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研究生: 伊凱蒂
Khairiani Idris
論文名稱: Opportunity to Learn Data Distribution through Reading Statistics Texts Written in English as a Second Language for Indonesian Pre-Service English as a Foreign Language Teachers
Opportunity to Learn Data Distribution through Reading Statistics Texts Written in English as a Second Language for Indonesian Pre-Service English as a Foreign Language Teachers
指導教授: 楊凱琳
Yang, Kai-Lin
學位類別: 博士
Doctor
系所名稱: 數學系
Department of Mathematics
論文出版年: 2017
畢業學年度: 106
語文別: 英文
論文頁數: 283
中文關鍵詞: College statisticsValues on the learning of statisticsConceptions of statisticsText accessibilityTextbook analysisReading to learnReading materials
英文關鍵詞: College statistics, Values on the learning of statistics, Conceptions of statistics, Text accessibility, Textbook analysis, Reading to learn, Reading materials
DOI URL: https://doi.org/10.6345/NTNU202201919
論文種類: 學術論文
相關次數: 點閱:133下載:28
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    The ability to understand statistical information written in English is prominent given the global status of English and the importance of statistics to understand data, variation and chance which are omnipresent in modern life. Furthermore, college students might need to read and understand statistical results of research in their field of study, while English continues to be the preferred language of scientific communication in most published articles. The main purpose of this research was to investigate the issue concerning the opportunities of learning through reading statistics texts written in English as a second language for Indonesian pre-service English as a Foreign Language (EFL) teachers by taking two components of reading, i.e., reader and text, and the interaction between the two. Accordingly, three studies were compiled to reach the purpose. Initially, Indonesian pre-service EFL teachers’ views on statistics were explored in study one, which involved their values on the learning and conceptions of statistics. Study two concerned on statistics text, in which a framework for analyzing the accessibility of statistics text was developed and subsequently utilized to analyze two versions of college statistics textbooks. By taking the components under one of the accessibility attributes proposed in study two, i.e., the integration of verbal and visual information, six versions of statistics reading materials were designed. Subsequently, study three explored the relationships between different versions of statistics reading materials and students’ reading comprehension. Findings from study one revealed that almost all Indonesian pre-service EFL teachers in this study acknowledged the utility of statistics, yet only 60% of them had a positive intrinsic value in learning the course. Conflicting beliefs expressed by both positive and negative intrinsic value were also found on some students. Meanwhile, three types of conceptions of meanings of data were found underlying the six categories and the three factors of conceptions of statistics: data as numerical numbers, data as numbers in problem contexts; data as information for investigation. Additionally, an instrument for measuring conceptions of statistics was developed and validated in this study. Findings from study two proposed five accessibility attributes of statistics texts, which might reveal not only the strengths and weakness of statistics texts for particular readers, but also to what extent the content knowledge of statistics is presented in the textbooks. The textbooks analysis conducted using the framework revealed several different characteristics between English and Indonesian version textbooks. Indonesian textbook more likely emphasizes on a knowledge-based view of statistics, in which statistical basic knowledge and data as numerical numbers with or without contexts are presented dominantly. English version presents both knowledge based and problem solving views of statistics and more dominantly addresses data as numbers in problem contexts or data as information for investigation. Findings from study three revealed that the verbal information in form of data scales provided on boxplot hinder students reading comprehension. Moreover, providing not scaled-labeled boxplots by sequencing the boxplot before the corresponding verbal information was more favorable for reading comprehension. The implications of the findings and further research were discussed.

    ACKNOWLEDGEMENT i ABSTRACT iv TABLE OF CONTENTS vi LIST OF TABLES xi LIST OF FIGURES xiii LIST OF APPENDICES xiv CHAPTER ONE INTRODUCTION TO STUDY 1 1.1 Background of study 1 1.1.1 Role of statistics for pre-service teachers 1 1.1.2 Views on statistics and the learning of statistics 3 1.1.3 Learning statistics through reading 4 1.1.4 Reading statistics text written in English as a second language 6 1.2 Statement of problem 8 1.3 Purpose of study 9 1.4 Research questions 10 1.4.1 Research questions for study one 10 1.4.2 Research questions for study two 10 1.4.3 Research questions for study one 11 1.5 Contributions of study 11 1.5.1 Contribution from reader component 12 1.5.2 Contributions from the text component 13 1.5.3 Contributions from the relationship of reader and text 14 1.6 Chapter preview 15 CHAPTER TWO LITERATURE REVIEW 17 2.1 Statistical literacy for college students 17 2.1.1 Definition of statistical literacy 17 2.1.2 Statistical literacy as a goal in college statistics 20 2.1.3 Research on statistical literacy of college students 22 2.2 Learning in college statistics 24 2.2.1 Factors influencing learning statistics 24 2.2.1.1 Linguistic factors 24 2.2.1.2 Basic mathematics skills 25 2.2.1.3 Values on learning statistics 