• Title/Summary/Keyword: mathematics instruction

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A meta-analysis on the effects of the differentiated instruction in mathematics (수학과 수준별 수업의 효과에 대한 메타분석)

  • Kim, Sun Hee
    • The Mathematical Education
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    • v.54 no.4
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    • pp.335-350
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    • 2015
  • The purpose of this study was to investigate the effectiveness of the differentiated instruction in mathematics by a meta-analysis. Among the studies conducted for last twenty three years, the relevant 49 research articles were selected, 80 effect sizes were calculated for the cognitive domain and 70 effect sizes for the affective domain. Effect sizes were analyzed with school levels, student level, group organization method such as homogeneous vs. heterogeneous, class transfer and adjusting class sizes for each cognitive domain and affective domain. The results are as the followings: In the cognitive domain, the overall effect size of the differentiated instruction produced a medium effect(effect size=0.68, U3=75.17%). The differentiated instruction showed the highest effect size on elementary school and middle school, mid level students, heterogeneous group, class transfer and not adjusted class size. And in the affective domain, the overall effect size of the differentiated instruction produced a low effect(effect size=0.36, U3=65.36%). The differentiated instruction showed the highest effect size on elementary school, mid level students, and heterogeneous group. Thus the differentiated instruction was proved to be effective in mathematics classes.

A Study of a Teaching Plan for Gifted Students in Elementary School Mathematics Classes (일반학급에서의 초등 수학 영재아 지도 방안 연구)

  • Kim, Myeong-Ja;Shin, Hang-Kyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.2
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    • pp.163-192
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    • 2009
  • Currently, our country operates gifted education only as a special curriculum, which results in many problems, e.g., there are few beneficiaries of gifted education, considerable time and effort are required to gifted students, and gifted students' educational needs are ignored during the operation of regular curriculum. In order to solve these problems, the present study formulates the following research questions, finding it advisable to conduct gifted education in elementary regular classrooms within the scope of the regular curriculum. A. To devise a teaching plan for the gifted students on mathematics in the elementary school regular classroom. B. To develop a learning program for the gifted students in the elementary school regular classroom. C. To apply an in-depth learning program to gifted students in mathematics and analyze the effectiveness of the program. In order to answer these questions, a teaching plan was provided for the gifted students in mathematics using a differentiating instruction type. This type was developed by researching literature reviews. Primarily, those on characteristics of gifted students in mathematics and teaching-learning models for gifted education. In order to instruct the gifted students on mathematics in the regular classrooms, an in-depth learning program was developed. The gifted students were selected through teachers' recommendation and an advanced placement test. Furthermore, the effectiveness of the gifted education in mathematics and the possibility of the differentiating teaching type in the regular classrooms were determined. The analysis was applied through an in-depth learning program of selected gifted students in mathematics. To this end, an in-depth learning program developed in the present study was applied to 6 gifted students in mathematics in one first grade class of D Elementary School located in Nowon-gu, Seoul through a 10-period instruction. Thereafter, learning outputs, math diaries, teacher's checklist, interviews, video tape recordings the instruction were collected and analyzed. Based on instruction research and data analysis stated above, the following results were obtained. First, it was possible to implement the gifted education in mathematics using a differentiating instruction type in the regular classrooms, without incurring any significant difficulty to the teachers, the gifted students, and the non-gifted students. Specifically, this instruction was effective for the gifted students in mathematics. Since the gifted students have self-directed learning capability, the teacher can teach lessons to the gifted students individually or in a group, while teaching lessons to the non-gifted students. The teacher can take time to check the learning state of the gifted students and advise them, while the non-gifted students are solving their problems. Second, an in-depth learning program connected with the regular curriculum, was developed for the gifted students, and greatly effective to their development of mathematical thinking skills and creativity. The in-depth learning program held the interest of the gifted students and stimulated their mathematical thinking. It led to the creative learning results, and positively changed their attitude toward mathematics. Third, the gifted students with the most favorable results who took both teacher's recommendation and advanced placement test were more self-directed capable and task committed. They also showed favorable results of the in-depth learning program. Based on the foregoing study results, the conclusions are as follows: First, gifted education using a differentiating instruction type can be conducted for gifted students on mathematics in the elementary regular classrooms. This type of instruction conforms to the characteristics of the gifted students in mathematics and is greatly effective. Since the gifted students in mathematics have self-directed learning capabilities and task-commitment, their mathematical thinking skills and creativity were enhanced during individual exploration and learning through an in-depth learning program in a differentiating instruction. Second, when a differentiating instruction type is implemented, beneficiaries of gifted education will be enhanced. Gifted students and their parents' satisfaction with what their children are learning at school will increase. Teachers will have a better understanding of gifted education. Third, an in-depth learning program for gifted students on mathematics in the regular classrooms, should conform with an instructing and learning model for gifted education. This program should include various and creative contents by deepening the regular curriculum. Fourth, if an in-depth learning program is applied to the gifted students on mathematics in the regular classrooms, it can enhance their gifted abilities, change their attitude toward mathematics positively, and increase their creativity.

