The Role of Language in Teaching Children Math
()
About this ebook
--Debby Halperin, Recipient of the Presidential Award for Excellence in Mathematics Teaching 2014
Bernice Kastner
Dr. Bernice Kastner received her BS Honors in Mathematics and Physics from McGill University in Montreal. She is a professor emeritus of Towson University, having received her Ph.D. in Math Education from the University of Maryland. Dr. Kastner has developed curriculum for Simon Fraser University in British Columbia, Montgomery College, the University of Maryland, and other universities. Dr. Kastner's publications include: * Study Guide: Principles of Mathematics for Teachers; Simon Fraser University, 2009 * Study Guide: The Math Workshop: Algebra; Simon Fraser University, 1989 (with Malgorzata Dubiel) * Space Mathematics: A Resource for the Secondary School Teacher; NASA, 1986 * Applications of Secondary School Mathematics; National Council of Teachers of Mathematics, 1978 * 1979 Yearbook of the National Council of Teachers of Mathematics; Applications in School Mathematics; NCTM 1979 (Contributing author) * Unifying Concepts and Processes in Elementary Mathematics; University of Maryland Mathematics Project; Allyn & Bacon, 1978 (Contributing author) Articles: * "Space Travel Angles"; Quantum, January/February 1992, Springer-Verlag * "Number Sense: The Role of Measurement Applications"; The Arithmetic Teacher; February 1989 * "Decimal Fractions: The Case for Manipulatives"; Vector, BCAMT, Winter, 1988 * "Some Applications of Logarithms"; Vector, BCAMT Spring, 1985 Public Information: * U.S. School Mathematics from an International Perspective: A Guide for Speakers; Mathematical Sciences Education Board of the National Research Council. National Academy Press, 1989 (Contributing author)
Related to The Role of Language in Teaching Children Math
Related ebooks
When will I Ever Use This? Rating: 0 out of 5 stars0 ratingsBig Ideas for Growing Mathematicians: Exploring Elementary Math with 20 Ready-to-Go Activities Rating: 4 out of 5 stars4/5Venture Mathematics Worksheets: Bk. S: Statistics and Extra Investigations: Blackline masters for higher ability classes aged 11-16 Rating: 0 out of 5 stars0 ratingsNumber Sense and Nonsense: Games, Puzzles, and Problems for Building Creative Math Confidence Rating: 0 out of 5 stars0 ratingsMaking the Grades: My Misadventures in the Standardized Testing Industry Rating: 3 out of 5 stars3/5Teachers Change Lives 24/7:150 Ways to Do It Right Rating: 4 out of 5 stars4/5Another Way is Possible: Becoming a Democratic Teacher in a State School Rating: 0 out of 5 stars0 ratingsMathbrain by Brainthink Learning Rating: 0 out of 5 stars0 ratingsA Mindset for Success: In your classroom and school Rating: 0 out of 5 stars0 ratingsThe Education of a Teacher: Lessons Learned from 33 Years in the Trenches Rating: 0 out of 5 stars0 ratingsFrom Crisis To Tranquility: A Guide to Classroom: Management Organization and Discipline Rating: 0 out of 5 stars0 ratingsMagic Multiplication: Discover the Ultimate Formula for Fast Multiplication Rating: 0 out of 5 stars0 ratingsSchool Happens Rating: 0 out of 5 stars0 ratingsThe Secret Life of 4, 5 and 6 Year Olds: What Little People Can Tell Us About Big People Rating: 0 out of 5 stars0 ratingsBig Ideas in Education: What every teacher should know Rating: 0 out of 5 stars0 ratingsJunior Mathematical Dominoes: 40 blackline masters