Author: Brendan Kelly
Publisher: Brendan Kelly Publishing Inc.
ISBN: 9781895997194
Category : Mathematics
Languages : en
Pages : 100
Book Description
Authentic Learning Activities: Data Analysis, Statistics & Probability
Author: Brendan Kelly
Publisher: Brendan Kelly Publishing Inc.
ISBN: 9781895997194
Category : Mathematics
Languages : en
Pages : 100
Book Description
Publisher: Brendan Kelly Publishing Inc.
ISBN: 9781895997194
Category : Mathematics
Languages : en
Pages : 100
Book Description
Authentic Learning Activities: Measurement
Author: Brendan Kelly
Publisher: Brendan Kelly Publishing Inc.
ISBN: 9781895997187
Category : Mathematics
Languages : en
Pages : 100
Book Description
Publisher: Brendan Kelly Publishing Inc.
ISBN: 9781895997187
Category : Mathematics
Languages : en
Pages : 100
Book Description
Research on Teaching and Learning Probability
Author: Carmen Batanero
Publisher: Springer
ISBN: 3319316257
Category : Education
Languages : en
Pages : 40
Book Description
This book summarizes the vast amount of research related to teaching and learning probability that has been conducted for more than 50 years in a variety of disciplines. It begins with a synthesis of the most important probability interpretations throughout history: intuitive, classical, frequentist, subjective, logical propensity and axiomatic views. It discusses their possible applications, philosophical problems, as well as their potential and the level of interest they enjoy at different educational levels. Next, the book describes the main features of probabilistic thinking and reasoning, including the contrast to classical logic, probability language features, the role of intuitions, as well as paradoxes and the relevance of modeling. It presents an analysis of the differences between conditioning and causation, the variability expression in data as a sum of random and causal variations, as well as those of probabilistic versus statistical thinking. This is followed by an analysis of probability’s role and main presence in school curricula and an outline of the central expectations in recent curricular guidelines at the primary, secondary and high school level in several countries. This book classifies and discusses in detail the three different research periods on students’ and people’s intuitions and difficulties concerning probability: early research focused on cognitive development, a period of heuristics and biases programs, and the current period marked by a multitude of foci, approaches and theoretical frameworks.
Publisher: Springer
ISBN: 3319316257
Category : Education
Languages : en
Pages : 40
Book Description
This book summarizes the vast amount of research related to teaching and learning probability that has been conducted for more than 50 years in a variety of disciplines. It begins with a synthesis of the most important probability interpretations throughout history: intuitive, classical, frequentist, subjective, logical propensity and axiomatic views. It discusses their possible applications, philosophical problems, as well as their potential and the level of interest they enjoy at different educational levels. Next, the book describes the main features of probabilistic thinking and reasoning, including the contrast to classical logic, probability language features, the role of intuitions, as well as paradoxes and the relevance of modeling. It presents an analysis of the differences between conditioning and causation, the variability expression in data as a sum of random and causal variations, as well as those of probabilistic versus statistical thinking. This is followed by an analysis of probability’s role and main presence in school curricula and an outline of the central expectations in recent curricular guidelines at the primary, secondary and high school level in several countries. This book classifies and discusses in detail the three different research periods on students’ and people’s intuitions and difficulties concerning probability: early research focused on cognitive development, a period of heuristics and biases programs, and the current period marked by a multitude of foci, approaches and theoretical frameworks.
ENC Focus
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1240
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1240
Book Description
Mathematics & Science in the Real World
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 96
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 96
Book Description
Statistics and Probability in High School
Author: Carmen Batanero
Publisher: Springer
ISBN: 9463006249
Category : Education
Languages : en
Pages : 232
Book Description
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 literacy. In the first chapter the authors put into practice the following educational principles, reflecting their views of how these subjects should be taught: a focus on the most relevant ideas and postpone extensions to later stages; illustrating the complementary/dual nature of statistical and probabilistic reasoning; utilising the potential of technology and show its limits; and reflecting on the different levels of formalisation to meet the wide variety of students’ previous knowledge, abilities, and learning types. The remaining chapters deal with exploratory data analysis, modelling information by probabilities, exploring and modelling association, and with sampling and inference. Throughout the book, a modelling view of the concepts guides the presentation. In each chapter, the development of a cluster of fundamental ideas is centred around a statistical study or a real-world problem that leads to statistical questions requiring data in order to be answered. The concepts developed are designed to lead to meaningful solutions rather than remain abstract entities. For each cluster of ideas, the authors review the relevant research on misconceptions and synthesise the results of research in order to support teaching of statistics and probability in high school. What makes this book unique is its rich source of worked-through tasks and its focus on the interrelations between teaching and empirical research on understanding statistics and probability.