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Mathematics Teachers' Understanding of Students' Mathematical Comprehension through CGI and DMI

  • Lee, Kwang-Ho
    • Research in Mathematical Education
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    • v.11 no.2
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    • pp.127-141
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    • 2007
  • This paper compares and analyzes mathematics teachers' understanding of students' mathematical comprehension after experiences with the Cognitively Guided Instruction (CGI) or the Development of Mathematical Ideas (DMI) teaching strategies. This report sheds light on current issues confronted by the educational system in the context of mathematics teaching and learning. In particular, the declining rate of mathematical literacy among adolescents is discussed. Moreover, examples of CGI and DMI teaching strategies are presented to focus on the impact of these teaching styles on student-centered instruction, teachers' belief, and students' mathematical achievement, conceptual understanding and word problem solving skills. Hence, with a gradual enhancement of reformed ways of teaching mathematics in schools and the reported increase in student achievement as a result of professional development with new teaching strategies, teacher professional development programs that emphasize teachers' understanding of students' mathematical comprehension is needed rather than the currently dominant traditional pedagogy of direct instruction with a focus on teaching problem solving strategies.

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A Survey of Elementary school teachers' perceptions of mathematics instruction (수학수업에 대한 초등교사의 인식 조사)

  • Kwon, Sungyong
    • Education of Primary School Mathematics
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    • v.20 no.4
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    • pp.253-266
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    • 2017
  • The purpose of the study was to investigate the perceptions of Elementary school teachers on mathematics instruction. To do this, 7 test items were developed to obtain data on teacher's perception of mathematics instruction and 73 teachers who take mathematical lesson analysis lectures were selected and conducted a survey. Since the data obtained are all qualitative data, they were analyzed through coding and similar responses were grouped into the same category. As a result of the survey, several facts were found as follow; First, When teachers thought about 'mathematics', the first words that come to mind were 'calculation', 'difficult', and 'logic'. It is necessary for the teacher to have positive thoughts on mathematics and mathematics learning, and this needs to be stressed enough in teacher education and teacher retraining. Second, the reason why mathematics is an important subject is 'because it is related to the real life', followed by 'because it gives rise to logical thinking ability' and 'because it gives rise to mathematical thinking ability'. These ideas are related to the cultivating mind value and the practical value of mathematics. In order for students to understand the various values of mathematics, teachers must understand the various values of mathematics. Third, the responses for reasons why elementary school students hate mathematics and are hard are because teachers demand 'thinking', 'because they repeat simple calculations', 'children hate complicated things', 'bother', 'Because mathematics itself is difficult', 'the level of curriculum and textbooks is high', and 'the amount of time and activity is too much'. These problems are likely to be improved by the implementation of revised 2015 national curriculum that emphasize core competence and process-based evaluation including mathematical processes. Fourth, the most common reason for failing elementary school mathematics instruction was 'because the process was difficult' and 'because of the results-based evaluation'. In addition, 'Results-oriented evaluation,' 'iterative calculation,' 'infused education,' 'failure to consider the level difference,' 'lack of conceptual and principle-centered education' were mentioned as a failure factor. Most of these factors can be changed by improving and changing teachers' teaching practice. Fifth, the responses for what does a desirable mathematics instruction look like are 'classroom related to real life', 'easy and fun mathematics lessons', 'class emphasizing understanding of principle', etc. Therefore, it is necessary to deeply deal with the related contents in the training courses for the improvement of the teachers' teaching practice, and it is necessary to support not only the one-time training but also the continuous professional development of teachers.

The Understanding of the blended instruction in the College focused on the preference to the type of blended instruction (대학에서의 블렌디드 수업에 관한 소고 -수업 선호도를 중심으로-)

  • Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.39 no.4
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    • pp.455-478
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    • 2023
  • Expectations and interests in blended learning are increasing as universities respond to the educational flow of transition to e-lernring. This study tried to explore and understand the meaning of and the properties of blended instruction. In addition, through the literature review, this study was to find out how bleanded learning affected in teaching and learning situation. Particularly, it was to find out students' preference to the type of blended instruction. Those types are the mixed of or the unique of class instruction(off line), on line, and recorded instruction. To investigate learners' preference to the type of the instruction and also the reason of the preference, in this study, the 27 undergraduate students of the fourth grade in the major of mathematics education in the C university located in G area. By the result, most students preferred the mixed type of instruction involving off line and recorded instruction. The reason is that they could attend to the class while participating in the group activity positively and understand the content through the communication in depth and the instructor's feedback. Because of this reason, they did not prefer to the only one type insturction such as the recorded type.

