Cognitive styles in posing geometry problems: implications for assessment of mathematical creativity

Determining the Geometry Problem Posing Performances of Eighth Grade Students in Different Problem Posing Situations

“…However, it is noticed in general that the conducted studies have focused on the numbers and operations (Bonotto, 2013;Bunar, 2011;Cai, 1998;Stoyanova, 2005), fractions (Atalay & Güveli, 2017;Bunar, 2011;Kar & Işık, 2015;Toluk-Uçar, 2009;Turhan & Güven, 2014), sets (Bunar, 2011;Şengül & Katrancı, 2012), ratio-proportion (Bayazit & Kırnap-Dönmez, 2017;Çelik & Yetkin-Özdemir, 2011), probability (Silber & Cai, 2017;Yıldız & Baltacı, 2015), and algebraic expressions (Akkan, Çakıroğlu, & Güven, 2009;Ünlü & Aktaş, 2017). In the literature, there is a limited number of studies in the field of geometry learning (Abu-Elwan, 2011; Chua & Wong, 2012;Kanbur, 2017;Lavy & Shriki, 2010;Singer, Voica, & Pelczer, 2017;Şengül-Akdemir & Türnüklü, 2017;Türnüklü, Ergin, & Aydoğdu, 2017). One of the frequently encountered situations related to geometry problem posing in the literature is problem posing in dynamic geometry environment.…”

Pengaruh Model Pembelajaran Generatif terhadap Peningkatan Self-Confidence Siswa Ditinjau dari Gaya Kognitif

“…Oleh karena itu, kegiatan mengkomunikasikan ini harus dibuat dalam suasana yang serius meskipun tetap terkesan santai dan menyenangkan. 6) Gaya Kognitif Menurut Ausburn dan Ausburn (Singer, Voica, & Pelezer, 2017) gaya kognitif adalah sebuah dimensi yang melukiskan konsistensi bagaimana setiap individu memproses informasi dari tugas yang berbeda. Sedangkan Kozhevnikov (Singer et al, 2017) mengungkapkan bahwa: "In addition, a range of variables, such as intellectual abilities, previous experience, habits, and personality traits, influence the development of a particular cognitive style".…”

“…6) Gaya Kognitif Menurut Ausburn dan Ausburn (Singer, Voica, & Pelezer, 2017) gaya kognitif adalah sebuah dimensi yang melukiskan konsistensi bagaimana setiap individu memproses informasi dari tugas yang berbeda. Sedangkan Kozhevnikov (Singer et al, 2017) mengungkapkan bahwa: "In addition, a range of variables, such as intellectual abilities, previous experience, habits, and personality traits, influence the development of a particular cognitive style". Yang berarti bahwa ada beberapa hal mempengaruhi gaya kognitif, yaitu kemampuan intelektual, pengalaman sebelumnya, kebiasaan dan sifat-sifat kepribadian lainnya.…”

Cognitive Styles: Characterization of College Students’ Creative Mathematical Thinking

“…The nature of mathematics is frequently associated with ideas, structures, and relationship organized logically. Therefore, mathematics can be used as a tool to evaluate the development of creativity (Sriraman, 2009;Nadjafikhah, 2012;Voica & Singer, 2013;Singer, 2015Singer, , 2016Akgul & Kahveci, 2016). A mathematical truth is expanded based on rationales and mathematical operations often include making and testing hypotheses, seeking for an analogy, creating connection, representation and generalization, building a communication, proving a theorem, and solving a problem.…”

“…Based on some previous research findings, cognitive styles fall into two major categories, field independent (FI) and field dependent (FD) (Ghani, 2004;Reid, 2014;Chu, 2007; Angeli, 2013; Philip, 2016). The differences in cognitive styles can be measured by a test known as Group Embedded Figure Test Research examining cognitive styles in mathematical creativity has been conducted by Singer et al (2016). Singer concluded that the nine cognitive style problem posing (PP) found were effective to measure university students' mathematical creativity in geometry.…”