INVESTIGATING PLANE GEOMETRY PROBLEM-SOLVING STRATEGIES OF PROSPECTIVE MATHEMATICS TEACHERS IN TECHNOLOGY AND PAPER-AND-PENCIL ENVIRONMENTS

Date

2015-08-01

Author

Koyuncu, Ilhan
Akyüz, Didem
Çakıroğlu, Erdinç

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

279
views

0
downloads

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 geometric solutions in the GGB environment even though algebraic solutions were still possible (the software did not preclude them). Furthermore, different proofing strategies were developed in each environment. This suggests that changing the environment may prompt students to seek for additional solutions, which, in turn, results in a deeper understanding of the problem. As such, using both environments simultaneously in solving the same problems appears to bring about important benefits.

Subject Keywords

Education, General Mathematics

URI

https://hdl.handle.net/11511/47017

Journal

INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION

DOI

https://doi.org/10.1007/s10763-014-9510-8

Collections

Department of Mathematics and Science Education, Article

Suggestions

OpenMETU
Core

Exploring prospective teachers' noticing of students' understanding through micro-case videos ULUSOY, FADİME; Çakıroğlu, Erdinç (Springer Science and Business Media LLC, 2020-03-18) This paper explores the nature of prospective teachers' noticing of students' understanding as they analyze and discuss middle school students' understandings of trapezoids in micro-case videos in the context of geometry. In this exploratory study, the data were obtained from eight prospective middle school mathematics teachers through individual video analysis, reflection papers, and group discussions. The results indicated that the use of purposeful micro-case video designs based on prospective teachers' ...
THE THINKING-ABOUT-DERIVATIVE TEST FOR UNDERGRADUATE STUDENTS: DEVELOPMENT AND VALIDATION UBUZ, BEHİYE; Ubuz, Behiye (Springer Science and Business Media LLC, 2015-12-01) Two studies were conducted for the development and validation of a multidimensional test to assess undergraduate students' mathematical thinking about derivative. The first study involved two phases: question generation and refinement of the Thinking-about-Derivative Test (TDT). The second study included four phases as follows: test administration, generalizability analysis, confirmatory factor analysis, and subgroup validity analysis. Findings suggested that the 30-item multiple-choice TDT, which comprises...
Developing a Structural Model on the Relationship among Motivational Beliefs, Self-Regulated Learning Strategies, and Achievement in Mathematics FADLELMULA, Fatma Kayan; Çakıroğlu, Erdinç; Sungur, Semra (Springer Science and Business Media LLC, 2015-12-01) This study examines the interrelationships among students' motivational beliefs (i.e. achievement goal orientations, perception of classroom goal structure, and self-efficacy), use of self-regulated learning strategies (i.e. elaboration, organization, and metacognitive self-regulation strategies), and achievement in mathematics, by proposing and testing a structural model. Participants were 1,019 seventh grade students, enrolled in public elementary schools in Ankara, Turkey. Self-report questionnaires and ...
Investigating the use of technology on pre-service elementary mathematics teachers' plane geometry problem solving strategies Koyuncu, İlhan; Akyüz, Didem; Çakıroğlu, Erdinç; Department of Elementary Science and Mathematics Education (2013) The purpose of this study was to investigate plane geometry problem solving strategies of pre-service elementary mathematics teachers in technology and paper-and-pencil environments after receiving an instruction with GeoGebra. Qualitative research strategies were used to investigate teacher candidates‘ solution strategies. The data was collected and analyzed by means of a multiple case study design. The study was carried out with 7 pre-service elementary mathematics teachers. The main data sources were cla...
Mathematical Practices of Eighth Graders about 3D Shapes in an Argumentation, Technology, and Design-Based Classroom Environment Dogruer, Sule Sahin; Akyüz, Didem (Springer Science and Business Media LLC, 2020-01-02) This design research investigated the mathematical practices that eight graders (14-year-old students) developed when learning about prisms, cylinders, and their surface areas. An inquiry-based learning environment was created for students to engage in argumentation. The instruction was enriched by use of a dynamic geometry software, namely GeoGebra, to assist students in visualizing and reasoning about 3D shapes. Rasmussen and Stephan's three-phase method (2008) was used to organize the collected data, whi...

Citation Formats

I. Koyuncu, D. Akyüz, and E. Çakıroğlu, “INVESTIGATING PLANE GEOMETRY PROBLEM-SOLVING STRATEGIES OF PROSPECTIVE MATHEMATICS TEACHERS IN TECHNOLOGY AND PAPER-AND-PENCIL ENVIRONMENTS,” INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION, pp. 837–862, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47017.