEX, Seoul Korea; July 8-15,2012 (pp. 502-521). Seoul, Korea: ICME-12]. Despite multi-aspects of understanding, especially, the history-culture aspect is not yet a part of the mathematics class on the trigonometric ratios. In this respect this study investigated the effect of history approach on students' understanding when the history approach focused on the mathematical terms is used to teach the concept of trigonometric ratios in Grade 9 mathematics class. As results, the experimental group obtained help in more full understanding on the trigonometric ratios through such teaching than the control group. This implies that the historical derivation of mathematical terms as well as the context of mathematical concepts should be dealt in the math class for the more full understanding of some mathematical concepts.

A Study on the Development and Application of the Learning Material for Mathematics Optional Activities. - Focused on 8-ga Grade - (수학 교과 재량활동에 대한 학습자료 개발 및 적용에 관한 연구 -8-가 단계를 중심으로-)

  • 유희식;박달원
    • Journal of the Korean School Mathematics Society
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    • v.5 no.2
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    • pp.71-82
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    • 2002
  • This study purported to develop the learning materials for the optional activities of mathematics, apply them to the students, and examine the effect on the learner's interest and attitude to mathematics. In order to conduct this study, the learning materials for the mathematics optional activities were developed according to the units of grade 8-Ga and the developed learning materials of the mathematics optional activities were inputted in two classes for 18 units after the second grade middle school students in Daejeon area received the questionnaire regarding the learning attitude and the interest in the mathematics. After that, the questionnaire regarding the learning attitude and the interest in the mathematics and the examination regarding the response to the application of the learning materials for mathematics optional activities were conducted and did t-test. The results of the study as follows : First The learning materials applied exciting games for mathematics optional activities aroused interest in mathematics and made the learners have confidence in mathematics learning. Second, There was affirmative change in the interest and attitude to the mathematics learning with the application of the mathematics optional learning materials. Third The leaning materials of the mathematics optional activities made the learners think mathematical questions connected with the real life and try various ways to solve the questions. Here are some suggestions to study the development of the learning materials such as story, game, quiz and craft. First it is necessary to develop the learning materials applied the games or the real life matters connected with mathematics for all grade middle school students and use them in the mathematics optional activities. Second, many students feel a great interest in animation. moving picture, sound graphic, etc. If the multimedia learning materials included the real life matters or the games are developed, the learners will feel more interest in mathematics. Third, the systematic and economical support is continuously needed in order that teachers are given much time to study and the opportunity to attend the training course for the understanding of the optional activities and the development of the various learning materials.

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An Inquiry on the Building Process of Pedagogical Content Knowledge of Prospective Mathematics Teachers -centered at function concepts- (수학과예비교사들의 교수학적지식 형성 과정 탐구 -함수 개념을 중심으로-)

  • Kang Yun-Soo;Jun Sung-A
    • The Mathematical Education
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    • v.45 no.2 s.113
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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.

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A Note on Teaching Method of Addition and Subtraction between Korea and New Zealand Primary School (한국과 뉴질랜드 초등학교 저학년의 덧셈과 뺄셈 지도방법에 관한 고찰)

  • Choi, Chang Woo
    • East Asian mathematical journal
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    • v.31 no.4
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    • pp.505-525
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    • 2015
  • The purpose of this study is to analyze teaching method of addition and subtraction of whole number in Korea and New Zealand lower grade textbook and to get some suggestive points to develop mathematics curriculum and for a qualitative improvement of textbook. To do this, we will analyze focusing on teaching material, type and method of teaching, cases of real teaching and in the case of New Zealand, we will analyze portfolios together to see what kind of things do they deal with related to addition and subtraction. From these analyzing, the results are as follows: First, the guideline of accomplishment of group of year are stated in 2009 revised curriculum in Korea but it is rough. On the other hand, the level of accomplishment from kindergarten to high school are stated divided by eight kinds of thing in New Zealand curriculum. Second, there were common and different points in the aspect of teaching material. The common points are that both of our Korea and New Zealand are using materials related to real life intimately and the diifferent points are to use technology such as calculator and computer. They are more widely used in New Zealand than our Korea. Third, Korea had used routine method mainly but New Zealand had used method to develop creativity of learner such as to write problem corresponding to expression, posing problem corresponding to information, to complete table and find pattern and to write word problem to explain pattern and so on. Fourth, we could see special calculation strategies in the case of teaching addition and subtraction such as concept of double, compensation, various strategy based on counting of number, addition of the same number, magic square, near-double which are not finding in our mathematics textbook. Fifth, in the New Zealand textbook they had used teaching methods inducing curiosity of learner such as finding message and puzzle problem than solving given problem simply.

