• Title/Summary/Keyword: mathematical practice

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An Updated Evidence-based Practice Review on Teaching Mathematics to Students with Intellectual Disabilities

  • Alhwaiti, Mohammed M.
    • International Journal of Computer Science & Network Security
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    • v.22 no.5
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    • pp.255-265
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    • 2022
  • Educational programs for students with intellectual disabilities have undergone drastic changes in pursuit of the general curriculum. Accordingly, teachers in various fields, including mathematics, strive to find effective methods that enhance learning. The objective of this systematic review is to examine the field of teaching mathematics to students with intellectual disabilities to investigate relevant effective teaching strategies and required teaching skills. To achieve this goal, studies published during the period 2018-2021 were reviewed. Findings indicate the inclusion of nine studies that met the inclusion criteria out of 55 studies. The included studies found that the system of least prompts (SLP) in conjunction with feedback and error correction, and schema-based instruction are generally the most effective strategies in teaching mathematical skills to students with intellectual disabilities. Addition is the most targeted skill, followed by subtraction and algebra problem solving. The least targeted skills are multiplication, recognition of geometric shapes, calculating price after discount, rapid recognition of numbers, and rapid problem solving. The paper provides recommendations and suggests venues of future research.

A Study about the Practices of Teachers Who Changed the Subject to Mathematics Based on Their Belief (과목변경수학교사의 신념에 따른 교수 실제에 관한 연구)

  • Kim, Soo Sun;Choi-Koh, Sang Sook
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.373-389
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    • 2015
  • This study was to investigate the practice of the teachers who changed their teaching subject to Mathematics from other subjects. Teacher, A who had traditional belief and Teacher, B, non-traditional belief were chosen for the study through the questionnaire in Sep. 2014. The result indicated that Teacher, A in traditional belief showed teacher-centered teaching but Teacher, B in nontraditional belief showed inconsistent way of teaching in comparison to the original perspective. The later said she could not teach students as she wanted to teach because of the lack of knowledge of teaching as a math teacher. The difficulties Teacher, A encountered were: to handle too many works beyond teaching and to teach too many contents to cover without having enough time to prepare. Teacher, B didn't know how to teach students math in a constructivism way. They asked to offer them more in-service training program to develop their expertise for teaching mathematics.

High School Mathematics Teachers' Conception of Mathematics Textbooks Based on Storytelling (고등학교 수학 교사의 스토리텔링 수학 교과서에 대한 이해)

  • Kwon, Oh-Nam;Ju, Mi-Kyung;Park, Kyoo-Hong;Oh, Hye-Mi;Park, Ji-Hyun;Cho, Hyung-Mi;Lee, Ji-Eun;Park, Jung-Sook
    • The Mathematical Education
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    • v.51 no.3
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    • pp.223-246
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    • 2012
  • Korean Ministry of Education Science, and Technology(MEST) has recommended the introduction of mathematics textbooks based on storytelling to improve the teaching and learning of mathematics in school. As part of the mathematics textbooks based on storytelling development, this research has investigated school mathematics teachers' perspectives on mathematics textbooks based on storytelling in order to identify implications for the development and the implementation of it. For the purpose, we have developed survey questionnaire and administered it to 113 high school mathematics teachers. The survey asked the teachers to address their conception of mathematics textbooks based on storytelling, its contribution to school mathematics, challenges and obstacles for the implementation. The survey shows that the mathematics teachers' conception of mathematics textbooks based on storytelling was not clear or limited. Most of them replied that they received information about mathematics textbooks based on storytelling from the materials provided by workshop or materials of school district office. While the teachers heard about that school will implement mathematics textbooks based on storytelling, they rarely had idea of how to use them in class. In the survey, the teachers identified which type of storytelling is effective for which purpose of mathematics education. They also identified the positive effect and the difficulties in the implementation of mathematics textbooks based on storytelling. The mathematics teachers pointed out that textbook is not enough. They urged that the implementation of mathematics textbooks based on storytelling should be integrated into classroom teaching and assessment to make a significant change in the educational practice of mathematics in school. Thus, mathematics teachers need support to implement mathematics textbooks based on storytelling into their teaching practice. Teacher workshop and teacher manuals need to be developed to help teachers understand educational visions and values of mathematics textbooks based on storytelling. These results of the survey would form the worthwhile base information for the development and the implementation of mathematics textbooks based on storytelling.

