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Teaching Maths and Numeracy to Today's Child

Assignment 1:- The World of Maths
by

Cathi Cripps

on 27 September 2014

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Transcript of Teaching Maths and Numeracy to Today's Child

Teaching Maths and Numeracy to Today's Child



“Mathematics is abstract and platonic,offering absolute truths about relations among ideal objects" Steen, L. A. (2001).Pp 11

“Numeracy,is concrete and contextual,offering contingent solutions to real problems about real situations"
Steen, L. A. (2001). pp 11

When teaching fractions to children you could make a cake. Cake making requires understanding the concepts of Maths equations fractions, amounts, volume, capacity and measurement.
Numeracy, according to National Numeracy,(2013), requires you to analyse, compare, make calculations of fractions , collect and classify data to apply problem solving and reasoning skills.
These are some of the skills needed to follow a recipe and to ensure the cake looks and tastes like a cake.
And later reflection on the information gathered and analysed, skills learned this ensure the child can draw on this learning in other situations.


For a child to apply these skills and follow a recipe requires language and literacy skills to read measurements, methods and amounts from a recipe.
It is believed and backed up by research,National Numeracy,(2013), that adults with good numeracy skills do better in life than those who don't. A teacher's role for the future would surely be to ensure that good mathematical and numeracy skills are taught early.
As a Teacher your role would be to assist the child with this by making flash cards of fractions with images of ingredients, mixing methods and cooking time and discuss this with the children before you start cooking . Display these in the cooking area at the child’s eye level.
Verbal prompting towards the display may be necessary during the process.


Teaching Maths and Numeracy in Gardeningfor Year One's
Teaching Maths and Numeracy to Today’s Child
Teaching the Values of Currency with Year One's

Teaching Maths and Numeracy to Today’s Child


When teaching children the value of money, Maths provides the concepts of counting, recognising numbers and the value of coin or notes .
Numeracy provides the how to by way of budgeting, analysing, comparing, classifying data and applying this knowledge to know how much you will need to buy a certain item. And in later life learning about interest and compound interest.
In daily life, these basic skills are paramount. How would you be able to analyse how much money you need if the denomination of the notes and or coins you do have is more or less than you need. These are skills known as Functional Numeracy according to (National Numeracy, 2013)
How could you as a teacher go about teaching children the value of coins and notes?



Teaching Maths and Numeracy to Today’s Child
By Catherine Cripps
Teaching Maths and Numeracy to Today’s Child

When the process of cooking is
complete collaborate with the retrieved from http:// ww.dmcal24.weebly.com
children to work out how many
pieces of cake you would need
to ensure each child in the group
receives a piece. For example, 6
children are in the group, divide this equally
among the group means each child receives 1/6th.
of the Cake. For example only three children want
cake what fraction of the cake would be left?
Answer- ½



Numeracy in the kitchen: - Cooking with fractions in small groups for year 1’s.
Teaching Maths and Numeracy to Today’s Child


Teaching children about money and it's values begins with counting and recognising numbers and numeracy is recognising and describing and placing in order Australian coins according to their value states, ACARA, (2011), The Australian Curriculum. ,Mathematics / Year 1 / Number and Algebra / Money and financial mathematics Code
ACMNA017

You would then apply the Maths concepts of recognising coin and dollar amounts, using addition and subtraction together with the Numeracy skills of problem solving and reasoning to work out if you have enough money to buy everything you need for example when doing the weekly shopping.







Sources:- Youtube,Australian coins Lesson 1. Simms,K (2011)
Teaching Maths and Numeracy to Today’s Child
Teaching Maths and Numeracy in Gardeningfor Year One's
Nature and Fibonacci numbers
Teaching Maths and Numeracy to Today’s Child
Teaching Year One's How to Tell The Time
Teaching Maths and Numeracy to Today’s Child
Honey Bees and Fibonacci numbers
Teaching Maths and Numeracy to Today’s Child
Teaching Maths and Numeracy to Today’s Child
Honey Bees and Fibonacci Numbers
Teaching Maths and Numeracy to Today’s Child

Assisting children in making sense and understanding maths concepts of periods of time can be fun and many games can be made and played both with or without technology.




