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      가상조작물-반구체물-추상기호의 순차적 교수가 지적장애 학생의 수학 학습에 미치는 효과 = The Effects of Virtual-Representational-Abstract Instructional Sequence on Math Learning for a Student with Intellectual Disability

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      https://www.riss.kr/link?id=A109017867

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      [Purpose] Mathematics proficiency holds significant importance in the academic development of children with intellectual disabilities, while also playing a crucial role in a high quality of life.
      However, many students with intellectual disabilities have difficulty understanding abstract mathematical concepts and skills. Due to the special and individualized learning needs of these children, interventions that are highly adaptive and customized are essential. Therefore, this study was conducted to prove the effectiveness of the Virtual-Representational-Abstract(VRA) instructional sequence in facilitating mathematics learning for one elementary school student with an intellectual disability. [Method] The experiment had a was multiple probe across behaviors design focused on three math learning areas based on the participant’s individual needs: place value, addition, and subtraction. The teacher that provided the intervention was the special education teacher at the student’s school. The teacher conducted baseline, intervention, maintenance sessions with the student for 10 weeks, on a one-on-one basis, in a special class. As the independent variable, the VRA instructional sequence was conducted during three phases while using the app “Number Pieces”, while drawing and while not using any tools. The researcher performed visual analysis for each math learning area, and calculated Tau-U values and PND. [Results] As a result of the study, it was found that intervention improved accuracy in all behaviors. The effect size of intervention and maintenance was very large at 1.00 for all behaviors. The researchers found a functional relation between the intervention package and the student’s math accuracy. [Conclusion] The Virtual- RepresentationalAbstract instructional sequence had a significant positive effect on math learning for a student with intellectual disability
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      [Purpose] Mathematics proficiency holds significant importance in the academic development of children with intellectual disabilities, while also playing a crucial role in a high quality of life. However, many students with intellectual disabilities h...

      [Purpose] Mathematics proficiency holds significant importance in the academic development of children with intellectual disabilities, while also playing a crucial role in a high quality of life.
      However, many students with intellectual disabilities have difficulty understanding abstract mathematical concepts and skills. Due to the special and individualized learning needs of these children, interventions that are highly adaptive and customized are essential. Therefore, this study was conducted to prove the effectiveness of the Virtual-Representational-Abstract(VRA) instructional sequence in facilitating mathematics learning for one elementary school student with an intellectual disability. [Method] The experiment had a was multiple probe across behaviors design focused on three math learning areas based on the participant’s individual needs: place value, addition, and subtraction. The teacher that provided the intervention was the special education teacher at the student’s school. The teacher conducted baseline, intervention, maintenance sessions with the student for 10 weeks, on a one-on-one basis, in a special class. As the independent variable, the VRA instructional sequence was conducted during three phases while using the app “Number Pieces”, while drawing and while not using any tools. The researcher performed visual analysis for each math learning area, and calculated Tau-U values and PND. [Results] As a result of the study, it was found that intervention improved accuracy in all behaviors. The effect size of intervention and maintenance was very large at 1.00 for all behaviors. The researchers found a functional relation between the intervention package and the student’s math accuracy. [Conclusion] The Virtual- RepresentationalAbstract instructional sequence had a significant positive effect on math learning for a student with intellectual disability

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      참고문헌 (Reference)

      1 표윤희 ; 이희연, "특수학급 교사가 인식하는 중도중복장애학생 통합교육 실태 및 지원요구" 24 (24): 1-25, 2023

      2 조민균 ; 손승현, "특수교육요구(SNE)를 지원하기 위한 특수교사의 교수역량 및 교원연수 교육과정 요구도 분석" 21 (21): 71-94, 2020

      3 강경호 ; 박진석, "코로나-19로 인한 원격수업 운영에 관한 특수학교 담임교사의 인식 및 경험 연구" 23 (23): 33-56, 2022

      4 김애화 ; 백지은, "직접교수 및 CSA 전략의 활용이 수학학습장애 중학생의 정수 및유리수 계산 능력에 미치는 효과" 78 : 69-95, 2020

      5 이애은, "직접 교수와 CSA 전략을 활용한 수감각 프로그램이 수학학습장애 학생의수감각 능력에 미치는 영향" 3 (3): 59-88, 2022

      6 이해란 ; 박창언 ; 양진숙, "지적장애 특수학교 초등특수교사의 수학과 교육과정차별화 경험에 관한 내러티브 탐구" 21 (21): 1-19, 2020

      7 정현승 ; 김애화 ; 윤나영, "증거기반교수를 활용한 수감각 프로그램이 수학학습장애 위험군 아동의 수 분해와 합성 유창성 및 기본 연산 능력에 미치는 효과" 36 (36): 177-201, 2020

