• School Mathematics
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• v.18 no.1
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• pp.193-214
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• 2016

Teachers' questioning plays an important role in mathematics teaching and learning by asking students to react or to participate in mathematical discourse. Previous studies on teachers' questioning have not focused on how to questioning to formulate an effective mathematical discourse which is contributed by students because studies mostly analyzed and categorized teachers' questions according to cognitive levels of questions without consideration of context. Therefore, this study explored characteristics of teachers' questioning to formulate an effective characteristics of teachers' questioning to formulate an effective mathematical discourse in mathematics classrooms. By reviewing and analyzing mathematics discourse and studies on teachers' questioning theoretically, we presented openness, sharedness, and productivity as characteristics of teachers' questioning. Through a middle school mathematics teacher's case, we examined three characteristics were necessary to formulate an effective mathematical discourse. Based on results from theoretical analysis and case analysis, we discussed that openness, sharedness, and productivity would be useful as a framework to analyze teachers' questioning.

• Research in Mathematical Education
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• v.17 no.4
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• pp.267-278
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• 2013

Through quantitative analysis of two math classroom videos, combined with the relationship between types of teachers' questioning and students' answering, it is concluded the following problems are in the mathematics classroom teaching: (1) The time of teachers' questioning is longer, the number is too much, with managerial questions and prompting questions is given priority to; (2) Teachers' questioning time is longer than students' answering time, comprehensive answer is more, creative answer is little; (3) In the classroom questioning, students' participation is low; and (4) There is a significant correlation between types of teachers' questioning and length of waiting time after questions. In response to these phenomena, we propose strategies as follows: pursuit of timeliness of classroom questioning, reducing inefficient questions, to increase efficient questions, adopting different waiting strategies for different questioning types, to mobilize students' thinking activities, and improving students' participation etc.

• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.425-457
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• 2006

The purpose of this paper was to analyze a teacher's questioning in the learner-centered mathematics lessons and investigate its effects on the construction of learner's knowledge. For this study, it is analysed that the teacher's questioning in the 3 observed learner-centered lessons concerning elementary division topic. The study results showed that the characteristics of the teacher's questioning were respecting of learner's informal mathematical thinking, open-ended questioning for divergent thinking, appropriate questioning at every group, and respecting classroom norm. Teacher's questioning affects the quality of learner's mathematical thinking and his or her attitude toward mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.865-884
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• 2010

The purpose of this research was to analyze the characteristics of teachers' questionings in the geometry field and suggest the characteristics of teacher questioning to enhance students' mathematical creativity. Teacher questioning plays a role to students' mathematical achievements, mathematical thinking, and their attitudes toward mathematics. However, there has been little research on the roles of teacher questioning on students' mathematical creativity. In this research, researchers analyzed teachers' questions concerning the concepts of triangles in the geometric areas of 4th grade Korean revised 2007 mathematics textbooks. We also analyzed teachers' questionings in the three lessons provided by the Jeju Educational Internet Broadcasting System. We classified and analyzed teachers' questionings by the sub-factors of creativity. The results showed that the teachers did not use the questionings that appropriately enhances students' mathematical creativity. We suggested that teachers need to be prepared to ask questions such as stimulating students' various mathematical thinking, encouraging many possible responses, and not responding with yes/no. Instead, teachers need to encourage students to explain the reasons of their responses and to take part in learning activities with interest.

• Education of Primary School Mathematics
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• v.13 no.1
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• pp.25-35
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• 2010

The purpose of this research was to analyze questioning types of the Korean Elementary Mathematics Textbook in grade 3 and suggest the direction of questioning strategies for enhancing creativity in mathematics lessons. For the research, the researcher analyzed questioning types of the 3rd grade mathematics textbook and the changes of the questions compared with the questions in the previous textbooks. The author suggested the following recommendations. First, the questioning strategies of the revised mathematics textbook tends more to enhance students' creativity than the previous ones did. Second, teachers need to know the students' level of mathematics before starting their mathematics lessons because teachers can provide more effective differentiated questioning to the students. Third, students can response tuned to their level of mathematics if they meet with open-ended questions. It is desirable to develop good open-ended questions to fit students' abilities. Last, teachers should provide opportunities for students to share their own mathematical thinking. In risk-free environment, students can willingly participate at debating over mathematics proofs and refutation. Teachers should make efforts to make the classroom norm or culture free to debate among students, which leads to enhancement of students' creativity or mathematical creativity.

