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Data Management & Probability: WebConnects
WEBCONNECTS, or Internet links, are described in the margin of the Background and Strategies Book and the Guide to the Developmental Map. These links extend the discussion from the books to the Internet.

The links listed direct to sites outside of Nelson Education Ltd. which implies neither responsibility for, nor approval of, the information contained in those other Web sites on the part of Nelson Education Ltd. You may close the new browser window to return to Nelson or simply return to http://www.prime.nelson.com.

Background and Strategies Webconnects
Guide to the Developmental Map Webconnects

Background and Strategies Table of Contents

Section 1: Introduction
Section 2: Instructional Issues Around Teaching Data Management and Probability
Section 3: Content Issues in Learning About Data Management and Probability
Section 4: Developing Statistical Sense
Section 5: Problem Solving in Data Management and Probability
Section 6: Communication in Data Management and Probability
Section 7: Assessment and Evaluation in Data Management and Probability
Section 8: Differentiating Instruction in Data Management and Probability

Section 1: Introduction

There are no WEBCONNECTS in Section 1 of the Data Management and Probability Background and Strategies book.

Section 2: Instructional Issues Around Teaching Data Management and Probability

Using Different Lesson Styles (p. 25)

Box Model, from the NCTM Illuminations site, provides a statistical device that can be used to simulate standard probability experiments, such as flipping a coin and rolling a die, and to simulate any situation where there are from 2 to 12 equally likely outcomes, such as the four different action figures in Pose a Problem.

 

Marbles, from the Shodor Education Foundation site, is an applet for selecting up to three marbles from various numbers of up to four colours of marbles. Various situations with and without equally likely outcomes, such as the four different action figures in Pose a Problem, can be simulated with this applet. Theoretical probabilities are also shown.

Spinner, from the Shodor Education Foundation site, is an applet for spinning a spinner with up to 12 sections. Situations with up to 12 equally likely outcomes, such as the four different action figures in Pose a Problem, can be simulated with this applet. Theoretical probabilities are also shown.

Technology Resources (p. 40)

The Eisenhower National Clearinghouse for Mathematics and Science Education (ENC) is an online K–12 math and science teacher resource centre. PRIME links you directly to their home page.

Math Central, from the University of Regina, features a Mathematics Glossary, Quandaries and Queries, and links to Web sites with math activities.

Mathematically Sane provides links to balanced, research-based information about mathematics teaching and learning.

Math Playground offers varied and abundant practice of math skills for students in Grades K–6.

The National Council of Teachers of Mathematics (NCTM) site provides information about the organization, its conferences, and its publications. Principles and Standards for School Mathematics is available online here as are problems, activities for home and school, applets, and lessons.

 

National Library of Virtual Manipulatives for Interactive Math, from Utah State University, is a source of applets for learning mathematics. It is categorized by grade level and strand. Data and Probability Virtual Manipulatives is our link to its Data Management and Probability applets.

 

NCTM Illuminations provides activities and resources that are appropriate for teachers at various grade levels to use as they reflect on, plan for, and implement NCTM Standards–based mathematics education in their classrooms.

The BBC KS2 Bitesize Maths site offers a number of interactive activities, fact sheets, tests, and printable worksheets about interpreting data and mean, median, and mode. Currency is British pound and units are metric.

The Math Forum, from Drexel University, features Ask Dr. Math and an Internet Mathematics Library. It offers both student and teacher areas with links to Web sites with activities and problems.

 

Section 3: Content Issues in Learning About Data Management and Probability

Data Organization: Appropriate Technology (p. 49)

Sorting and Classifying Activities offers two detailed sorting activities. The second one includes the use of Venn diagrams. There are data gathering and representing activities as well.

Sorting Things Out offers activities sorting a variety of objects including geometric shapes.

 

Data Collecting: Appropriate Technology (p. 56)

Animal Kingdom Record Book offers data about record-breaking animals (the heaviest, smallest, slowest, rarest, and so on) by type (mammals, fish, and so on).

 

Census at School is an international classroom project, from Statistics Canada, for students aged 8 to 18. Students gather complete a brief online survey and can compare their class data with those of other classes around the world. The anonymous results are used for teaching various subjects and comparing students' lives in different countries.

The Canadian Football League (CFL) site offers current information about the Canadian Football League and its teams.

Data and Story Library (DASL) is an online library of real-world data from a wide variety of sources.