References Page 2
Numeracy in the kitchen: - Cooking with fractions in small groups for Year One's.
Teaching Maths and Numeracy to Today’s Child
Teaching Maths and Numeracy in Gardening for Year One's
Using skills of Multiplication and measurement, and numeracy skills of ensuring the patch is in the right position for the sun.In analysing these requirements you would not only need to apply maths and numeracy skills but also apply language and literacy skills to make plans, analyse measurements and amounts and read the information on the plants, seeds and soil.
Teaching Maths and Numeracy to Today’s Child
How does a honey bee relate to Fibonacci numbers?
Within a honey bee hive there are many bees known as a colony.
The family tree of a honey bee is constructed like this:-
• 1 Queen who is female and has two parents.
• Many worker bees who are female but do not produce eggs.
• Many drone bees who are male but do not work.
Males are the product of the queen's unfertilised eggs and only have mother and no father having one parent
Female bees are the fertilised eggs of the queen bee after mating with a male bee thus having two parents.
Most females are workers but some are fed a substance called royal jelly and these bees becomes queens and fly off to make new hives.

Teaching the Values of Currency with Year One's
Teaching the Values of Currency with Year One's
The children want to plant a vegetable garden how would you teach this at a year 1 level?
Firstly, you would need to understand the Maths skills of understanding numbers, counting and measurement skills required.
Numeracy skills are applied to analyse from your budget how big the garden patch can be, or how many containers or pots you need. And the amount of soil required or how many plants you will need for the space .
Similarly maths and numeracy require a
year one child to have a degree
of language,literacy and
communication skills to do this and a
teachers' guidance and assistance may
be required.
According to Arthur Steen, L.(2001) if
we concentrated on teaching problem
solving, reasoning and mathematics
instructions,students would be better
prepared in unfamiliar situations.







The Year one child would then need to apply mathematical measurement skills together with numeracy skills of analysing sorting, comparing and reasoning to determine how deep the plants need to be planted and how far to space them.
And also be able to determine how much water they need and sun which require both mathematical and numeracy skills along with language and literacy skills.
For example if you were using a 1.2 metre x 1,2 metre vegetable patch would need to find the space in the garden for it, measure out the space and work out what you want to plant in it, check how far apart the plants need to be and then you can work out how many plants you need with the children. Using skills of Multiplication and measurement, and numeracy skills of ensuring the patch is in the right position for the sun.

Source www.etspeaksfrom home.co.uk by Eileen Teo- Project Two: On a small designated garden space with polly pansy. Last accessed1/12/13.
L
et's look at the family tree of a male drone bee.

1.He had 1 parent, a female.

2.He has 2 grand-parents, since his mother had two parents, a male and a female.

3.He has 3 great-grand-parents: his grand-mother had two parents but his grand-father had only one.

4.How many great-great-grand parents did he have?
Again we see the Fibonacci numbers.

great- great,great gt,gt,gt
grand- grand- grand grand
Number of parents: parents: parents: parents: parents:
of a MALE bee: 1 2 3 5 8
of a FEMALE bee: 2 3 5 8 13
What is the Fibonacci Sequence?
It is the series numbers 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, .....
The next number is found by adding the two numbers preceeding it.i.e.
0+1=1, 1+1=2,1+2=3,2+3=5,3+5=8,5+8=13, 8+13=21,13+21=34 and so forth.
source:- www.mathsisfun.com/numbers/fibonacci-sequence.

So as Dee Duckshun from www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html‎ states, This means there are more bees alive than there we before in previous generations.
Unlike Human family trees which belong to another sequence of numbers which means the further back you go in the generations the more people there were!
So as Dee Duckshun from www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html‎ asks the question "Does this mean the world is getting smaller as time goes on? Is she right? Ask your Maths teacher or someone who knows!"
Here is a way to teach a Year 1 student the basics of telling the time in a fun way with rhyme .
Or can you come up with your own rhyme?
Source Teacher Tipster(The Clock Song)retrieved from www. youtube.com

Telling the time for Year One's
Telling the time is an everyday part of life.
Telling the time is taught from the first formal year of schooling across Australia .Meaning it is a sequential skill from which new skills are taught and learned from a basic understanding a child already has. and according to Fletcher,D,( ) this deemed and umbrella topic from which emanates an assortment of cognitive skills which are needed to be learned in the early years of a chid's development.
For Mathematics The Australian Curriculum, ACARA, ( 2011 ) for a Year 1 child states that a child should have an understanding of and be able to use appropriate language to communicate times. "Tell the time to the minute and investigate the relationship between units of time
ACMMG061."

