• Title/Summary/Keyword: mathematical education research

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Investigation of the Teaching Practice in Mathematics Classroom with Immigrant Students (우리나라 초.중등학교 다문화수학교실의 수업실태 분석)

  • Song, Ryoon-Jin;Noh, Sun-Sook;Ju, Mi-Kyung
    • School Mathematics
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    • v.13 no.1
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    • pp.37-63
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    • 2011
  • This research had investigated the teaching practice in the mathematics classrooms with immigrant students to describe how effectively mathematics teachers create inclusive learning environment of mathematics. The analysis of the data from the elementary schools suggests that teaching practice in the class was consistent to the criteria for 'contextualization of students' lived experience' and 'mathematical conversation'. However, while the quantitative results suggested that the teachers showed high expectation to their students in their teaching, the qualitative analysis revealed the teacher's beliefs and attitudes against providing equitable educational opportunity for every student. In the middle school classrooms, it was found that the teaching practices were not compatible to the goals of multicultural mathematics education. The analysis of the survey data regarding teachers' multicultural competence suggests that the teachers possessed rather advan]ced understanding of multicultural mathematics education but they need materials and pedagogy for classroom teaching from multicultural perspectives.

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An Analysis on the Meaning and Use of Manipulatives in the Elementary Mathematics Lessons (예비교사의 관점에서 본 초등수학 수업에서 교구의 의미와 사용 방법 분석)

  • Park, Mangoo
    • Education of Primary School Mathematics
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    • v.19 no.1
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    • pp.61-78
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    • 2016
  • The purpose of this study was to investigate the perceptions and perspectives on meanings and use of manipulatives in mathematics lessons. For the investigation, the researcher reviewed related literature and analyzed the perceptions of preservice teachers on the meanings and use of manipulatives in mathematics lessons. The participants were 75 preservice elementary school teachers who took a teaching practice course at the 1st or the 2nd semester in 2015. These preservice teachers observed mathematics lessons for two weeks during the student teaching periods. They were requested to observed the use of manipulatives in mathematics lessons and wrote about their ideas on the meanings and use of manipulatives. Result of the research was that the perceptions on the meanings and use of manipulatives from the preservice teachers' perspectives are as follows. Manipulatives in mathematics lessons were self-made or pre-made manufactures. The using time of manipulatives during lessons varies, and the teachers provide the manipulatives with contexts. Providing in-depth observation during a teaching practice course is allowed opportunities for preservice teachers to reflect their mathematics teaching and learning methods in the classroom.

An Analysis of Instructional Elements on the Equal Sign and Equivalence in Grades 3 and 4 Elementary Mathematics Textbooks (초등학교 3~4학년군 수학 교과서에 제시된 등호 및 동치에 대한 교수·학습 요소 분석)

  • Sunwoo, Jin;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.459-475
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    • 2022
  • The equal sign and equivalence are the most basic and core concepts in elementary mathematics, but there has been lack of research on how to teach these concepts with textbooks. Given this, this study analyzed elementary mathematics textbooks in terms of three instructional elements (i.e., emphasizing the meaning of the equal sign as a relational symbol, dealing with an equation as an object for reasoning, and using an equation with a missing value). In particular, this study analyzed 10 different mathematics textbook series that are newly used in 2022 and examined the overall trends and characteristics for teaching the equal sign and equivalence. The results of this study showed that the activities emphasizing the meaning of the equal sign as a relational symbol were most noticeable but the activities dealing with an equation as an object for reasoning or using an equation with a missing value were relatively rare. Based on the results of the analysis, this study provides textbook writers with implications on what to further consider in covering the equal sign and equivalence.

Weight as Knowledge to be taught according to Didactic Transposition Theory (가르칠 지식으로서 무게에 대한 분석: 교수학적 변환 이론을 중심으로)

  • Choi, Jisun
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.377-394
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    • 2022
  • Criticism has been raised that the way of teaching weights in the 3rd and 4th graders of elementary school is different between the 2015 revised math curriculum and the 2015 revised science curriculum, causing confusion among elementary school teachers and students. This study tried to confirm the social recognition that should be considered in the process of didactic transformation which means transformation from knowledge to used into knowledge to taught and to compare the variations of didactic transformations differently according to didactic intentions. The research analyzes and synthesizes the root of the meaning of weight, weight in the international standard system of units SI, weight implemented in Korean mathematics curriculum and textbooks, Singaporean mathematics curriculum and textbooks, USA mathematics curriculum and textbooks, and Korean science curriculum and textbooks. Through this analysis, a pedagogical perspective on how to define and teach weight in elementary school as knowledge to be taught was derived.

