Journals / Bayburt Eğitim Fakültesi Dergisi / 2017 / Cilt: 12 - Sayı: 24

Awareness of Arithmetic and Algebra Concepts

Aritmetik ve Cebir Kavramları ile İlgili Farkındalık

Pages
527–558
Publication Date
2017-12-29
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Findings revealed that teachers could not effectively define the concepts of arithmetic, algebra and transition from arithmetic to algebra and that they could not distinguish the connections, relationships and differences between these two fields.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Teachers need to have in-depth knowledge of arithmetic and algebraic concepts to establish the connection between arithmetic and algebra fields of mathematics and to eliminate the difficulties caused by differences inherent in these fields.
📊
Key Findings & Data:Participants of the study consist of 15 mathematics teachers who teach mathematics at middle schools in Trabzon, Gümüşhane and Bayburt.
💡
Conclusion & Impact:Findings revealed that teachers could not effectively define the concepts of arithmetic, algebra and transition from arithmetic to algebra and that they could not distinguish the connections, relationships and differences between these two fields.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Aritmetik · cebir · farkındalık

Abstract

Teachers need to have in-depth knowledge of arithmetic and algebraic concepts to establish the connection between arithmetic and algebra fields of mathematics and to eliminate the difficulties caused by differences inherent in these fields. Within this context, the aim of this study is to determine the awareness of middle school mathematics teachers about the concepts of arithmetic and algebra. This study is conducted as a qualitative research. Participants of the study consist of 15 mathematics teachers who teach mathematics at middle schools in Trabzon, Gümüşhane and Bayburt. Semi-structured interview form was used as data collection tool in the study. In the analysis of the data obtained through the interview, content analysis technique was used. Findings revealed that teachers could not effectively define the concepts of arithmetic, algebra and transition from arithmetic to algebra and that they could not distinguish the connections, relationships and differences between these two fields.

Özet

Matematiğin aritmetik ile cebir öğrenme alanları arasındaki bağlantıların kurulabilmesinde ve bu iki alanın doğasından kaynaklanan farklılıkların neden olduğu zorlukların giderilmesinde, öğretmenlerin aritmetik ve cebir kavramları ile ilgili derinlemesine bilgi sahibi olması gerekmektedir. Bu bağlamda çalışmanın amacı, ortaokul matematik öğretmenlerinin aritmetik ve cebir kavramları ile ilgili farkındalıklarını belirlemektir. Bu araştırma nitel bir çalışma olarak tasarlanmıştır. Araştırmanın çalışma grubunu, Trabzon, Gümüşhane ve Bayburt illerindeki ortaokullarda matematik öğretmenliği yapan 15 matematik öğretmeni oluşturmaktadır. Araştırmanın verileri; çalışma grubunda yer alan ortaokul matematik öğretmenleriyle yürütülen yarı yapılandırılmış görüşme tekniği ile toplanmıştır. Görüşme yoluyla elde edilen verilerin analizinde içerik analizi tekniğinden yararlanılmıştır. Elde edilen bulgular öğretmenlerin aritmetik, cebir ve aritmetikten cebire geçiş kavramlarını etkili bir şekilde tanımlayamadığını, bu iki alan arasındaki bağlantıları, ilişkileri ve farklılıkları ayrıt edemediğini ortaya çıkarmıştır.

🔖

Cite This Article

AKKAN, Y., AKKAN, P., GÜVEN, B. (2017). Awareness of Arithmetic and Algebra Concepts. Bayburt Eğitim Fakültesi Dergisi, Cilt: 12 - Sayı: 24, 527–558. https://ajindex.com/articles/55917

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Akgün, L. (2006). Cebir ve değişken kavramı üzerine. Journal of Qafqaz University, 17(1). 25-29.
  2. Akkan, Y. (2009). İlköğretim öğrencilerinin aritmetikten cebire geçiş süreçlerinin incelenmesi, (Yayımlanmamış doktora tezi), Karadeniz Teknik Üniversitesi,
  3. Trabzon, Türkiye. Akkan, Y., Baki, A. ve Çakıroğlu, Ü. (2011). Aritmetik ile cebir arasındaki farklılıklar: Cebir öncesinin önemi. İlköğretim Online, 10(3), 812-823.
  4. Armstrong, B. (1995). Teaching patterns, relationships, and multiplication as worthwhile mathematical tasks. Teaching Children Mathematics, 1(7), 446-450.
  5. Attorps, I. (2005). Secondary school teachers’ conceptions about algebra teaching. Paper presented at the Fourth Congress of the European Society for Research in Mathematics Education. Sant Feliu de Guíxols, Spain. Retrieved October 5, 2005, from http://cerme4.crm.es/Papers%20definitius/12/attorps.pdf.
  6. Ball, D. L. (1992). Teaching mathematics for understanding: What do teachers need to know about subject matter? In M. Kennedy (Ed.), Teaching academic subjects to diverse learners (pp. 63-83).
  7. New York, NY: Teachers College. Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407.
  8. Bednarz, N. (2001). A problem solving approach to algebra: Accounting for reasonings and notations developed by students. In H. Chick, K. Stacey, J. Vincent & J. Vincent (Eds.), Proceedings of the 12th ICMI study conference: The future of the teaching and learning of algebra (pp. 69-78).
  9. The University of Melbourne. Bednarz, N., & Janvier, B. (1996). Emergence and development of algebra as a problem-solving tool: Continuities and discontinuities with arithmetic. In N. Bednarz, C. Kieran, & L. Lee (Eds.), Approaches to algebra: Perspectives for research and teaching (pp. 115-136). Boston: Kluwer Academic Publishers.
  10. Bell, A. (1996). Problem solving approaches to algebra: Two aspects. In N. Bernardz, C. Kieran & L. Lee (Eds.), Approaches to algebra. perspectives to research and teaching dordretch (pp.167-187). The Netherlands: Kluwer Academic Publishers.
  11. Booth, L. (1984). Algebra: Children’s strategies and errors. Windsor, UK: NFER-Nelson. Booth, L. (1988). Children's difficulties in beginning algebra. In A. F. Coxford (Eds.), The ideas of algebra, K-12 (pp. 20–32).
  12. Reston, VA: NCTM. Borko, H., & Shavelson, R. (1990). Teacher decision making. In B. F. Jones & L. Idol (Eds.), Dimensions of thinking and cognitive instruction (pp.