• School Mathematics
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• v.15 no.4
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• pp.743-758
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• 2013

This paper analyses the examples of polygons taken in the 1st grade middle school mathematics textbooks. We analysed generic examples, non-examples and counter-examples represented in these textbooks. And also we classified and analysed with examples of the concept and the application of a procedure. We analysed the differences of methods among these textbooks representing the same concepts or procedures. The findings from the analysis showed that these textbooks mostly make use of generic examples. The examples of concept and procedure vary depending upon the textbooks. Also, many textbooks haven't properly represented various positions and figures of polygons. Textbooks need to represent various and appropriate examples in order to expand the example space of the students.

• Education of Primary School Mathematics
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• v.23 no.1
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• pp.27-44
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• 2020

In this study, we extracted geometrical learning content that is treated similarly in elementary and middle schools, and analyzed the differences between how this study is handled in elementary and middle schools. The analysis tools used in this study were developed by referring to the research results presented by Merrill. Merrill classified the study results into two dimensions: 'performance level' and 'content type', and 'teach station' and 'proposal type' by presenting the contents in the textbook. Based on this classification, this study was conducted. According to the results of the study, nine achievement criteria were extracted as learning factors that were treated similarly in elementary and middle schools. The extracted learning elements were systematically analyzed through analysis tools. The results of this study are expected to provide significant implications for the improvement of mathematics learning and for the improvement of new curricula.

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.281-302
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• 2015

In the current study, answer sheets from 8007 students in 236 Korean schools were selected and analyzed to examine errors that emerge in the process of solving descriptive questions of the National Educational Achievement Assessment in mathematics. Questions used in the analysis were response assessment covering middle school mathematics topics: "mathematical symbols and equations" and "functions." The behavioral domain of the questions was that of "problem solving and computation," which requires establishing an equation for a word problem and allows the calculation of an answer that meets a certain condition. The analysis results revealed various errors in each stage of each question, from understanding to solving; the study attempts to conjecture causes for these errors and draw pedagogical implications.

• Research in Mathematical Education
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• v.12 no.2
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• pp.85-108
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• 2008

In this study, we created, implemented, and evaluated the impact of proportional reasoning authentic investigative activities on the mathematical content and pedagogical knowledge and attitudes of pre-service elementary and middle school mathematics teachers. For this purpose, a special teaching model was developed, implemented, and tested as part of the pre-service mathematics teacher training programs conducted in Israeli teacher colleges. The model was developed following pilot studies investigating the change in mathematical and pedagogical knowledge of pre- and in-service mathematics teachers, due to experience in authentic proportional reasoning activities. The conclusion of the study is that application of the model, through which the pre-service teachers gain experience and are exposed to authentic proportional reasoning activities with incorporation of theory (reading and analyzing relevant research reports) and practice, leads to a significant positive change in the pre-service teachers' mathematical content and pedagogical knowledge. In addition, improvement occurred in their attitudes and beliefs towards learning and teaching mathematics in general, and ratio and proportion in particular.

• The Mathematical Education
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• v.52 no.2
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• pp.129-147
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• 2013

The Ministry of Education Science and Technology represented National Mathematics Education Advance Plan in 2012. The plan is focused on reinforcing mathematics education, improving understanding about mathematics, and enhancing self-guided learning. After the National Mathematics Education Advance Plan new middle school mathematics textbooks have been developed and they will be used from 2013. The purpose of this study is to analyse those mathematics textbooks to find how the National Mathematics Education Advance Plan is affected to the mathematics textbooks. This study found some important aspects affected from the Advance Plan to those textbooks and some implications for the future Korean mathematics education.

