• 아동학회지
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• 제10권1호
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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.

• 대한수학교육학회지:학교수학
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• 제15권2호
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• pp.243-262
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• 2013

본 연구는 인지적 측면에서 수학 교사의 교수 양식을 분석하는 것을 목적으로 하고 있다. 이를 위해 먼저 문헌 연구를 통해 수학에서 서로 대비되는 유형으로 분류될 수 있는 인지적 사고 요소들을 탐색하고, 확인적 요인분석을 통해 이 요소들을 시각적 양식과 분석적 양식으로 범주화할 수 있다는 것을 검증하였다. 요인 분석 결과를 바탕으로 두 가지 양식과 두 가지 양식이 대등하게 나타나는 혼합적 양식을 수학 교수 양식으로 설정하고, 교사들의 양식을 분석할 수 있는 분석틀을 개발하였다. 또한, 수학 교수 양식 분석틀을 Flanders의 언어 상호작용 분석법(Amidon & Flanders, 1967)에 적용하여 교사들의 수학 수업을 통해서 교수 양식을 분석할 수 있는 방법을 설계하였다. 그리고 이를 활용해 수학 수업에서 교사들이 사용하는 수학적 언어를 분석한 결과, 실제로 시각적 양식, 분석적 양식, 혼합적 양식이 나타나는 것을 확인하였다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제13권3호
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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.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제6권2호
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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.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제15권2호
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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.

• 한국수학교육학회지시리즈A:수학교육
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• 제50권3호
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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.

• 한국수학교육학회:학술대회논문집
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• 한국수학교육학회 2010년도 제44회 전국수학교육연구대회
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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.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권2호
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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.

• 아동학회지
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• 제22권4호
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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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• 제23권1호
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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.