      8 백지은 ; 김애화, "증거기반교수를 활용한 분수 지도가 수학학습장애 학생의 분수 학습능력에 미치는 효과-분수의 개념과 덧셈, 뺄셈을 중심으로-" 32 (32): 19-46, 2019

      9 김자경 ; 서주영 ; 강혜진, "유아의 수학적 태도와 수학 성취에 대한 CRA 교수 기반수감각 프로그램의 효과성 검증 : 중재반응모형 1단계 적용" 54 (54): 297-319, 2020

      10 노소온, "시각적 표상을 활용한 수감각 교수가 지적장애 학생의 기본 덧셈과 뺄셈성취도에 미치는 영향" 21 (21): 49-70, 2020

      1 표윤희 ; 이희연, "특수학급 교사가 인식하는 중도중복장애학생 통합교육 실태 및 지원요구" 24 (24): 1-25, 2023

      2 조민균 ; 손승현, "특수교육요구(SNE)를 지원하기 위한 특수교사의 교수역량 및 교원연수 교육과정 요구도 분석" 21 (21): 71-94, 2020

      3 강경호 ; 박진석, "코로나-19로 인한 원격수업 운영에 관한 특수학교 담임교사의 인식 및 경험 연구" 23 (23): 33-56, 2022

      4 김애화 ; 백지은, "직접교수 및 CSA 전략의 활용이 수학학습장애 중학생의 정수 및유리수 계산 능력에 미치는 효과" 78 : 69-95, 2020

      5 이애은, "직접 교수와 CSA 전략을 활용한 수감각 프로그램이 수학학습장애 학생의수감각 능력에 미치는 영향" 3 (3): 59-88, 2022

      6 이해란 ; 박창언 ; 양진숙, "지적장애 특수학교 초등특수교사의 수학과 교육과정차별화 경험에 관한 내러티브 탐구" 21 (21): 1-19, 2020

      7 정현승 ; 김애화 ; 윤나영, "증거기반교수를 활용한 수감각 프로그램이 수학학습장애 위험군 아동의 수 분해와 합성 유창성 및 기본 연산 능력에 미치는 효과" 36 (36): 177-201, 2020

      8 백지은 ; 김애화, "증거기반교수를 활용한 분수 지도가 수학학습장애 학생의 분수 학습능력에 미치는 효과-분수의 개념과 덧셈, 뺄셈을 중심으로-" 32 (32): 19-46, 2019

      9 김자경 ; 서주영 ; 강혜진, "유아의 수학적 태도와 수학 성취에 대한 CRA 교수 기반수감각 프로그램의 효과성 검증 : 중재반응모형 1단계 적용" 54 (54): 297-319, 2020

      10 노소온, "시각적 표상을 활용한 수감각 교수가 지적장애 학생의 기본 덧셈과 뺄셈성취도에 미치는 영향" 21 (21): 49-70, 2020

      11 유현주 ; 김애화, "시각적 모델을 활용한 CSA 전략 교수가 수학 학습부진 초등학생의 곱셈 성취도에 미치는 영향" 21 (21): 399-415, 2021

      12 허혜자 ; Jenifer Suh ; Patricia S. Moyer, "수학에 대한 자신감 증진 : 가상학습교구를 통한 분수 개념 이해의 결과" 14 (14): 207-219, 2004

      13 고연화 ; 임경원, "수-대화 기반 CSA 수업모형 적용 수학수업에서 나타난 특수교사의 실천적 지식과 지적장애학생의 변화" 16 (16): 79-110, 2023

      14 남혜진 ; 심은정 ; 한경인 ; 김유리, "국내 수학중재 단일대상 연구 동향 및 질적평가지표에 의한 분석" 16 (16): 409-432, 2015

      15 김은라 ; 박재국 ; 장지현, "교사-학생 간 상호작용이 특수교사의 행복감에 미치는 영향 : 교사효능감의 매개효과를 중심으로" 23 (23): 227-250, 2022

      16 박지윤, "가상조작물 기반의 순차적 교수가 발달장애학생의 분수 덧셈 학습에 미치는 효과" 13 (13): 37-49, 2023

      17 Bouck, E. C., "Virtual and concrete manipulatives : A comparison of approaches for solving mathematics problems for students with autism spectrum disorder" 44 : 180-193, 2014

      18 Bouck, E. C., "Virtual Manipulative-Based Intervention Package to Teach Multiplication and Division to Secondary Students With Developmental Disabilities" 35 (35): 195-207, 2020

      19 Park, J., "Using the virtual–representational–abstract with overlearning instructional sequence to students with disabilities in mathematics" 54 (54): 228-238, 2021

      20 Bouck, E. C., "Using the virtual–representational–abstract approach to support students with intellectual disability in mathematics" 33 (33): 237-248, 2018

