Öğrenme Güçlüğüne Sahip ve İşitme Engelli Öğrencilerin Açı Kavrayışları

Açı kavramı günlük yaşam için önemli ve işlevsel olan geometri bilgisi gelişiminin merkezinde yer alır. Bu bağlamda çalışmanın amacı öğrenme güçlüğüne sahip (ÖGS) ve işitme engelli (İE) ortaokul öğrencilerinin açı kavramına dair kavrayışlarını incelemektir. Bir durum çalışması olan araştırmanın katılımcıları amaçlı örnekleme yöntemlerinden ölçüt örnekleme ve kolay ulaşılabilir örnekleme yöntemleri ile belirlenmiştir. Araştırmanın katılımcıları biri 6. sınıf öğrenme güçlüğüne sahip ve diğeri 6. sınıf işitme engelli iki öğrencidir. Öğrencilerle yapılan bireysel klinik görüşmeler sonucu toplanan veriler çapraz durum analizi yöntemi ile analiz edilmiştir. Araştırmada elde edilen bulgulara göre, her iki öğrencinin de açı kavrayışının açının şekli ile sınırlı kaldığı, yine her iki öğrencinin de açıda yön kavramının farkında olduğu ancak ÖGS öğrencinin açı kavramını daha çok statik olarak algıladığı, açı ölçümü ve açı ölçü birimine dair yeterli bilgiye sahip olmadığı, İE öğrencinin ise açı ve açı ölçüsü kavramlarını ayırt edemediği ancak ölçülerine göre açı çeşitlerinin farkında olduğu söylenebilir.

Angle Conceptions of Students with Learning Disabilities and Hearing Impairments

The angle concept is central to the development of geometry knowledge, which is important and functional for everyday life. In this context, the aim of this study was to examine the understanding of the angle concept of middle school students with learning disabilities (LDs) and hearing impairment (HI). The participants of this study, which was a case study, were identified with the criterion and convenience sampling methods. The participants were two students, one of whom with LDs and the other had a HI, each of whom was in grade 6. Data collected through individual clinical interviews with the students were analyzed using the cross-case analysis method. According to the findings of the study, the angle conception of both students was limited to the shape of the angle, and both students were aware of the concept of direction in the angle, but the student with the LD perceived the angle more statically, and did not have enough knowledge about the angle measurement or its unit. It was seen that the student with the HI confused the angle and angle measure, but was aware of the various angles according to their measures.

