• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.275-290
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• 2014

This study aims to examine how secondary mathematics teachers perceive and how they use constructed-response assessment in their mathematics classrooms. For this purpose, we conducted a survey in Seoul, Inchun, and Gyeonggi-do; 189 teachers participated in the survey. Results from the data analysis suggest as follows: a) the secondary mathematics teachers participated in the survey seem to consider the primary goals of assessment through constructed-response items as evaluating student achievement and the development of students' thinking and creativity; b) the teachers perceive that constructed-response assessment would promote students' mathematical thinking and problem solving skills; c) in general, constructed-response items were included in both performance assessment(less than 20 percent) and paper-and-pencil test(20 to 40 percent); and d) constructed-response items were primarily used as a part of regular examination, rather than as an independent assessment.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.63-95
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• 2012

Since performance assessment was implemented for 10 years, a survey has been carried out from 212 elementary school teachers in Seoul area in terms of their perception and status about descriptive assessment. As results, most of teachers agreed strongly that using constructed-response items is necessary for assessment, and they showed that purpose of using constructed-response items in their mathematics classrooms was to evaluate accurately student achievement in accordance with learning objectives in mathematics and they referred mainly to items which they modified from problems or items in the textbook when they generate constructed-response items. In addition, they considered level of difficulty in creating constructed-response items mostly. Moreover, they indicated that the effects of assessment through constructed-response items would be improvement of students' problem solving and reasoning skills.

• The Mathematical Education
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• v.60 no.4
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• pp.509-527
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• 2021

We investigated whether and how pre-service teachers took the realistic contexts seriously in the course of solving word problems; additionally, we investigated how pre-service teachers evaluated students' realistic and non-realistic answers to word problems. Many pre-service teachers, similar to students, solved some of the realistic problems unrealistically without taking the realistic contexts seriously. Besides, they evaluated students' non-realistic answers higher than the realistic answers. Whether the pre-service teachers could solve problems realistically or not, they did not appreciate students' realistic considerations for the reasons that those were not fitted to the intentions of the word problems, or those were evidence of the flaws of the problem. Furthermore, the analysis of premises implied in the pre-service teachers' evaluation comments showed the implicit didactic contracts about realistic word problem solving that they accepted and also anticipated students to follow. Our analysis of the pre-service teachers' conceptions of realistic word problems can help teacher educators design the teacher program to challenge and revise pre-service teachers' folk pedagogy.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.159-181
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• 2023

The purpose of this study is to explore secondary mathematics teachers' perceptions on Artificial Intelligence (AI). For this purpose, we conducted three focus group interviews with 18 secondary in-service mathematics teachers and analyzed their perceptions on AI for math and math for AI. The secondary in-service mathematics teachers perceive that AI allows to implement different types of mathematics instruction but has limitations in exploring students' mathematical thinking and having emotional interactions with students. They also perceive that AI makes it easy to develop assessment items for teachers but teachers' interventions are needed for grading essay-type assessment items. Lastly, the secondary in-service mathematics teachers agree the rationale of adopting the subject ＜Artificial Intelligence Mathematics＞ and its needs for students, but they perceive that they are not well prepared yet to teach the subject and do not have sufficient resources for teaching the subject and assessing students' understanding about the subject. The findings provide implications and insights for developing individualized AI learning tools for students in the secondary level, providing AI assessment tools for teachers, and offering professional development programs for teachers to increase their understanding about the subject.

• School Mathematics
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• v.15 no.1
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• pp.201-219
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• 2013

The purpose of this study was to analyse the belief about mathematics teaching of elementary preservice teachers and mathematics teachers. This study involved 100 respondents from the preservice teachers and 114 respondents from the mathematics teachers. The instruments used in this study consist 15 items of mathematical knowledges and 19 items of mathematical activities. The finding showed that preservice teachers emphasized the conceptual knowledge, whereas mathematics teachers emphasized the procedural knowledge in the mathematical knowledges. And preservice teachers emphasized the knowledge representation, knowledge generation, knowledge deliberation, knowledge communication, whereas mathematics teachers emphasized the use of knowledge(syntax) in the mathematical activities. Finally, even though two groups showed the significant difference in some items, preservice teachers and mathematics teachers emphasized the various mathematical knowledges and mathematical activities.

• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.675-694
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• 2013

The purposes of this study were to investigate teachers' perceptions on process-focused mathematics assessment using manipulatives and technological devices and to propose the direction of the process-focused mathematics assessment. This study was conducted by the survey method with a total of 332 elementary and secondary school mathematics teachers working in Seoul or Gyeonggi areas who had experienced in using manipulatives and technological devices. According to the results, the use of manipulatives and technological devices in the process-focused mathematics assessment will facilitate the use of various alternative assessment methods such as research-report, project, and discussion for the process-focused mathematics assessment. Those alternative assessment methods enable teachers to diagnose students' learning in more accurate and holistic views and contribute to improving teachers' teaching practices focused on the mathematical process.

• Journal of the Korean School Mathematics Society
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• v.21 no.1
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• pp.63-89
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• 2018

In this study, the researcher developed a course integrated mathematical problem posing activities in order to enhance pre-service mathematics teachers' ability to carry out problem posing activities in mathematics classroom, and examined the changes of pre-service mathematics teachers' perceptions about problem posing through the course. The problem posing course developed in this study consisted of three stages: education on the theories regarding problem posing; activities with problem posing; development and implementation of problem posing tasks. According to the results of the questionnaires, interviews, and class journals data analysis, the problem posing experiences provided in this study were very effective in improving pre-service mathematics teachers' understanding of the problem posing strategies and the benefit of problem posing activities to student learning. Particularly, the experience in various problem posing activities and the implementation experience of problem posing provided in the course played a key role in the improvement of pre-service mathematics teachers' understanding of problem posing and PCK.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.533-551
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• 2013

The purpose of this study is to investigate how middle school mathematics teachers understand the definition and the purpose of constructed-response assessments as well as what they expect from the assessments. By examining the responses of 189 middle school mathematics teachers to the survey, we found that there is discrepancy between their perceptions and reality of the constructed-response assessments in practice. In other words, teachers' practice is not well aligned with their perceptions and expectations due to the restraint of school system and environment. The findings give us some meaningful implication for the improvement of effective constructed-response assessments and professional development.

• The Mathematical Education
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• v.61 no.2
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• pp.239-256
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• 2022

This study was to investigate the perception, performance, and difficulties of process-based assessment for high school mathematics teachers. As a qualitative case study, two in-depth group interviews were conducted with 6 high school mathematics teachers working in Incheon area. The two groups were one with more experience in process-based assessment and the other with less experience. As results, there were differences between the participant teachers' perception of process-based assessment and their actual performance depending on the experience. All six math teachers thought that the process-based assessment was intended to confirm the learner's characteristics, to evaluate the process, and to provide feedback on a regular basis immediately and individually. However, in the practical performance shared by teachers, the purpose of assessment was to create a school record. A group with a lot of experience prepared assessment criteria according to the national curriculum achievement standards, established affective assessment plans, and tried to provide individual feedback on a regular basis. On the other hand, the inexperienced group recorded the affective characteristics discovered by chance and provided temporary and large-scale feedback regardless of the achievement criteria. Finally, we suggested some implications based on the study results.

• Education of Primary School Mathematics
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• v.16 no.1
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• pp.71-86
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• 2013

The use of manipulative materials is one of the most important teaching-learning methods at primary level, and is recommended across all grade levels and for all areas of mathematics. This study looked into specific manipulative materials suggested in Korean elementary mathematics textbooks and analysed perceptions and actual use of the manipulative materials according to the teachers. As a result, although most teachers were fully familiar with mathematical topics for which manipulative materials can be used and actually used those materials in lessons, but their knowledge on the efficiency of manipulatives and the way to use them efficiently was found somewhat insufficient. This suggests that teachers' knowledge on manipulative materials must be enhanced and there should be active measures taken to support the use of it.