• Research in Mathematical Education
• /
• v.13 no.3
• /
• pp.197-216
• /
• 2009

The purpose of this study was to investigate middle and high school mathematics teachers' levels and multiple approaches in United States practicing their abstraction levels and, different strategies and method of solutions towards given number theory problems. The mathematics teachers taking part in this study are consisted of 25 members of online graduate and undergraduate course (MAE 5641 and MAE 4813) delivered through Online Learning System called as the Blackboard (http://www.blackboard.com). Data collection methods include journal entries, written solutions to problems, the teachers' reflections on said problems, and post interviews. Data analysis was done based on [Hazzan, O. & Zazkis, R. (2005). Reducing abstraction: The case of school mathematics. Educ. Stud. Math. 58(1), 101-119]. Analysis of students' written solutions revealed that transitions among the solution methods have major effect on abstraction levels. Elevation and reducing abstraction is a dynamic process.

• The Mathematical Education
• /
• v.49 no.2
• /
• pp.199-221
• /
• 2010

The purpose of the study were to investigate how secondary pre-service teachers conceptualize arithmetic mean and how their conceptualization was formed for solving the problems involving arithmetic mean. As a result, pre-service teachers' conceptualization of arithmetic mean was categorized into conceptualization by "mathematical knowledge(mathematical procedural knowledge, mathematical conceptual knowledge)", "analog knowledge(fair-share, center-of-balance)", and "statistical knowledge". Most pre-service teachers conceptualized the arithmetic mean using mathematical procedural knowledge which involves the rules, algorithm, and procedures of calculating the mean. There were a few pre-service teachers who used analog or statistical knowledge to conceptualize the arithmetic mean, respectively. Finally, we identified the relationship between problem types and conceptualization of arithmetic mean.

• International Journal of Advanced Culture Technology
• /
• v.6 no.4
• /
• pp.240-246
• /
• 2018

The purpose of the study was to examine early childhood teachers' content knowledge of movement education. The subjects, 60 early childhood teachers, were asked to draw concept maps about early childhood movement education. Their concept maps were analyzed in terms of superordinate and subordinate concepts by contents and frequency. The results were as follows. First, 263 superordinate concepts were shown, and they were categorized into 10 representative terms (body movement/health, music, expression, movement type, movement element, games, integration/arts, social studies, tool/instrument, and math/science). Second, 2,186 subordinate concepts were shown, and running, movement, jumping, musical instrument, and expression were frequently shown. In conclusion, early childhood teachers' content knowledge of movement education were various but insufficient in aspect of its systematic organization.

• The Mathematical Education
• /
• v.57 no.2
• /
• pp.75-92
• /
• 2018

Based on Perceptions about Mathematics Teachers (PMT) perceived by high school students, measured by 2189 students from Seoul Educational Longitudinal Study 2014 (SELS 2014), latent profile analysis (LPA) identified five distinct types of student groups (positive, partial positive, middle, negative, extreme negative). These student of positive, middle, and negative groups are positive, moderate and negative perceptions about math teachers. Partial positive group generally had a positive perception about mathematics teachers, extremely negative group was very negative about mathematics teachers. Both of these groups had peculiarly inconsistent trends and several anomalies. The Multinomial logistic regression analyses also indicated that individual factors (gender, major, self-concept, resilience, self-assessment, career maturity), school factors (friendship, relationship with school teachers) and parental factors (academic-relationship, emotional-relationship) were significant predictors of PMT profile groups. The Analysis of variance also indicated that mathematics class (attitude, satisfaction and atmosphere), Mathematics achievement were significant predictors of PMT profile groups. The profiling of perceptions about mathematics teachers resulted in enhanced understanding of the complex range of processes students employed. During mathematics class, implementation of smooth interactions and communications between students and teachers added in the teaching and learning of mathematics.

• School Mathematics
• /
• v.4 no.3
• /
• pp.331-346
• /
• 2002

This study has two purposes. One is to know that it is Possible to use portfolio in the elementary math class. The other is to make a useful method for using portfolio. We got the following conclusion through the study. Portfolio gave students an opportunity that they could review their mathematical thinking. But it couldn't work very well for the low-level students. They didn't pay attention to the class. So, careful prepa-ration and training were necessary for the portfolio material. And the portfolio material must be prepared by appropriate contents. Teacher had to do math class by considering students ability. The math class could be much better for motivation, teaching-learning activity impro-vement and communication tool by using portfolio material. There are several imple-mentation processes in preparation, execution and utilization of the class. 1) Preparation: Teacher must decide if it is appropriate for portfolio by analyzing the course and textbook and set a final goal. And then teacher has to select an appropriate item and make a schedule for the class. The portfolio material must contain valuable things from which students learn mathematics and use in their life. The student level, utilization purpose and contents are considered when one prepares portfolio material. 2) Execution: Students are supposed to understand about the portfolio very well. It is important for them to get the opportunity for reviewing through math class diary, their opinion, friends opinion and teachers opinion. 3) Utilization: Parents review ameliorates the communication among teacher, student and parents about learning activity.

