Shanty, Nenden Octavarulia
This study aimed at implementing the instructional activities of learning the extraction of square roots based on Liu Hui's geometrical approach. The mathematical problems were designed based on the instructional sequence in which Realistic Mathematics Education (RME) approach was used as the base for the learning. Design research was chosen to achieve this research aim. In design research, the instructional sequence plays important role as a design and research instrument. It was designed in the phase of preliminary design and tested to three Bachelor level students at Middle East Technical University, Turkey. The designed instructional sequence was then compared with students' actual learning in the experimental phase and analyzed in which students learned or did not learn from what we had conjectured them to learn in the retrospective analysis phase. The result of the experiments showed that the context of finding the length of the fence (for a square land), coupled with geometry approach based on Liu Hui's method, has a potential for learning the extraction of square roots.


Koyuncu, Ilhan; Akyüz, Didem; Çakıroğlu, Erdinç (Springer Science and Business Media LLC, 2015-08-01)
This study aims to investigate plane geometry problem-solving strategies of prospective mathematics teachers using dynamic geometry software (DGS) and paper-and-pencil (PPB) environments after receiving an instruction with GeoGebra (GGB). Four plane geometry problems were used in a multiple case study design to understand the solution strategies developed by 2 prospective teachers. The results revealed that although the participants mostly used algebraic solutions in the PPB environment, they preferred geom...
The Comparative Effects of Prediction/Discussion-Based Learning Cycle, Conceptual Change Text, and Traditional Instructions on Student Understanding of Genetics
Yilmaz, Diba; Öztekin, Ceren; Sungur, Semra (Informa UK Limited, 2011-01-01)
The present study examined the comparative effects of a prediction/discussion-based learning cycle, conceptual change text (CCT), and traditional instructions on students' understanding of genetics concepts. A quasi-experimental research design of the pre-test-post-test non-equivalent control group was adopted. The three intact classes, taught by the same science teacher, were randomly assigned as prediction/discussion-based learning cycle class (N = 30), CCT class (N = 25), and traditional class (N = 26). ...
The nature of middle school mathematics teachers subject matter knowledge The case of volume of prisms
Tekin Sitrava, Reyhan; Işıksal Bostan, Mine (2016-01-01)
This qualitative case study examined Turkish middle school teachers' subject matter knowledge in terms of alternative solution methods that they propose to calculate the volume of prisms. The data was collected from four middle school teachers through the questionnaire, semi-structured interviews, and classroom observations. The results from the questionnaire revealed that the middle school teachers stated four alternative solution methods; volume formula, systematic counting, layer counting and column/row ...
The effect of cooperative learning approach based on conceptual change conditions on students understanding of chemical equilibrium
Bilgin, İbrahim; Geban, Ömer; Department of Secondary Science and Mathematics Education (2002)
The purpose of this study was to investigate the effects of the cooperative learning approach based on conceptual change conditions over traditional instruction on 10th grade students' conceptual understanding and achievement of computational problems related to chemical equilibrium concepts. In addition, the effects of students' performance in small group work on the students' conceptual understanding and achievement of computational problems related to chemical equilibrium was investigated. mThe subjects ...
The Role of the Teacher in Supporting Imagery in Understanding Integers
Akyüz, Didem; Dixon, Juli K. (2012-01-01)
This paper presents the results of a design experiment conducted in a 7th grade mathematics classroom aimed at improving students' understanding of integer concepts and operations. The study particularly focuses on an expert teacher's role in helping students develop meaningful imagery which students can use as a foundation to fold back and rely on as they engage in further mathematical activities. Toulmin's model of argumentation is used as an analytical tool to document when an image becomes taken-as-shar...
Citation Formats
N. O. Shanty, “THE USE OF HISTORY OF MATHEMATICS IN LEARNING THE EXTRACTION OF SQUARE ROOTS,” 2016, p. 42, Accessed: 00, 2020. [Online]. Available: