scholarly journals Examining Problem-Solving and Problem-Posing Skills of Pre-Service Mathematics Teachers: A Qualitative Study

2021 ◽  
Author(s):  
Furkan Özdemir ◽  
Halil Coşkun Çelik
Keyword(s):  
Problem Solving ◽  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Alternative Assessment ◽  
Problem Posing ◽  
Research Approach ◽  
Mathematical Language ◽  
State University ◽  
Assessment Approach ◽  
Study Participants

The aim of this study is to examine the problem-solving processes and problem-posing skills of pre-service mathematics teachers, which consists of four stages (understanding the problem, preparing a plan for the solution, applying the plan, evaluating) defined by Polya (1997) with the progressive scoring scale based on the alternative assessment approach. Qualitative research approach has been adopted in the study. Participants of the study consist of 71 pre-service teachers studying at the department of primary education mathematics teaching at the education faculty of a state university in the Southeastern Anatolia region of Turkey. Since the problem solving and problem posing behaviors of the participants were examined separately in the study, the gradual scoring scale developed by Baki (2008) was used. As a result of the analysis, it was determined that the participants showed the highest performance in the category of understanding the problem, and the lowest performance in the category of evaluation and problem posing. It was determined that participants who failed in the problem posing phase either wrote the same problem or could not write a problem. Another result reached in the study is that the participants had difficulties in expressing the operations in mathematical language.

scholarly journals Examining Problem-Solving and Problem-Posing Skills of Pre-Service Mathematics Teachers: A Qualitative Study

2021 ◽  
Vol 4 (4) ◽  
Author(s):  
Furkan Özdemir ◽  
◽  
Halil Coşkun Çelik
Keyword(s):  
Problem Solving ◽  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Alternative Assessment ◽  
Problem Posing ◽  
Research Approach ◽  
Mathematical Language ◽  
State University ◽  
Assessment Approach ◽  
Study Participants

The aim of this study is to examine the problem-solving processes and problem-posing skills of pre-service mathematics teachers, which consists of four stages (understanding the problem, preparing a plan for the solution, applying the plan, evaluating) defined by Polya (1997) with the progressive scoring scale based on the alternative assessment approach. Qualitative research approach has been adopted in the study. Participants of the study consist of 71 pre-service teachers studying at the department of primary education mathematics teaching at the education faculty of a state university in the Southeastern Anatolia region of Turkey. Since the problem solving and problem posing behaviors of the participants were examined separately in the study, the gradual scoring scale developed by Baki (2008) was used. As a result of the analysis, it was determined that the participants showed the highest performance in the category of understanding the problem, and the lowest performance in the category of evaluation and problem posing. It was determined that participants who failed in the problem posing phase either wrote the same problem or could not write a problem. Another result reached in the study is that the participants had difficulties in expressing the operations in mathematical language.

scholarly journals The process of problem posing: development of a descriptive phase model of problem posing

2021 ◽  
Author(s):  
Lukas Baumanns ◽  
Benjamin Rott
Keyword(s):  
Problem Solving ◽  
Mathematics Teachers ◽  
Secondary Mathematics ◽  
Interrater Agreement ◽  
Phase Model ◽  
Problem Posing ◽  
Situation Analysis ◽  
Secondary Mathematics Teachers ◽  
Generation Problem ◽  
Category Development

AbstractThe aim of this study is to develop a descriptive phase model for problem-posing activities based on structured situations. For this purpose, 36 task-based interviews with pre-service primary and secondary mathematics teachers working in pairs who were given two structured problem-posing situations were conducted. Through an inductive-deductive category development, five types of activities (situation analysis, variation, generation, problem-solving, evaluation) were identified. These activities were coded in so-called episodes, allowing time-covering analyses of the observed processes. Recurring transitions between these episodes were observed, through which a descriptive phase model was derived. In addition, coding of the developed episode types was validated for its interrater agreement.

