• Research in Mathematical Education
• /
• v.25 no.1
• /
• pp.91-97
• /
• 2022

Competent mathematics teachers need to implement the responsive teaching strategy to use student thinking to make instructional decisions. However, the responsive teaching strategy is difficult to implement, and limited research has been conducted in traditional classroom settings. Therefore, we need a better understanding of responsive teaching practices to support mathematics teachers adopting and implementing them in their classrooms. Responsive teaching strategy is connected with teachers' noticing practice because mathematics teachers' ability to notice classroom events and student thinking is connected with their interaction with students. In this regard, this review introduced and examined a study of the relationship between mathematics teachers' noticing and responsive teaching: In the context of teaching for all students' mathematical thinking conducted by Kim et al. (2017).

• School Mathematics
• /
• v.2 no.1
• /
• pp.53-72
• /
• 2000

The purpose of this study is to review theoretically the meaning and importance of mathematical communication and to search effective teaching-learning materials to develop it. This study has the content on relation of learning & communication, the qualitative examination of student's response in some mathematical communication tasks and materials of teaching mathematical communication.

• Communications of Mathematical Education
• /
• v.31 no.2
• /
• pp.203-221
• /
• 2017

The purpose of this study is to suggest didactical principles for using mathematical teaching aids and to applicate didactical principles in a relation with curriculum. First, we meta-analyzed related literature to suggest didactical principles for using mathematical teaching aids. And we suggested didactical principles as follows: principle of activities, principle of instruments, principle of learning. Using mathematical teaching aids with didactical principles in mind would help avoiding situations in which mathematical teaching aids are only used as interesting tools. Second, we concretized the meaning to applicate didactical principles and use mathematical teaching aids in a relation with curriculum. We considered domain, key concept, function, achievement standard, which were presented in the curriculum of mathematics, and suggested concrete activities. Third, we produced two designs for lessons on incenter and circumcenter of triangle and linear function's graph using mathematical teaching aids.

• Korean Journal of Child Studies
• /
• v.10 no.1
• /
• pp.1-10
• /
• 1989

This study compared the effects of open and directed teaching styles on creativity and mathematical achievement. The subjects were 32 three- and four-year-old children enrolled in the Home Economics Laboratory Nursery School at the University of Arkansas during the fall semester of 1987. In this study, the open teaching style was a child-oriented method of teaching with the help or guidance rather than the actual instruction of teacher, while the directed teaching style was a teacher-oriented method of teaching with actual instruction of the teacher. Forty-eight activities and materials relevant to mathematical concepts appropriately designed for the subjects were used. The nursery school children were divided into morning and afternoon groups. Utilizing a Latin square design, the children in the morning group were taught by the directed teaching style for four weeks followed by a three week period of no planned mathematical activities, then taught by the open teaching style for four weeks. The children in the afternoon group followed the same schedule except the open teaching style was first. At the end of the two four-week sessions of mathematics experiences Thinking Creatively in Action and Movement and selected items of Tests of Basic Experiences 2: Mathematics were administered. The scores of each of the two tests were analyzed using a t-test of dependent measures for the two teaching styles, the sex, and the age of the children. Children taught using the directed teaching style showed a significantly higher originality and mathematical achievement scores than those taught using the open teaching style. Differences for sex and age revealed that the directed teaching style was a significantly better method of instruction to foster the originality for boys and the mathematical achievement for four-year-old children.

• Research in Mathematical Education
• /
• v.9 no.4 s.24
• /
• pp.341-350
• /
• 2005

In this increasingly technological world, the creativity development has been highlighted much in many countries. In this paper, two mathematical activities with Chinese characteristics are presented to illustrate how to integrate algorithmic teaching into mathematical activities to develop students' creativity. Case studies show that the learning of algorithm can be transferred into creative learning when students construct their own algorithms in Logo environment rather than being indoctrinated the existing algorithms. Creativity development in different stages of mathematical activities and creativity development in programming are also discussed.