The Guinness World Records site provides the latest data about records around the world in nature, sports and games, science and technology, etc.

 

The National Basketball Association (NBA) site offers current information about the National Basketball Association and its teams.

The National Hockey League (NHL) site offers current information about the National Hockey League and has links to team sites.

The Olympics is the official site of the Olympic Movement with information about past games and current activities.

Sports Statistics on the Web is a site that provides links to data sources about a wide range of sports.

The Statistics Canada site offers Canadian data about the economy, the land, the people, and the state. Community profiles contain free information about your community.

Data Display: Appropriate Technology (p. 85)

Bar Graph, from the Shodor Education site, is an applet for constructing bar graphs, where maximum and minimum values are entered rather than selecting a scale.

Bar Graphs, from the National Center For Education Statistics (NCES) Create A Graph site, is an applet for constructing bar graphs, where maximum and minimum values are entered rather than selecting a scale.

Circle Graph, from the Shodor Education site, is an applet for constructing circle graphs. Percents are shown, but students enter raw data.

Create A Graph, from the NCES site, has various applets for creating graphs.

Data and Probability Virtual Manipulatives is a source of data management and probability applets, including tools for creating bar graphs, pie (circle) graphs, histograms, and scatter plots.

Graphing Basketball Data offers an activity that guides students through using ClarisWorks to create broken-line graph of NBA rebound statistics.

Graphing International Data is a tool that can be used to create circle and bar graphs of data on a wide range of topics.

Histogram, from the Shodor Education site, is an applet for constructing histograms, where maximum and minimum values are entered rather than selecting a scale.

Line (Broken-line) Graphs, from the NCES Create A Graph site, is an applet for constructing broken-line graphs, where maximum and minimum values are entered rather than selecting a scale.

Pie (Circle) Graphs, from the NCES Create A Graph site, is an applet for constructing circle graphs.  Percents are not used. Students enter raw data.

Statistics and Probability Activities, from the Shodor Education Foundation site, provides varied applets for group or individual exploration of concepts from middle school.

 

Data Analysis: Appropriate Technology (p. 100)

Brain and Body Size offers data about the size of brains and various animals for students to investigate.

Data and Probability Virtual Manipulatives is a source of data management and probability applets, including tools for creating histograms and scatter plots. Students can interpret the data shown graphically. 

Graphing Basketball Data offers an activity that guides students through using ClarisWorks to create broken-line graph of NBA rebound statistics. Students can interpret the data shown graphically.

Graphing International Data is a tool that can be used to create circle and bar graphs of data on a wide range of topics. Students can interpret the data shown graphically.

Phone Graphs is a site with two double bar graphs for students to interpret about telephones in Canada and the Philippines.

Small Animals is a site with five bar graphs, a broken-line graph, and a scatter plot about some species of small animals. Students can interpret the data shown graphically.

 

Probability: Appropriate Technology (p. 118)

Data and Probability Virtual Manipulatives is a source of data management and probability applets, including tools for simulating coin tossing and investigating probabilities of sticking with a decision or switching.

Dice Table, from the Shodor Education Foundation site, is an activity where students decide on which dice rolls each player will win. The theoretical results are shown in a table. Then students describe the probability of each player winning using “out of, ” simple fractions, and/or decimals.

Marbles, from the Shodor Education Foundation site, is an applet for selecting up to three marbles from various numbers of up to four colours of marbles. Various situations with and without equally likely outcomes can be simulated with this applet. Theoretical probabilities are also shown.

Box Model, from the NCTM Illuminations site, provides a statistical device that can be used to simulate standard probability experiments, such as flipping a coin and rolling a die, and to simulate any situation where there are from 2 to 12 equally likely outcomes. A sample coin flipping activity is presented.

Racing Game with One Die, from the Shodor Education Foundation site, is a car race game where students decide on which die rolls each car will move. The game can be used for predicting winners and for creating races to match qualitative probability descriptions (e.g., red car will win most of the time).

Random Birthday is an applet that simulates birthdays to determine the experimental probability of two people having the same birthday.

Rolling a pair of dice, from the NCES Games and Activities site, is an applet that simulates the rolling of a pair of dice for varying number of rolls. The results as the sum of the two dice is shown graphically and in a table. Explanations of probability are provided.