for ages 7-11 Rating: 0 out of 5 stars0 ratingsBrain-Compatible Mathematics Rating: 0 out of 5 stars0 ratingsChecklist for Change: Making American Higher Education a Sustainable Enterprise Rating: 0 out of 5 stars0 ratingsThe New Teacher's Instant Survival Guide Rating: 0 out of 5 stars0 ratingsMath Is All Around Us: A Collection of Story Problems for Students and Teachers, Grades 5-7 Rating: 0 out of 5 stars0 ratingsThe School Choice Roadmap: 7 Steps to Finding the Right School for Your Child Rating: 0 out of 5 stars0 ratingsEvery School Rating: 0 out of 5 stars0 ratingsTeaching STEM Literacy: A Constructivist Approach for Ages 3 to 8 Rating: 0 out of 5 stars0 ratingsMath for College and Career Readiness, Grade 6: Preparation and Practice Rating: 0 out of 5 stars0 ratingsAn Analysis of Teachers Who Teach Struggling Students Rating: 0 out of 5 stars0 ratingsThe Schooling of a 21st Century Principal: Connections, Reflections, and Commentaries of an Unwitting School Leader Rating: 0 out of 5 stars0 ratingsNurturing Young Innovators: Cultivating Creativity in the Classroom, Home and Community Rating: 0 out of 5 stars0 ratingsGetting to the HEARTS of Teaching Rating: 0 out of 5 stars0 ratingsHow To Write Like an English Teacher: By the Crazy English Teacher Rating: 0 out of 5 stars0 ratings
Teaching Mathematics For You
Fluent in 3 Months: How Anyone at Any Age Can Learn to Speak Any Language from Anywhere in the World Rating: 3 out of 5 stars3/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Calculus For Dummies Rating: 4 out of 5 stars4/5Quantum Physics: A Beginners Guide to How Quantum Physics Affects Everything around Us Rating: 5 out of 5 stars5/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Algebra I For Dummies Rating: 4 out of 5 stars4/5Geometry For Dummies Rating: 5 out of 5 stars5/5Pre-Calculus Workbook Rating: 0 out of 5 stars0 ratingsLimitless Mind: Learn, Lead, and Live Without Barriers Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5Linear Algebra For Dummies Rating: 3 out of 5 stars3/5Algebra II For Dummies Rating: 3 out of 5 stars3/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Pre-Algebra, Grades 5 - 12 Rating: 5 out of 5 stars5/5Trigonometry For Dummies Rating: 0 out of 5 stars0 ratingsSneaky Math: A Graphic Primer with Projects Rating: 0 out of 5 stars0 ratingsQuadratic Equation: easy way to learn equation Rating: 0 out of 5 stars0 ratingsCalculus Workbook For Dummies with Online Practice Rating: 3 out of 5 stars3/5Math, Grade 8 Rating: 5 out of 5 stars5/5How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics Rating: 3 out of 5 stars3/5Probability For Dummies Rating: 3 out of 5 stars3/5Statistics & Probability, Grades 5 - 12 Rating: 5 out of 5 stars5/5Math, Grade 7 Rating: 4 out of 5 stars4/5Pre-Calculus Workbook For Dummies Rating: 5 out of 5 stars5/5
Reviews for The Role of Language in Teaching Children Math
0 ratings0 reviews
Book preview
The Role of Language in Teaching Children Math - Bernice Kastner
References
About the Author
Dr. Bernice Kastner received her BS Honors in Mathematics and Physics from McGill University in Montreal. She is a professor emeritus of Towson University, having received her Ph.D. in Math Education from the University of Maryland. Dr. Kastner has developed curriculum for Simon Fraser University in British Columbia, Montgomery College, the University of Maryland, and other universities.