Publisher: Springer
ISBN: 9463006249
Category : Education
Languages : en
Pages : 232
Book Description
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 literacy. In the first chapter the authors put into practice the following educational principles, reflecting their views of how these subjects should be taught: a focus on the most relevant ideas and postpone extensions to later stages; illustrating the complementary/dual nature of statistical and probabilistic reasoning; utilising the potential of technology and show its limits; and reflecting on the different levels of formalisation to meet the wide variety of students’ previous knowledge, abilities, and learning types. The remaining chapters deal with exploratory data analysis, modelling information by probabilities, exploring and modelling association, and with sampling and inference. Throughout the book, a modelling view of the concepts guides the presentation. In each chapter, the development of a cluster of fundamental ideas is centred around a statistical study or a real-world problem that leads to statistical questions requiring data in order to be answered. The concepts developed are designed to lead to meaningful solutions rather than remain abstract entities. For each cluster of ideas, the authors review the relevant research on misconceptions and synthesise the results of research in order to support teaching of statistics and probability in high school. What makes this book unique is its rich source of worked-through tasks and its focus on the interrelations between teaching and empirical research on understanding statistics and probability.
Authentic Learning Experiences
Author: Dayna Laur
Publisher: Routledge
ISBN: 1317921321
Category : Education
Languages : en
Pages : 169
Book Description
Learn how to implement a real-world approach to project-based learning. Authentic learning experiences are created around genuine, outside audiences and meaningful purposes. They meet the Common Core, engage students in critical thinking and 21st Century learning, teach important skills such as research and collaboration, and improve student learning. This practical guide provides step-by-step instructions to make it easy for teachers to create their own authentic learning experiences. The book is loaded with a variety of examples from different grade levels and content areas. Bonus! Each example incorporates technology and addresses the Common Core State Standards.
Publisher: Routledge
ISBN: 1317921321
Category : Education
Languages : en
Pages : 169
Book Description
Learn how to implement a real-world approach to project-based learning. Authentic learning experiences are created around genuine, outside audiences and meaningful purposes. They meet the Common Core, engage students in critical thinking and 21st Century learning, teach important skills such as research and collaboration, and improve student learning. This practical guide provides step-by-step instructions to make it easy for teachers to create their own authentic learning experiences. The book is loaded with a variety of examples from different grade levels and content areas. Bonus! Each example incorporates technology and addresses the Common Core State Standards.
Real Data Resources for Teachers
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 36
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 36
Book Description
CliffsNotes® Praxis II®: Elementary Education (0011, 0012, 0014) Test Prep
Author: Jocelyn L. Paris
Publisher: Houghton Mifflin Harcourt
ISBN: 054418341X
Category :
Languages : en
Pages : 268
Book Description
Publisher: Houghton Mifflin Harcourt
ISBN: 054418341X
Category :
Languages : en
Pages : 268
Book Description
Topics and Trends in Current Statistics Education Research
Author: Gail Burrill
Publisher: Springer
ISBN: 3030034720
Category : Education
Languages : en
Pages : 425
Book Description
This book focuses on international research in statistics education, providing a solid understanding of the challenges in learning statistics. It presents the teaching and learning of statistics in various contexts, including designed settings for young children, students in formal schooling, tertiary level students, and teacher professional development. The book describes research on what to teach and platforms for delivering content (curriculum), strategies on how to teach for deep understanding, and includes several chapters on developing conceptual understanding (pedagogy and technology), teacher knowledge and beliefs, and the challenges teachers and students face when they solve statistical problems (reasoning and thinking). This new research in the field offers critical insights for college instructors, classroom teachers, curriculum designers, researchers in mathematics and statistics education as well as policy makers and newcomers to the field of statistics education. Statistics has become one of the key areas of study in the modern world of information and big data. The dramatic increase in demand for learning statistics in all disciplines is accompanied by tremendous growth in research in statistics education. Increasingly, countries are teaching more quantitative reasoning and statistics at lower and lower grade levels within mathematics, science and across many content areas. Research has revealed the many challenges in helping learners develop statistical literacy, reasoning, and thinking, and new curricula and technology tools show promise in facilitating the achievement of these desired outcomes.
Publisher: Springer
ISBN: 3030034720
Category : Education
Languages : en
Pages : 425
Book Description
This book focuses on international research in statistics education, providing a solid understanding of the challenges in learning statistics. It presents the teaching and learning of statistics in various contexts, including designed settings for young children, students in formal schooling, tertiary level students, and teacher professional development. The book describes research on what to teach and platforms for delivering content (curriculum), strategies on how to teach for deep understanding, and includes several chapters on developing conceptual understanding (pedagogy and technology), teacher knowledge and beliefs, and the challenges teachers and students face when they solve statistical problems (reasoning and thinking). This new research in the field offers critical insights for college instructors, classroom teachers, curriculum designers, researchers in mathematics and statistics education as well as policy makers and newcomers to the field of statistics education. Statistics has become one of the key areas of study in the modern world of information and big data. The dramatic increase in demand for learning statistics in all disciplines is accompanied by tremendous growth in research in statistics education. Increasingly, countries are teaching more quantitative reasoning and statistics at lower and lower grade levels within mathematics, science and across many content areas. Research has revealed the many challenges in helping learners develop statistical literacy, reasoning, and thinking, and new curricula and technology tools show promise in facilitating the achievement of these desired outcomes.