• School Mathematics
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• v.8 no.4
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• pp.417-439
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• 2006

Many studies indicate the emerging crisis of education of calculus even though the emphasis of calculus have been widely recognized. In our classrooms, the education of calculus also has been faced with its bounds. Most instructions of calculus is too much emphasis on the algebraic approach, thus students solve mathematical problems without truly understanding the underlying concept. The purpose of this study is to develop mathematization teaching and learning materials and methods in caculus based on the mathematization teaching and learning theories by Freudenthal and the variability principles of conceptual learning by Dienes, In order to this purpose, first, we analyzed the high school mathematics II textbook of 7th curriculum in Korea. Second, we developed mathematization teaching and learning materials and methods in highschool calculus. Consequently, the following conclusions have been drawn: we have reorganized and reconstructed the context problem in calculus based on concepts of tangent line and instantaneous rate of change.

• Research in Mathematical Education
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• v.25 no.4
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• pp.267-284
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• 2022

In response to the current educational situation of students' heavy workload, the author constructs the precision-targeted classroom based on Precision Teaching (PT), Network Pharmacology, and Treatment Based on Syndrome Differentiation. The precision-targeted classroom can solve the current problems of PT and the phenomenon of the heavy academic burden on students, achieve the reduction of the burden and increase the efficiency of education. The precision-targeted classroom includes five key points: targeted goals, childlike thinking, precise intervention, intelligent homework, and stereoscopic evaluation, and the implementation process of the precision-targeted classroom is built from three aspects: before, during and after class. In addition, the author applied it to the actual mathematics classroom to test its teaching effect, and the experimental results showed that: the precision-targeted classroom significantly improved students' academic performance and thinking level; considerably improved students' classroom learning status, and facilitated teaching personalization and realized homework quantity control and quality improvement.

• Communications of Mathematical Education
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• v.27 no.2
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• pp.99-119
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• 2013

This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.

• The Mathematical Education
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• v.42 no.4
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• pp.431-452
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• 2003

In this paper we briefly survey recent works on training of mathematics teacher at universities of some countries. The main purpose of this work is to propose a desirable direction of curriculum and teaching/learning paradigm for training mathematics teachers at universities.

• Research in Mathematical Education
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• v.15 no.3
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• pp.295-310
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• 2011

Teachers' attitudes and beliefs are related to teaching practices and are dependent upon their teaching domain. The present study compares conceptual models of creative student oriented teaching practices of mathematics teachers in two OECD countries, South Korea and Turkey to provide an insight for teacher educators and policy makers. Teaching and Learning International Survey 2008 (TALIS 2008) data are used to test the fit of a path analysis model with a subsample of l337 middle school mathematics teachers ($N_{Korea}$ = 562 vs. $N_{Turkey}$ = 775). The study showed that Turkish teachers were younger and less experienced, whereas Korean teachers were better educated. Despite the statistical differences in attitudes, beliefs and practices between countries, it was found that the teaching practices of mathematics teachers in both countries were more complex than to be explained only through attitudes and beliefs.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.183-197
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• 1998

Many schools of the secondary level have been recently carrying out 'differentiated class'based on ability grouping between classed(DC). They are usually consisted of three levels; high level available to enriched course, middle level, and low level available to supplemental course. Phrhaps, almost all of the schools might nave executed DC before 2000 year. To do this, a lots of teachers have to develop differentiated teaching and learning materials for themselves. But, these mateirals are usually consisted of differentiated mathematics not on 'content'but on 'items'. So, for the successful 7th differentiated curriculum, the issues such as teaching and learning methods, materials, and evaluation system should be considered in depth focused on DC. .Decide issues related to DC(for example, mathematical contents, methods, activities, class speed,extra)based not on teachers or experts but on students. .Differentiate teaching and learning mateirals according to DC and develop the materials(including guidelines, supplementary books, multimedia, extra) based not on mathematical items but on mathematical contents. .Introduce new mathematical concepts or laws using not only not only definition and explanation but also concrete examples or problems. .Suggest differentiated diverse projects related to mathematical subjects suitable to enhance students` thinking ability to each class. .Have students to develop projects successfully by collecting, representing, analyzing, and interpreting data through communications in a cooperative learning environment.

• Research in Mathematical Education
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• v.19 no.2
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• pp.141-153
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• 2015

This paper compares and contrasts the perspectives of effective mathematics teaching by 135 elementary school teachers, 132 middle school teachers, and 124 high school teachers using a questionnaire in South Korea. All groups of teachers chose in common the teaching and learning strand as the most important for effective mathematics instruction. However, elementary school teachers placed greater importance on the curriculum and content strand than their counterparts did. Elementary school teachers tended to agree more upon the 48 items related to good mathematics teaching than their counterparts did. The similarities and differences among the groups of teachers are expected to provoke discussion of what constitutes high-quality mathematics instruction and how such perspectives may be situated in the socio-cultural context.

• School Mathematics
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• v.5 no.3
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• pp.275-295
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• 2003

This study intends to understand the practice of elementary school mathematics education, focusing on the teaching and learning methods. To achieve these goals, we reviewed and analysed instructional methods pertaining to both (general) pedagogy and mathematics education. And we designed and implemented a questionnaire survey regarding the elementary school teachers' opinions. Moreover, we observed several mathematics lessons of elementary school to understand better the practice of teaching and learning. From these survey and observation, we learned several important aspects of investigation and development of instructional methods.

• Education of Primary School Mathematics
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• v.9 no.2 s.18
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• pp.89-105
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• 2005

The purposes of this study were to develop an effective teaching material for slow learners in mathematics and to investigate its effect. To achieve the first goal, several pre-used teaching material and the 7th national curriculum for elementary school mathematics were analyzed to set up a framework fur developing new teaching material. Using these developed framework and curriculum data, 370 units of lesson were developed from the 3rd grade to the 6th grade. To investigate the effect of the material, 3 slow learners (2 from the 5th and 1 from the 6th grade) were selected through diagnostic tests. Then supplementary lessons were administered after school to relieve their disability accordingly for seven months. During the lessons(lasted about 40 minutes), teacher observed the subjects in detail and .judged the teaming sequence and the learning pace. Through this observation and the test administered after the treatment, several conclusions were drawn as follow: First, the supplementary lessons using the developed teaching material helped slow learners understand mathematics and solve problems. Especially, the test scores gained on formative evaluation became higher. This might be caused by the material that enabled to relieve the disablement and the teaching method that aimed to give a meaningful mathematical experience. Second, the supplementary lessons affected positively to the affective domain of the slow learners. They convinced themselves to their mathematical ability and became active in their mathematics class. This was observed by researcher and the class teacher in their lessons. Positive attitude toward mathematics and their ability is quite important for mathematics learning especially fur slow learners in mathematics.

• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.373-388
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• 2013

This paper is to investigate how two elementary school teacher's belief mathematics as educational content, and teaching and learning mathematics as a part of educational methodology, and what the two teachers believe towards gifted children and their education, and what the classes demonstrate and its effects on the sociomathematical norms. To investigate this matter, the study has been conducted with two teachers who have long years of experience in teaching gifted children, but fall into different belief categories. The results of the study show that teacher A falls into the following category: the essentiality of mathematics as 'traditional', teaching mathematics as 'blended', and learning mathematics as 'traditional'. In addition, teacher A views mathematically gifted children as autonomous researchers with low achievement and believes that the teacher is a learning assistant. On the other hand, teacher B falls into the following category: the essentiality of mathematics as 'non-traditional', teaching mathematics as 'non-traditional, and learning mathematics as 'non-traditional.' Also, teacher B views mathematically gifted children as autonomous researchers with high achievement and believes that the teacher is a learning guide. In the teacher A's class for gifted elementary school students, problem solving rule and the answers were considered as important factors and sociomathematical norms that valued difficult arithmetic operation were demonstrated However, in the teacher B's class for gifted elementary school students, sociomathematical norms that valued the process of problem solving, mathematical explanations and justification more than the answers were demonstrated. Based on the results, the implications regarding the education of mathematically gifted students were investigated.