• Research in Mathematical Education
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• v.16 no.4
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• pp.265-276
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• 2012

These days, with the emphasis on statistical literacy, the importance of communication is the focus of attention. Communication about statistics is important since it is a way of describing the understanding of concepts and the interpretation of data. However, students usually have trouble with expressing what they understand, especially through writing. In this paper, we examined preservice teachers' difficulties when they wrote about statistical concepts. By comparing preservice teachers' written responses and interview transcripts of the variance concept task, we could find the missing information in their written language compared to their verbal language. From the results, we found that preservice teachers had difficulty in connecting terms contextually and conceptually, presenting various factors of the concepts that they considered, and presenting the problem solving strategies that they used.

• Research in Mathematical Education
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• v.15 no.2
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• pp.127-140
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• 2011

"Statistical literacy" is important to be an effective citizen ([Gal, I. (2005). Towards "probability literacy" for all citizens: Building blocks and instructional dilemmas. In: G. A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning (pp. 39-63). New York: Springer]). Probability and statistics has been connected with real context and can be used to stimulate students' creative abilities. This study aims at identifying the extent that textbooks in three countries include experimental probability concepts and non-routine, open-ended, application and contextual problems. How well textbooks reflect real application situations is important in the sense that students can employ probability concepts when solving real world problems. Results showed that three textbook series did not mention experimental probability. Furthermore, all of text-books had more routine, close-ended, knowing, and non-contextual problems.

• The Mathematical Education
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• v.58 no.4
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• pp.507-518
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• 2019

The OECD launched the Education 2030 project to develop a learning framework and to conduct the international comparative study on curriculum. As a part of the OECD international curriculum analysis, Korea Institute for Curriculum and Evaluation(KICE) conducted a main study of Curriculum Content Mapping (hereafter, CCM) in the 7 learning areas/subject areas such as national languages, mathematics, humanities/social sciences, natural science, physical education/health, arts, and technologies. The CCM study aimed to identify how the competencies on CCM framework were reflected in the Korea curriculum. For this purpose, KICE identified the competencies on CCM framework, revised the coding framework, and undertook the mapping process. In this study, we gathered the CCM data as an evidence of how competencies on CCM framework were embedded in the 2015 revised mathematics curriculum. For this purpose, experts in mathematics education undertook the mapping process, we summarized the results of CCM main study in mathematics. As the results, numeracy, critical thinking, problem solving, anticipation, action, reflection were perfectly embedded in the 2015 revised mathematics curriculum. the competencies on CCM framework were embedded in the 2015 revised mathematics curriculum, and but literacy, physical/health literacy, trust, learning to learn, reconciling tension and dilemmas, literacy for sustainable development, financial literacy, and entrepreneurship/enterprising were not clearly related to mathematics curriculum. The mapping results should help the Korea Ministry of Education and KICE for preparing the future curriculum revision and development.

• Education of Primary School Mathematics
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• v.12 no.1
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• pp.31-38
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• 2009

This paper aims to develop a program which cultivates statistical ability for elementary students. For this purpose, I examined the relationship between mathematical thinking and statistical thinking. I developed statistical programs including classification, discussion of data, generating statistical problem and project program. As result, this study suggests implications for further elementary statistical education.

• Research in Mathematical Education
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• v.11 no.2
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• pp.127-141
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• 2007

This paper compares and analyzes mathematics teachers' understanding of students' mathematical comprehension after experiences with the Cognitively Guided Instruction (CGI) or the Development of Mathematical Ideas (DMI) teaching strategies. This report sheds light on current issues confronted by the educational system in the context of mathematics teaching and learning. In particular, the declining rate of mathematical literacy among adolescents is discussed. Moreover, examples of CGI and DMI teaching strategies are presented to focus on the impact of these teaching styles on student-centered instruction, teachers' belief, and students' mathematical achievement, conceptual understanding and word problem solving skills. Hence, with a gradual enhancement of reformed ways of teaching mathematics in schools and the reported increase in student achievement as a result of professional development with new teaching strategies, teacher professional development programs that emphasize teachers' understanding of students' mathematical comprehension is needed rather than the currently dominant traditional pedagogy of direct instruction with a focus on teaching problem solving strategies.