Toward Self-Directed Math Learning in College Math Classes (대학수학에서, 자기주도 수학학습)

  • Kim, Byung-Moo
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.563-585
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    • 2010
  • The major goals of this study are to find the factors that enhance self-directed math learning in college math classes and to provide the students with the opportunities to check and develop their self-directed math learning attitude. For these research goals, we prepared the questionnaires that asked about their learning motivations, basic learning ability, self-discipline strategies, and self-directed learning strategies. Another purpose of the questionnaires was to give them the chances to check and improve their attitude toward those learning strategies, motivation and ability. From the research results, we find that the important factors for self-directed learning are internal & external motivations, concentration ability, and the goal-setting and plan-making abilities. In addition, concentration ability, good habit, stress-control, recognition of math value, and self-directing ability are found to be necessary for the desirable learning environment. On the other hand, we find that the ability to perform note-taking, class preparation and review, time-control, and test-control is required for the selection and practice of self-fitting learning strategies. Finally, we provided our own self-directed math learning model. Our model, containing the necessary factors for self-directed math learning, is the revised and modified one of Knowles(1975)'s 5 stage self-directed learning model that comprises diagnosis of learning desire, setting learning goals, grasping human&material resources, selection and practice of proper learning strategies, and evaluation of learning results.

Exploring the Direction of Middle School Statistics Education through a Comparison of Statistical Content between China & Korea: Focused on the Revised 2022 Mathematics Curriculum (중국의 중학교 통계 교육과정 분석을 통한 통계교육 방안 탐색: 2022 개정 수학과 교육과정을 중심으로)

  • Suh, Boeuk;Rim, Haemee
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.329-348
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    • 2023
  • This study is necessary for the stable settlement of the 2022 revised mathematics curriculum 'data and possibility' area. This study was conducted centering on literature analysis. The purpose of this study is to realize statistics education in line with the 2022 revised mathematics curriculum. This purpose was achieved by examining the statistics learning contents of the 2022 revised curriculum, analyzing Chinese mathematics curriculum, and analyzing Chinese mathematics textbooks. In this study, the following studies were conducted. First, five elements were extracted through the analysis of the 'statistics and probability' area of the Chinese mathematics curriculum. The extracted elements are the 4th grade goals, synthesis and practice content areas, achievement standards for statistics and probability (6), (9), and (11). Second, examples presented in Chinese mathematics textbooks and Chinese curriculum appendices related to the extracted elements were analyzed. Regarding the 4th grade goal, the statistical problem-solving process of the 7th grade 2nd semester mathematics textbook was analyzed. Regarding the synthesis and practice content area, the data analysis unit of the 8th grade 2nd semester mathematics textbook was analyzed. In relation to the achievement standard (6), Example 85 of the curriculum appendix was analyzed, in relation to the achievement standard (9), Example 86 was analyzed, and in relation to the achievement standard (11), Example 87 was analyzed. Third, based on the analysis results, implications for the development of new curriculum and 'textbook development, teaching and learning methods' according to the 2022 revised middle school mathematics curriculum were derived. Through the results of this study, we expect the successful realization of the 2022 revised middle school mathematics and curriculum statistics education.

The Investigation of the Mathematics Teaching Evaluation Standards Focused on Mathematical Competencies (수학 교과 역량을 반영한 수업평가 기준 탐색 - '교수·학습 방법 및 평가' 지식을 중심으로-)

  • Hwang, Hye Jeang
    • Communications of Mathematical Education
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    • v.32 no.1
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    • pp.97-111
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    • 2018
  • This study is to establish the domains and the standards of instructional evaluation on the teacher knowledge dealing with the knowledge of 'teaching and learning methods and assessment'. Especially, in this study, the instruction assessment standards are developed focused on the six types of mathematics competencies such as problem solving, communication, reasoning, creativity and collaboration, information and handling, attitude and practice which were emphasized in the mathematical curriculum revised in 2015. By the result, seventh evaluation domains such as an instruction involving problem-solving activity, an instruction involving reasoning activity, instruction involving communication activity, instruction on information and handling activity, instruction involving learners' achievement level and attitude, instruction involving the development of assessment method and tool, instruction applying on assessment result were new established. According to those domains, the 19 instructional evaluation standards were developed totally. This study is limited to consider the domain of 'teaching and learning methods and assessment' among the domains of teacher knowledge, while dealing with the elements of mathematics competencies in the standards. However, instructional evaluation standards reflecting these competencies should be developed in the other diverse domains of teacher knowledge.

