The focus of the study is system of linear equations which is one of the important topics of line... more The focus of the study is system of linear equations which is one of the important topics of linear algebra. The aim is to investigate how university students' skills in the process of solving systems of linear equations by focusing on how they perform operations with matrices. This study is a case study based on a non-positivist paradigm with interpretivist approach. Findings indicate that candidates face differing levels difficulties in conceptualizing and doing operations in their solutions.
This study investigates primary school preservice teachers' abilities in relation to... more This study investigates primary school preservice teachers' abilities in relation to figures, one of the basic concepts of geometry, and more specifically, to name figures; to draw solid figures from their given corresponding nets and the nets from the solids; and to sketch a ...
Abstract This paper reports upon particular aspects of a study carried out by Delice in 2003, the... more Abstract This paper reports upon particular aspects of a study carried out by Delice in 2003, the main aim of which was to compare the performance of students in the 16^19 age group from Turkey and England on trigonometry of 'A-level standard' and then to compare the ...
This study aims to investigate the influence of spatial visualization ability in representations ... more This study aims to investigate the influence of spatial visualization ability in representations used in definite integral subject. In this sense, a case study has been carried out on 45 mathematics teacher candidates. Multi-method approach was adopted by using more than one research techniques. Tests, Document analysis and semi-structured interviews are the research instruments and inferential & descriptive statistics are used for the data analysis. Findings showed that spatial visualization ability of the teacher candidates is low. In parallel to these findings, it was determined that the candidates, who have low spatial visualization ability, used predominantly algebraic representation. The development of spatial visualization ability, which may influence the relationship between graphical representations and the other representations, increases the performance of solving definite integral problems. Moreover, the candidates are advised to develop their spatial visualization abilities to improve their abilities of interpretation of visual information.
This study aims to identify pre-service teachers' spatial abilities and to explore t... more This study aims to identify pre-service teachers' spatial abilities and to explore the effects of these abilities on performance in mathematical modelling tasks. Following a case study research approach, mixed methods were used for data collection. Participants were 75 ...
International Journal of Mathematical Education in Science and Technology, 2014
ABSTRACT The aim of the present study is to determine the influence of concept definitions of cyl... more ABSTRACT The aim of the present study is to determine the influence of concept definitions of cylinder and cone on primary mathematics student teachers’ construction of relevant concept images. The study had a relational survey design and the participants were 238 primary mathematics student teachers. Statistical analyses implied the following: mathematics student teachers did not have sufficient level of knowledge about the concepts of cylinder and cone; concept definitions were insufficient in constructing concept images; providing student teachers with formal definitions of the concepts increased performance in choosing the right models of cylinder and cone from a given set of models but decreased performance in constructing a new cylinder; formal definitions did not affect the selection of models which were not cylinder and cone and the construction of a new cone model.
Ülkemizde bilgibilimsel inançlar ve kaygı arasındaki ilişkiyi araştıran hiçbir çalışmaya rastlanm... more Ülkemizde bilgibilimsel inançlar ve kaygı arasındaki ilişkiyi araştıran hiçbir çalışmaya rastlanmamıştır. İki değişken arasındaki ilişkiyi araştırmak öğretmen adaylarının matematikte ve diğer disiplinlerdeki performansları üzerine etkisi açısından önemlidir. Araştırmanın ...
Algebra and calculus students have difficulties to express themselves in a statement of mathemati... more Algebra and calculus students have difficulties to express themselves in a statement of mathematical symbols and to comment on written mathematical statements to end with equivalent mathematical symbols statement. In this study, the reasons behind the meaning students load to the ...