___

  • Andersson, U. (2010). Skill development in different components of arithmetic and basic cognitive functions: Findings from a 3- year longitudinal study of children with different types of learning difficulties. Journal of Educational Psychology, 102(1), 115- 134.
  • American Psychiatric Association (APA) (2013). Diagnostic and statical manual of mental disorders: DSM-5. Washington, D.C: American Psychiatric Association.
  • Atebe, H. U. & Schafer, M. (2008) “As soon as the four sides are all equal, then the angles must be 90° each”. Children's misconceptions in geometry, African Journal of Research in Mathematics, Science and Technology Education, 12(2), 47-65.
  • Ayantoye, C. A. & Luckner. J. L. (2016). Successful students who are deaf or hard of hearing and culturally and/or linguistically diverse in inclusive settings. American Annals of the Deaf, 160 (5), 453–466.
  • Aydın, U. (2018). Conceptual and procedural angle knowledge: Do gender and grade level make a difference? International Journal for Mathematics Teaching and Learning, 19(1), 22-46.
  • Argün, Z., Arıkan, A., Bulut, S., & Halıcıoğlu, S. (2014). Temel matematik kavramların künyesi (Tags of basic mathematical concepts). Ankara: Gazi.
  • Berndsen, M. & Luckner, J. (2012). Supporting students who are deaf or hard-of-hearing in general education classrooms: A Washington State case study. Communication Disorders Quarterly, 33, 111–118.
  • Bütüner, S. Ö. & Filiz, M. (2017). Exploring high-achieving sixth grade students’ erroneous answers and misconceptions on the angle concept. International Journal of Mathematical Education in Science and Technology, 48(4), 533-554.
  • Clements, D. H. & Battista, M. T. (1990). The effects of Logo on children's conceptualizations of angle and polygons. Journal for Research in Mathematics Education, 21, 356-371.
  • Clements, D. H. & Burns, B. A. (2000). Students' development of strategies for turn and angle measure. Educational Studies in Mathematics, 41, 31–45.
  • Clements, D. H. & Sarama, J. (2014). Learning and teaching early math: The learning trajectories approach. Routledge.
  • Cunningham, R. F. & Roberts, A. (2010). Reducing the mismatch of geometry Concept definitions and concept images held by pre-service teachers. Issues in the Undergraduate Mathematics Preparation of School Teachers, 1, 1-17.
  • Devichi, C. & Munier, V. (2013). About the concept of angle in elementary school: Misconceptions and teaching sequences. Journal of Mathematical Behavior, 32, 1–19.
  • Dowaliby, F. J. & Lang, H. G. (1999). Adjunct aids in instructional prose: A multimedia study with deaf college students. Journal of Deaf Studies and Deaf Education, 4, 270-282.
  • Clements, D. H., & Stephan, M. (2004). Measurement in pre-K to grade 2 mathematics. In D. H. Clements & J. Sarama (Eds.), Engaging young children in mathematics (pp. 299–317). Mahwah, NJ: Lawrence Erlbaum Associates.
  • Gargiulo, R. M. (2003). Education on contemporary society: An introduction to exceptionality. Thomson Learning: United Station.
  • Girgin, C. (2003). İşitme engellilerin eğitimine giriş (Introduction to the education of the hearing impaired). Eskişehir: Anadolu University Publications.
  • Goldin-Meadow, S., Shield A., Lenzen D., Herzig M., & Padden C. (2012). The gestures ASL signers use tell us when they are ready to learn. Cognition, 123(3), 448-453.
  • Govender, R. & de Villiers, M. (2003). Constructive evaluation of definitions in a dynamic geometry context. Journal of the Korea Society of Mathematical Education Series D: Research in Mathematical Education, 7(1), 41–58.
  • Grobecker, B. & De Lisi, R. (2000). An investigation of spatial-geometrical understanding in students with learning disabilities. Learning Disability Quarterly, 23(1), 7-22.
  • Gürefe, N. (2015). İşitme engelli öğrencilerin bazı geometrik kavramları tanımlamalarında semiyotik kaynakların kullanımı (The use of semı̇otı̇c resources on description process some geometric concepts of deaf students), Doctoral Dissertation, Gazi University, Institute of Educational Science, Ankara.
  • Güven Akdeniz, D. (2018). Öğrenme güçlüğüne sahip öğrencilerin uzunluk kavramına ilişkin öğrenme yol haritaları: Öğretim deneyi. (Learning Trajectories of Students with Learning Disabilities in Length Concept: A Teaching Experiment) Doctoral Dissertation, Gazi University, Institute of Educational Science, Ankara.
  • Güven, N. D. & Argün, Z. (2018). Width, length, and height conceptions of students with learning disabilities. Issues in Educational Research, 28(1), 77-98. http://www.iier.org.au/iier28/guven.pdf Individuals with Disabilities Education Improvement Act (IDEA) (2004), Pub. L. No. 108-446, 118 Stat. 37. https://sites.ed.gov/idea/
  • Jones, K., Mooney, C., & Harries, T. (2002) Trainee primary teachers’ knowledge of geometry for teaching. Proceedings of the British Society for Research into Learning Mathematics, 22(2), 95-100.
  • Karp, S. & Howell, P. (2004). Building responsibility for learning in students with special needs. Teaching Children Mathematics, 11 (3), 118– 126.
  • Kaur, H. (2020) Introducing the concept of angle to young children in a dynamic geometry environment. International Journal of Mathematical Education in Science and Technology, 51(2), 161-182.
  • Keiser, J. M. (2004). Struggles with developing the concept of angle: Comparing 6th grade students' discourse to the history of the angle concept. Mathematical Thinking and Learning, 6, 285–306.
  • Kelly, R. R., Lang, H. G., Mousley, K., & Davis, S. M. (2003). Deaf college students' comprehension of relational language in Arithmetic. Journal of Deaf Studies and Deaf Education, 8(2), 120-132.
  • Kelly, R. R. & Mousley, K. (2001). Solving word problems: More than reading issues for deaf students, American Annals of the Deaf, 146(3), 253-264.
  • Kieran, C. (1986). Logo and the notion of angle among fourth and sixth grade children. In Proceedings of the Tenth Annual Conference of the International Group for the Psychology of Mathematics Education, City University, London, England, p: 99– 104.
  • Lincoln, Y. S. & Guba, E. G. (1985). Naturalistic inquiry. Beverly Hills, CA: SAGE.
  • Lewis, K. E. (2011). Toward a reconceptualization of mathematical learning disabilities: A focus on difference rather than deficit. Doctoral Dissertation, University of California, Berkeley.