• Journal of Educational Research in Mathematics
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• v.25 no.2
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• pp.157-175
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• 2015

This study was conducted with the aim to develop and improve the assessment literacy of teachers which enables it to develop and utilize the assessment items using a wide range of contexts on the basis of an understanding of math contents and mathematical process specified in the math curriculum and to analyze the results in an effective way. To analyze the changes in the development and improvement of the assessment literacy of preservice math teachers, the author of this study, using PISA items and assessment framework, analyzed the changes through the 1st and 2nd development of assessment items. The results showed the assessment literacy of preservice math teachers and their ability have been improved, implying that there is the necessity to develop a wide range of programs to improve the assessment literacy of preservice math teachers and provide such programs on a regular basis, which will facilitate effective math teaching and learning.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.527-542
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• 2016

In the mathematics curriculum that was revised in 2009, statistical literacy is explicitly addressed as a goal and specific objectives are included. However, statistical literacy has not been addressed in the studies on KSAT. This study aimed to draw implications on how to improve KSAT in a sense that statistical literacy could be evaluated instead of testing typical facts or skills by comparing KSAT with SAT. We used mathematical problem solving process and category of context of PISA framework (OECD, 2013) to administer the comparison of KSAT and SAT. Result shows that both KSAT and SAT use various context, but items in KSAT is limited in assessing critical understanding. We suggested several ways to develop context-based items for KSAT in which statistical literacy could be assessed.

• Education of Primary School Mathematics
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• v.21 no.4
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• pp.397-413
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• 2018

The purpose of this study is to analyze the level of statistical literacy among fifth and sixth graders in the data presentation task based on the speculative data generation process. For the research, the data presentation tasks based on the speculative data generation process was designed and statistical literacy standards for evaluating the student's level was presented based on prior studies. It is meaningful that the stepwise presentation of the students' statistical literacy and analysis of their developmental patterns can help them to find their current position and reach a higher level of performance. In this study, the standard of statistical literacy level was clarified based on the previous research, and a new perspective was presented about the data presentation instruction in the statistical education by analyzing the students' responses by each level.

• Education of Primary School Mathematics
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• v.22 no.3
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• pp.149-166
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• 2019

The purpose of this study is to analyze the statistical literacy in elementary school students when they beginning inference. Picto-graphs provide statistical information and often data-related arguments they certainly qualify as objects for interpretation, for critical evaluation, and for discussion or communication of the conclusions presented. For research, the inference from pictograph task was designed and statistical literacy standards for evaluating the student's level was presented based on prior studies. Evaluating student's statistical literacy is meaningful in that it can check their current level. To know the student's current level can help them achieve a higher level of performance. The outcomes of this research indicate that pictograph can provide a basis for rich tasks displaying not only student's counting skills but also their appreciation of variation and uncertainty in prediction. Raising statistical thinking by students is an important goal in statistical education, and the experience of informal statistical reasoning can help with formal statistical reasoning that will be learned later. Therefore, the task about the inference from a pictograph, discussions on statistical learning of elementary school children are expected to present meaningful implications for statistical education.

• Communications of Mathematical Education
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• v.37 no.4
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• pp.717-736
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• 2023

The purpose of this study is to develop a statistical program using data and artificial intelligence prediction models and apply it to one class in the sixth grade of elementary school to see if it is effective in improving students' statistical literacy. Based on the analysis of problems in today's elementary school statistical education, a total of 15 sessions of the program was developed to encourage elementary students to experience the entire process of statistical problem solving and to make correct predictions by incorporating data, the core in the era of the Fourth Industrial Revolution into AI education. The biggest features of this program are the recognition of the importance of data, which are the key elements of artificial intelligence education, and the collection and analysis activities that take into account context using real-life data provided by public data platforms. In addition, since it consists of activities to predict the future based on data by using engineering tools such as entry and easy statistics, and creating an artificial intelligence prediction model, it is composed of a program focused on the ability to develop communication skills, information processing capabilities, and critical thinking skills. As a result of applying this program, not only did the program positively affect the statistical literacy of elementary school students, but we also observed students' interest, critical inquiry, and mathematical communication in the entire process of statistical problem solving.