• School Mathematics
• /
• v.10 no.4
• /
• pp.583-601
• /
• 2008

The creative productivity is regarded as an essential factor to perform the gifted education. While it is very important to cultivate and to expand a creative productivity through mathematically problem solving in gifted education, we have difficulties in actual education of the (mathematically) gifted, even are there few researches/studies which deal with teaching and guiding the creative problem solving in mathematically gifted education, it is hard to find a guideline that provides proper ways (or directions) of learning-instruction and evaluation of the mathematically gifted. Therefore in this study, the researcher would provide a learning-instruction model to expand a creative productivity. The learning-instruction model which makes the creative productivity expanded in mathematically gifted education is developed and named MG-CPS(Mathematically Gifted-Creative Problem Solving). Since it reflected characteristics of academic- mathematical creativity and higher thinking level of the mathematically gifted, this model is distinguished from general CPS. So this model is proper to provide a learning experience and instruction to the mathematically gifted.

• Communications of Mathematical Education
• /
• v.10
• /
• pp.461-485
• /
• 2000

21세기 정보화 시대에는 알고 있는 지식의 대부분이 짧은 생성 주기를 가지게 되어, 다양한 변화의 시대가 될 것으로 예상하며 우리는 이것을 체험하고 있다. 열린수업에 대한 연구가 끝나기도 전에 수준별수업, 이번에는 멀티미디어 수업, 올해는 수행평가와 체험수업 등으로 다양한 변화를 권장받고 있다. 그리고 변화는 더욱 가속될 것이며, 또 다른 새로운 이름의 학습모형이 계속해서 나올 것이지만 그래도 일관된 방향성을 찾는다면, 가르친다는 것이 '지식의 전달'에 근거한 권위적인 모델로부터 '배움의 자극'을 제공하는 학생중심의 수업으로, 개별적인 학습활동과 더불어 소집단 공동학습활동을 중시하여, 발표${\cdot}$토의 활동과 관찰, 조사 등의 자기주도적인 학습능력과 협력 학습능력을 배양하는 쪽으로 바뀌어 가는 것이다. 다음의 예는 구서여자중학교 중심 MathPower 교과연구회에서 수행하고 있는 수학적 힘을 기르는 몇 가지 방법으로, 수학적 개념을 가르치는데 가장 적절한 예는 아닐 수도 있지만, ${\cdot}$ 학습수준을 고려한 교양으로서의 수학. ${\cdot}$ 협동적으로 사고하고 문제를 해결하는 의사소통 수단으로서의 수학. ${\cdot}$ 창의성과 인재에 중점을 둔 수학. 교육으로, 다양한 학습자료의 제작 및 활용으로 교실이 다른 사람과 협동적으로 사고하며, 수학적인 아이디어를 나누는 장소가 되어, 가슴이 따뜻하며, 재기발랄한 아이들이 IQ와 EQ, 그리고 창의력을 두루 맛볼 수 있었으면 하는 바램으로 정리한 것입니다.

• Communications of Mathematical Education
• /
• v.26 no.1
• /
• pp.109-135
• /
• 2012

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Teacher Knowledge. The purposes of development of evaluation standards for mathematics teaching through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those studies focused on the knowledge of subject matter knowledge, knowledge of learners' understanding, teaching and learning methods and assessments, and teaching contexts. For this purpose, the part of subject matter knowledge was consisted of four evaluation domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value. The part of Learners' unders tanding included the evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies. The part of teaching methods and evaluation was consisted of seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. Also, the part of teaching context was consisted of four evaluation domains such as application of instructional tools and materials, commercial manipulatives, environment of classroom including distribution and control of class group, atmosphere of classroom, management of teaching contexts including management of student. According to those evaluation domains of each teacher knowledge, elements on teaching evaluation focused on the teacher's knowledge were established using the instructional evaluation framework, which is developed in this study, including the four areas of obtaining, planning, acting, and reflecting.