Dr. Kastner’s publications include:
Study Guide: Principles of Mathematics for Teachers; Simon Fraser University, 2009
Study Guide: The Math Workshop: Algebra; Simon Fraser University, 1989 (with Malgorzata Dubiel)
Space Mathematics: A Resource for the Secondary School Teacher; NASA, 1986
Applications of Secondary School Mathematics; National Council of Teachers of Mathematics, 1978
1979 Yearbook of the National Council of Teachers of Mathematics; Applications in School Mathematics; NCTM 1979 (Contributing author)
Unifying Concepts and Processes in Elementary Mathematics; University of Maryland Mathematics Project; Allyn & Bacon, 1978 (Contributing author)
Articles:
Space Travel Angles
; Quantum, January/February 1992, Springer-Verlag
Number Sense: The Role of Measurement Applications
; The Arithmetic Teacher; February 1989
Decimal Fractions: The Case for Manipulatives
; Vector, BCAMT, Winter, 1988
Some Applications of Logarithms
; Vector, BCAMT Spring, 1985
Public Information:
U.S. School Mathematics from an International Perspective: A Guide for Speakers; Mathematical Sciences Education Board of the National Research Council. National Academy Press, 1989 (Contributing author)
Dedication
This book is dedicated to my lifelong friend Claire Bernstein, a lawyer, writer (You Be the Judge), and now a blogger (To Life, With Love) in my home town, Montreal, Quebec, Canada. She kept encouraging me to ‘stick with it’ every time I was ready to abandon this project.
Copyright Information
Copyright © Bernice Kastner (2019)
All rights reserved. No part of this publication may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other electronic or mechanical methods, without the prior written permission of the publisher, except in the case of brief quotations embodied in critical reviews and certain other noncommercial uses permitted by copyright law. For permission requests, write to the publisher.
Any person who commits any unauthorized act in relation to this publication may be liable to criminal prosecution and civil claims for damages.
Ordering Information:
Quantity sales: special discounts are available on quantity purchases by corporations, associations, and others. For details, contact the publisher at the address below.
Publisher’s Cataloguing-in-Publication data
Kastner, Bernice
The Role of Language in Teaching Children Math
ISBN 9781641825429 (Paperback)
ISBN 9781641825436 (Hardback)
ISBN 9781641825443 (Kindle)
ISBN 9781645369486 (ePub)
The main category of the book — Education / Teaching Methods & Materials / Mathematics
www.austinmacauley.com/us
First Published (2019)
Austin Macauley Publishers LLC
40 Wall Street, 28th Floor
New York, NY 10005
USA
mail-usa@austinmacauley.com
+1 (646) 5125767
Acknowledgments
First and foremost, I thank my children – Judith Skillman, Ruth E. Kastner, Joel Kastner – all of whom are writers in their respective fields (literature, philosophy of science, astronomy), for their constant encouragement and assistance as I have tried to make people in mathematics education aware of the importance of language and how it is used in the context of mathematics education. Thanks also to Tom Skillman for invaluable assistance with the diagrams and with format issues.
I am grateful to Malgorzata Dubiel of the Department of Mathematics at Simon Fraser University (Burnaby, British Columbia, Canada) and Melania Alvarez at the Pacific Institute of Mathematical Sciences (Vancouver, British Columbia, Canada), for offering me the opportunity to participate in and look closely at the current preparation offered to elementary school teachers and at what is taught in elementary school mathematics.
I thank Deborah Halperin, recipient of the President’s Award for Excellence in Mathematics Teaching 2014, and Virginia (Gini) Stimpson of the mathematics education group at the University of Washington, Seattle, for some stimulating discussions and for providing me with current copies of elementary school mathematics textbooks.
Thanks also to fellow Horizon House (Seattle, WA) residents, Patricia Henry, Nancy Robinson, and Phyllis Van Orden, for reading early drafts and providing helpful feedback.
Preface
Recent research has shown that some important aspects of human number sense are actually inborn (Dehaene; Carey et al; Buttersworth), and that the language processing capabilities of the human brain are very much involved in mathematical activity. The implications of this research for the teaching and learning of mathematics are profound.
There is also a well-established myth that the verbal and symbolic language of mathematics is clear and unambiguous, but in fact no human language has such properties. If we fear confusing children by showing them that mathematical words and symbols can have different meanings, we should consider whether we might be promoting more serious confusion and misunderstanding by denying or obscuring this reality.
Every school-age child has already become proficient in his or her native language, even though that language has words that have different meanings in different contexts as