Rolling Dice is an applet that simulates the rolling of different numbers of dice for varying numbers of rolls. The sum of the numbers on the dice is plotted.

Spinner, from the Shodor Education Foundation site, is an applet for spinning a spinner with up to 12 sections. Situations with up to 12 equally likely outcomes can be simulated with this applet. Theoretical probabilities are also shown.

Statistics and Probability Activities, from the Shodor Education Foundation site, provides varied applets for group or individual exploration of concepts from middle school. For example: Understanding Experimental Probability, Racing Game with One Die, Spinner, Marbles, and Dice Table

Tossing a coin is an applet that simulates the tossing of a coin for varying numbers of tosses. The probability of tossing heads is graphed.

Understanding Experimental Probability, from the Shodor Education Foundation site, provides an applet for spinning a spinner with different numbers of sections of equal or varying sizes and for rolling pairs of dice, both standard and non-standard. Results are shown in tally charts.

Section 4: Developing Statistical Sense

There are no WEBCONNECTS in Section 4 of the Data Management and Probability Background and Strategies book.

Section 5: Problem Solving in Data Management and Probability

Sources of Other Problems (p. 160)


Figure This, an NCTM site, offers problems called Challenges for Families, with hints. Problems are indexed by title and by math topic. Both quick answers and full solutions are provided.

Math Mountain offers many problems for students in Grades 2–3 and 4–5 with hints and solutions. It also has links to its archived problems and to Web sites with math problems, puzzles, and tips.

NRICH, from University of Cambridge, focuses on a different topic each month. It offers many problems on the topic at various levels. Students are invited to submit solutions. As well, links to archived problems are provided.

Problem of the Week Math Contest offers weekly problems such as the Elementary Math Brain Teaser and Middle School Madness and invites students to submit answers. Those who answer correctly get their names posted. Students can also submit answers to past problems.

The Math Forum, from Drexel University, offers a problem of the week which is free. The next week, the answer is posted. Access to their library of problems of the week requires a paid membership.

Word Problems for Kids, from St. Francis Xavier University, offers challenging, non-traditional problems for students in Grades 5–12. Hints and answers are available.

Section 6: Communication in Data Management and Probability

Reading Opportunities in Mathematics (p. 174)

Children's Literature with Mathematical Possibilities lists children’s literature books by math topic. The topics are classification, counting, addition and subtraction, multiplication, fractions, big numbers, geometry, measurement, and general. The information provided includes author, date, title, and publisher.

Children’s Literature Books for Math lists the title, grade level, and a brief description of math-related books. The books can be ordered online from the Eisenhower National Clearinghouse for Mathematics and Science Education (ENC).

The Mathematics Council of the Alberta Teachers' Association (MCATA) Mathematics and Literature site lists children’s literature books for three math strands—number concept, shape and space, and data analysis—and general reference. The information provided includes author, title, publisher, and date.

Mathematics Vocabulary and Symbols (p. 177)

A Math Dictionary for Kids has definitions with examples in student-friendly language.

The Mathematics Glossary – Middle Years has definitions from the Saskatchewan Education document Mathematics 6–9: A Curriculum Guide for the Middle Level. The definitions were designed to be meaningful to middle-level mathematics teachers. Some definitions have examples.

The Math Dictionary offers concise definitions to mathematical terms. Some definitions have links to illustrated examples.

 

Section 7: Assessment and Evaluation in Data Management and Probability

 Other Resources (p. 204)

The Kid-Friendly Problem Solving Rubric is a seven-level problem solving rubric in student language.

The Math Problem Solving Rubric is a five-criteria, four-level problem solving rubric for teachers.

Principles for Fair Student Assessment is an assessment document from the Faculty of Education of the University of Alberta.

Section 8: Differentiating Instruction in Data Management and Probability

Strategies for Motivated and Gifted Learners (p. 220)

Aunty Math offers challenging problems for students in Grades K–5. Students are invited to submit their solutions. There are options for more difficult or easier problems as well as tips for teachers and parents.

Explore Your Knowledge offers questions for students in Grades 4 and 8 in math (other subjects are also available; select from the drop-down menu). The questions are from the Trends in International Mathematics and Science Study (TIMSS). Students can select the number of questions they want to try. Answers are provided.

Figure This, an NCTM site, offers problems called Challenges for Families, with hints. Problems are indexed by title and by math topic. Both quick answers and full solutions are provided.