• Research in Mathematical Education
• /
• v.18 no.3
• /
• pp.235-235
• /
• 2014

• East Asian mathematical journal
• /
• v.37 no.2
• /
• pp.223-243
• /
• 2021

The purpose of this thesis is to analyze the effect on formation of computational abilities and dispositions to the first grade of elementary school students by applying of communicative teaching and learning activity. As a result of analysis, we could get some suggestive points and also we could make sure that computational abilities and dispositions of the first grade students are formed by applying of communicative teaching and learning activity. However, help and control of teacher have to be with it.

• The Mathematical Education
• /
• v.56 no.3
• /
• pp.257-280
• /
• 2017

The purpose of this study is to analyze middle school students' learning characteristics they showed on the inquiry-based learning process of circumcenter using various teaching tools, and then to identify the effects of using teaching tools in the middle school students' learning process of circumcenter. For this purpose, we developed teaching materials for inquiry-based learning of circumcenter using textbook, origami, ruler and compass, GeoGebra and sand experiment. Then we applied them on the learning process of circumcenter for five groups of middle school students. From the analyzing of audio/video materials and documents which are collected from the process of participants' inquiry-based learning of circumcenter, we identified the following results. First, inquiry-based learning of circumcenter using various teaching tools promoted mathematical discourses among participants of this study. For example, they conjectured mathematical properties or justified their opinions after manipulated teaching tools in the process of learning circumcenter. Second, inquiry-based learning of circumcenter using various teaching tools promoted participants' divergent thinking. They tried many inquiry methods to find new mathematical properties relate to circumcenter. For example, they tried many inquiry methods to know whether there is unique circle containing four vertices of given quadrangles. Third, we found several didactic implications relate to inquiry-based learning of circumcenter using various teaching tools which are due to characteristics of teaching tools themselves. Participants showed several misconceptions about mathematical properties during they participated inquiry-based activity for learning of circumcenter using various teaching tools. We identified their misconceptions were not due to any other variables containing their learning characteristics but to characteristics of teaching tools.

• East Asian mathematical journal
• /
• v.32 no.4
• /
• pp.443-464
• /
• 2016

The purpose of ths study is to compare and analyze the sequence of teaching multiplication facts in the elementary school mathematics. Generally, the multiplication in the elementary school mathematics is composed of the followings; concepts of multiplication, situations involving multiplication, didactical models for multiplication, and multiplication strategies for teaching multiplication facts. This study is focusing to multiplication facts, especially to the sequence of teaching and multiplication strategies. The method of this study is a comparative and analytic method. In order to compare textbooks, we select the Korean elementary mathematics textbooks(1st curriculum~2009 revised curriculum) and the 9 foreign elementary mathematics textbooks(Japan, China, Germany, Finland, Hongkong etc.). As results of comparative investigation, the sequence of teaching multiplication facts is reconsidered on a basis of elementary students' mathematical thinking. And the connectivity of multiplication facts is strengthened in comparison with the foreign elementary mathematics textbooks. Finally multiplication strategies for teaching multiplication facts are discussed for more understanding and reasoning the principles of multiplication facts in the elementary school mathematics.

• The Mathematical Education
• /
• v.47 no.4
• /
• pp.405-419
• /
• 2008

The purpose of this study is to find oui the effects of teaching mathematical concepts by designing and applying teaching and learning programs that takes into consideration the students' strong intelligence, through the teaching and learning strategies based on the multiple intelligences theory. For this study, developmental and experimental research was conducted. In the developmental research part of the study, teaching and learning programs for teaching the concept of multiplication were designed and the activities based on the multiple intelligences were chosen. On the other hand, in the experimental research part, the data acquired from the application of nonequivalent control group pretest-posttest design in the actual classes was processed and analyzed. The results above indicate that the teaching and learning program based on the multiple intelligences theory improved the students' overall understanding of mathematical concepts by providing various types of activities. In addition, this program helped students to increase their confidence and generate a positive attitude towards learning math.