• East Asian mathematical journal
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• v.36 no.2
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• pp.173-201
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• 2020

Mathematical modeling has been emphasized because it offers important opportunities for students to both apply their learning of mathematics to a situation and to explore the mathematics involved in the context of the situation. However, unlike its importance, mathematical modeling has not been grounded in typical mathematics classes because teachers do not have enough understanding of mathematical modeling and they are skeptical to implement it in their lessons. The current study analyzed the data, such as video recordings, slides, and surveys for teachers, collected in four lessons of teacher education in terms of mathematical modeling. The study reported different kinds of tasks that are authentic with regards to mathematical modeling. Furthermore, in teacher education, teachers' identities have separated a mode as learners and a mode as teachers and conflicts and intentional transition were observed. Analysis of the surveys shows what teachers think about mathematical modeling with their understanding of it. In teacher education, teachers achieved different kinds of modeling tasks and experience them which are helpful to enact mathematical modeling in their lessons. However, teacher education also needs to specifically offer what to do and how to do it for their lessons.

• The Mathematical Education
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• v.53 no.4
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• pp.525-539
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• 2014

In this study, we suggest implications for teaching mathematical justification with analysis of 6th grade students' awareness of why they needed mathematical justification and their levels of mathematics justification in Algebra and Geometry. Also how their levels of mathematical justification were related to mathematic achievement. 96% of students thought mathematical justification was needed, the reasons were limited for checking their solutions and answers. The level of mathematical justification in Algebra was higher than in Geometry. Students who had higher mathematic achievement had higher levels of mathematical justification. In conclusion, we searched the possibility of teaching mathematical justification to students, and we found some practical methods for teaching.

• Human Ecology Research
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• v.58 no.1
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• pp.105-120
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• 2020

This study helps infant teachers practice a constructivism-based teacher education program that supports infant mathematical inquiry activities and examines improvements in mathematical teaching knowledge, mathematical teaching initiatives, mathematical interaction, constructivism belief and mathematical teaching efficacy. Twenty two experiment group infant teachers and twenty two comparison group infant teachers were chosen at two workforce educare centers. The experiment group infant teachers participated in 18 sessions of a constructivism teacher training program for 8 weeks, but the comparison group infant teachers did not take part in the program. Pretest and post-tests were implemented for the mathematical teaching knowledge, mathematical teaching initiatives, mathematical interactions, constructivism belief and mathematical teaching efficacy in the experiment group. Independent sample t-test and ANCOVA were tested using Windows SPSS statistics 21.0. The homogeneity test for the experiment and comparison group revealed significant differences. ANCOVA was carried out after the pretest score was controlled as a co-variance. Significant differences were indicated in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. The results indicated that a constructivism-based teacher education program to support infant mathematical inquiry activities influenced improvements in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. This study proved the effects of the program based on constructivism theory content for the knowledge, skills and attitude about infant teaching of mathematical initiatives and practiced a program of exploration, investigation, application and assessment for infant teachers. The results can help infant teachers teach mathematical exploration activities and help activate infant mathematical exploration activities.

• Research in Mathematical Education
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• v.12 no.2
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• pp.127-142
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• 2008

The most important aim of mathematics education is to promote mathematical thinking. In the Hong Kong primary school, mathematical thinking is usually conducted through the use of formula and working on "application problem" or "word problems". However, there are many other ways that can promote mathematical thinking, and investigation on mathematical structure by using counting is one important source for promoting mathematical thinking for primary school children, as every children can count and hence a well designed question that can be solved by counting can enable children of different abilities to work together and obtain different results.

• Journal of the Korean Mathematical Society
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• v.19 no.2
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• pp.123-128
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• 1983

• Journal of the Korean Mathematical Society
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• v.20 no.1
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• pp.67-74
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• 1983

• East Asian mathematical journal
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• v.14 no.2
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• pp.219-226
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• 1998

• East Asian mathematical journal
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• v.14 no.2
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• pp.383-391
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• 1998

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.525-548
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• 2010

How to enhance the ability of underachieve students are unsolved problems for mathematics teachers despite of their best efforts to teach them. The purpose of this study is to explore the effectiveness of mathematical journal writing as a method of improving the mathematical attitudes and achievements for underachieve students. Seven students whose performances were below 40% on the final exam in the 1st semester were recruited in order to gather empirical data. Before journal writing procedures, the subjects' characteristics, learning styles and mathematical attitudes were investigated through personal interview and mathematical attitude test. After six-week journal writing, follow-up survey and mathematical attitude test were conducted. The results of this research are as follows: Mathematical journal writing had a positive effect to underachieve students on improving confidence in mathematics and a positive influence on active and effective learning attitude. And mathematical journal writing had an effect on improvement in their mathematics achievement comparing first semester's final exam with second semester's mid-term exam. Finally mathematical journal writing contributes positively to the relationship between students and their teacher.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.347-370
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• 2015

The purpose of this study is to examine the effects of mathematical modeling activities on mathematical problem solving abilities and mathematical dispositions in elementary school students. For this study, we administered mathematical modeling activities to fifth graders, which consisted of 8 topics taught over 16 classes. In the results of this study, mathematical modeling activities were statistically proven to be more effective in improving mathematical problem solving abilities and mathematical dispositions compared to traditional textbook-centered lessons. Also, it was found that mathematical modeling activities promoted student's mathematical thinking such as communication, reasoning, reflective thinking and critical thinking. It is a way to raise the formation of desirable mathematical dispositions by actively participating in modeling activities. It is proved that mathematical modeling activities quantitatively and qualitatively affect elementary school students's mathematical learning. Therefore, Educators may recognize the applicability of mathematical modeling on elementary school, and consider changing elementary teaching-learning methods and environment.