There is an increased interest in finding connections with mathematics and areas outside mathemat... more There is an increased interest in finding connections with mathematics and areas outside mathematics such as hard and soft sciences. This increased interest reflected in many of curriculum reforms that took place during the past few decades including the one in Turkish elementary and secondary mathematics education. Hence we believe that Turkish mathematics teachers should have the skills necessary for coping with the changing requirements of the 'new high school' mathematics'. Since research skills is an important requirement, the aim of the paper was chosen to be to investigate 32 mathematics student teachers' reactions during a series of physics experiment, which involves identification of the variables, measurement process and data analysis. In this case study, multi method approach is used in the study to get rich data for answering research questions. The main data collection tools are physics experiment lab reports. A categorization procedure was used to transform the mainly qualitative data into a statistically analyzable form. Findings indicate that student teachers' overall performances on the experiments were not satisfactory. Transforming formal mathematical knowledge into a physics experiment context was problematic. Main conclusion of the study is that teacher training curriculum currently used should be designed to equip the teachers the skills they need to cope with the changing requirements.
Oxford Universtiy Press, Teaching Mathematics and its Applications , Apr 14, 2014
Problem-solving behaviours of students have been comprehensively considered in much research. Stu... more Problem-solving behaviours of students have been comprehensively considered in much research. Students’ differences in their thinking processes influence their mathematical processing. In this study, we focused on whether mathematical thinking types affect what representations they use for integrals. The participants of the study were 37 undergraduate students who were enrolled for a calculus course and were selected through a purposeful sampling technique in case study design. Data collection techniques were test, observation and interview. Tests were used to identify learners' preferred representations according to their type of thinking. Participants’ views on preferences for representations are evaluated by interviews. The data gained in the study were analysed and interpreted through a classification method and descriptive statistics. Results show that, although participants’ mathematical thinking types have some effect on their representation preferences, the participants generally preferred algebraic representation. It seems that participants’ problem-solving behaviours are more affected by teaching environment than by preferred thinking types. Other findings from the study are discussed based on the literature.
Using different representations and having flexibility of transition between representations thro... more Using different representations and having flexibility of transition between representations throughout the definite integral problem-solving process are thought to be effective on the development of conceptual understanding and students' performance. The study aims at considering the effects of representations used in the definite integral on preservices teachers' problem-solving achievement. The research is a case study having qualitative paradigm. Within the context, a case study with 45 pre-services teachers from a mathematics teaching department in a state university has been conducted. This study uses multi-method approach to collect the data which are qualitative. The data were analyzed and interpreted through classification method and descriptive statistical techniques. The findings indicate that the skills of pre-services teachers in using multiple representations within the process of solving certain definite integral problems were not sufficient as required. It was specified that the candidates trying to solve problems with the domination of merely one representation were weak in terms of the transition of representation skills and they were in low level in terms problem-solving. After discussing the findings of the study in the light of the literature some suggestions are given for increasing the problem-solving success
International Journal of Science and Mathematics Education, 2014
ABSTRACT This article reports the results of a study that investigated pre-service mathematics te... more ABSTRACT This article reports the results of a study that investigated pre-service mathematics teachers’modelling processes in terms of representational fluency in a modelling activity related to a cassette player. A qualitative approach was used in the data collection process. Students’ individual and group written responses to the mathematical modelling activity, video-taped and transcribed group discussions, and classroom observations, were the main sources of data. This study was conducted during the spring semester in 2010. Fifty-five pre-service teachers were the participants in the study. Systematic coding and descriptive statistics were used in analysing the data. The data showed that a difficulty with modelling was closely related to the difficulty in the transformation of semiotic representations. During the modelling process, the two types of transformations, which were the treatments within a register and conversions between registers, occurred concurrently. In addition, the challenging and motivating nature of the modelling process in terms of directing participants to form consistent transformations between and within different representation registers was observed.