An analysis on the development processes of mathematics and the results by dialectical materialism (수학의 발달과정과 그 결과에 대한 변증법적 유물론에 의한 분석)

  • 조윤동
    • Journal of Educational Research in Mathematics
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    • v.13 no.3
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    • pp.329-349
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    • 2003
  • Mathematics education is accomplished by systems such as mathematical curriculum and tools such as a textbook which reflects such systems. Human beings make such systems and tools. Therefore, a viewpoint of mathematics of those who make them is an important factor. The view point of mathematics is formed during doing and learning mathematics, but the already formed viewpoint of mathematics affects doing and teaching mathematics. Hence, it will be a factor which affects basically that those who employ themselves on mathematics education have a certain viewpoint of mathematics. This article presents dialectical materialistic viewpoint as the viewpoint of mathematics which affects fundamentally on mathematical teaching-learning practice. The dialectical materialism is carried through the process and result of mathematics development. This shows that mathematical knowledge is objective. Mathematical knowledge has developed according to three basic rules of dialectical materialism i.e. the transformation of quantity into quality, the unification of antagonistic objects, and the negation of negation. This viewpoint of mathematics should offer the viewpoint of mathematics education which is different from the view point of absolutism, relativism or formal logic. In this article I considered mathematics separating standpoint of mathematics into materialistic viewpoint and dialectical viewpoint. 1 did so for the convenience of analysis, but you will be able to look at the unified viewpoint of dialectical materialism. 1 will make mention of teaching-learning method on another occasion.

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A comparative study of domestic and international research trends of mathematics education through topic modeling (토픽모델링을 활용한 국내외 수학교육 연구 동향 비교 연구)

  • Shin, Dongjo
    • The Mathematical Education
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    • v.59 no.1
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    • pp.63-80
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    • 2020
  • This study analyzed 3,114 articles published in KCI journals and 1,636 articles published in SSCI journals from 2000 to 2019 in order to compare domestic and international research trends of mathematics education using a topic modeling method. Results indicated that there were 16 similar research topics in domestic and international mathematics education journals: algebra/algebraic thinking, fraction, function/representation, statistics, geometry, problem-solving, model/modeling, proof, achievement effect/difference, affective factor, preservice teacher, teaching practice, textbook/curriculum, task analysis, assessment, and theory. Also, there were 7 distinct research topics in domestic and international mathematics education journals. Topics such as affective/cognitive domain and research trends, mathematics concept, class activity, number/operation, creativity/STEAM, proportional reasoning, and college/technology were identified from the domestic journals, whereas discourse/interaction, professional development, identity/equity, child thinking, semiotics/embodied cognition, intervention effect, and design/technology were the topics identified from the international journals. The topic related to preservice teacher was the most frequently addressed topic in both domestic and international research. The topic related to in-service teachers' professional development was the second most popular topic in international research, whereas it was not identified in domestic research. Domestic research in mathematics education tended to pay attention to the topics concerned with the mathematical competency, but it focused more on problem-solving and creativity/STEAM than other mathematical competencies. Rather, international research highlighted the topic related to equity and social justice.

Utilization Plan of primary 3-4 grade mathematics textbooks for 'Flipped Classroom' (수학과 '거꾸로 교실' 수업을 위한 교과서 활용 방안 탐색 - 초등학교 3-4학년 군을 중심으로)

  • Kim, Soo Cheol
    • Education of Primary School Mathematics
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    • v.17 no.3
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    • pp.265-276
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    • 2014
  • In this study, we aim to search the utilization plan of primary 3-4 mathematics textbooks for 'Flipped Classroom' practice. In the flipped classroom, students are required to manipulate more rigorous concepts, deal with realistic problems and various activities, and discussions. Researcher analyzed the new mathematics textbooks of primary 3-4 grade that is applied 2014. The criteria of analysis was made of the instructional model for 'Flipped Classroom' that was set up by previous researcher. To practice the flipped classroom, teachers need to design their classes carefully for using selectively many materials of the textbooks to make students participate discussion in the classroom actively and to consider their interests and levels.

Analysis and design of demountable circular CFST column-base connections

  • Li, Dongxu;Wang, Jia;Uy, Brian;Aslani, Farhad;Patel, Vipul
    • Steel and Composite Structures
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    • v.28 no.5
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    • pp.559-571
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    • 2018
  • In current engineering practice, circular concrete-filled steel tubular (CFST) columns have been used as effective structural components due to their significant structural and economic benefits. To apply these structural components into steel-concrete composite moment resisting frames, increasing number of research into the column-base connections of circular CFST columns have been found. However, most of the previous research focused on the strength, rigidity and seismic resisting performance of the circular CFST column-base connections. The present paper attempts to investigate the demountability of bolted circular CFST column-base connections using the finite element method. The developed finite element models take into account the effects of material and geometric nonlinearities; the accuracy of proposed models is validated through comparison against independent experimental results. The mechanical performance of CFST column-base connections with both permanent and demountable design details are compared with the developed finite element models. Parametric studies are further carried out to examine the effects of design parameters on the behaviour of demountable circular CFST column-base connections. Moreover, the initial stiffness and moment capacity of such demountable connections are compared with the existing codes of practice. The comparison results indicate that an improved prediction method of the initial stiffness for these connections should be developed.