MATHCOUNTS is a coaching and competition program for middle school. Even without registering your school to participate, you can take advantage of several free problem-solving features. There is a problem of the week, with the solution provided the next week, links to archived problems, and links to Web sites with math problems.

Math Mountain offers many problems for students in Grades 2–3 and 4–5 with hints and solutions. It also has links to its archived problems and to Web sites with math problems, puzzles, and tips.

Math Olympiads for Elementary and Middle Schools offers contests for Grades 4–6 and 7–8. Before registering a team of students, you can view a sample test at each level online. There is also a problem of the month, with the solution provided the next month.

NRICH, from University of Cambridge, focuses on a different topic each month. It offers many problems on the topic at various levels. Students are invited to submit solutions. As well, links to archived problems are provided.

Problem of the Week Math Contest offers weekly problems such as the Elementary Math Brain Teaser and Middle School Madness and invites students to submit answers. Those who answer correctly get their names posted. Students can also submit answers to past problems.

Word Problems for Kids, from St. Francis Xavier University, offers challenging, non-traditional problems for students in Grades 5–12. Hints and answers are available.

 

Guide to the Developmental Map Table of Contents

Section 1: Introduction
Section 2: Phases of Development in Data Management
Section 3: Phases of Development in Probability

Section 1: Introduction

How PRIME Complements Curriculum (p. 4)

Curriculum correlations that relate CAMET (Council of Atlantic Ministers of Education and Training) Kindergarten to Grade 6 curriculums to the Developmental Map are provided to show how each developmental map relates to and complements curriculum.

Curriculum correlations that relate Ontario Kindergarten to Grade 6 curriculums to the Developmental Map are provided to show how each developmental map relates to and complements curriculum.

Section 2: Phases of Development in Data Management

Supporting Students in Phase 3, How Parents Can Help (p. 61)

Animal Kingdom Record Book offers data about record-breaking animals (the heaviest, smallest, slowest, rarest, and so on) by type (mammals, fish, and so on).

 

The Canadian Football League (CFL) site offers current information about the Canadian Football League and its teams.

The Guinness World Records site provides the latest data about records around the world in nature, sports and games, science and technology, etc.

 

The National Basketball Association (NBA) site offers current information about the National Basketball Association and its teams.

The National Hockey League (NHL) site offers current information about the National Hockey League and has links to team sites.

The Olympics is the official site of The Olympic Movement with information about past games and current activities.

Small Animals is a site with five bar graphs, a broken-line graph, and a scatter plot about some species of small animals. Students can interpret the data shown graphically.

Sports Statistics on the Web is a site that provides links to data sources about a wide range of sports.

The Statistics Canada site offers Canadian data about the economy, the land, the people, and the state. Community profiles contain free information about your community.

Supporting Students in Phase 4, How Parents Can Help (p. 77)

Animal Kingdom Record Bookoffers data about record-breaking animals (the heaviest, smallest, slowest, rarest, and so on) by type (mammals, fish, and so on).

 

Brain and Body Size offers data about the size of brains and various animals for students to investigate.

The Canadian Football League (CFL) site offers current information about the Canadian Football League and its teams.

Data and Story Library (DASL) is an online library of real-world data from a wide variety of sources.

The Guinness World Records site provides the latest data about records around the world in nature, sports and games, science and technology, etc.

 

The National Basketball Association (NBA) site offers current information about the National Basketball Association and its teams.

The National Hockey League (NHL) site offers current information about the National Hockey League and has links to team sites.

The Olympics is the official site of The Olympic Movement with information about past games and current activities.

Phone Graphs is a site with two double bar graphs for students to interpret about telephones in Canada and the Philippines.

Small Animals is a site with five bar graphs, a broke-line graph, and a scatter plot about some species of small animals. Students can interpret the data shown graphically.

Sports Statistics on the Web is a site that provides links to data sources about a wide range of sports.

The Statistics Canada site offers Canadian data about the economy, the land, the people, and the state. Community profiles contain free information about your community.

Consolidating and Extending Phase 4, Instructional Focus (p. 78)

eMINTS Misleading Graphs, from the eMINTS National Center sponsored by the Missouri Department of Elementary and Secondary Education and the University of Missouri Office of Academic Affairs, provides links to a variety of activities about misleading graphs for Grades 5 to 8.