Bu çalışmada, integral konusunun yüksek öğretim matematiğindeki konu sırası ele alınmış; programd... more Bu çalışmada, integral konusunun yüksek öğretim matematiğindeki konu sırası ele alınmış; programda belirsiz-belirli integral sıralaması ile öğretilmesi önerilen integral konusunun sıralamasında yapılacak değişikliğin, öğrenci kavram tanım ve imgelerine yapacağı etkininin incelenmesi hedeflenmiştir. Araştırma 2008-2010 yılları arasında bir devlet üniversitesinin kimya öğretmenliği programına kayıtlı 1. sınıf öğrencileri ile yürütülmüştür. Çoklu yöntemin kullanıldığı araştırmada yarı deneysel araştırma deseni var olan iki durumun betimlenmesi için kullanılmıştır. Kontrol grubu öğrencileri (n=40), Analiz II dersi kapsamında aldıkları integral konusunu geleneksel programa uygun olarak belirsiz-belirli integral sırası ile işlerken; deney grubu öğrencilerinde (n=40) aynı konu belirli-belirsiz integral sırası ile ele alınmıştır. Çalışma sonuçları, deney grubu öğrencilerinde "alan", kontrol grubu öğrencilerinde "türevin tersi" imgelerinin baskın olduğunu göstermiştir. Ayrıca, genelleştirilmiş integral problemlerinde, belirli integral imgesi "türevin tersi" olan öğrencilerin yanlış kavramlar üzerinden yanlış sonuçlara ulaştıkları "alan" imgesine sahip öğrencilerin, bu problem tipi için doğru çözümleri daha kolay gerçekleştirdikleri belirlenmiştir. Çalışma, integral konusuna belirsiz integral kavramı ile yapılacak girişin, belirli integral konusundaki imgeleri sınırlayabileceğine dikkat çekmektedir.
This study aims to establish the analytic, geometric and harmonic thinking structures of Mathemat... more This study aims to establish the analytic, geometric and harmonic thinking structures of Mathematics teacher trainees, and to see how these structures determine their mathematical modelling skills. The research has been carried out as a special case study and uses multi-method approach. The study group consists of 75 teacher trainees who attend a post graduate programme at a state university. The programme does not require the submission of a dissertation. Mathematical Process Instrument has been used to assess the thinking structures of the Mathematics teacher trainees, and to determine their modelling skills Mathematical Modelling Tests have been carried out. It has been found that %12 of the Mathematics teacher trainees have geometric, %31 analytic and the remaining %57 have harmonic thinking structures.
Öğrenme, yaşantıların ürünüdür ve öğrenme
sonucunda bireyde bilişsel değişimler ortaya
çıkmaktadı... more Öğrenme, yaşantıların ürünüdür ve öğrenme sonucunda bireyde bilişsel değişimler ortaya çıkmaktadır. Bilişsel öğrenme olarak adlandırılan budeğişimler, öğrenme kuramları çerçevesinde değerlendirilmektedir. Bilişsel öğrenme kuramlarından biri Bilgi-İşlemYaklaşımı’dır. Bir bilişsel öğrenme çeşidi olan dil öğretiminde bilgiişlem yaklaşımını temel almak mümkündür. Evrensel bir dil olan matematiğin öğretiminde günlük konuşma dili ile anlamsal bağlar kurmak matematikte yer alan kavram, tanım, sembol ve simgelerin günlük hayatla bağlantısını kurmakla bir olmayabilir. Matematik anlamı ile günlük hayat anlamı farklılık gösteren kelimeler vardır. Bu farklılıkların matematik öğretim-öğrenim sürecindeki yansımalarını ortaya koymak amacıyla yapılan çalışmada 60 lise öğrencisine görüşme formu uygulanmış ve öğrencilerin kavram imgeleri ortaya çıkarılmaya çalışılmıştır. Ayrıca yarı yapılandırılmış görüşmeler yapılarak öğrencilerin anlamsal farklılıkların öğrenmeye etkisi hakkındaki görüşleri incelenmiştir. Bu haliyle çalışma nitel paradigmaya sahip durum çalışmasıdır. Yapılan görüşmeler örneklerle bağlantısına göre incelenerek nedenlerine göre analiz edilip gruplandırılmıştır. Öğrencilerin matematiği bir dil olarak göremeyip çok soyut ve günlük hayattan uzak buldukları, ancak yaygın algının aksine zorlanmalarına rağmen bir ders olarak sevdikleri sonucuna ulaşılmıştır.