Learning to tell the time tells us when to get up in the morning, when to brush our teeth and when to go to school .
For a Year 1 child for example, time is used to plan the events going on in their everyday life such as what time does school start,what time is recess, what time is lunch, when is it time to go home?

To assist a Year 1 Child you as a teacher could ask the children to draw numbers from 1-12 around a paper plate and section off each hour and colour them in. You could then use two crayons one for the hour hand and one for the minute hand and ask the child to demonstrate when school starts, when is recess.
Ask the children to test each other in pairs.






Numeracy in the kitchen: - Cooking with fractions in small groups for Year One's.
Teaching Maths and Numeracy to Today’s Child
Teaching Maths and Numeracy to Today’s Child
Teaching Year One's How to Tell The Time
Teaching Maths and Numeracy to Today’s Child
For example in this slide the YouTube clip begins by explaining currency values of coins and how many add up to $1 Dollar. You could teach this at a Year One Child's level
National Numeracy,(2013), states that being numerate is is about understanding number relationships and clarify answers not just performing calculations.
Teaching Maths and Numeracy to Today’s Child
Also knowing and understanding when paying for the shopping are you giving the right money and receiving the correct change.
Studies into maths are showing a decreasing decline over the last few decades, according to Beswick,K & Morony,W,(2013) state that we need to make maths and numeracy exciting for students to engage with and as a teacher the internet has now opened up many more opportunities than ever before where it can be made interesting and meaningful to children and later adults of the future.

Teaching the Values of Currency with Year One's
Source. retrieved from dmhttp://www.timemonsters.com/
Source www.etspeaksfrom home.co.uk by Eileen Teo- Project Two: On a small designated garden space with polly pansy. Last accessed 1/12/13.

image source Vila ,C. (2011), Nature by Numbers. Retrieved fromwww.youtube.com
References Page 1

Arthur Steen,L.Mathematics and Numeracy: Two Literacies,One language.The Mathematics Educator.Journal of the Singapore Association of Mathematics Educators),6.1(2001) pp14.

Australian Curriculum, Assessment and Reporting Authority. Mathematics: Foundation to year 10 curriculum. Retrieved from http://www.australiancurriculum.edu.au/Mathematics/Curriculum/F-10?y=F&y=1&y=2&y=3&y=4&y=5&y=6&s=NA&s=MG&s=SP&layout=1.

Beswick, K. & Morony, W. (2013, March 11). OPINION: Maths equation now adds up to problems. Newcastle Herald. Retrieved from http://www.theherald.com.au/story/1356704/opinion-maths-equation-now-adds-up-to-problems/?cs=308

Duckshun, D ( ). Retrieved from www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html‎
Google image, http:// ww.dmcal24.weebly.com retrieved from googleimages.com.time monsters puzzle.com/time puzzle

National Numeracy. (2013). What is Numeracy. Retrieved from http://www.nationalnumeracy.org.uk/what-is-numeracy/index.html

Simms, K ( 2011),Australian Coins lesson 1,Retrieved from

Smith,( ), Teacher Tipster(The Clock Song). Retrieved from www. http://www.youtube.com/watch?v= &feature=player_detailpage


Steen, AL,(2001).Mathematics and Numeracy: Two Literacies, One language. The Mathematics Educator. Journal of the Singapore Association of Mathematics Educators), 6.1 pp14..

Steen, L. A. (2001). Mathematics and Numeracy: Two Literacies, One Language [web document]. Retrieved from http://www.stolaf.edu/people/steen/Papers/twolits.html.Pp14

Teo,E.( ),Project Two: On a small designated garden space with polly pansy. Retrieved from www.etspeaksfrom home.co.uk

Teo,E.( ),Project Two: On a small designated garden space with polly pansy. Retrieved from www.etspeaksfrom home.co.uk

Vila ,C. (2011), Nature by Numbers. Retrieved from





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