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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Research in Mathematical Education
Journal Basic Information
Journal DOI :
Korea Society of Mathematical Education
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Volume & Issues
Volume 11, Issue 4 - Dec 2007
Volume 11, Issue 3 - Sep 2007
Volume 11, Issue 2 - Jun 2007
Volume 11, Issue 1 - Mar 2007
Selecting the target year
The Relationship between Posing and Solving Arithmetic Word Problems among Chinese Elementary School Children
Chen, Limin ; Van Dooren, Wim ; Chen, Qi ; Verschaffel, Lieven ;
Research in Mathematical Education, volume 11, issue 1, 2007, Pages 1~31
Recent research has documented that there is a close relationship between problem posing and problem solving in arithmetic. However, most studies investigated the relationship between problem posing and problem solving only by means of standard problem situations. In order to overcome that shortcoming, a pilot study with Chinese fourth-graders was done to investigate this relationship using a non-standard, realistic problem situation. The results revealed a significant positive relationship between students' problem posing and solving abilities. Based on that pilot study, a more extensive and systematic ascertaining study was carried out to confirm the observed relationship between problem posing and problem solving among Chinese elementary school children. Results confirmed that there was indeed a close relationship between both skills.
Explaining the Impossibility of Division by Zero: Approaches of Chinese and Korean Middle School Mathematics Teachers
Kim, Young-Ok ;
Research in Mathematical Education, volume 11, issue 1, 2007, Pages 33~51
The present study explores mathematics teachers' understanding of division by zero and their approaches to explaining the impossibility of division by zero. This study analyzes Chinese and Korean middle school mathematics teachers' responses to the teaching task of explaining the impossibility of dividing 7 by zero, and examples of teachers' reasoned explanations for their answers are presented. The findings from this study suggest that most Korean teachers offer multiple types of mathematical explanations for justifying the impossibility of division by zero, while Chinese teachers' explanations were more uniform and based less on mathematical ideas than those of their Korean counterparts. Another finding from this study is that teachers' particular conceptions of zero were strongly associated with their justifications for the impossibility of division by zero, and the influence of the teachers' conceptions of zero was revealed as a barrier in composing a well-reasoned explanation for the impossibility of division by zero. One of the practical implications of this study is those teachers' basic attitudes toward always attempting to give explanations for mathematical facts or mathematical concepts do not seem to be derived solely from their sufficient knowledge of the facts or concepts of mathematics.
Mathematics Curriculum Reform and Power: A Case Study
Zhang, Xiaogui ;
Research in Mathematical Education, volume 11, issue 1, 2007, Pages 53~63
Mathematics curriculum reform is very important, and it can be understood well by power. This paper uses the extended Foucault's power theory as foundations to view mathematics curriculum reform. The research's case is China's ongoing mathematics curriculum reform. Through analyzing the power relationships in China's ongoing mathematics curriculum reform, the paper thinks that power's balance is very important in mathematics curriculum design, because it will affect the designed curriculum.
A Case Study of Developing Students' Ability to Design Algorithm in LOGO Environment
Peng, Aihui ;
Research in Mathematical Education, volume 11, issue 1, 2007, Pages 65~74
The algorithmic idea has been a kind of necessary mathematics quality for modern people in this information society. In China the algorithm was represented fully as one of the new mathematics contents in the secondary level for the first time when The Standards of Mathematics Curriculum for the Senior High School was promulgated in 2003, so the research about the teaching algorithm undoubtedly has its practical implications for mathematics education. In this paper, with the conceptual framework of The Mathematics Task Framework as the research tool, an algorithmic teaching case based on LOGO software was introduced in detail, and data by ways of observations, interviews and worksheets were collected, then the case was analyzed. The results showed that the teaching of algorithm is feasible and effective in the LOGO environment. Some beneficial implications about the instructional design of algorithm were also discussed.
Misunderstandings and Difficulties in Learning Sequence and Series: A Case Study
Akgun, Levent ; Duru, Adem ;
Research in Mathematical Education, volume 11, issue 1, 2007, Pages 75~85
This paper analyzes the difficulties with the learning of sequence and series of the second-year students who participated in a year long whole class at the university level. The research was carried out at the end of students' third semester. These students were randomly selected. They were applied to one paper and pencil test containing eight task items on sequence and series. In this study, qualitative method (case study design) was used to explore students' difficulties and misunderstandings in learning sequence and series. Students' responses to the questions were divided into three categories: These were "correct", "partial correct" and "false or no responses". Students' responses to the paper and pencil test were evaluated. The results show that students had difficulties and misunderstandings in series and sequence.