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Research paper thumbnail of Undergraduate Students’ Mathematical Proof Processes in a Calculus Course: A Case Study

Ankara Universitesi Egitim Bilimleri Fakultesi Dergisi, 2007

This qualitative case study is designed to determine students' views on and processes of construc... more This qualitative case study is designed to determine students' views on and processes of constructing proofs. The participants were two females and one male freshman students in a mathematics teacher training program. The participants were selected representing their proficiency level in Intro to Analysis II as low, medium and high achievers. Data were gathered through classroom observations, structured interviews and papers where students reflected their proof processes. The data were analyzed through content analysis by using a qualitative analysis software program, Nvivo 7. The findings describe students' proof schemes and approaches, as well as display the patterns in showing the relationship between proof schemes and approaches.

Research paper thumbnail of Undergraduate Students' Difficulties with Mathematical Proof and Proof Teaching 1

Research paper thumbnail of A Study of Pre-Service Science Teacher's Graphing Skills

Procedia Social and Behavioral Sciences, Dec 31, 2012

Teaching students how to read, to interpret and to construct graphs is a substantial educational ... more Teaching students how to read, to interpret and to construct graphs is a substantial educational object and it is also concluded that the students who can read graphs acquire additional capabilities, which will become more useful in science education. In the present study, it is aimed to investigate preand interpreting graphs. The study was carried out with 128 pre-service science teachers. Multiple-choice test items and openended questions were used to evaluate graphing skills of pre-service teachers. As a general result of study graph reading and interpretation skills of pre-service teachers are inadequate and also their graphing performances vary depending on the type of graph.

Research paper thumbnail of A Teaching Experiment on Development of Pre-Service Mathematics Teachers' Proving Skills

Bu çalışmanın amacı, matematik öğretmen adaylarının kanıtlama sürecindeki güçlüklerini belirlemek... more Bu çalışmanın amacı, matematik öğretmen adaylarının kanıtlama sürecindeki güçlüklerini belirlemek, kanıtlama deneyimi yaşadıkları ve grup tartışmalarıyla sosyal etkileşimde bulundukları öğretim etkinlikleri sonrasında kanıtlama becerilerindeki değişimi incelemektir. Çalışma, ortaöğretim matematik öğretmenliği programının dördüncü sınıfına devam etmekte olan altı öğrenciyle gerçekleştirilmiştir. Öğretmen adaylarının kanıtlama becerileri, koşullu önermeler ve koşullu önermelerin kanıtlanmasında kullanılabilecek doğrudan kanıt, olmayana ergi ve karşıt ters ile kanıt yöntemleri kapsamında incelenmiştir. Verilerin toplanması ve analizinde nitel yaklaşım benimsenmiş ve öğretme deneyi yöntemi uygulanmıştır. Çalışmanın sonucunda, öğrencilerin kanıtlama süreçlerinde farklı düzeylerde de olsa ilerleme olduğu ve kanıtla ilgili bazı güçlüklerini giderebildikleri görülmüştür. Öğretmen adaylarının, çalışma süresince gösterdikleri gelişme göz önünde bulundurularak lisans düzeyindeki matematik derslerinin işlenişine yönelik önerilerde bulunulmuştur.

Research paper thumbnail of Undergraduate Students' Mathematical Proof Processes in a Calculus Course: A Case Study

Ankara University, Journal of …, Jan 1, 2007

This qualitative case study is designed to determine students' views on and processes of construc... more This qualitative case study is designed to determine students' views on and processes of constructing proofs. The participants were two females and one male freshman students in a mathematics teacher training program. The participants were selected representing their proficiency level in Intro to Analysis II as low, medium and high achievers. Data were gathered through classroom observations, structured interviews and papers where students reflected their proof processes. The data were analyzed through content analysis by using a qualitative analysis software program, Nvivo 7. The findings describe students' proof schemes and approaches, as well as display the patterns in showing the relationship between proof schemes and approaches. 0 312 297 6104  Doç. Dr. Hacettepe Üniversitesi Eğitim Fakültesi Bilgisayar ve Öğretim Teknolojileri Eğitimi Bölümü altunar@hacettepe.edu.tr 0 312 297 6217  Prof. Dr. Hacettepe Üniversitesi Eğitim Fakültesi Bilgisayar ve Öğretim Teknolojileri Eğitimi Bölümü paskar@hacettepe.edu.tr 0 312 297 7176

Research paper thumbnail of UNDERGRADUATE STUDENTS'DIFFICULTIES WITH MATHEMATICAL PROOF AND PROOF TEACHING