Effect of Mathematics Instruction Based on Constructivism on Learners' Knowledge Generation Level and Reasoning Ability - Focusing on 4th Grade Fraction (구성주의를 반영한 수학 수업이 학생의 지식 생성 수준 및 추론능력에 미치는 영향 - 초등학교 4학년 분수를 중심으로 -)

  • Lee, Eungsuk;Kim, Jinho
    • Education of Primary School Mathematics
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    • v.19 no.1
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    • pp.79-112
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    • 2016
  • The purpose of this research is to find the effects of learner-centered instruction based on constructivism (LCIC) on their knowledge generation level and reasoning ability. To look for them, after fraction units are re-planed for implementing LCIC, instructions using it provide students in a class. From the data, some conclusions can be drawn as follows: LCIC has more positive influence of students on recall ability, generation ability, and reasoning ability than tractional instruction method. With the data it can be said that the interaction exists between learners' reasoning ability and generation level.

The Influence of Textbooks Applying Gamification Motivation Strategy on Learners' Interest: Social Textbooks for 3rd Graders in Elementary School (게이미피케이션 동기 전략을 적용한 교과서가 학습자의 흥미에 미치는 영향: 초등 3학년 사회 교과서를 중심으로)

  • Bang, Mi-Hyang
    • Journal of Digital Convergence
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    • v.19 no.6
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    • pp.29-38
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    • 2021
  • The social studies, mathematics, and science textbooks of the elementary curriculum will begin to be authorized from 2022. This study explores the effect of textbooks based on a gamification motivation strategy on learner interest. For this purpose, this study analyzes whether the systematic application of the gamification motivation strategy to elementary studies textbooks, which will be authorized from 2022, can develop this textbook into a "learner-centered curriculum book that induces interest." More specifically, this study applied Kumsung Publishing's experimental social studies textbooks in class and conducted a questionnaire among 121 third graders to verify the effectiveness of the textbooks. The results show that studies textbooks based on a gamification motivation strategy greatly influence increased learner interest in the classroom. The textbooks also represent a positive influence in learner understanding, interest, and curiosity regarding the class content and assistance. Demonstrating that gamification motivation strategy is worthwhile to actively apply in future textbook development for the enhancement of learners' interests, this study is significant in that it has presented a meaningful textbook development model.

The Mathematical Knowledge of Elementary School Teachers: A Comparative Perspective

  • Wong, Ngai-Ying;Rowland, Tim;Chan, Wing-Sum;Cheung, Ka-Luen;Han, Ngai-Sze
    • Research in Mathematical Education
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    • v.14 no.2
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    • pp.173-194
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    • 2010
  • This study examines the differences and similarities of mathematics teachers' subject matter knowledge among England, the Chinese mainland and Hong Kong. Data were collected from a ten-item test in the SKIMA subject matter audit instrument [Rowland, T.; Martyn, S.; Barber, P. & Heal, C. (2000). Primary teacher trainees' mathematics subject knowledge and classroom performance. In: T. Rowland & C. Morgan (eds.), Research in Mathematics Education, Volume 2 (pp.3-18). ME 2000e.03066] from over 500 participants. Results showed that participants from England performed consistently better, with those from Hong Kong being next and then followed by those from the Chinese mainland. The qualitative data revealed that participants from Hong Kong and the Chinese mainland were fluent in applying routines to solve problems, but had some difficulties in offering explanations or justifications.