The focus of the study is system of linear equations which is one of the important topics of line... more The focus of the study is system of linear equations which is one of the important topics of linear algebra. The aim is to investigate how university students' skills in the process of solving systems of linear equations by focusing on how they perform operations with matrices. This study is a case study based on a non-positivist paradigm with interpretivist approach. Findings indicate that candidates face differing levels difficulties in conceptualizing and doing operations in their solutions.
This study investigates primary school preservice teachers' abilities in relation to... more This study investigates primary school preservice teachers' abilities in relation to figures, one of the basic concepts of geometry, and more specifically, to name figures; to draw solid figures from their given corresponding nets and the nets from the solids; and to sketch a ...
Abstract This paper reports upon particular aspects of a study carried out by Delice in 2003, the... more Abstract This paper reports upon particular aspects of a study carried out by Delice in 2003, the main aim of which was to compare the performance of students in the 16^19 age group from Turkey and England on trigonometry of 'A-level standard' and then to compare the ...
This study aims to investigate the influence of spatial visualization ability in representations ... more This study aims to investigate the influence of spatial visualization ability in representations used in definite integral subject. In this sense, a case study has been carried out on 45 mathematics teacher candidates. Multi-method approach was adopted by using more than one research techniques. Tests, Document analysis and semi-structured interviews are the research instruments and inferential & descriptive statistics are used for the data analysis. Findings showed that spatial visualization ability of the teacher candidates is low. In parallel to these findings, it was determined that the candidates, who have low spatial visualization ability, used predominantly algebraic representation. The development of spatial visualization ability, which may influence the relationship between graphical representations and the other representations, increases the performance of solving definite integral problems. Moreover, the candidates are advised to develop their spatial visualization abilities to improve their abilities of interpretation of visual information.
This study aims to identify pre-service teachers' spatial abilities and to explore t... more This study aims to identify pre-service teachers' spatial abilities and to explore the effects of these abilities on performance in mathematical modelling tasks. Following a case study research approach, mixed methods were used for data collection. Participants were 75 ...
International Journal of Mathematical Education in Science and Technology, 2014
ABSTRACT The aim of the present study is to determine the influence of concept definitions of cyl... more ABSTRACT The aim of the present study is to determine the influence of concept definitions of cylinder and cone on primary mathematics student teachers’ construction of relevant concept images. The study had a relational survey design and the participants were 238 primary mathematics student teachers. Statistical analyses implied the following: mathematics student teachers did not have sufficient level of knowledge about the concepts of cylinder and cone; concept definitions were insufficient in constructing concept images; providing student teachers with formal definitions of the concepts increased performance in choosing the right models of cylinder and cone from a given set of models but decreased performance in constructing a new cylinder; formal definitions did not affect the selection of models which were not cylinder and cone and the construction of a new cone model.
Ülkemizde bilgibilimsel inançlar ve kaygı arasındaki ilişkiyi araştıran hiçbir çalışmaya rastlanm... more Ülkemizde bilgibilimsel inançlar ve kaygı arasındaki ilişkiyi araştıran hiçbir çalışmaya rastlanmamıştır. İki değişken arasındaki ilişkiyi araştırmak öğretmen adaylarının matematikte ve diğer disiplinlerdeki performansları üzerine etkisi açısından önemlidir. Araştırmanın ...
Algebra and calculus students have difficulties to express themselves in a statement of mathemati... more Algebra and calculus students have difficulties to express themselves in a statement of mathematical symbols and to comment on written mathematical statements to end with equivalent mathematical symbols statement. In this study, the reasons behind the meaning students load to the ...
