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Playing to learn

Mathematics is a natural activity for children: they demonstrate a great capacity for learning mathematics long before they enter school.
Dr. Shaw (2002)
Classifying and sorting as a foundation for mathematical thinking
Classifying and sorting is the understanding that different objects have different attributes in which they can be organised by. When children are able to sort objects into different groups based on their attributes children are demonstrating logical thinking and beginning to gain understanding of how rules apply as well as noticing relationships between objects.
Learning about classifying and sorting can also provide them with examples of how to organise things in the real world. Activities such as setting the table for dinner or putting blocks away are examples of how classifying and sorting occur in the real world. Dr Shaw (2002)
What goes where?

Money sort

Another activity for sorting involves using plastic Australian coins. Students are given a mix coins of about 10 each and are told that the person to who gets rid of all of their coins first wins.
In the mat area lay 6 hoops out. Ask children to look at their coins and ask if they have any coins that are silver, very small and have the number 5 on it. If they do then they have to place their coin/s in the allocated hoop. Continue to describe different attributes of the different coins and let students place their coins in the hoops.
To help make the game a bit more exciting a timer is used which initially gives the students 30 seconds to find the coin/s and place it in a hoop. As students get better at the game the time can be reduced.
As the game gets played again and again you will notice students start to sort their coins into groups on their desks, so that they are better able to quickly get rid of their coins.
Other variations of this game involve using a dice with the coin quantities written on it. You roll the dice and students are only allowed to place one coin in a hoop at a time compared to before when they could place all of their 5cent coins down at once. This variation can then be considered as a game of Chance which still involves classifying and sorting.
Play can be regarded as an instructional tool whereby informal mathematical understandings develop and provide foundations for sophisticated mathematical thinking (Seo 2003).
Australian Curriculum
Content Description (ACMNA005)
Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings
Content Description (ACMMG009)
Sort, describe and name familiar two-dimensional shapes and three-dimensional objects in the environment.
Content Description (ACMNA017)
Recognise, describe and order Australian coins according to their value
This math’s activity involved children going outside and searching for 'Natural' things. As a group they discussed what the word natural meant before excitedly collecting a range of objects.
On numerous occasions the children would ask 'Is this natural?' or they would state 'This is natural because it's a rock!'
After gathering a pile of natural objects the students then went back to class. They were asked to choose an object and describe what it looked like. The teacher explained that we call these descriptions 'attributes' the teacher then asked how all of these objects could be sorted into groups with the same attributes. She demonstrated one way would be by organising all of the leaves into a group and all of the sticks in another and so forth. She asked students to share their ideas of groups the objects could be sorted into.
Many suggestions were given before everyone decided that colour was a good choice. The students then discussed together where the 'brown' pile was going to be and the 'green' pile. Students worked together to sort the objects into the appropriate groups.
Once this was finished they decided to rearrange the objects into groups of smooth and rough. More rearranging occurred after this also. The teacher stepped back and let the children lead and give reasoning why some objects should go where. When moments occurred the teacher would interject wondering questions or provide guidance for the children.
This video presented by 'ehow' gives an example of how sorting and classifying objects can be done in the classroom.
Early Years Learning Framework
OUTCOME 1: Children have a string sense of identity
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Children feel safe, secure, and supported
OUTCOME 2: Children are connected with and contribute to their world
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Children develop a sense of belonging to groups and communities and an understanding of the reciprocal rights and responsibilities necessary for active community participation
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Children become socially responsible and show respect for the environment
OUTCOME 3: Children have a strong sense of wellbeing
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Children become strong in their social and emotional wellbeing
OUTCOME 4: Children are confident and involved learners
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Children develop dispositions for learning such as curiosity, cooperation, confidence, creativity, commitment, enthusiasm, persistence, imagination and refl exivity
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Children develop a range of skills and processes such as problem solving, enquiry, experimentation, hypothesising, researching and investigating
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Children transfer and adapt what they have learned from one context to another
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Children resource their own learning through connecting with people, place, technologies and natural and processed materials
OUTCOME 5: Children are effective communicators
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Children interact verbally and non-verbally with others for a range of purposes
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Children begin to understand how symbols and pattern systems work
References
Dr. Shaw, J. (2002) Sorting, Classifying, and Patterning: Critical to Mathematical Understanding in Kindergarten. Retireved from http://www.google.com.au/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0CB0QFjAA&url=http%3A%2F%2Fwww.eduplace.com%2Fstate%2Fauthor%2Fshaw2_hmm05.pdf&ei=e3AvVKzXBoPv8gXU8oGICg&usg=AFQjCNFrGlPKHkrTODn5jirdRh_AxqYODg
Ashton, E. (2007) Early Learning and Childcare. Children’s Mathematical Thinking. Retrieved from http://www.google.com.au/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0CB0QFjAA&url=http%3A%2F%2Fwww.eccenb-sepenb.com%2Fuploads%2FWebsite_Assets%2FChildren_Math_Thinking.pdf&ei=U3UvVKH2HoOX8QXsioGICg&usg=AFQjCNHNfwa74IQTNoUvQdryfqRkzrX6VQ