Sociocultural perspectives on mathematics learning using computer (컴퓨터를 활용한 수학학습에 대한 사회문화적 관점)

  • 박성선
    • Education of Primary School Mathematics
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    • v.5 no.1
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    • pp.13-20
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    • 2001
  • Interaction through communication plays critical role in the mathematics learning in the sociocultural perspectives. The communication make the students construct shared knowledge, and also plays a role of mediation in making meaning. So, we have to consider sociocultural eprspectives in design of the mathematics leaning using computer. While Computer Assisted Instruction was the one-directional teaching program which proceed from computer to students, mathematics leaning using computer in the sociocultural perspectives have to consider two-directional instruction that proceed from computer to students as well as from students to computer. This interactional activity is the critical thing in the mathematics learning using computer.

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A Study on the Strategy to Use Literature in Mathematics Instruction (문학 작품을 활용한 수학 학습 지도 방안 연구)

  • Kim, Jeong-Ha
    • School Mathematics
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    • v.11 no.1
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    • pp.187-206
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    • 2009
  • This study considers the role of Mathematics as a language and the value of reading in the mathematics class. Linking mathematics instruction to literature has become popular in recent year for variety of reason. We want to illuminate the meaning of literature-based Mathematics. We suggest the viewpoint of how to appropriately select math-related literature. The focus of this study is to suggest how to use children's literature to effectively teach mathematics. Through attention to the mathematics in literature, we motivate students and provoke students' interest for mathematics. Children's literature, what is more, helps students connect mathematical ideas to their personal experience and realize that mathematics is a spontaneous and natural expression of human minds. Literature in mathematics class provides students advanced mathematical thinking for problem solving.

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Teacher's Gender-Related Beliefs about Mathematics

  • Zhang, Qiao-Ping;Wong, Ngai-Ying;Lam, Chi-Chung
    • Research in Mathematical Education
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    • v.17 no.3
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    • pp.153-167
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    • 2013
  • Mathematics has been stereotyped as a male-dominated subject, and there is considerable evidence to support this belief. There has been much research in the past three decades on gender-related differences in elementrny and secondrny school mathematics. The research found that teachers possess different beliefs about male and female students that influence their teaching behaviour, which then directly or indirectly impact their students' behaviours, beliefs, and achievements in mathematics. Based on data collected from teacher questionnaire surveys in the Chinese Mainland and Hong Kong, this study examines teachers' beliefs about the achievements of boys and girls in mathematics. The study also compares the findings in the two regions surveyed. Results showed that teachers gave more attention to boys than girls, regardless of the teacher's gender. Not only are teachers more likely to recall more boys than girls, but also more boys than girls with average academic standards.

Preservice Teachers' Changing Perceptions of Technology Infusion - The Impact of Web-based Instruction in Mathematics Education

  • Lin, Cheng-Yao
    • Research in Mathematical Education
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    • v.10 no.4 s.28
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    • pp.239-258
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    • 2006
  • This study sought to examine preservice teachers' beliefs about their intent to use computers and Internet resources in mathematics classrooms. Also, web-based instruction on topics in elementary school mathematics was used to foster teachers' confidence and competence in using instructional technology, thereby promoting positive attitudes toward use of computers and Internet resources in the mathematics classroom. The results indicated that students who participated in the web-based instructions exhibited a significantly (p < 0.05) better attitude toward using computers and web-based resources in teaching mathematics than did students in the control group.

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A Study on the Prospective Mathematics Secondary Teachers' Introduction of Concepts of Function (예비 중등 수학교사들의 함수 개념의 도입 방식 탐색)

  • Ma, Minyoung
    • Journal of the Korean School Mathematics Society
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    • v.25 no.3
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    • pp.225-241
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    • 2022
  • The purpose of this study is to analyze and present what aspects of the concept of function prospective mathematics secondary teachers emphasize when designing a class that introduces the concept of function using curriculum and textbooks. For this purpose, virtual instruction and reflections on virtual instruction were analyzed. The results are as follows. The prospective mathematics secondary teachers consider and introduce the concepts of function as correspondences and processes. Their conception of function was consistently observed during virtual instruction and reflections on virtual instruction. The prospective mathematics secondary teachers' conception of function was closely related to the form of expressing functions. These results provi e implications for prospective mathematics secondary teachers' education for introducing the concept of function based on the dependent relation between variables presented in the 2015 revision of the national mathematics curriculum.