Research paper thumbnail of Undergraduate Students’ Mathematical Proof Processes in a Calculus Course: A Case Study

Ankara Universitesi Egitim Bilimleri Fakultesi Dergisi, 2007

This qualitative case study is designed to determine students' views on and processes of construc... more This qualitative case study is designed to determine students' views on and processes of constructing proofs. The participants were two females and one male freshman students in a mathematics teacher training program. The participants were selected representing their proficiency level in Intro to Analysis II as low, medium and high achievers. Data were gathered through classroom observations, structured interviews and papers where students reflected their proof processes. The data were analyzed through content analysis by using a qualitative analysis software program, Nvivo 7. The findings describe students' proof schemes and approaches, as well as display the patterns in showing the relationship between proof schemes and approaches.

Research paper thumbnail of Undergraduate Students' Difficulties with Mathematical Proof and Proof Teaching 1

Research paper thumbnail of A Study of Pre-Service Science Teacher's Graphing Skills

Procedia Social and Behavioral Sciences, Dec 31, 2012

Teaching students how to read, to interpret and to construct graphs is a substantial educational ... more Teaching students how to read, to interpret and to construct graphs is a substantial educational object and it is also concluded that the students who can read graphs acquire additional capabilities, which will become more useful in science education. In the present study, it is aimed to investigate preand interpreting graphs. The study was carried out with 128 pre-service science teachers. Multiple-choice test items and openended questions were used to evaluate graphing skills of pre-service teachers. As a general result of study graph reading and interpretation skills of pre-service teachers are inadequate and also their graphing performances vary depending on the type of graph.

Research paper thumbnail of A Teaching Experiment on Development of Pre-Service Mathematics Teachers' Proving Skills

Bu çalışmanın amacı, matematik öğretmen adaylarının kanıtlama sürecindeki güçlüklerini belirlemek... more Bu çalışmanın amacı, matematik öğretmen adaylarının kanıtlama sürecindeki güçlüklerini belirlemek, kanıtlama deneyimi yaşadıkları ve grup tartışmalarıyla sosyal etkileşimde bulundukları öğretim etkinlikleri sonrasında kanıtlama becerilerindeki değişimi incelemektir. Çalışma, ortaöğretim matematik öğretmenliği programının dördüncü sınıfına devam etmekte olan altı öğrenciyle gerçekleştirilmiştir. Öğretmen adaylarının kanıtlama becerileri, koşullu önermeler ve koşullu önermelerin kanıtlanmasında kullanılabilecek doğrudan kanıt, olmayana ergi ve karşıt ters ile kanıt yöntemleri kapsamında incelenmiştir. Verilerin toplanması ve analizinde nitel yaklaşım benimsenmiş ve öğretme deneyi yöntemi uygulanmıştır. Çalışmanın sonucunda, öğrencilerin kanıtlama süreçlerinde farklı düzeylerde de olsa ilerleme olduğu ve kanıtla ilgili bazı güçlüklerini giderebildikleri görülmüştür. Öğretmen adaylarının, çalışma süresince gösterdikleri gelişme göz önünde bulundurularak lisans düzeyindeki matematik derslerinin işlenişine yönelik önerilerde bulunulmuştur.

Research paper thumbnail of Undergraduate Students' Mathematical Proof Processes in a Calculus Course: A Case Study

Ankara University, Journal of …, Jan 1, 2007

This qualitative case study is designed to determine students' views on and processes of construc... more This qualitative case study is designed to determine students' views on and processes of constructing proofs. The participants were two females and one male freshman students in a mathematics teacher training program. The participants were selected representing their proficiency level in Intro to Analysis II as low, medium and high achievers. Data were gathered through classroom observations, structured interviews and papers where students reflected their proof processes. The data were analyzed through content analysis by using a qualitative analysis software program, Nvivo 7. The findings describe students' proof schemes and approaches, as well as display the patterns in showing the relationship between proof schemes and approaches. 0 312 297 6104  Doç. Dr. Hacettepe Üniversitesi Eğitim Fakültesi Bilgisayar ve Öğretim Teknolojileri Eğitimi Bölümü altunar@hacettepe.edu.tr 0 312 297 6217  Prof. Dr. Hacettepe Üniversitesi Eğitim Fakültesi Bilgisayar ve Öğretim Teknolojileri Eğitimi Bölümü paskar@hacettepe.edu.tr 0 312 297 7176

Research paper thumbnail of UNDERGRADUATE STUDENTS'DIFFICULTIES WITH MATHEMATICAL PROOF AND PROOF TEACHING

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