scholarly journals Analisis Kebutuhan Model Problem Posing Berorientasi STEM

2021 ◽  
Vol 5 (2) ◽  
Author(s):  
Khairudin . ◽  
Ahmad Fauzan ◽  
Armiati . ◽  
Karmila Suryani
Keyword(s):  
Problem Solving ◽  
Qualitative Data ◽  
Model Problem ◽  
Learning Model ◽  
Problem Posing ◽  
State University ◽  
Stem Learning ◽  
Learning Models ◽  
Problem Solving Skills ◽  
Descriptive Survey

This research is a descriptive survey to determine the needs of lecturers and students for STEM-oriented problem posing learning models that can activate students to ask questions so that students can learn independently and can improve their problem solving skills in calculus. This research sample were students who took Calculus and lecturers who taught calculus. The research instrument used an online needs analysis questionnaire with two forms of statements, namely statements containing qualitative data. The research object consisted of 156 students from Padang State University, Bung Hatta University and STKIP PGRI Padang, as well as 2 lecturers teaching from the three colleges. The results of data analysis showed that on the part of lecturers and students is needed this learning model. Based on this results shows that the importance of designing a multidisciplinary oriented problem posing (STEM) learning model to increase problem solving abilities

scholarly journals Exploring the Educational Value of Mathematical Beauty and Effective Ways of Discovering Mathematical Beauty

2021 ◽  
Vol 5 (10) ◽  
pp. 82-87
Author(s):  
Cunrong Wang
Keyword(s):  
Problem Solving ◽  
Mathematics Teaching ◽  
Mathematical Reasoning ◽  
Knowledge Systems ◽  
Mathematical Language ◽  
Mathematical Culture ◽  
Educational Value ◽  
Formalization Of Mathematics ◽  
Mathematical Beauty ◽  
Opening Up

The precision of mathematical reasoning, the abstractness of mathematical language, the profundity of mathematical thought and method, as well as the excessive formalization of mathematics teaching have formed an impassable gap, hindering students in approaching mathematics. This has concealed the beauty of mathematics and the light of mathematical culture. However, if students are able to cross this gap, they would find that mathematics is a vast world full of vitality, imagination, wisdom, poetry, and beauty. The pursuit of mathematical beauty is one of the motivations for scientists to research this field. Experiencing mathematical beauty is of great significance to students’ learning and growth. In teaching, the value of mathematical beauty is explored, such as stimulating emotions, opening up to the truth, and cultivating goodness. Several effective ways are suggested in this article to guide students to discover the mathematical beauty in life while finding it in problem-solving methods and exploring it in knowledge systems.

scholarly journals Creativity as a function of problem-solving expertise: posing new problems through investigations

ZDM ◽  
2021 ◽  
Author(s):  
Haim Elgrably ◽  
Roza Leikin
Keyword(s):  
Problem Solving ◽  
Dynamic Geometry ◽  
Problem Posing ◽  
Dynamic Geometry Environment ◽  
Mathematics Majors ◽  
Individual Interviews ◽  
University Mathematics ◽  
Domain Specific ◽  
Mathematics Test ◽  
Different Types

AbstractThis study was inspired by the following question: how is mathematical creativity connected to different kinds of expertise in mathematics? Basing our work on arguments about the domain-specific nature of expertise and creativity, we looked at how participants from two groups with two different types of expertise performed in problem-posing-through-investigations (PPI) in a dynamic geometry environment (DGE). The first type of expertise—MO—involved being a candidate or a member of the Israeli International Mathematical Olympiad team. The second type—MM—was comprised of mathematics majors who excelled in university mathematics. We conducted individual interviews with eight MO participants who were asked to perform PPI in geometry, without previous experience in performing a task of this kind. Eleven MMs tackled the same PPI task during a mathematics test at the end of a 52-h course that integrated PPI. To characterize connections between creativity and expertise, we analyzed participants’ performance on the PPI tasks according to proof skills (i.e., auxiliary constructions, the complexity of posed tasks, and correctness of their proofs) and creativity components (i.e., fluency, flexibility and originality of the discovered properties). Our findings demonstrate significant differences between PPI by MO participants and by MM participants as reflected in the more creative performance and more successful proving processes demonstrated by MO participants. We argue that problem posing and problem solving are inseparable when MO experts are engaged in PPI.

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