scholarly journals Making the Pedagogical Elements Used by Prospective Mathematics Teachers Visible in Teaching: Scenario Writing Activities

2021 ◽  
Vol 11 (3) ◽  
pp. 81-104
Author(s):  
Cahit Aytekin

Abstract Introduction: In the reflective writing process, teachers make identification, information, explanation and evaluation activities (Spanneberg, 2009). It is thought that the scenarios written by the teacher candidates in order to teach a certain subject can give them an opportunity to think deeply. However, these teaching scenarios can be a valuable tool for reflective thinking in terms of educational matters such as teaching methods, pedagogy, and beliefs. Methods: In this study, it was investigated whether script writing is an effective tool to make pedagogical elements visible in the prospects of mathematics teachers. Case study pattern, which is one of the qualitative research patterns, was used in the research. For this purpose, thirty prospective mathematics teachers who participated in the study were asked to write two scenarios. The first one is called as “car travel” and the other one is called as “triangles and similarity” scenario. Before the study, some basic frameworks were defined for both scenarios. These are explained to prospective teachers. The “car travel” scenario in this research was given within the scope of the theme which includes only two people and a limited environmental interaction. The second scenario is the triangles and the similarity scenario. In the second scenario, the role of a teacher who conducts applied and real-life education outside of school is defined. Results: In general, it is concluded that script writing activities are very useful in training teachers. The data obtained from both scenarios reveal that the pedagogical elements constructed during the scenario writing activities become concrete in the minds of the prospective teachers. Discussion: It is observed that prospective teachers often include the structure of teaching related to real life in their scenarios. It is stated that teaching in the context of real life increases academic success and students’ interest in the lesson, and thus, the content is learned perceptibly by the students (Acar & Yaman, 2011). Another cognitive element that prospective teachers include in their scenarios is the use of available materials. It is noteworthy that the prospective teachers used real-life tools and materials as materials in the place chosen for the scenarios of their scripts. Limitations: This research is limited to script texts written by thirty prospective teachers. Conclusions: Thanks to this visibility, feedback can be given on the pedagogical elements that the prospective teacher will use in the future.

2021 ◽  
Vol 11 (1) ◽  
pp. 259-298
Author(s):  
Kemal Özgen

The aim of the first stage of the research was to examine the opinions of prospective mathematics teachers about what features a question prepared to develop and measure ML should have to be effective and qualified. Moreover, it was aimed to determine the degree to which prospective teachers apply these qualifications in questions they design to develop and measure ML. The aim of the second stage of the research was to develop a valid and reliable checklist that can be used in the design of the question to develop and measure ML and to show this tool with an application. The research was conducted as a case study model. The study group consisted of 20 prospective mathematics teachers and five mathematics teachers who took ML courses. Interview forms were applied in order to collect data from the teachers and teacher candidates who took the ML course. Content analysis was used in the analysis of the prospective mathematics teachers' opinions about the qualifications of ML question. In the analysis of the data obtained, content, context, process, level and structure categories were formed for effective and qualified ML question. The checklist was decided to be in five categories and a total of 28 items and three options depending on them. It can be said that the checklist for the ML question design, which was developed and piloted in this study, is a valid and reliable measurement tool. Mathematics teachers and related researchers can use the developed checklist as a guide and guiding tool in designing ML questions.


2020 ◽  
Vol 9 (3) ◽  
pp. 243
Author(s):  
MEHMET FATIH ÖÇAL ◽  
TUĞRUL KAR ◽  
GÜRSEL GÜLER ◽  
ALI SABRI İPEK

This study aims to investigate the similarities and differences between prospective mathematics teachers’ creative thinking skills in paper-pencil test and on a Geogebra-supported environment in terms of problem-posing. This case study used purposive sampling method for determining the participants. Findings revealed that the activities carried out in the GeoGebra-supported environment were insufficient to produce creative problems, and GeoGebra’s main utility to prospective teachers was in identifying their mistakes related to mathematical concepts and discrepancies among numerical values of the problems posed. The reasons for the low achievement in posing problem were discussed: These were; (i) lack of problem-posing experience, (ii) the structure of problem-posing activity, and (iii) prospective teachers’ mathematical content knowledge.


2019 ◽  
Vol 9 (4) ◽  
pp. 92
Author(s):  
Gülçin Oflaz ◽  
Kübra Polat ◽  
Duygu Altaylı Özgül ◽  
Mario Alcaide ◽  
José Carrillo

It is of critical importance, in particular, for mathematics teachers who will teach future generations to understand and do mathematical proofs. It is important to determine future teachers' beliefs about and difficulties with proofs because their knowledge of this issue affects their teaching. This study aims to determine and compare the proof schemes of prospective mathematics teachers from two state universities, one in Turkey and the other in Spain. The case study was conducted within this study. The participants were 51 prospective teachers at their second year from the department of teaching mathematics education at Huelva University in Spain and 45 prospective teachers from the department of teaching mathematics education at Cumhuriyet University in Turkey. The Proof Test consisted of four questions about proofs for parallelograms. Semi-structured interviews were subsequently conducted to investigate the prospective teachers’ responses in-depth. The findings suggest that prospective teachers from Turkey and Spain indicated affinity in proving. The majority of the prospective mathematics teachers were either unable to complete the proof or completed the proof in an inaccurate way.