An Analysis of the Capacity and Weight Contents Presented in Textbooks According to the 2015 Revised Mathematics Curriculum (2015 개정 수학과 교육과정에 따른 교과서에 제시된 들이와 무게 내용 분석)

  • Daehyun Lee
    • Journal of Science Education
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    • v.47 no.3
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    • pp.273-285
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    • 2023
  • Measurement in elementary school mathematics is one of the mathematical concepts that is directly used in real life. This study is based on the fact that mathematics textbooks for 3-4 and 5-6 graders were developed as the government designed and authorized textbooks and the general measurement instruction process is condensed and presented considering the limitation of the textbook's space for the capacity and weight. Its contents were analyzed. The results are as follows. The contents of authorized textbooks and government designed textbook are different in detail but similar overall in comparative activities, recognition, and situation of the need for the introduction of standard unit and estimation activities. Through this, it is proposed that efforts are needed to reform national textbook policies and develop textbooks that can highlight the meaning of each measurement activity and focus on students' activities.

A Study on Ontology Based Knowledge Representation Method with the Alzheimer Disease Related Articles (알츠하이머 관련 논문을 대상으로 하는 온톨로지 기반 지식 표현 방법 연구)

  • Lee, Jaeho;Kim, Younhee;Shin, Hyunkyung;Song, Kibong
    • Journal of Internet Computing and Services
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    • v.15 no.3
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    • pp.125-135
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    • 2014
  • In the medical field, for the purpose of diagnosis and treatment of diseases, building knowledge base has received a lot of attention. The most important thing to build a knowledge base is representing the knowledge accurately. In this paper we suggest a knowledge representation method using Ontology technique with the datasets obtained from the domestic papers on Alzheimer disease that has received a lot of attention recently in the medical field. The suggested Ontology for Alzheimer disease defines all the possible classes: lexical information from journals such as 'author' and 'publisher' research subjects extracted from 'title', 'abstract', 'keywords', and 'results'. It also included various semantic relationships between classes through the Ontology properties. Inference can be supported since our Ontology adopts hierarchical tree structure for the classes and transitional characteristics of the properties. Therefore, semantic representation based query is allowed as well as simple keyword query, which enables inference based knowledge query using an Ontology query language 'SPARQL'.

Analysis on the Relation between Major Subjects of Architecture & Civil Engineering and Mathematics in Korean Industrial Circle High School (공업계 고등학교 토목.건축 학과의 전문 교과와 수학 교과와의 연관성 분석 연구)

  • Cho, Min Hye;Cho, Minshik
    • School Mathematics
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    • v.15 no.4
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    • pp.801-818
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    • 2013
  • The purpose of this study is to investigate the relation between major subjects of industrial circle high school and mathematics matched with present 2007 revision curriculum. We compare and analyze learning contents in industrial circle's math education via various aspects including methods of explanations, contents domains, and contents levels. The analysis followed by the research study performed with literature study of curriculums and text books. Our research indicates that school curriculum should be reflected relation between industrial high school's each major course and mathematics, so each major course curriculum should be different. Many contents beyond high school mathematics were founded. Hence suitable mathematical maturity and levels within standard high school math curriculum should be considered when one make text books of major course in industrial circle high school.

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An Analysis of Cognitive Demands of Tasks in Elementary Mathematical Instruction: Focusing on 'Ratio and Proportion' (수학 교수${\cdot}$학습 과정에서 과제의 인지적 수준 분석 - 초등학교 '비와 비율' 단원을 중심으로 -)

