Data Handling

Question 1

Data

Answer 1

Information

Question 2

Comparing

Answer 2

finding a relationship between two items based on a specific attribute

Question 3

Data collection

Answer 3

recording information collected during observations

Question 4

Elements

Answer 4

the parts of a set

(not necessarily concrete objects e.g. days of the week)

Question 5

Classifying

Answer 5

grouping or sorting according to properties such as size, shape, colour etc

Question 6

Attribute

Answer 6

property of an object/item which can be used to sort it

Question 7

Categories

Answer 7

groups formed according to shared attributes

Question 8

statistics

Answer 8

the collection, analysis, interpretation and presentation of information in a numerical format

Question 9

Name the stages of the data cycle

Answer 9

1. Problem and question
2. Collect and organise data
3. Represent data
4. Analyse and interpret data

Question 10

What occurs during the first stage of the data cycle?

Answer 10

A problem is described and a question is asked

Question 11

What questions can be asked to help you determine a plan for the problem and question?

Answer 11

• What do I want to find out?
• How will I get the information I need?
• What will I do with the information I collect?
• Who would the information be useful to?

Question 12

What occurs in the second stage of the data cycle?

Answer 12

Information is collected and organised (Recording data)

Examples:
- tables
- lists
- sorting objects (cluster graph)

Question 13

What occurs in the third stage of the data cycle?

Answer 13

The collected data is organised into a format that best showcases your information.

Examples:
- pictographs
- dot plots
- bar graphs

Question 14

What occurs in the final stage of the data cycle?

Answer 14

The data is read and used for exploration and reasoning.

Question 15

What are the ways in which data can be read?

Answer 15

• reading the data (finding information explicitly in the representation)
• reading between the data (interpreting mathematical relationships– comparing)
• reading beyond the data (extending, predicting)
• reading behind the data (connecting the data to the context)

Question 16

Example of a question reading between the data

Answer 16

• How many more..?

Question 17

What is the purpose of including data handling in the mathematics syllabus for the foundation phase?

Answer 17

• to develop citizens who can read and appreciate the value of statistics
• provide learners with the opportunity to use data to make decisions
• provide learners with the opportunity to answer questions and understand situations

Question 18

What is involved in reading the data?

Answer 18

finding information explicitly in the representation

Question 19

What does reading between the data involve?

Answer 19

-interpreting mathematical relationships
- comparing

Question 20

What is involved in reading beyond the data?

Answer 20

extending and predicting

Question 21

What is involved in reading behind the data?

Answer 21

connecting the data to the context

Question 22

What two skills do learners need to develop to be able to interpret data?

Answer 22

• read information directly from representations
• compare information in representations

Question 23

What is a list?

Answer 23

A list is a series of related words, numbers or other items…. A list may or may not be numbered, or organised in some logical way

Question 24

What is a tally chart?

Answer 24

Tally marks/ lines grouped by five

Question 25

What is a table?

Answer 25

A table has rows and columns for the information. Arepresentation which organises information using rows and columns.

Question 26

What is a bar graph?

Answer 26

A bar graph involves categories and counts of the number of people or things in a category (frequency).

Question 27

Sorting

Answer 27

the process of separating a larger group into two or more smaller groups

Question 28

Grouping

Answer 28

the process of placing two or more smaller groups into larger groups

Question 29

Handling objects, describing them and sorting them is...

Answer 29

The beginning of collecting data (part of physical knowledge)

Question 30

What forms part of social knowledge in data handling?

Answer 30

- sorting data into categories and explaining the reasoning behind the chosen categories - displaying data in a way that makes sense to others

Question 31

Collecting, sorting and representing objects is included in the FP to develop...

Answer 31

logical thinking skills

Question 32

Classification

Answer 32

the ability to group similar objects in sets according to an attribute/attributes

Question 33

set

Answer 33

a group of similar things/elements

Question 34

Objects suitable for sorting

Answer 34

- recyclable materials - cardboard shapes - greeting cards - emotion cards of different sizes and colours - buttons - plastic animal toys - natural items such as pinecones/sticks/flowers/leaves

Question 35

The higher levels of classification:

Answer 35

- multiple classification - class inclusion - hierarchical classification

Question 36

Multiple classification

Answer 36

Classifying things in more than one way, for example sorting shapes first by shape and then by size.

Question 37

Class inclusion

Answer 37

One class may be included within another (e.g. trees can be deciduous or evergreen)

Question 38

Hierarchical classification

Answer 38

Classes within classes (subgroups within other subgroups of a larger group) E.g. puppies c dogs c mammals

Question 39

Name some examples of representations

Answer 39

- cluster graph - dot plot - pictograph - bar graph - list - tally chart - table