• School Mathematics
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• v.11 no.3
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• pp.335-349
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• 2009

The purpose of this study is to explore how a mathematics teacher's beliefs about mathematics and teaching and learning and mathematics and how such beliefs are related to her knowledge manifested in her mathematics instruction. The study illustrates images of teaching practice of an American mathematics teacher in middle grades mathematics classrooms. Results suggest that the teacher seems consistent in teaching in terms of her beliefs about mathematics and learning and teaching mathematics in some degrees. In particular, the teacher's beliefs affected the ways in which mathematics teacher organized and structured her lessons.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.357-371
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• 2010

This study aimed to investigate how two eighth-grade mathematics teachers' pedagogical content knowledge is manifested in their classroom instruction. A case study was conducted for the study. The results revealed similarities and differences in the teachers' knowledge manifested in their mathematics classrooms and that the two teachers had slightly different structures of pedagogical content knowledge. One teacher is more dependent on his knowledge of mathematics and knowledge of students' understanding and the other teacher on her knowledge of instructional process and, to a lesser extent, knowledge of mathematics.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.137-154
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• 2012

The purposes of this study are to develop the formative assessment program in geometry area for a 1st-grade class of middle school and to test the effect of this program. This formative assessment program was based on mathematics curriculum for the 1st graders of middle school. In addition, we examined how the 1st graders of middle school understand the geometric concepts by analyzing their response in the pretest and the posttest. This formative assessment program and the results of its analysis would be the useful information for the effective teaching and learning in geometry area for the 1st grades of middle school.

• East Asian mathematical journal
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• v.37 no.2
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• pp.265-288
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• 2021

In the 2015 revised mathematics curriculum, the system of equations is first introduced in 'Variables and Expressions' of [Middle School Grades 1-3]. Then, It is constructed that after learning the linear function in 'Functions', the relationship between the graphs of two linear functions and the systems of linear equations are learned so that students could improve the geometric representation of the systems of equations. However, in of Elective-Centered Curriculum Common Courses, Instruction is limited to algebraic manipulation when teaching and learning systems of quadratic equations. This paper presented the teaching and learning method that can improve students' mathematical connection through various representations by providing geometric representations in parallel using GeoGebra, a mathematics learning software, with algebraic solutions in the teaching and learning situation of simultaneous quadratic equations.

• Research in Mathematical Education
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• v.26 no.1
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• pp.1-17
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• 2023

Over the last three decades, there has been an increasingly strong emphasis on group-centered approaches to mathematics teaching. One primary responsibility for teachers who use group-centered instruction is to "check in", or intervene, with groups to monitor group learning and provide mathematical support when necessary. While prior research has contributed valuable insight for successful teacher interventions in mathematics group work, there is a need for more fine-grained analyses of interactions between teachers and students. In this study, we co-conducted research with an exemplary middle grade teacher (Ms. Green) to learn about fine-grained details of her intervention practices, hoping to generate knowledge about successful teacher interventions that can be expanded, replicated, and/or contradicted in other contexts. Analyzing Ms. Green's practices as an exemplary case, we found that she used exceptionally short interventions (35 seconds on average), provided space for student dialogue, and applied four distinct strategies to support groups to make mathematical progress: (1) observing/listening before speaking; (2) using a combination of social and analytic scaffolds; (3) redirecting students to task instructions; (4) abruptly walking away. These findings imply that successful interventions may be characterized by brevity, shared dialogue between the teacher and students, and distinct (and sometimes unnatural) teaching moves.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.709-722
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• 1998

This thesis is to see if the classes using problem posing is effective to improve the students' grades in math. So I set up research subjects as follow. 1. Do the classes focused on problem posing have any influence on the students' achievement\ulcorner 2. Do the classes focused on problem posing have any different influence on the students' achievement according to their levels\ulcorner 3. Do the classes focused on problem posing have any different influence on the students' achievement according to the categories in math\ulcorner I close four classes in the first grade of K middle school in Kangnung, Kangwon province for this thesis. First I divided them into two groups. Each group consisted of two classes. One is the experimental group. The other is the comparative group. The experimental group was taken classes using problem posing. The comparative group was taken classes by the traditional teaching method. And then I analyzed the difference of the achievement between two groups. As a result of this research, I came to the conclusion as follow. First, the classes focused on problem posing is more effective than traditional teaching method for the improvement of the students` achievement Second, both the classes using problem posing and the traditional teaching method doesn`t affect to the advanced students. Third, the classes using problem posing is more effective to the intermediate students and lower level students than the traditional teaching method. Especially it is very effective in teaching the students the linear equation.

