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

The most extensive set of test materials for teaching probability at the pre -
secondary school levels has been published by the School Mathematics Study
Group . SMSG writers have prepared three probability textbooks ( SMSG , 1966 a
, b , c ) ...

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Author: Gordon Keith McLeod

Publisher:

ISBN: STANFORD:36105042763321

Category: Mathematics

Page: 442

View: 729

Teaching Probability

Probability is vitally important but poorly understood, and therefore good teaching
is essential. It forms part of most secondary school mathematics curricula and is
also a component of many science curricula. However, the problems associated
 ...

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Author: Jenny Gage

Publisher: Cambridge University Press

ISBN: 9781316605899

Category: Juvenile Nonfiction

Page: 206

View: 377

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

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.

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Author: Drivet, Alessio

Publisher: IGI Global

ISBN: 9781799838722

Category: Education

Page: 369

View: 795

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

2.3.1 Probability in Primary School At the beginning of this century, the Standards
of the National Council of Teachers of Mathematics (NCTM 2000) in the United
States included the following recommendations related to understanding and ...

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Author: Carmen Batanero

Publisher: Springer

ISBN: 9783319316253

Category: Education

Page: 33

View: 580

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

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.

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Author: Tcr

Publisher: Teacher Created Resources

ISBN: 9781576909683

Category: Education

Page: 48

View: 932

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

PROBABILITY IN TEACHER EDUCATION AND DEVELOPMENT Chapter 14 The
success of any probability curriculum ... I then examine teachers' knowledge and
beliefs about probability, their ability to teach probabilistic ideas, and lessons ...

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Author: Graham A. Jones

Publisher: Springer Science & Business Media

ISBN: 9780387245300

Category: Education

Page: 390

View: 124

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

Probability. has. never. been. more. interesting. and. accessible. than. in. these.
12. lectures. from. The. Teaching. Company. SAVE. $1. 60! OFFER. GOOD.
UNTIL. MARCH. 9,. 2007. Please send me What Are the Chances? Probability
NAME ...

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Author:

Publisher:

ISBN:

Category:

Page: 114

View: 634

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

need in teaching probability , research on teachers ' mathematical content
knowledge , pedagogical content knowledge , and knowledge of student learning
is limited . This dearth of research may be due to the fact that the introduction of ...

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Author: Frank K. Lester

Publisher: Information Age Pub Incorporated

ISBN: 1593115881

Category: Education

Page: 712

View: 577

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

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.

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Author: Nancy Pfenning

Publisher: PRUFROCK PRESS INC.

ISBN: 9781882664351

Category: Education

Page: 176

View: 662

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

This book illustrates basic methods of data analysis and probability models by means of baseball statistics collected on players and teams.

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Author: James Albert

Publisher: The Mathematical Association of America

ISBN: 9781939512161

Category: Mathematics

Page: 256

View: 917

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

Fischbein ( 1975 ) adds that , at an early age , teaching probability and statistics
can evolve from intuitive structures and fundamental mental operations .
According to Fischbein , this can be achieved by having children carry out all
sorts of ...

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Author: Robert Morris

Publisher: United Nations Educational

ISBN: UCR:31210008987677

Category: Education

Page: 258

View: 680

Syllabi of the American Society for the Extension of University Teaching

American Society for Extension of University Teaching ... PROBABILITY. I.
SIMPLE Events. The probability or chance of an event happening is the ratio of
the number of ways favorable to the event to the total number of ways, each
being ...

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Author: American Society for Extension of University Teaching

Publisher:

ISBN: UOM:39015020100320

Category: University extension

Page:

View: 672

Teaching Statistics at Its Best

Collaboration with the historian of probability is desirable but not always feasible
. To compensate for this there is a growing body of literature on the history of
probability which is easily accessible to non - specialists , whether teachers or ...

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Author: David Green

Publisher:

ISBN: UOM:35128001998911

Category: Mathematical statistics

Page: 166

View: 205

Adopting Probability Curricula

83 Table 9 : Assessment Mean , Median , Mode , Range , Standard Deviation
and Variance for Pre- and Post - Instructional Probability Test ..... 83 Table 10 :
Number of Teachers who Correctly Answered the One - Stage Probability Items .

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Author: Susan Kathryn Haller

Publisher:

ISBN: MINN:31951P00617549I

Category: Education

Page: 750

View: 509

Teaching Children Mathematics

Data Analysis and Probability Resources from NCTM The world has entered an
age of instant access to larger and larger amounts of information , and the need
for methods to deal with this data is growing . In response to that need , data ...

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Author:

Publisher:

ISBN: PSU:000061876828

Category: Mathematics

Page:

View: 682

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

... University of Klagenfurt PRELIMINARY NEED FOR NEW TEACHING
STRATEGIES IN STATISTICS CONCEPTIONS ... In teaching probability theory
some efforts have been made to support the understanding of the term probability
as such .

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Author: D. R. Grey

Publisher:

ISBN: 0946554013

Category: Statistics

Page: 836

View: 830

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

-PROBABILITY Considering whether games are fair is an excellent way to.
ASSIGNMENTS 1. The easiest element of the daily lesson plan for teachers - in -
training to verbally practice is the Into segment . The Into has two purposes : ( a )
to ...

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Author: Linda Huetinck

Publisher: Prentice Hall

ISBN: UVA:X030250854

Category: Education

Page: 505

View: 401

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

This book presents a collection of selected papers that represent the current variety of research on the teaching and learning of probability.

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Author: Carmen Batanero

Publisher: Springer

ISBN: 9783319728711

Category: Education

Page: 384

View: 357

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

Fayne Winter • After using this activity in class , teachers can relate the probability
of students getting high scores on their own tests , as well as calculating the
probability of winning the lottery . — Lynn Prichard For homework , ask students
to ...

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Author:

Publisher:

ISBN: PSU:000055233583

Category: Mathematics

Page:

View: 123