Search results for: teaching-probability

An Experiment in the Teaching of Selected Concepts of Probability to Elementary School Children

Author : Gordon Keith McLeod
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Teaching Probability

Author : Jenny Gage
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This title focuses on the approaches that can be taken in the classroom to develop skills and a conceptual understanding of probability. Written by leading subject specialists, Teaching Probability is designed to support teaching concepts in probability by providing a new approach to this difficult subject from a perspective not limited by a syllabus, giving teachers both theoretical and practical knowledge of an innovative way of teaching probability. This alternative approach to teaching probability focuses on the methods that teachers can apply to help their students engage with the topic using experiments and mathematical models to solve problems, considering how to overcome common misconceptions and the way in which probability can be communicated.

Examining an Operational Approach to Teaching Probability

Author : Drivet, Alessio
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Several years ago, there began a consideration of the inadequacy of a traditional approach to teaching mathematics. Many teachers and perhaps a majority of the students often realize something is wrong with these methods and report a lack of enthusiasm in dealing with the discipline. Many teachers think that certain established habits have a serious pedagogical basis, and therefore, it is difficult to question them. In addition, perhaps, there is also a certain fear in imagining and experimenting with new ways. Unfortunately, the excessive use of examples and abstract formulations with exclusive reference to algebraic language distances the student from the pleasure of the discipline. Mathematics, on the other hand, requires attention and concentration, but the understanding of its meaning gives rise to interest, pleasure to discover, and promotes deep learning. This is where studying probability from an operational approach has gained much traction. The most interesting aspect is the use of a very artisanal approach, starting with objects that students can, in part, find in their daily lives. Trying to identify objects and situations that speak of "different mathematics," embodied in everyday life, may offer more possibilities to deal with the mathematical illiteracy that seems to afflict a large part of our society. Examining an Operational Approach to Teaching Probability focuses on probability examined from an educational point of view and the implementation of a very concrete operational approach in the classroom. Two main pillars are examined within this book: concrete objects and IT tools used to perform simulations for probability teaching. Each chapter is devoted to an essential concept related to probability and covers the operational approach all the way from its historical development to types of probability studies, different teaching methods within the approach, and the theories surrounding it. This book is ideal for pre-service and in-service teachers looking for nontraditional approaches in teaching along with instructional designers, curricula developers, practitioners, researchers, academicians, and students interested in learning more about operational research and the use of objects to introduce probabilistic concepts in a new method of teaching.

Research on Teaching and Learning Probability

Author : Carmen Batanero
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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.

How to Work with Probability and Statistics Grades 6 8

Author : Tcr
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A collection of lessons in probability and statistics for the teachers of students in grades six offers units and practice pages incorporating the math skills established by the National Council of Teachers of Mathematics.

Exploring Probability in School

Author : Graham A. Jones
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Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book’s rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.

Kiplinger s Personal Finance

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The most trustworthy source of information available today on savings and investments, taxes, money management, home ownership and many other personal finance topics.

Second Handbook of Research on Mathematics Teaching and Learning

Author : Frank K. Lester
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An update to the original 1992 publication, this two-volume set unites current research to provide new conceptualizations of research problems, and to suggest possible research programs to move the field forward. In studying the existing research, the authors found that the community has maintained its focus on problems of learning, teaching, teacher education, assessment, technology, and social and cultural aspects of mathematics education, while some new areas of interest have emerged or been expanded. This set allows educators to step back and look at each of these areas to see where mathematics education research has been and where it should be going to enable the field to answer the questions about education that practitioners, policy makers, and politicians are asking.

Chances Are

Author : Nancy Pfenning
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Do you avoid teaching probability and statistics because the subjects seem confusing and complex? Are you less than sure about your knowledge of the topics? Let Chances Are take you and your students on a fun and exciting mathematical journey none of you will ever forget! Filled with easy-to-understand explanations and creative activities, this book offers teachers a simple method for teaching probability and statistics in an enjoyable way. This book can serve as an introduction for any beginner, from gifted and advanced students in upper elementary school, to high school students needing enrichment or preparation for Advanced Placement Statistics or future college courses. From helping to win a card game, to making life-or-death medical decisions, the uses of probability and statistics are virtually endless. For teachers of elementary students, the book offers simple, hands-on lessons and activities about probability and basic statistics. For teachers of older students, advanced statistical concepts are discussed and activities are provided. Reviewers have found the book's level to be appropriate for a wide range of ages, from fourth graders to postsecondary students.