  • Lopez-Ludena, V., San-Segundo, R., Morcillo, A. G., Lopez, J. C., & Munoz, J. M. P. (2013). Increasing adaptability of a speech into sign language translation system. Expert Systems with Applications, 40, 1312-1322.
  • Magina, S. & Hoyles, C. (1997). Children’s understandings of turn and angle. Learning and teaching mathematics: An international perspective. Psychology Press, East Sussex, England, p: 99–114.
  • Mammarella, I. C., Giofrè, D., Ferrara, R., & Cornoldi, C. (2013). Intuitive geometry and visuospatial working memory in children showing symptoms of nonverbal learning disabilities. Child neuropsychology, 19(3), 235-249.
  • Marjanovic, M. M. (2007). Didactical analysis of primary geometric concepts II. The Teaching of Mathematics, 10(1), 11-36.
  • Marschark, M. & Hauser, P. C. (2012). Introduction to deaf children. In Marschark, M., Hauser, P. C. (Eds), How deaf children learn (pp. 11-24). New York, NY: Oxford University Press.
  • Goldin-Meadow, S., Shield A., Lenzen D., Herzig M., & Padden C. (2012). The gestures ASL signers use tell us when they are ready to learn. Cognition, 123(3), 448-453.
  • Govender, R. & de Villiers, M. (2003). Constructive evaluation of definitions in a dynamic geometry context. Journal of the Korea Society of Mathematical Education Series D: Research in Mathematical Education, 7(1), 41–58.
  • Grobecker, B. & De Lisi, R. (2000). An investigation of spatial-geometrical understanding in students with learning disabilities. Learning Disability Quarterly, 23(1), 7-22.
  • Gürefe, N. (2015). İşitme engelli öğrencilerin bazı geometrik kavramları tanımlamalarında semiyotik kaynakların kullanımı (The use of semı̇otı̇c resources on description process some geometric concepts of deaf students), Doctoral Dissertation, Gazi University, Institute of Educational Science, Ankara.
  • Güven Akdeniz, D. (2018). Öğrenme güçlüğüne sahip öğrencilerin uzunluk kavramına ilişkin öğrenme yol haritaları: Öğretim deneyi. (Learning Trajectories of Students with Learning Disabilities in Length Concept: A Teaching Experiment) Doctoral Dissertation, Gazi University, Institute of Educational Science, Ankara.
  • Güven, N. D. & Argün, Z. (2018). Width, length, and height conceptions of students with learning disabilities. Issues in Educational Research, 28(1), 77-98. http://www.iier.org.au/iier28/guven.pdf
  • Individuals with Disabilities Education Improvement Act (IDEA) (2004), Pub. L. No. 108-446, 118 Stat. 37. https://sites.ed.gov/idea/
  • Jones, K., Mooney, C., & Harries, T. (2002) Trainee primary teachers’ knowledge of geometry for teaching. Proceedings of the British Society for Research into Learning Mathematics, 22(2), 95-100.
  • Karp, S. & Howell, P. (2004). Building responsibility for learning in students with special needs. Teaching Children Mathematics, 11 (3), 118– 126.
  • Kaur, H. (2020) Introducing the concept of angle to young children in a dynamic geometry environment. International Journal of Mathematical Education in Science and Technology, 51(2), 161-182.
  • Keiser, J. M. (2004). Struggles with developing the concept of angle: Comparing 6th grade students' discourse to the history of the angle concept. Mathematical Thinking and Learning, 6, 285–306.
  • Kelly, R. R., Lang, H. G., Mousley, K., & Davis, S. M. (2003). Deaf college students' comprehension of relational language in Arithmetic. Journal of Deaf Studies and Deaf Education, 8(2), 120-132.
  • Kelly, R. R. & Mousley, K. (2001). Solving word problems: More than reading issues for deaf students, American Annals of the Deaf, 146(3), 253-264.
  • Kieran, C. (1986). Logo and the notion of angle among fourth and sixth grade children. In Proceedings of the Tenth Annual Conference of the International Group for the Psychology of Mathematics Education, City University, London, England, p: 99– 104.
  • Lincoln, Y. S. & Guba, E. G. (1985). Naturalistic inquiry. Beverly Hills, CA: SAGE.
  • Lewis, K. E. (2011). Toward a reconceptualization of mathematical learning disabilities: A focus on difference rather than deficit. Doctoral Dissertation, University of California, Berkeley.
  • Lopez-Ludena, V., San-Segundo, R., Morcillo, A. G., Lopez, J. C., & Munoz, J. M. P. (2013). Increasing adaptability of a speech into sign language translation system. Expert Systems with Applications, 40, 1312-1322.
  • Magina, S. & Hoyles, C. (1997). Children’s understandings of turn and angle. Learning and teaching mathematics: An international perspective. Psychology Press, East Sussex, England, p: 99–114.
  • Mammarella, I. C., Giofrè, D., Ferrara, R., & Cornoldi, C. (2013). Intuitive geometry and visuospatial working memory in children showing symptoms of nonverbal learning disabilities. Child neuropsychology, 19(3), 235-249.
  • Marjanovic, M. M. (2007). Didactical analysis of primary geometric concepts II. The Teaching of Mathematics, 10(1), 11-36.
  • Marschark, M. & Hauser, P. C. (2012). Introduction to deaf children. In Marschark, M., Hauser, P. C. (Eds), How deaf children learn (pp. 11-24). New York, NY: Oxford University Press.
  • Wood, D. J., Wood, H. A., & Howarth, S. P. (1983). Mathematical abilities of deaf school leavers. British Journal of Developmental Psychology, 1, 67-73. doi: 10.1111/j.2044-835X.1983.tb00544.x
  • Woodward, J., & Montague, M. (2002). Meeting the challenge of mathematics reform for students with learning disabilities. The Journal of Special Education, 36, 89-101.
  • Yazgan, G., Argün, Z., & Elçin, E. (2009). Teacher sceneries related to “Angle Concept”: Turkey case. Procedia Social and Behavioral Sciences, 1, 285–290.
  • Yin, R. K. (2013). Case study research: Design and methods. SAGE. Zarfaty Y., Nunes T., & Bryant P. (2004). The performance of young deaf children in spatial and temporal number tasks. Journal of Deaf Studies and Deaf Education, 9, 315-326.
  • Zhang, D., Ding, Y., Stegall, J., & Mo, L. (2012). The effect of visual chunking representation accommodation on geometry testing for students with math disabilities. Learning Disabilities Research & Practice, 27(4), 167-177.
Hacettepe Üniversitesi Eğitim Fakültesi Dergisi-Cover
  • Başlangıç: 1986
  • Yayıncı: Hacettepe Üniversitesi Eğitim Fakültesi Dekanlığı
Sayıdaki Diğer Makaleler

