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Statistics and probability in high school.
Statistics and probability are fascinating fields, tightly interwoven with the context of the problems which have to be modelled. The authors demonstrate how investigations and experiments provide promising teaching strategies to help high-school students acquire statistical and probabilistic litera...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Rotterdam, The Netherlands ; Boston :
Sense Publishers,
[2016]
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- TABLE OF CONTENTS; PREFACE; CHAPTER 1: EDUCATIONAL PRINCIPLES FOR STATISTICS AND PROBABILITY; 1.1. INTRODUCTION; 1.2. FUNDAMENTAL IDEAS IN STATISTICS AND PROBABILITY; 1.2.1. Exploratory Data Analysis (Chapter 2); 1.2.2. Modelling Information by Probabilities (Chapter 3); 1.2.3. Exploring and Modelling Association (Chapter 4); 1.2.4. Sampling and Inference (Chapter 5); 1.3. COMPLEMENTARY VIEWS OF STATISTICS AND MATHEMATICS; 1.4. THE ROLE OF TECHNOLOGY; 1.5. ADAPTING THE LEVELS OF FORMALISATION TO THE DIVERSITY OF STUDENTS; 1.6. STATISTICAL AND PROBABILISTIC LITERACY.
- 1.6.1. Statistical Literacy1.6.2. Statistical Literacy Components; 1.6.3. Actions and Resources Directed to Increase Statistical Literacy; 1.7. STATISTICAL AND PROBABILISTIC THINKING; 1.7.1. Statistical Thinking; 1.7.2. The Statistical Investigation Cycle; 1.7.3. Fundamental Types of Statistical Thinking; 1.7.4. Components of Probabilistic Thinking; 1.8. MAKING SENSE OF STATISTICS AND PROBABILITY; 1.9. STATISTICAL INVESTIGATIONS AND EXPERIMENTS; 1.10. FINAL THOUGHTS; CHAPTER 2: EXPLORATORY DATA ANALYSIS; 2.1. INTRODUCTION.
- 2.2. A TEACHING SITUATION TO INTRODUCE ELEMENTARY STATISTICAL CONCEPTS AND PROCEDURES2.2.1. Starting Questions; 2.2.2. Exploring Qualitative Variables; 2.2.3. Exploring Numerical Variables; 2.2.4. Comparing Groups; 2.3. ADDITIONAL ACTIVITIES; 2.3.1. Exploring Continuous Variables; 2.3.2. Exploring Bivariate Relationships; 2.4. SYNTHESIS OF LEARNING GOALS; 2.4.1. Distribution and Different Types of Frequencies; 2.4.2. Simple Univariate Graphs; 2.4.3. Simple Summary Statistics; 2.4.4. Spirit of Exploratory Data Analysis (EDA); 2.4.5. Basic Strategies in Data Exploration.
- 2.5. STUDENTS' REASONING AND POTENTIAL DIFFICULTIES2.5.1. Graphical Competencies and Communication Skills; 2.5.2. Errors in Producing Graphs; 2.5.3. Understanding Measures of Central Tendency or Centre; 2.5.4. Understanding Spread; 2.5.5. Understanding Order Statistics; 2.6. ADDITIONAL RESOURCES; 2.6.1. Journals and Books; 2.6.2. Data Sets; 2.6.3. Internet Resources; APPENDIX: DATA; CHAPTER 3: MODELLING INFORMATION BY PROBABILITIES; 3.1. INTRODUCTION; 3.2. TEACHING SITUATIONS TO CHARACTERISE PROBABILITY; 3.2.1. Frequentist Probability: Investigating Coin Tossing.
- 3.2.2. Subjectivist Probability: The Insurance Contract3.2.3. Laplace (A Priori) Probability: Calibrating Weights of Evidence; 3.3. TEACHING SITUATIONS INTRODUCING CONDITIONAL PROBABILITY; 3.3.1. Conditional Probability and Circumstantial Evidence; 3.3.2. Conditional Probability and Compound Probability; 3.4. ADDITIONAL TEACHING ACTIVITIES; 3.4.1. Random Variables; 3.4.2. Additivity of Expected Value and Variance for Repeated Experiments; 3.4.3. Distribution Models for Standard Situations; 3.4.4. Central theorems; Central Limit Theorem; 3.5. SYNTHESIS OF LEARNING GOALS.