26 2.2.1.4 Conceptions of statistics 30 2.2.2 Topic of data distribution 32 2.2.2.1 Student understanding of data distribution 34 2.2.2.2 Factors influencing understanding of data distribution 36 2.2.2.3 Boxplots and students’ misinterpretations 37 2.3 Teaching in college statistics 39 2.3.1 Current research on instructional methods in college statistics 39 2.3.2 Teaching materials for college statistics 43 2.3.2.1 Aspects of statistics contents 44 2.3.2.2 Text analysis in college statistics education 47 2.4 Models of reading comprehension 48 2.4.1 Construction Integration theory 48 2.4.1.1 The process of comprehension: construction and integration 49 2.4.1.2 Levels of representation 50 2.4.1.3 Microstructure and macrostructure 51 2.4.1.4 Cohesion, coherence, and the situation model 51 2.4.2 Dual coding theory 51 2.5 Content area reading 53 2.5.1 Five attributes of text accessibility for science text 54 2.5.2 Critical components related to the readability of mathematics texts 56 2.5.3 Combination of verbal and visual information for text comprehension 58 2.6 Content and language integrated learning (CLIL) 59 2.6.1 Issues from CLIL in Mathematics and Science 60 2.6.1.1 Learning outcome in CLIL classroom 60 2.6.1.2 Teaching in CLIL classroom 61 2.7 Issues for exploration in the present study 62 CHAPTER THREE METHODOLOGY 65 3.1 Study one: Views on statistics 67 3.1.1 Values on learning and conceptions of statistics 67 3.1.1.1 Participants 67 3.1.1.2 Data collection 69 3.1.1.3 Data analysis 71 3.1.2 Developing and validating instrument 73 3.1.2.1 Participants 73 3.1.2.2 Data collection and analysis 74 3.2 Study two: Textbook analysis 74 3.2.1 Development of analytical framework 75 3.2.1.1 Determining components for accessibility attributes 76 3.2.2 Textbook analysis 77 3.2.2.1 Selecting textbooks to be analyzed 77 3.2.2.2 Determining units of analysis 78 3.2.2.3 Topics focused in the analysis 80 3.2.2.4 Development of a coding scheme 81 3.2.2.5 Exemplary coding procedure 91 3.2.2.6 Reliability of coding 98 3.3. Study three: reading comprehension of statistics texts 99 3.3.1 Participants 100 3.3.2 Design 100 3.3.3 Materials 100 3.3.3.1 Statistics reading materials 101 3.3.3.2 Reading comprehension test 103 3.3.3.3 Prior knowledge in statistics 104 3.3.3.4 Competency in English 106 CHAPTER FOUR FINDINGS OF STUDY ONE: VIEWS ON STATISTICS 109 4.1 Values on the learning and conceptions of statistics 109 4.1.1 Overview 109 4.1.2 Indonesian pre-service EFL teachers’ values on learning and conceptions of statistics 110 4.1.2.1 Three components of values on learning statistics 110 4.1.2.2 Relationships among components of values on learning statistics 113 4.1.3 Indonesian pre-service EFL teachers’ conceptions of statistics 115 4.1.3.1 Six categories of conceptions of statistics 117 4.1.4 Relationships between conceptions of statistics and values on the learning of statistics 121 4.1.5 Discussions 124 4.1.5.1 Values on the learning of statistics 124 4.1.5.2 Features of pre-service EFL teachers’ conceptions of statistics 129 4.1.5.3 The relationships of positive values and conceptions of statistics 131 4.2 Development and validation of conceptions of statistics instrument 131 4.2.1 Overview 131 4.2.2 Piloting stage 132 4.2.3 Modelling stage 133 4.2.4 Discussions 137 4.2.4.1 The meaning of three factors of conceptions of statistics 137 4.2.4.2 Conceptions of data 137 4.2.4.3 Limitations of study 139 4.2.5 Conclusion 140 4.4 Summary of study one 140 CHAPTER FIVE FINDINGS OF STUDY TWO: TEXT ANALYSIS 143 5.1 Framework development 143 5.1.1 Overview 143 5.1.2 Accessibility attributes of statistics texts 144 5.1.2.1 Concreteness of text 144 5.1.2.2 Voice of author 145 5.1.2.3 Text coherence 146 5.1.2.4 Selective use of visual information 147 5.1.2.5 Integration of visual and verbal information 147 5.1.3 Discussions 150 5.2 Textbook analysis 151 5.2.1 Overview 151 5.2.2 The sequence of concepts under data distribution 151 5.2.3 Presentation of text goals 151 5.2.4 Presentation of accessibility attributes of statistics texts 154 5.2.4.1 Text concreteness 154 5.2.4.2 Voice of author 159 5.2.4.3 Text coherence 163 5.2.4.4 Selective use of visual information 169 5.2.4.5 Integration of visual and verbal information 173 5.2.5 Discussions and conclusions 180 5.2.5.1 Text concreteness 180 5.2.5.2 Voice of author 181 5.2.5.3 Text coherence 184 5.2.5.4 Selective use of visual information 185 5.2.5.5 Integration of visual and verbal information 186 5.3 Summary of study two 187 CHAPTER SIX FINDINGS OF STUDY THREE: READING COMPREHENSION OF STATISTICS TEXTS 189 6.1 Overview 189 6.2 Effects of sequence and information on reading comprehension 190 6.3 Effects of sequence and information on reading comprehension controlled by prior knowledge in statistics and English competency 192 6.3.1 Effects of types of sequence 193 6.3.2 Effects of types of information 194 6.4 Discussions 195 6.5 Summary of study three 199 CHAPTER SEVEN CONCLUDING REMARKS 201 7.1 Summary of findings 201 7.1.1 Characteristics of Indonesian pre-service EFL teachers’ views on statistics 201 7.1.2 Characteristics of Indonesian statistics textbooks and its crucial differences with English textbooks 202 7.1.3 Effects of different versions of reading materials on reading comprehension 203 7.2 Implications and further research 204 7.2.1 Views on statistics and text analysis 204 7.2.2 Text analysis and relationship between text and reading comprehension 206 7.2.3 Views on statistics and relationship between text and reading comprehension 207 7.2.4 Views on statistics, text analysis, and relationship between text and reading comprehension 208 REFERENCES 210 APPENDICES 231

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