There is an increased interest in finding connections with mathematics and areas outside mathemat... more There is an increased interest in finding connections with mathematics and areas outside mathematics such as hard and soft sciences. This increased interest reflected in many of curriculum reforms that took place during the past few decades including the one in Turkish elementary and secondary mathematics education. Hence we believe that Turkish mathematics teachers should have the skills necessary for coping with the changing requirements of the 'new high school' mathematics'. Since research skills is an important requirement, the aim of the paper was chosen to be to investigate 32 mathematics student teachers' reactions during a series of physics experiment, which involves identification of the variables, measurement process and data analysis. In this case study, multi method approach is used in the study to get rich data for answering research questions. The main data collection tools are physics experiment lab reports. A categorization procedure was used to transform the mainly qualitative data into a statistically analyzable form. Findings indicate that student teachers' overall performances on the experiments were not satisfactory. Transforming formal mathematical knowledge into a physics experiment context was problematic. Main conclusion of the study is that teacher training curriculum currently used should be designed to equip the teachers the skills they need to cope with the changing requirements.
Oxford Universtiy Press, Teaching Mathematics and its Applications , Apr 14, 2014
Problem-solving behaviours of students have been comprehensively considered in much research. Stu... more Problem-solving behaviours of students have been comprehensively considered in much research. Students’ differences in their thinking processes influence their mathematical processing. In this study, we focused on whether mathematical thinking types affect what representations they use for integrals. The participants of the study were 37 undergraduate students who were enrolled for a calculus course and were selected through a purposeful sampling technique in case study design. Data collection techniques were test, observation and interview. Tests were used to identify learners' preferred representations according to their type of thinking. Participants’ views on preferences for representations are evaluated by interviews. The data gained in the study were analysed and interpreted through a classification method and descriptive statistics. Results show that, although participants’ mathematical thinking types have some effect on their representation preferences, the participants generally preferred algebraic representation. It seems that participants’ problem-solving behaviours are more affected by teaching environment than by preferred thinking types. Other findings from the study are discussed based on the literature.
Using different representations and having flexibility of transition between representations thro... more Using different representations and having flexibility of transition between representations throughout the definite integral problem-solving process are thought to be effective on the development of conceptual understanding and students' performance. The study aims at considering the effects of representations used in the definite integral on preservices teachers' problem-solving achievement. The research is a case study having qualitative paradigm. Within the context, a case study with 45 pre-services teachers from a mathematics teaching department in a state university has been conducted. This study uses multi-method approach to collect the data which are qualitative. The data were analyzed and interpreted through classification method and descriptive statistical techniques. The findings indicate that the skills of pre-services teachers in using multiple representations within the process of solving certain definite integral problems were not sufficient as required. It was specified that the candidates trying to solve problems with the domination of merely one representation were weak in terms of the transition of representation skills and they were in low level in terms problem-solving. After discussing the findings of the study in the light of the literature some suggestions are given for increasing the problem-solving success
International Journal of Science and Mathematics Education, 2014
ABSTRACT This article reports the results of a study that investigated pre-service mathematics te... more ABSTRACT This article reports the results of a study that investigated pre-service mathematics teachers’modelling processes in terms of representational fluency in a modelling activity related to a cassette player. A qualitative approach was used in the data collection process. Students’ individual and group written responses to the mathematical modelling activity, video-taped and transcribed group discussions, and classroom observations, were the main sources of data. This study was conducted during the spring semester in 2010. Fifty-five pre-service teachers were the participants in the study. Systematic coding and descriptive statistics were used in analysing the data. The data showed that a difficulty with modelling was closely related to the difficulty in the transformation of semiotic representations. During the modelling process, the two types of transformations, which were the treatments within a register and conversions between registers, occurred concurrently. In addition, the challenging and motivating nature of the modelling process in terms of directing participants to form consistent transformations between and within different representation registers was observed.
