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

• School Mathematics
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• v.15 no.2
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• pp.243-262
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• 2013

This study attempts to create an analytical framework of the transformation and transmission of knowledge by teachers to students. I focuses on the assertion that the cognitive thinking of a teacher is reflected in his use of mathematical language. Mathematical language is one of the critical elements of communicating mathematical knowledge to students. I examined the cognitive teaching style of different teachers as expressed in their use of mathematical language. An analytical framework of Mathematics Teaching styles was created integrating thinking factors of each visual and analytic style into 5 categories. After that, I regarding the teaching style of mathmatics teachers places its significance not on which teaching style is right or wrong but on identifying the strong and weak points of the teaching styles through actual analysis. With the help of this analytical framework, I conducted an analysis on the videotaped classes and found that the teachers were not biased to one side but in fact there were teachers who demonstrated visual, analytic or mixed teaching style. Therefore, I concludes that math teachers can analyze their teaching styles and improve them through the analytical framework provided in these findings.

• Research in Mathematical Education
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• v.13 no.3
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• pp.181-195
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• 2009

Students' approaches to mathematical problem solving vary greatly with each other. The main objective of the current study was to compare students' performance with different thinking styles (divergent vs. convergent) and working memory capacity upon mathematical problem solving. A sample of 150 high school girls, ages 15 to 16, was studied based on Hudson's test and Digit Span Backwards test as well as a math exam. The results indicated that the effect of thinking styles and working memory on students' performance in problem solving was significant. Moreover, students with divergent thinking style and high working memory capacity showed higher performance than ones with convergent thinking style. The implications of these results on math teaching and problem solving emphasizes that cognitive predictor variable (Convergent/Divergent) and working memory, in particular could be challenging and a rather distinctive factor for students.

• Research in Mathematical Education
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• v.6 no.2
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• pp.171-182
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• 2002

Students approach mathematical problem solving in fundamentally different ways, particularly problems requiring conceptual understanding and complicated strategies such as mathematical word problems. The main objective of this study is to compare students' performance with different cognitive styles (Field-dependent vs. Field-independent) on mathematics problem solving, particularly, in word problems. A sample of 180 school girls (13-years-old) were tested on the Witkin's cognitive style (Group Embedded Figures Test) and two mathematics exams. Results obtained support the hypothesis that students with field-independent cognitive style achieved much better results than Field-dependent ones in word problems. The implications of these results on teaching and setting problems emphasizes that word problems and cognitive predictor variables (Field-dependent/Field- independent) could be challenging and rather distinctive factors on the part of school learners.

• Research in Mathematical Education
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• v.15 no.2
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• pp.105-114
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• 2011

During the 20th century, the secondary school mathematics teaching in China had been developing from the an old-style private school form with individual instruction to classroom teaching with Chinese characteristics, which experienced three stages of development; the stage for the formation of modern teaching system (1902-1949), the stage for development (1950-1976), and the stage for innovation (1977-2000). The characteristics and journey for the transformation will exert great for reference and effects for the reform of secondary school mathematics teaching nowadays.

• The Mathematical Education
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• v.50 no.3
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• pp.367-381
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• 2011

It is important to concern about individual difference on every subject and every class. How can we know the individual difference? It is helpful for that to find out students' math learning style and learning type. In this paper, I conducted a survey to look for math learning style and math learning type of 4th, 5th and 6th grade students, and analyzed those data. The research findings are summarized as follows; First, 4th, 5th and 6th grade students prefer the visual learning style to the verbal style, and they have more wholistic tendency than analytical tendency in the domain of the cognitive learning style. Second, they prefer the authoritative and goal-oriented learning style to the practical and recreational learning style, and they have more interior-oriented than exterior-oriented in the domain of affective learning style. Third, the representative math learning type of 4th, 5th and 6th grade students is visual/holistic/authoritative and goal-oriented/interior-oriented. The math learning styles of students have a lot of influence on their learning, so that an appropriate teaching method for each student could arouse a maximum effect in the math study.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.281-289
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• 2010

Experiment teaching is an important part for science and engineering colleges, teaching through different pilot projects: First, help students to consolidate the theory of operation; second, trail students the capacity and the ability to solve practical problems. Improve students the curriculum of learning, and promote the formation of students to discover and solve the problem. of the basic quality in training students hands-on ability and ability to innovate, while guiding them to develop the attitude of scientific truth-seeking, the style of rigorous and thorough and the spirit of unity and coordination.

• Research in Mathematical Education
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• v.14 no.2
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• pp.115-122
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• 2010

The education of teachers in mathematics consists of two parts: enhancing the math-skills of the students and education in didactics. Mainly the math is taught in lessons for 50 to 100 students or even more. This has wrong influence to the teaching style and the attitude towards mathematics. This paper reports about a project, where active schoolteachers are involved in teaching the mathematics content. This is done in workshops, where the teaching can be a model for teaching a class. In addition there is the chance to inspire the students for mathematics.

• Korean Journal of Child Studies
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• v.22 no.4
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• pp.225-241
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• 2001

This study examines the effect that mathematics teaching efficacy has on teacher's mathematics education practices. Data was obtained from 220 kindergarten teachers who responded to the questionnaire, the mathematics teaching efficacy belief instrument (developed by Enochs). Among these 220 teachers, upper and lower 5 % of the teachers on mathematics teaching efficacy belief were chosen to identify the influence of mathematics teaching efficacy on mathematics activity style, teaching strategy, and teacher-child interaction. The results indicated that teacher's interest in math, previous participation in mathematics teaching method course mainly influenced mathematics teaching self-efficacy. Teachers with high mathematics teaching efficacy belief preferred providing mathematical learning activity than providing other learning areas. They employed effective mathematics teaching strategy such as high and medium cognitive distancing strategy and established positive teacher-child relationship. Implications for teacher education and professional development activities were discussed.

• Korean Journal of Mathematics
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• v.23 no.1
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• pp.93-114
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• 2015

The "flipped" or "inverted" classroom, in which students study lecture-type material at home and do their "homework" in the classroom, has been the subject of research, particularly in the area of student achievement. Yet Bishop and Verleger (2013) state the need for an underlying theory to the practice. The purpose of this paper is to explore "multidimensional teaching," the authors' extension of the two-dimensional "flipped" classroom concept in light of Cambourne's (1995) Conditions for Learning. One author's math class for pre-service teachers was taught in two styles, a more traditional lecture format and in the \inverted" format. Students in the "flipped" format achieved at a higher level. Moreover, students' open-ended comments reveal that Cambourne's Conditions for Learning were implicit to the teaching practice. The authors suggest that practitioners of this style of teaching should deliberately develop student-centered practices, such as those mentioned by Cambourne, in order to retain the power that this teaching style currently has.