  • Kim, Hee-Seong;Pang, Suk-Jeong
    • Journal of Educational Research in Mathematics
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    • v.15 no.3
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    • pp.251-272
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    • 2005
  • Given that cognitive demands of mathematical tasks can be changed during instruction, this study attempts to provide a detailed description to explore how tasks are set up and implemented in the classroom and what are the classroom-based factors. As an exploratory and qualitative case study, 4 of six-grade classrooms where high-level tasks on ratio and proportion were used were videotaped and analyzed with regard to the patterns emerged during the task setup and implementation. With regard to 16 tasks, four kinds of Patterns emerged: (a) maintenance of high-level cognitive demands (7 tasks), (b) decline into the procedure without connection to the meaning (1 task), (c) decline into unsystematic exploration (2 tasks), and (d) decline into not-sufficient exploration (6 tasks), which means that the only partial meaning of a given task is addressed. The 4th pattern is particularly significant, mainly because previous studies have not identified. Contributing factors to this pattern include private-learning without reasonable explanation, well-performed model presented at the beginning of a lesson, and mathematical concepts which are not clear in the textbook. On the one hand, factors associated with the maintenance of high-level cognitive demands include Improvising a task based on students' for knowledge, scaffolding of students' thinking, encouraging students to justify and explain their reasoning, using group-activity appropriately, and rethinking the solution processes. On the other hand, factors associated with the decline of high-level cognitive demands include too much or too little time, inappropriateness of a task for given students, little interest in high-level thinking process, and emphasis on the correct answer in place of its meaning. These factors may urge teachers to be sensitive of what should be focused during their teaching practices to keep the high-level cognitive demands. To emphasize, cognitive demands are fixed neither by the task nor by the teacher. So, we need to study them in the process of teaching and learning.

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Problem Solver's Responses According to the Sentence Structures of Mathematical Word Problems (수학 문장제의 문장 구조에 따른 초등학생의 문제해결 반응 비교 분석)

  • Kang, Wha-Na;Paik, Suck-Yoon
    • Journal of Educational Research in Mathematics
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    • v.19 no.1
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    • pp.63-80
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    • 2009
  • This paper has a purpose to find out the important points about linguistic factors suited to the assessment purpose and mathematics teaching/learning that a word-problem sentence has to possess. We also examine the degree of understanding of sentence and the perceptive/emotional reactions of students toward two different kinds of word-problem sentences that have same mathematical contents, but different linguistic structures. The objects of this thesis are 124 students from the third to sixth grade in an elementary school. We execute assessment of simple-sentence-word-problem and complex-sentence-word-problem that have same mathematical contexts, but different linguistic structures. Then we have compared and examined their own process of solving the two types word-problems and we make up questionnaire and have an interview with them. The conclusions are as followings: First, simple-sentence-word-problem is more successful to suggest an information for solving a problem than complex one. Second, it is hard to find the strategy for solving a problem in complex-sentence-word-problem than simple one. Third, students think that suggested information and mathematical knowledge are different according to the linguistic structure in the process of perceiving the information after reading a word-problem. Fourth, in spite of same sentence type, the negative mental reaction is showed greatly to complex-sentence-word-problem even before solving a problem.

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The Relationships between Mathematically Gifted Students and Regular Students in Perfectionism and the Affective Traits (중등 영재학생과 일반학생의 완벽주의 성향과 수학교과에 대한 정의적 특성과의 관계)

  • Whang, Woo-Hyung;Lee, Yu-Na
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.1-38
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    • 2009
  • This study investigates the relationships of perfectionism and the affective traits(academic self-concept, learning attitude, interest, mathematical anxiety, learning habits) in mathematics between the gifted students and the regular students in Korean Middle Schools. The findings of this study can be used for the understanding of the gifted students, and as data or resources for counsellors when they advise the gifted students on enhancing study strategies and developing future courses. This study was investigated by measuring the relationships between perfectionism and the affective traits on mathematics between two groups. Here, the correlation analysis, t-test, and regression analysis of the SPSS for Window 12.0 Program were applied to measure the differences of both groups. Therefore, there were no differences in perfectionism between the gifted students and the regular students. But the self-oriented perfectionism of the gifted students appeared higher compare with regular students. The affective traits in mathematics of the gifted students appeared more positive compare with regular students. There were a few correlations between the perfectionism and the affective traits in mathematics at two group all. however the self-oriented perfectionism and the affective traits in mathematics showed to correlation. There were several suggestions based on the results of this study. First, the results showed that professional assistance is needed for the gifted students so that their perfectionism flows positively into developing their gifts. Secondly, the results suggested that specialized mathematical program reflecting on the affective traits of the gifted students in mathematics should be offered.Lastly, tthe results of this study suggested a researcher regarding relevance with perfectionism and affective traits regarding subject shall be performed more. The result of research shall be included to contents of training for the gifted students and their parents.

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