This website contains a list of several valuable
resources for teaching data collection and probability in the elementary
classroom. Included are resource books,
websites and journal articles that offer useful and practical ideas that
teachers may implement in their classrooms. These resources were compiled by
Shannon Hodder, a student of Education at Acadia University.
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Van
de Walle, John A. (1994). Elementary School Mathematics (2nd
ed.)
Toronto: Addison Wesley Longman. *
This is an excellent
teaching resource for any elementary math teacher. Chapter 19, called “Exploring
Beginning Concepts of Probability and Statistics” would be particularly
useful to a teacher when examining data collection and probability. It offers comprehensive explanations of the
concepts involved, including why they are important to know at the elementary
level. This chapter can help teachers better understand the concepts themselves,
as well as assist them with their instructional approaches to teaching such
concepts.
* This edition is now out of print.
The new edition is called Elementary And Middle School Mathematics
(4th ed.) by the same author, John A. Van de Walle.
ISBN 0801332532
Cathcart,
W.G., Pothier, Y. and Vance, J. (2000). Learning Mathematics in
Elementary and Middle Schools (3rd ed.). Scarborough: Prentice Hall Canada Inc.
Chapters 10, Collecting,
Organizing, and Displaying Data is very useful and focuses on the
representation of data in graphs. It
explains the various levels of development in children and their corresponding
ability to graph information in different ways.
In Chapter 11, Interpreting
Data: Statistics and Probability, the authors emphasize that
students must be involved in the collecting of the data themselves through
various means. Students must also
engage in activities where they can test the probability of certain events occurring.
Both chapters offer
helpful instructional hints and concrete activities that you can introduce to
your students. The figures that accompany the text are particularly helpful.
ISBN 0-13-014094-5
Beesey,
C. and Davie, L. (1994). Active
Mathematics: Teacher’s Resource
Book Level 1 (K-2). Toronto: Gage Educational Publishing Company.
This Canadian
resource is a teacher’s supplement to the books in the Gage Active Mathematics,
level 1 series. Although it is most
beneficial to have this series, the guide can stand virtually alone. The section on Data Collection and
Representation is especially useful.
It provides short exercises for teachers to do with students “for five
minutes” and also full lesson plans that could be easily implemented into any
primary to Grade 2 classroom. These lesson ideas could also be easily adapted
to fit a higher grade level. The book
also includes possible literature connections at the end of each section.
ISBN 0-7715-3230-X
Kelly,
B. and Wortzman, R. (1996). Quest 2000: Exploring Mathematics,
Grade 5.
Toronto: Addison Wesley Longman.
In Unit 6, called Collecting
and Analyzing Data, Grade 5 students are expected to collect data,
represent it graphically, and analyse it for patterns. Many of the activities
provided involve answering questions based on the examination of a set of data
provided. The ideas offered in the book are very useful and serve as a good
point from which creative teachers can start to build meaningful lessons. There
is definite potential to make the activities and exercises in the textbook more
interesting and engaging to the students. The practice sheets provided are helpful,
but should only be used to supplement a meaningful learning activity.
ISBN 0201552728
Interactions: Grade 5 (1994). Toronto: Ginn Publishing Canada Inc.
In Unit 9, Introducing
Probability and Statistics, Grade 5 students are expected to
conduct their own probability experiments as well as begin to analyse the data
for patterns. The unit offers detailed lesson plans, which also includes
discussion questions and extension activities. They also provide helpful hints
for observation and assessment. The
unit also includes related literary connections and teaching resources, such as
videos and computer software. Also included are some helpful blackline masters,
including game cards, a letter to parents and an assessment checklist.
ISBN 0-7702-2451-2
Seymour, Dale. (1997). Probability
Model Masters. Palo Alto, CA: Dale Seymour
Publications.
This book contains
over 100 pages of reproducible black line masters that can also be used for
overhead transparencies. The models
include playing cards (standard and non-standard), spinners, dice, heads and
tails cards and colour cards. This is
an excellent resource for any study of probability from P to 12 and can assist
teachers in their preparation of probability lessons and/or probability game
activities.
ISBN 0-86651-537-2
Bamberger, Honi. (1996).
Super Graphs, Venns & Glyphs: Hundreds of
Great Data Collecting Activities. Toronto: Scholastic Canada,
Ltd.
This book shows
teachers how to incorporate data collection into their classrooms
everyday. It emphasizes the need for
children to have frequent opportunities to collect data and demonstrates the
importance for children to become adept using this “real-life tool”. This book is full of great ideas to make
collecting and interpreting data meaningful and fun for children. Teachers will enjoy the book’s easy and
straightforward approach and illustrations.
ISBN 0590674773
http://mathforum.com/dr.math/tocs/prob.stats.middle.html
This website is particularly
useful for teachers and students of mathematics because it gives them an
opportunity to go on-line and ask “Dr. Math” a question about mathematics. The above URL brings you to dozens of
questions and answers on Probability and Statistics from the archives of Dr.
Math. Middle school students and
teachers posed these questions. The answers provided by Dr. Math are very clear
and can help simplify some aspects of probability.
Statistics Canada, 2000 http://www.statcan.ca/
This website is an
excellent resource and has a wealth of data that can be accessed by teachers or
older students, including information on population, economy, land and
resources and communities. This is a complex site with great amounts of data
that makes it difficult for elementary children to navigate. Teachers should
check out the Education Resources section of the site.
http://www.carolhurst.com/subjects/math/datagather.html
This site demonstrates how teachers can use
children’s literature in all areas of the elementary curriculum. Under the
section called Math and Children’s Literature, there is a list of
over 40 picture books that can be used in connection with teaching “Data
Gathering and Analyzing”.
Mathematicians Explore Data. Teaching Children Mathematics, 80-86.
This article details
an excellent, but complex lesson plan in which grade one and two students are
“buddied up” with someone they do not know from a different school. They need
to collect information about themselves that they will send to their “buddy” at
the other school. The goal is that the buddies will meet and have to identify
each other based on the information they received about each other. The students help generate the list of
important information to gather about their “buddy”. The lesson takes place
over a course of two to three months and involves several exchanges of
information between the classes. The students are involved in various methods
of graphing. This is an interesting method of teaching students about data
collection, and may be one that will prove meaningful to them.
Multicultural Literature. Teaching Children Mathematics, 87-91.
This article
discusses how teachers can draw connections not only between math and
literature, but also between math and literature with more culturally diverse
characters. The author demonstrates how
students can represent information taken directly from the story (or derived
from the story in some way) using different graphical representations.
In this article, the
author details an excellent lesson on temperature where students collect
experimental data and then represent data graphically. This lesson is most
appropriate for Grade 5 or 6, but can be adapted for lower levels as well.
Working with temperature can be most beneficial because it serves as a link
between math and science, as well as introduce negative numbers and conversion
(Celsius to Fahrenheit).