• Journal for History of Mathematics
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• v.22 no.2
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• pp.117-130
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• 2009

This study shows how to use effectively construction and solution of the quadratic equation developed by mathematicians such as Gyung Sun-jing, Hong Jung-ha, Hong Dae-yong, Lee Sang-hyuk, and Nam Byung-gil through mathematics history of Chosun Dynasty. Mathematics history of Chosun Dynasty can be used in order to enhance comprehension and increase interest in an introduction to the quadratic equation. It also can be used to help motivate middle school students to solve the quadratic equation with much interest during the development phase, and develope conceptual thinking and reflective thinking in the practical phase.

• Journal of the Korean Data and Information Science Society
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• v.16 no.3
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• pp.603-608
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• 2005

The purpose of this qualitative case study is to understand how the idea of data view and information graphics is used in the social studios middle school textbooks. Data were collected through national curriculum documents and social studies middle textbooks for 7-9 grades. We set up three questions for this studies; what kinds of information graphics are used in the textbooks, how the graphics are organized in the social studies middle school, and how the 7th social studies curriculum is related with the 7th national mathematics curriculum. Through the data analysis, we found that 1) Photographs, illustrations, information maps, etc., are used and frequencies of their usages are in descending order, 2) double lines graphs, circle graphs, and stripe graphs nip often adopted for the comparison of populations, 3) the relation of the two subjects curricula is not so good, especially in the curriculum steps of information mads scatter diagrams, and comparison of populations. Finally we suggest that new web site of data view or information graphics be provided for two curricula, workshop of information graphics are needed for social studies teachers.

• Journal of the Korean School Mathematics Society
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• v.23 no.4
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• pp.469-489
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• 2020

Middle school students are known to have high levels of math anxiety. According to the need for test tools that reflect the characteristics of today's middle school students, it was intended to develop a mathematical anxiety test for middle school students. Sub-factors of mathematical anxiety were established based on prior research and questions corresponding to each factor were produced. The suitability and validity of the questions were analyzed through two pilot tests. Then some of the questions were revised. This test was conducted on 255 middle school students using the revised questions, and the validity and reliability of the test tools were analyzed on 246 student responses. The final developed test tool consisted of 6 sub-factors and a total of 36 questions, and was intended to provide students, teachers, and parents with information about students' mathematical anxiety by providing criteria for the degree of anxiety.

• Journal of Educational Research in Mathematics
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• v.18 no.4
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• pp.455-467
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• 2008

We need to reflect the establishment of meaning and level of 'proof and argumentation in middle school mathematics'. It should be considered as human activity through communication in community. Thus, we should design instruction from this standpoint. From this point of view, we had been operated 'Geometry Inquiry Class' aimed at middle school students in eighth grade for two years to improve current geometry class in middle school. In this study, we will observe how individual students' original proof schemes are developed and accepted to the class through the process of mutual negotiation between the teacher and students. The episode with four phases begins with the initial proof schemes students have offered. Through the negotiation of class participants, it gives birth to the proof scheme unique to the current geometry classroom. Why do we pay attention to the process? It is because we think that the value of this type of instruction lies in the process of communication and mutual understanding and mutual reference, not in the completeness of the final product. This is the very appropriate proof in the middle school mathematics classroom.

• School Mathematics
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• v.1 no.2
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• pp.433-449
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• 1999

This paper introduces a branch of qualitative method, called an in-depth interview method. By collecting data from the stories of Korean middle school students and a 9th grade American girl who used Geometer's Sketchpad and various software respectively for their mathematical problem solving, the qualitative analysis leads us to understand how such software affect their lives with mathematics subject. The unique characteristics and strands of each student's utterances reflect how software plays a role of learning aid for their mathematics learning. The arm of this study is both to get a good picture of each student's self-perceived relationship to mathematics as well as to explore external and objective parameters and factors in each student's internal situations. The qualitative descriptions of the collected data help us guide the students to the points where they could develop their interests and satisfaction with subject matter better. In this way, teachers may have more realistic understandings of how students become interested and motivated by mathematics, so that they are better able to find out ways of grasping the totalities of how the use of technology is interwoven into the school curricular.