Misleading Graphs from Google, results of a Google images search for misleading graphs, offers a wide variety of misleading graphs with great discussion potential.

Consolidating and Extending Phase 4, Instructional Focus (p. 79)

Bar Graph, from the Shodor Education site, is an applet for constructing bar graphs, where maximum and minimum values are entered rather than selecting a scale.

Bar Graphs, from the NCES Create A Graph site, is an applet for constructing bar graphs, where maximum and minimum values are entered rather than selecting a scale.

Circle Graph, from the Shodor Education site, is an applet for constructing circle graphs. Percents are shown but students enter raw data.

Create A Graph, from the NCES site, has various applets for creating graphs. For example, Bar Graphs, Line (Broken-line) Graphs, and Pie (Circle) Graphs.

Data and Probability Virtual Manipulatives is a source of data management and probability applets, including tools for creating bar graphs, pie (circle) graphs, histograms, and scatter plots.

Graphing Basketball Data offers an activity that guides students through using ClarisWorks to create broken-line graph of NBA rebound statistics.

Graphing International Data is a tool that can be used to create circle and bar graphs of data on a wide range of topics.

Histogram, from the Shodor Education site, is an applet for constructing histograms, where maximum and minimum values are entered rather than selecting a scale.

Line (Broken-line) Graphs, from the NCES Create A Graph site, is an applet for constructing broken-line graphs, where maximum and minimum values are entered rather than selecting a scale.

Pie (Circle) Graphs, from the NCES Create A Graph site, is an applet for constructing circle graphs.  Percents are not use. Students enter raw data.

Statistics and Probability Activities, from the Shodor Education Foundation site, provides varied applets for group or individual exploration of concepts from middle school. For example, Bar Graph, Circle Graph, and Histogram.

 

Section 3: Phases of Development in Probability
 
Supporting Students in Phase 2, Special Approaches for Older Students (p. 102)

Probability and Games is a site that offers four games involving dice. Each game has a probabilistic aspect and provides practice with other math skills as well.

Racing Game with One Die, from the Shodor Education Foundation site, is a car race game where students decide on which die rolls each car will move. The game can be used for predicting winners and for creating races to match qualitative probability descriptions (e.g., red car will win most of the time).

Consolidating and Extending Phase 3, Instructional Focus (p. 118)

WebConnects for Suggestion 1

Data and Probability Virtual Manipulatives is a source of data management and probability applets, including tools for simulating coin tossing and investigating probabilities of sticking with a decision or switching.

Marbles, from the Shodor Education Foundation site, is an applet for selecting up to three marbles from various numbers of up to four colours of marbles. Various situations with and without equally likely outcomes can be simulated with this applet. Theoretical probabilities are also shown.

Box Model, from the NCTM Illuminations site, provides a statistical device that can be used to simulate standard probability experiments, such as flipping a coin and rolling a die, and to simulate any situation where there are from 2 to 12 equally likely outcomes. A sample coin flipping activity is presented.

Random Birthday is an applet that simulates birthdays to determine the experimental probability of two people having the same birthday.

Rolling a pair of dice, from the NCES Games and Activities site, is an applet that simulates the rolling of a pair of dice for varying number of rolls. The results as the sum of the two dice is shown graphically and in a table. Explanations of probability are provided.

Rolling Dice is an applet that simulates the rolling of different numbers of dice for varying numbers of rolls. The sum of the numbers on the dice is plotted.

Spinner, from the Shodor Education Foundation site, is an applet for spinning a spinner with up to 12 sections. Situations with up to 12 equally likely outcomes can be simulated with this applet. Theoretical probabilities are also shown.

Statistics and Probability Activities, from the Shodor Education Foundation site, provides varied applets for group or individual exploration of concepts from middle school. For example, Understanding Experimental Probability, Racing Game with One Die, Spinner, Marbles, and Dice Table

Tossing a coin is an applet that simulates the tossing of a coin for varying numbers of tosses. The probability of tossing heads is graphed.

Understanding Experimental Probability, from the Shodor Education Foundation site, provides applets for spinning a spinner with different numbers of sections of equal or varying sizes and for rolling pairs of dice, both standard and non-standard. Results are shown in tally charts.

 

WebConnects for Suggestion 2

Random Number Generator is a kid-friendly site which generates random numbers between 0 and 30.

Random Number Table is a random number table like the one in the Guide.