• The Mathematical Education
• /
• v.43 no.2
• /
• pp.163-175
• /
• 2004

We believe new assessment strategies and practices need to be developed that will enable teachers and others to assess students' performance in a manner that reflect the 7th Korean curriculum reform vision for school mathematics. This research was conducted to develop the assessment tasks based on the current literatures such as National Council of Teachers of Mathematics (1999) and Korea Institute of Curriculum & Evaluation(KICE, 2002, 2003) in quadratic functions of the secondary school and to find the effect of these tasks by classifying students' responses. The research instrument were composed of three criteria, the previous knowledge, the application of quadratic functions, and the general properties in functions. The research data were collected from 32 high school students in a suburb of Seoul and sorted by their similarities and differences in mathematical understanding. Through the research, we could know more than ever before about how the students learned mathematics and about how to improve teachers' mathematical instruction.

• Journal of the Korean School Mathematics Society
• /
• v.24 no.1
• /
• pp.19-38
• /
• 2021

The purpose of this study is to examine pre-service teachers' noticing when evaluating peers' mathematical problem posing tasks. To this end, 46 secondary pre-service teachers were asked to create real-world problems related to permutation and combination and randomly assigned to evaluate peers' problems. As a result, the pre-service teachers were most likely to notice the difficulty of their peers' mathematics problems. In particular, the pre-service teachers tended to notice particular conditions in order to increase the difficulty of a problem. In addition, the pre-service teachers noticed the clarity of a question and its solution, novelty of the problem, the natural connection between real-world contexts and mathematical concepts, and the convergence between mathematical concepts.

• Journal of the Korean School Mathematics Society
• /
• v.4 no.1
• /
• pp.9-27
• /
• 2001

The purpose of this study is to develop effective models for performance assesment in the subject of mathematics, In this study, a procedural model was created through selecting five evaluation methods that are the most relevant to evaluate mathematics comprehension. Also this study provides the application of procedural model over the span of an academic semester.

• Journal of the Korean School Mathematics Society
• /
• v.3 no.1
• /
• pp.79-90
• /
• 2000

• The Mathematical Education
• /
• v.43 no.2
• /
• pp.151-162
• /
• 2004

For the past several years, performance assessment has been widely used by mathematics teachers. The superiority of performance assessment items compare to multiple choice items has been discussed by many researchers, however these discussions tend to be lack of empirical data. Thus, this study aims to examine the effectiveness of tree response items in comparison with multiple choice items. Using the information function in Item Response Theory(IRT), item information of free response items and multiple choice items from the Third International Mathematics and Science Study-Repeat(TIMSS-R) were obtained and compared. Test informations of the whole mathematics area as well as each content area of mathematics were computed. On average, tree response items yielded more information than multiple choice items, especially in measurement and data interpretation. This study also revealed that free response items estimated students' mathematics ability more accurately than multiple choice items with smaller number of items.

• Journal of the Korean School Mathematics Society
• /
• v.13 no.1
• /
• pp.45-67
• /
• 2010

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including Subject Matter Knowledge between 2007 and 2008. The purpose of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. Especially, the standards on mathematics teaching evaluation were developed based on the standards on general teaching evaluation. In this study, the standards were revised and modified by analyzing the results of those studies (namely, evaluation standards) focused on SMK. For this purpose, four domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value were new established based on the theories relevant to SMK and on the base of these four domains, standards or elements on teaching evaluation focused on SMK were reconstructed.

• The Mathematical Education
• /
• v.63 no.1
• /
• pp.1-18
• /
• 2024

This study aims to analyze low-performing high school students' difficulties in constructed response (CR) mathematics assessments and explore ways to use writing activities to support student learning. The participants took CR assessments, engaged in guided writing activities across 15 lessons, and provided responses to our interviews. The study identified 20 types of student difficulties, which were sorted into two main categories: "mathematical difficulties" and "CR difficulties." The difficult nature of mathematics as a school subject included a lack of understanding of mathematical concepts, students' difficulty with mathematical symbols and notations, and struggles with word problems. Challenges specific to CR assessments included students' difficulties arising from the testing conditions unlike those of multiple-choice items, and included issues related to constructing appropriate responses and psychological barriers. To address these challenges in CR assessments, the study conducted guided writing activities as an intervention, through which six themes were identified: (1) internalization of mathematical concepts, (2) mathematical thinking through relational understanding, (3) diverse problem-solving methods, (4) use of mathematical symbols, (5) reflective thinking, and (6) strategies to overcome psychological barriers.