Bu çalışmada, integral konusunun yüksek öğretim matematiğindeki konu sırası ele alınmış; programd... more Bu çalışmada, integral konusunun yüksek öğretim matematiğindeki konu sırası ele alınmış; programda belirsiz-belirli integral sıralaması ile öğretilmesi önerilen integral konusunun sıralamasında yapılacak değişikliğin, öğrenci kavram tanım ve imgelerine yapacağı etkininin incelenmesi hedeflenmiştir. Araştırma 2008-2010 yılları arasında bir devlet üniversitesinin kimya öğretmenliği programına kayıtlı 1. sınıf öğrencileri ile yürütülmüştür. Çoklu yöntemin kullanıldığı araştırmada yarı deneysel araştırma deseni var olan iki durumun betimlenmesi için kullanılmıştır. Kontrol grubu öğrencileri (n=40), Analiz II dersi kapsamında aldıkları integral konusunu geleneksel programa uygun olarak belirsiz-belirli integral sırası ile işlerken; deney grubu öğrencilerinde (n=40) aynı konu belirli-belirsiz integral sırası ile ele alınmıştır. Çalışma sonuçları, deney grubu öğrencilerinde "alan", kontrol grubu öğrencilerinde "türevin tersi" imgelerinin baskın olduğunu göstermiştir. Ayrıca, genelleştirilmiş integral problemlerinde, belirli integral imgesi "türevin tersi" olan öğrencilerin yanlış kavramlar üzerinden yanlış sonuçlara ulaştıkları "alan" imgesine sahip öğrencilerin, bu problem tipi için doğru çözümleri daha kolay gerçekleştirdikleri belirlenmiştir. Çalışma, integral konusuna belirsiz integral kavramı ile yapılacak girişin, belirli integral konusundaki imgeleri sınırlayabileceğine dikkat çekmektedir.
This study aims to establish the analytic, geometric and harmonic thinking structures of Mathemat... more This study aims to establish the analytic, geometric and harmonic thinking structures of Mathematics teacher trainees, and to see how these structures determine their mathematical modelling skills. The research has been carried out as a special case study and uses multi-method approach. The study group consists of 75 teacher trainees who attend a post graduate programme at a state university. The programme does not require the submission of a dissertation. Mathematical Process Instrument has been used to assess the thinking structures of the Mathematics teacher trainees, and to determine their modelling skills Mathematical Modelling Tests have been carried out. It has been found that %12 of the Mathematics teacher trainees have geometric, %31 analytic and the remaining %57 have harmonic thinking structures.
Öğrenme, yaşantıların ürünüdür ve öğrenme
sonucunda bireyde bilişsel değişimler ortaya
çıkmaktadı... more Öğrenme, yaşantıların ürünüdür ve öğrenme sonucunda bireyde bilişsel değişimler ortaya çıkmaktadır. Bilişsel öğrenme olarak adlandırılan budeğişimler, öğrenme kuramları çerçevesinde değerlendirilmektedir. Bilişsel öğrenme kuramlarından biri Bilgi-İşlemYaklaşımı’dır. Bir bilişsel öğrenme çeşidi olan dil öğretiminde bilgiişlem yaklaşımını temel almak mümkündür. Evrensel bir dil olan matematiğin öğretiminde günlük konuşma dili ile anlamsal bağlar kurmak matematikte yer alan kavram, tanım, sembol ve simgelerin günlük hayatla bağlantısını kurmakla bir olmayabilir. Matematik anlamı ile günlük hayat anlamı farklılık gösteren kelimeler vardır. Bu farklılıkların matematik öğretim-öğrenim sürecindeki yansımalarını ortaya koymak amacıyla yapılan çalışmada 60 lise öğrencisine görüşme formu uygulanmış ve öğrencilerin kavram imgeleri ortaya çıkarılmaya çalışılmıştır. Ayrıca yarı yapılandırılmış görüşmeler yapılarak öğrencilerin anlamsal farklılıkların öğrenmeye etkisi hakkındaki görüşleri incelenmiştir. Bu haliyle çalışma nitel paradigmaya sahip durum çalışmasıdır. Yapılan görüşmeler örneklerle bağlantısına göre incelenerek nedenlerine göre analiz edilip gruplandırılmıştır. Öğrencilerin matematiği bir dil olarak göremeyip çok soyut ve günlük hayattan uzak buldukları, ancak yaygın algının aksine zorlanmalarına rağmen bir ders olarak sevdikleri sonucuna ulaşılmıştır.