Türkçe Okul Öncesi Dönem Hikâye Kitaplarında Eylem Türü Üye Yapı, Morfolojik Yapı ve Belirteç Türü Etkileşimi

Çağrı KAYGISIZ

Identifying Career Tendencies: An Exploratory Study of University Students in Oman

Abdelkader Mohamed Abdelkader ELSAYED, Tamer KUTLUCA, Nur Hazirah NOH@SETH, Gökhan DAĞHAN, Khalid Muslem ALMASHIKHI, Moosa Ahmed SULAIMAN

Hayat Bilgisi Dersi Öğretim Programında Yer Alan Duyuşsal Alan Kazanımlarının Taksonomik Açıdan İncelenmesi

Esra MUTLU, Büşra Betül ALTUNBAŞ, Simge KAMBUR

Fen Bilimleri Dersi Öğretim Programlarında STEM Etkinliğine Yönelik Kazanımların Benzerlikleri: Türkiye Fiziksel Olaylar / Yeni Zelanda Fiziksel Dünya

Abdullah AYDIN, Zeliha KIVANÇ

Özel Yetenekli Ortaokul Öğrencilerinin Eğitiminde FeTeMM Yaklaşımına Dayalı Bir Öğretim Tasarımının Öğretim Sürecine Etkileri

Leyla AYVERDİ, Serap ÖZ AYDIN

Okulun Hazır Olması Yaklaşımı Bağlamında İlkokul Öğretmenlerinin Deneyimlerinin İncelenmesi: Fransa ve Türkiye

Hülya KARTAL, Fatih GÜNER

Üniversite Öğrencilerinin Öğrenme Nesneleri Kullanımlarının Öğrenme Nesnesi Kabul Modeline Göre İncelenmesi

G. Alev ÖZKÖK, M. Emin AKPOLAT

Geçici Koruma Altında Bulunan Öğrencilerin Okula Uyumları (Türk ve Suriyeli Öğrencilerin Gözünden)

Erdi YÜCE, Türkan DOĞAN

Zayıf Okuyucuların Çevrimiçi Anlama Süreci Hakkında Bir Eylem Araştırması

Özlem BAŞ, Douglas K. HARTMAN, Hayati AKYOL

Bilgisayar ve Öğretim Teknolojileri Eğitimi Bölümü Öğretmen Adaylarının Mesleki Yeterliklerine Yönelik Algıları

Ayşenur GÜLMEZ, Sibel SOMYÜREK