• Journal of Educational Research in Mathematics
• /
• v.9 no.1
• /
• pp.321-332
• /
• 1999

This article made overtures of the relationship between interactive mathematics texts nd the prototype design of computer application with Computer Algebra System Math. Engine, linking together in the school mathematics. School teachers and researchers would try to construct mathematical materials with computers in educating students in the middle and high school grades. As the individual users come to manage hyper-media materials, so they meet with the problem of 'Who does control?'A mass user would be concerned with interactive mathematics materials directly or off-line at realtime and manipulate the process of problem-solving symbolically with MathView/sup 11)/ and ON-Math/sup 12)/. Discussion was made in developing the factor in the domestic situation and reaching out their hands for it. In conclusion, a user may reform the information of math-curriculum limitedly.

• Education of Primary School Mathematics
• /
• v.25 no.4
• /
• pp.343-360
• /
• 2022

In mathematics classes, the verbal explanation may contain diverse mathematical concepts and principles in short sentences. It may also include mathematics symbols and terms that might not be used in everyday life. Therefore, students may need particular listening ability in order to understand and participate in mathematics communication. Unlike general listening, the listening ability for mathematics classes may require student to integrate their mathematical and linguistic knowledge. The aim of this study is to reveal the subdomains of listening ability for mathematics classes in a elementary school. I categorized listening ability for mathematics classes in a elementary school from the literature. The categories of listening ability for mathematics are Interpretive Listening, Evaluative Listening, Hermeneutic Listening, Selective Listening, Pretend Listening, and Ignored Listening. In order to develop a framework for understanding listening ability for mathematics classes, I investigated a hierarchy of 412 South Korean elementary teachers' perception. Through a web-based survey, the teachers were asked to rank order their beliefs about and students' listening ability. Findings show that teachers' perceptions about listening ability for mathematics classes are divergent from current research trends. South Korean elementary teachers perceived Interpretive Listening as the most important listening.

• Educational Technology International
• /
• v.11 no.1
• /
• pp.69-92
• /
• 2010

The purpose of this study is to examine middle school teachers' use of technology and problem-based learning (PBL) in their teaching practice. Factors related to teachers' use of technology and PBL are also investigated including: teachers' computer and Internet skills, feelings of preparedness to use the Internet, attitudes toward the use of web resources, pedagogical beliefs, science teaching efficacy, and the use of general teaching strategies. Twenty-seven middle school science, math, and technology teachers participated in the study. Research results describe the participants as slightly proficient in computer and Internet skills, positive toward use of web resources, and neutral on feelings of preparedness toward use of computer and the Internet. Participants also tended toward constructivist pedagogical beliefs and used various teaching strategies. They, however, reported low science teaching efficacy. Teachers' use of computers and the Internet correlated with pedagogical beliefs and feelings of preparedness toward the use of computers and the Internet. The study also found the relationships between the use of PBL and teachers' computer and internet skills, pedagogical beliefs, and the use of general teaching strategies. Also discussed are meaningful implications for teachers' professional development, especially for the programs designed to facilitate the use of web-enhanced PBL.

• Journal of Fisheries and Marine Sciences Education
• /
• v.27 no.6
• /
• pp.1556-1568
• /
• 2015

The objectives of this study were to inquiry of application types and use methodology of EBS-CSAT prep books of vocation education division in specialized vocational high schools. Research participants are 8 specialized vocational high school teachers in Seoul and Gyeonggi, and subjects are basic industry and basic drawing. The teachers had using EBS-CSAT prep books in class or after-school. The results are as follows: The teachers used items explanation of after-school rather than regular classes using EBS-CSAT prep books of vocation education division in specialized vocational high schools. Online lectures were used for self-directed learning of specialized vocational high school students rather than regular classes. Students and teachers of specialized vocational high school needed EBS-CSAT prep books of vocation education division by free gift instead of EBS-CSAT prep books of Korea language, english, math.

• Research in Mathematical Education
• /
• v.17 no.4
• /
• pp.267-278
• /
• 2013

Through quantitative analysis of two math classroom videos, combined with the relationship between types of teachers' questioning and students' answering, it is concluded the following problems are in the mathematics classroom teaching: (1) The time of teachers' questioning is longer, the number is too much, with managerial questions and prompting questions is given priority to; (2) Teachers' questioning time is longer than students' answering time, comprehensive answer is more, creative answer is little; (3) In the classroom questioning, students' participation is low; and (4) There is a significant correlation between types of teachers' questioning and length of waiting time after questions. In response to these phenomena, we propose strategies as follows: pursuit of timeliness of classroom questioning, reducing inefficient questions, to increase efficient questions, adopting different waiting strategies for different questioning types, to mobilize students' thinking activities, and improving students' participation etc.