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Papers by Ali Delice
sonucunda bireyde bilişsel değişimler ortaya
çıkmaktadır. Bilişsel öğrenme olarak adlandırılan
budeğişimler, öğrenme kuramları çerçevesinde
değerlendirilmektedir. Bilişsel öğrenme
kuramlarından biri Bilgi-İşlemYaklaşımı’dır. Bir
bilişsel öğrenme çeşidi olan dil öğretiminde bilgiişlem
yaklaşımını temel almak mümkündür.
Evrensel bir dil olan matematiğin öğretiminde
günlük konuşma dili ile anlamsal bağlar kurmak
matematikte yer alan kavram, tanım, sembol ve
simgelerin günlük hayatla bağlantısını kurmakla
bir olmayabilir. Matematik anlamı ile günlük
hayat anlamı farklılık gösteren kelimeler vardır.
Bu farklılıkların matematik öğretim-öğrenim
sürecindeki yansımalarını ortaya koymak
amacıyla yapılan çalışmada 60 lise öğrencisine
görüşme formu uygulanmış ve öğrencilerin
kavram imgeleri ortaya çıkarılmaya çalışılmıştır.
Ayrıca yarı yapılandırılmış görüşmeler yapılarak
öğrencilerin anlamsal farklılıkların öğrenmeye
etkisi hakkındaki görüşleri incelenmiştir. Bu
haliyle çalışma nitel paradigmaya sahip durum
çalışmasıdır. Yapılan görüşmeler örneklerle
bağlantısına göre incelenerek nedenlerine göre
analiz edilip gruplandırılmıştır. Öğrencilerin
matematiği bir dil olarak göremeyip çok soyut ve
günlük hayattan uzak buldukları, ancak yaygın
algının aksine zorlanmalarına rağmen bir ders olarak sevdikleri sonucuna ulaşılmıştır.
sonucunda bireyde bilişsel değişimler ortaya
çıkmaktadır. Bilişsel öğrenme olarak adlandırılan
budeğişimler, öğrenme kuramları çerçevesinde
değerlendirilmektedir. Bilişsel öğrenme
kuramlarından biri Bilgi-İşlemYaklaşımı’dır. Bir
bilişsel öğrenme çeşidi olan dil öğretiminde bilgiişlem
yaklaşımını temel almak mümkündür.
Evrensel bir dil olan matematiğin öğretiminde
günlük konuşma dili ile anlamsal bağlar kurmak
matematikte yer alan kavram, tanım, sembol ve
simgelerin günlük hayatla bağlantısını kurmakla
bir olmayabilir. Matematik anlamı ile günlük
hayat anlamı farklılık gösteren kelimeler vardır.
Bu farklılıkların matematik öğretim-öğrenim
sürecindeki yansımalarını ortaya koymak
amacıyla yapılan çalışmada 60 lise öğrencisine
görüşme formu uygulanmış ve öğrencilerin
kavram imgeleri ortaya çıkarılmaya çalışılmıştır.
Ayrıca yarı yapılandırılmış görüşmeler yapılarak
öğrencilerin anlamsal farklılıkların öğrenmeye
etkisi hakkındaki görüşleri incelenmiştir. Bu
haliyle çalışma nitel paradigmaya sahip durum
çalışmasıdır. Yapılan görüşmeler örneklerle
bağlantısına göre incelenerek nedenlerine göre
analiz edilip gruplandırılmıştır. Öğrencilerin
matematiği bir dil olarak göremeyip çok soyut ve
günlük hayattan uzak buldukları, ancak yaygın
algının aksine zorlanmalarına rağmen bir ders olarak sevdikleri sonucuna ulaşılmıştır.