• The Mathematical Education
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• v.46 no.4
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• pp.423-443
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• 2007

Based on the framework of Huffered-Ackles, Fuson and Sherin(2004), data were analyzed in terms of 3 components: explaining(E), questioning(Q) and justifying(J) of students' mathematical concepts and problem solving in a math classroom. The students used varied presentations to explain and justify their mathematical concepts and ideas. They corrected their mathematical errors or misconceptions through discourses. In addition, they constructed and clarified their concepts and thinking while they were interacted. We were able to recognize there was a special feature in discourses that encouraged the students to construct and develop their mathematical concepts. As they participated in math class and received feedback on their learning, the whole class worked cooperatively in a positive way. Their discourse was improved from the level of the actual development to the level of the potential development and the pattern of interaction moved from ERE(Elicitaion-Response-Elaboration to PD(Proposition Discussion).

• Education of Primary School Mathematics
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• v.14 no.3
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• pp.293-302
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• 2011

The objective of this study is to search the recognition of teacher on the pattern and characteristics of the questioning sentence of the newly appointed teachers for the mathematics class through the case study for the 2ndyear teachers. The study participants' class was recorded in video and individual interview was made for 4 times. The pattern of the questioning sentence in the observed class was analyzed using the classification frame with addition of creativity related items to the classification frame suggested by Mogan & Saxton(2006). The questioning sentence and recognition on the mathematics class for the newly appointed teachers were analyzed based on the individual meeting and class materials. In result, the questioning sentence for confirmation was most frequent (69%) and questioning sentence of understanding (25%) and the questioning sentence for introspection (6%) in its priority. It was known that the questioning sentence for extending the creativity didn't make it at all. It was revealed that the participant teachers in this study used the questioning sentence pattern for fact confirmation of the student most frequently and the use of the questioning sentence for accelerating the creative thinking of the student was lacked. In addition, the teachers recognized that they manage the class oriented to questioning sentence for obtaining the concept. It was known that the education for the questioning sentence which accelerates the creativity and other thinking as well as the fact confirmation pattern is necessary through the training for the new teachers in the future.

• The Mathematical Education
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• v.62 no.1
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• pp.35-55
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• 2023

The purpose of this study is to examine not only students' cognition in the mathematical error-finding activity of the concept of irrational numbers, but also the students' learning stance regarding the use of errors and a teacher's questioning strategies that lead to changes in the level of mathematical discourse. To this end, error-finding individual activities, group activities, and additional interviews were conducted with 133 middle school students, and students' cognition and the teacher's questioning strategies for changes in students' learning stance and levels of mathematical discourse were analyzed. As a result of the study, students' cognition focuses on the symbolic representation of irrational numbers and the representation of decimal numbers, and they recognize the existence of irrational numbers on a number line, but tend to have difficulty expressing a number line using figures. In addition, the importance of the teacher's leading and exploring questioning strategy was observed to promote changes in students' learning stance and levels of mathematical discourse. This study is valuable in that it specified the method of using errors in mathematics teaching and learning and elaborated the teacher's questioning strategies in finding mathematical errors.

• The Mathematical Education
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• v.62 no.2
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• pp.237-255
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• 2023

The objective of this study is to explore the meaning generated through discourse in three different types of 1st-grade middle school textbooks in Korea and CMP textbook in the United States, specifically focusing on histograms. Through a discursive perspective, the study aims to analyze the characteristics of questioning within the stages of statistical problem-solving found in histogram tasks. The findings highlight several significant points. Firstly, variations exist in the definitions of histograms between Korean and US CMP textbooks. Secondly, diverse discursive structures contribute to the interpretation and understanding of histograms in textbooks. Thirdly, limitations are observed in the stages of statistical problem-solving reflected in histogram tasks. Lastly, distinctions are identified in the types of questioning employed in histogram tasks between Korean and US CMP textbooks. Building on these insights, the study suggests concrete ideas for enhancing the process of defining histograms and refining the questioning in histogram tasks.

• Journal of the Korean School Mathematics Society
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• v.11 no.2
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• pp.201-219
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• 2008

The purpose of this study was to provide useful information for teachers by analyzing various levels of teacher-student communication in elementary mathematics classes and students' mathematical thinking. This study explored mathematical communication of 3 classrooms with regard to questioning, explaining, and the source of mathematical ideas. This study then probed the characteristics of students' mathematical thinking in different standards of communication. The results showed that the higher levels of teacher-student mathematical communication were found with increased frequency of students' mathematical thinking and type. The classroom that had a higher level of Leacher-student mathematical communication was exhibited a higher level of students' mathematical thinking. This highlights the importance of mathematical communication in mathematics c1asses and the necessity of further developing skills of mathematical communication.