2021 ◽  
Vol 8 (4) ◽  
pp. 361-384
Author(s):  
Demet Deniz Yilmaz ◽  
Betül Küçük Demir

This study aims to investigate and compare mathematics teachers’ knowledge of pedagogical content, knowledge of students’ understanding and knowledge of instructional strategies, subcomponents of pedagogical content knowledge, student errors in the relationship between perimeter and areas in rectangles, squares, and parallelograms. 10 pre-secondary school in-service mathematics teachers and 10 prospective mathematics teachers participated in the study. The qualitative case research approach was used. To collect the data, an interview form consisting of four questions showing student errors related to perimeter and area was prepared. The participants were asked to comment on the questions given in the form, and their answers were recorded. Later, they were asked to write down their answers to these questions. According to the outcomes, there is a lack of knowledge of students’ understanding and knowledge of instructional strategies, which are the subcomponents of the pedagogical content knowledge of prospective mathematics teachers. Moreover, prospective teachers are found to be incompetent as regards the necessary mathematical subject matter knowledge. To prevent difficulties, when the concepts of perimeter and area are taught, instead of giving formulae initially, concrete materials or real-life examples about these concepts should be provided. Keywords: pedagogical content knowledge, perimeter, area, mathematics teachers, prospective mathematics teachers.


2017 ◽  
Vol 5 (11) ◽  
pp. 129 ◽  
Author(s):  
İlhan Özgül ◽  
Lütfi İncikabı

In this study, the representations preferred by prospective teachers in the teaching of note values were determined and the accuracy of these representations was analyzed in the context of mathematics and music. The case study, one of the qualitative research designs, was used in the study. Study group of the research consisted of 113 pre-school teachers. According to the findings of the research, prospective teachers preferred verbal (92%), note and (80%) real life representations in defining the note values in general terms. On the other hand, geometrical and algebraic representations were preferred at lower rates. The mathematical expressions of the vast majority were found to be correct when the accuracy of representations chosen by the teacher candidates were analyzed. Problems experienced in relation to mathematical expressions in teaching note values include disproportionate fragmentation, modeling error, and algebraic error. On the other hand, representations used in the teaching of note values have generally been unsuccessful in musical expressions; the problems faced in articulation were determined as not (being able to) showing note values, incorrectly showing quarter note values and incorrectly defining note values. The accuracy rates of mathematical expressions are higher than those of musical expressions, regardless of the representation used (note, real life, geometric, verbal, algebraic). In addition, research findings show that prospective teachers who use four types of representation in the teaching of note values are more successful in mathematical and musical context than those who use two and three representations.


2021 ◽  
Vol 4 (3) ◽  
pp. 260-273
Author(s):  
Herani Tri Lestiana

Many studies showed that teachers and prospective teachers have difficulty solving percentage problems. This research is a qualitative descriptive study that aims to investigate the prospective teachers’ strategies in solving problems on the topic of percentages. A total of 250 students majoring in Mathematics Education and Primary Education at IAIN Syekh Nurjati and IAIN Pekalongan were purposively selected to participate in this study. The results showed that only less than half of the participants (40.1%) could give the correct answer. Qualitative data on the strategies used by prospective teachers on the percent question show that (1) teacher candidates ignore the importance of the % symbol and consider the % symbol only as a unit of measurement, (2) teacher candidates ignore the essential role of the reference quantity in the percent question, (3 ) teacher candidates are not used to solving percent problems related to determining initial values before discounts and assume that any percent problem can be solved using multiplication or division.


2020 ◽  
Vol 10 (3) ◽  
pp. 1-33
Author(s):  
Rabia Sarıca ◽  
Bayram Çetin

AbstractIntroduction: Inquiry-based teaching is a constructivist-based method that has become popular in recent years. In this method, students work in a systematic way like a scientist during the research process, actively participate in the learning process, solve problems and learn in practice. The aim of this study is to reveal the opinions of prospective teachers about inquiry based teaching practices.Methods: The study was designed in a qualitative research design. The participants of the study are primary mathematics teacher candidates. Data were collected through semi-structured interviews conducted face-to-face with the students. The data were analyzed using content analysis. The findings obtained from the analysis of the prospective teachers’ views were presented with the relevant themes and codes under the titles.Results: Some of the findings of the prospective teachers’ opinions about the process in which inquiry-based teaching method is applied are as follows. It provides permanent learning, is suitable for real life, develops skills such as research, problem solving, leadership, motivates and gives experience to the profession, is learned actively by doing and experiencing in the process, unexpected difficulties are encountered, the traditional method is easier, not suitable for every course, the lecturer should give more feedback and guidance, communication and coordination in group work is required.Discussion: Prospective teachers stated many positive opinions about the process in which the course content was taught using inquiry-based method. It can be said that the application process positively influences the practical knowledge and skills of teacher candidates. However, it is seen that some prospective teachers find the process tiring and time consuming. It is understood that teacher candidates have intense concerns about Public Personnel Selection Examination (KPSS) and this affects the process. KPSS is a test in Turkey for prospective teachers where they should get enough points to be appointed as teachers after graduation. Although the participants of this study are 3rd grade prospective teachers and they take the KPSS exam after graduation; it is understood that KPSS affects them and their motivation.Limitations: This research is limited to the measurement and evaluation course and to the 3rd grade mathematics teacher candidates who are the participants of this study.Conclusions: Prospective teachers mostly have positive opinions about the inquiry-based teaching process. It can be said that it would be beneficial to use this method in teacher education.


Author(s):  
Yuan Lo

The character and status are presented together. Others have to play the role. The real situation is to be presented in a simple way. It can be understood how to adapt yourself to the real field. The role of the actress is to be revealed. Students get real-life education in the artificial environment. Performances of speech and expression are improved.


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2018 ◽  
Vol 7 (2) ◽  

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