Teaching Statistics Using Baseball 2nd Edition

Author : James Albert
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This book illustrates basic methods of data analysis and probability models by means of baseball statistics collected on players and teams. The idea of the book is to describe statistical thinking in a context that will be familiar and interesting to students. The second edition of Teaching Statistics follows the same structure as the first edition, where the case studies and exercises have been replaced by modern players and teams, and the new types of baseball data from the PitchFX system and fangraphs.com are incorporated into the text.

The Teaching of Statistics

Author : Robert Morris
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Syllabi of the American Society for the Extension of University Teaching

Author : American Society for Extension of University Teaching
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Teaching Statistics at Its Best

Author : David Green
File Size : 26.59 MB
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The Relationship Between Certain Measures of Teaching Ability and Teaching Success

Author : William Franklin Price
File Size : 22.97 MB
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Adopting Probability Curricula

Author : Susan Kathryn Haller
File Size : 67.38 MB
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Teaching Children Mathematics

Author :
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Proceedings of the First International Conference on Teaching Statistics University of Sheffield 9 13 August 1982

Author : D. R. Grey
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The first volume of these conference proceedings includes an introductory talk (on why statistics should be taught), three plenary papers (discussing stochastics at the school level in the age of the computer, optimum balance between statistical theory and applications in teaching, and the relevance of statistical training), and 35 invited papers. The papers are organized under nine topic headings. These topic areas are: (1) teaching statistics in schools (6-11 years age group); (2) teaching statistics in schools (12-15 years age group); (3) teaching statistics in schools (16-18 years age group); (4) teaching statistics to non-statisticians; (5) development of teaching materials at the school level; (6) training of teachers in statistics; (7) use of calculators and computers in teaching; (8) teaching statistics with the help of case studies; and (9) training statistical practitioners. Topics addressed in the individual papers summarize the situation in statistical education around the world and point the way to future developments. (JN)

Teaching Mathematics for the 21st Century

Author : Linda Huetinck
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This third edition of T eaching Mathematics for the 21st Century continues to help teachers let the secret out–to open up to their students the wonderful discoveries and challenges of the pattern-making and problem-solving aspects of a fascinating subject: mathematics. The rationale remains the same–to enable prospective and current teachers to access and use tools and strategies to effectively teach mathematics to contemporary students. Changing demographics, knowledge of how people learn, and technology all impact the way we educate our young people. This edition incorporates lessons and strategies from programs that have proven success in many types of classrooms. Many of these examples help students connect mathematics to real life situations and communicate their understanding of the underlying concepts. Although technology is constantly being upgraded, ways to increase student motivation through its application remains a goal. For example--since applets can enhance a lesson whether the teacher uses a computer projector, a “smart” board, or has students work individually on computers--we have identified several sources of mathematics applets that can be correlated to various lessons. Research citations and summaries have been updated to reflect current information on teaching and learning. For future teachers.

Teaching and Learning Stochastics

Author : Carmen Batanero
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This book presents a collection of selected papers that represent the current variety of research on the teaching and learning of probability. The respective chapters address a diverse range of theoretical, empirical and practical aspects underpinning the teaching and learning of probability, curricular issues, probabilistic reasoning, misconceptions and biases, as well as their pedagogical implications. These chapters are divided into THREE main sections, dealing with: TEACHING PROBABILITY, STUDENTS' REASONING AND LEARNING AND EDUCATION OF TEACHERS. In brief, the papers presented here include research dealing with teachers and students at different levels and ages (from primary school to university) and address epistemological and curricular analysis, as well as the role of technology, simulations, language and visualisation in teaching and learning probability. As such, it offers essential information for teachers, researchers and curricular designers alike.

Mathematics Teaching in the Middle School

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