Yıl 2019, Cilt 10 , Sayı 3, Sayfalar 588 - 616 2019-12-13

Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction

Dilek Girit Yıldız [1] , Didem Akyüz [2]


Teachers use their content and pedagogical content knowledge for teaching algebra. For this reason, the examination of how teachers use this knowledge may help shed light on how students learn algebra, especially in determining why they usually have difficulties. The aim of the current study is to reveal what teachers know, and propose what they actually need to know for teaching the simplification and equivalence of algebraic expressions. The multiple-case study design was used for this study to compare and contrast the two middle school teachers’ lesson planning and instruction. The data corpus included lesson plans, actual instruction records, and post-observation interviews. Data analysis was conducted using the Mathematical Knowledge for Teaching (MKT) model. The findings indicated that both teachers had a lack of specialized content knowledge about mathematical representations such as algebra tiles. They did not use algebra tiles effectively and could not link algebraic and geometric representations that underlie the idea of multiplication. It was observed that both teachers generally used unknowns and variables interchangeably indicating the inadequacy of their common content knowledge. In the planning process, the two teachers were able to state the common misconceptions that the students generally had and the ways of addressing them. Through the cases of these two teachers, it was observed that teachers need to have a good conceptual mathematical understanding and also knowledge of students’ thinking in order to design effective lessons. Based on the findings, the types of knowledge that the teachers need to have are outlined and the theoretical and practical implications of the study are discussed.

Equivalence of algebraic expressions, mathematical knowledge for teaching, simplification of algebraic expressions, middle school mathematics teacher
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Birincil Dil en
Konular Sosyal
Bölüm Araştırma Makaleleri
Yazarlar

Orcid: 0000-0003-3406-075X
Yazar: Dilek Girit Yıldız (Sorumlu Yazar)
Kurum: Trakya Üniversitesi
Ülke: Turkey


Yazar: Didem Akyüz

Tarihler

Yayımlanma Tarihi : 13 Aralık 2019

Bibtex @araştırma makalesi { turkbilmat487243, journal = {Turkish Journal of Computer and Mathematics Education (TURCOMAT)}, issn = {}, eissn = {1309-4653}, address = {}, publisher = {Türkbilmat Eğitim Hizmetleri}, year = {2019}, volume = {10}, pages = {588 - 616}, doi = {10.16949/turkbilmat.487243}, title = {Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction}, key = {cite}, author = {Girit Yıldız, Dilek and Akyüz, Didem} }
APA Girit Yıldız, D , Akyüz, D . (2019). Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction. Turkish Journal of Computer and Mathematics Education (TURCOMAT) , 10 (3) , 588-616 . Retrieved from https://dergipark.org.tr/tr/pub/turkbilmat/issue/50604/487243
MLA Girit Yıldız, D , Akyüz, D . "Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 10 (2019 ): 588-616 <https://dergipark.org.tr/tr/pub/turkbilmat/issue/50604/487243>
Chicago Girit Yıldız, D , Akyüz, D . "Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 10 (2019 ): 588-616
RIS TY - JOUR T1 - Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction AU - Dilek Girit Yıldız , Didem Akyüz Y1 - 2019 PY - 2019 N1 - DO - T2 - Turkish Journal of Computer and Mathematics Education (TURCOMAT) JF - Journal JO - JOR SP - 588 EP - 616 VL - 10 IS - 3 SN - -1309-4653 M3 - UR - Y2 - 2019 ER -
EndNote %0 Türk Bilgisayar ve Matematik Eğitimi Dergisi Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction %A Dilek Girit Yıldız , Didem Akyüz %T Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction %D 2019 %J Turkish Journal of Computer and Mathematics Education (TURCOMAT) %P -1309-4653 %V 10 %N 3 %R %U
ISNAD Girit Yıldız, Dilek , Akyüz, Didem . "Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 10 / 3 (Aralık 2019): 588-616 .
AMA Girit Yıldız D , Akyüz D . Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2019; 10(3): 588-616.
Vancouver Girit Yıldız D , Akyüz D . Examining Two Middle School Mathematics Teachers’ Knowledge for Teaching Manipulation of Algebraic Expressions during Lesson Planning and Instruction. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2019; 10(3): 616-588.