• Journal of the Korean School Mathematics Society
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• v.2 no.1
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• pp.145-156
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• 1999

The purpose of this study is to consider students′ scholastic relationship in mathematics between elementary school and middle school from the 3rd grade in elementary school to the 2nd and the 3rd grades in middle school. The following are the results: 1. CONCLUSIONS 1. Students′ present scores are most closely related to those of their previous grade. The data are based on the two groups of the 3rd grade middle school students - one is honhappan(mixed students from different elementary school) and the other shinaepan(the students from the same elementary school in kong ju city). This close relation between present and previous scores in mathematics may well be reasonable since mathematics is systemized hierarchically. Among the score data in elementary school, the scores in the 5th grade are meaningfully related to present score data in mathematics. 2. Two pans (as I mentioned above, honhap and shinae) are divided into groups and their scores are traced from the 3rd grade in elementary school and the data show that the high-levelled students have little changes in their scores, but low-levelled students have dropped radically in their scores from the first grade in middle school. 3. In terms of students′ interests, students who answered, "I′m very interested in mathematics." have no distinguished characteristics in their scores while those who answered, "I have little interest in mathematics" shows a decrease in their scores. 4. Among the reasons for their lack of interests, the replies are "because of exams," "because of teaching methods," and "because of the textbooks." II. Suggestion To compensate the limitation and difficiency of this study, the foll owing is suggested for the following studies related to this one. 1. This study was limited to gathering students′ score data from female students in a small city. For a more accurate statistic a bigger population is needed as well as varied geographical and social economical area is suggested. A good idea is to study homogeneous sex groups as well as heterogeneous sex groups 2. It is easy to find out what grade is closely related to the present scores by statistical analysis, but the reasons for their relationship have to be found out through the following studies 3. There are many studies on cognitive domain in math but it is expected to have more studies on affective domain as well.

• Journal of the Korean School Mathematics Society
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• v.22 no.1
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• pp.23-45
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• 2019

The purpose of this research is to analyze the effect of storytelling teaching on the mathematical attitudes of Mathematics underachieved third-grade middle school students. 5 students with lower than 20% of math grades were selected and they were provided 36 hours of the storytelling teaching program in 18 weeks. The participant students took the mathematical attitudes questionnaires both before and after the storytelling teaching classes. As a result of the study, the mean score of the before and after questionnaires was increased, and t-test also had statistically significant results. In particular, the various details of mathematical attitudes revealed the greatest positive change in 'the application of learning technology', followed by 'interest' and 'self-study'. Therefore, we found that the storytelling teaching program has a positive effect on the mathematical attitudes of underachieved students.

• The Mathematical Education
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• v.46 no.1 s.116
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• pp.53-67
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• 2007

During the recent years at a middle level Engineering School located at the local areas in Korea, more than 20 percent of freshmen had failed at their first College Mathematics. In consequence, many of them had hard time to survive at their major curriculums. The purpose of this study is to look for the main reasons of their failure and suggest an alternation of the present curriculum. Using the responses to the questionnaires and placement test scores, we studied the characteristics of the students' Mathematical abilities and analyzed how they were related to their grades of the First College Mathematics at the end of the first semester. The mathematical ability of the students at the middle level Engineering School turned out to range from bottom to top even though most of them revealed their interests towards Mathematics. The students with low scores at the placement test were more likely to fail at their first College Mathematics. Thus we suggest that the school should open a new preparation course ahead of the First College Mathematics for those who achieve low scores at the placement test and also professors should write proper books and develop ways of teaching.

• School Mathematics
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• v.14 no.4
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• pp.565-577
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• 2012

In this study, we investigated the process of constructing the geometrical solutions to quadratic equation, through proportions between lengths of similar triangles in a dynamic environment. To do this, we provided one task to 4 ninth grades students and observed the process of the students' activities and strategies. As a result of this pilot lesson study, our research shows the advantage and possibility of geometrical method in learning and teaching quadratic equation.