      21 Bouck, E. C., "Using the virtual-abstract instructional sequence to teach addition of fractions" 70 : 163-174, 2017

      22 Bouck, E. C., "Using the virtual-abstract instructional sequence to support acquisition of algebra" 34 (34): 253-268, 2019

      23 Kaya, S., "Using the concrete–representational–abstract sequence to teach math skills to a student with autism spectrum disorder in a general education classroom" 1-12, 2023

      24 Park, J., "Using a virtual manipulative intervention package to support maintenance in teaching subtraction with regrouping to students with developmental disabilities" 50 : 63-75, 2020

      25 Margaret Flores, "Using Concrete-representational-abstract Integrated Sequence to Teach Geometry to Students who Struggle" 25 (25): 227-244, 2022

      26 박현 ; 김애화, "Touchmath 원리와 직접교수를 적용한 프로그램이 수학 학습장애학생의 덧셈‘뺄셈 수행능력에 미치는 효과" 14 (14): 259-289, 2007

      27 Bouck, E. C., "Teaching students to solve subtraction problems online via the virtual-representational-abstract instructional sequence" 13 (13): 197-213, 2021

      28 Bouck, E. C., "Teaching equivalent fractions to secondary students with disabilities via the virtual–representational–abstract instructional sequence" 32 (32): 220-231, 2017

      29 Jordan, N. C., "Socioeconomic variation, number competence, and mathematics learning difficulties in young children" 15 (15): 60-68, 2009

      30 Ledford, J. R., "Single case research methodology : Applications in special education and behavioral sciences" Routledge 4324-, 2014

      31 Gast, D. L., "Single case research methodology" Routledge 4324-, 2014

      32 강하늘 ; 최아름 ; 김유리, "Research Trends and Qualitative Analysis of Single-Case Studies on Mathematics Intervention for Students with Severe Disabilities" 66 (66): 1-28, 2023

      33 Billingsley, F., "Procedural reliability : A rationale and an example" 2 (2): 229-241, 1980

      34 Baccaglini-Frank, A., "Multi-touch technology and preschoolers’development of number-sense" 1 : 7-27, 2015

      35 Bouck, E. C., "Manipulative apps to support students with disabilities in mathematics" 53 (53): 177-182, 2017

      36 White, O. R., "Exceptional teaching" Merrill 1980

      37 Bassette, L., "Comparison of concrete and app-based manipulatives to teach subtraction skills to elementary students with autism" 54 (54): 391-405, 2019

      38 Parker, R. I., "Combining nonoverlap and trend for single-case research : Tau-U" 42 (42): 284-299, 2011

      39 이승희 ; 김애화, "CSA(구체물-반구체물-추상물)단계에 따른 기억전략 및 자릿값교수가 수학학습장애아동의 받아내림 뺄셈 성취에 미치는 영향" 17 (17): 1-21, 2021

      40 김자경 ; 서주영 ; 강혜진 ; 신정원, "CRA 전략 기반 수감각 프로그램의 효과 검증 : 중재반응모델 2단계 적용" 29 (29): 127-148, 2019

      41 Jimenez, B. A., "Building early numeracy through virtual manipulatives for students with intellectual disability and autism" 55 (55): 28-44, 2020

      42 Brainingcamp, "Brainingcamp"

      43 Kim, D. I., "Basic academic skills assessment: math" Hakjisa 2007

      44 Kim, D. I., "Basic academic skills assessment: Number sense" Hakjisa 2011

      45 Spooner, F., "An updated evidence-based practice review on teaching mathematics to students with moderate and severe developmental disabilities" 40 (40): 150-165, 2019

      46 Stroizer, S., "An investigation of the effects of CRA instruction and students with autism spectrum disorder" 223-236, 2015

      47 Parker, R. I., "An improved effect size for single-case research : Nonoverlap of all pairs" 40 (40): 357-367, 2009

      48 Long, H. M., "An evidence-based practice synthesis of virtual manipulatives for students with ASD and IDD" 38 (38): 147-157, 2023

      49 Bouck, E. C., "Adding it up : Comparing concrete and app-based manipulatives to support students with disabilities with adding fractions" 33 (33): 194-206, 2018

      50 Bassette, L., "Adapting a virtual manipulative-based instructional sequence to target maintenance" 136 : 104488-, 2023

      51 Schnepel, S., "A systematic review of mathematics interventions for primary school students with intellectual disabilities" 37 (37): 663-678, 2022

      52 Wright, J. C., "A review of video modeling to teach STEM to students with autism and intellectual disability" 70 : 101476-, 2020

      53 Peltier, C., "A meta-analysis of single-case research using mathematics manipulatives with students at risk or identified with a disability" 54 (54): 3-15, 2020

      54 Lambert, R., ""The wall now between us" : Teaching math to students with disabilities during the COVID spring of 2020" 30 (30): 289-298, 2021

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