CONNECTING DAY FIVE (5 April 2013)

Today it was on connecting dots and algebra. We did the activity on connecting dots and was confusing for me.

The first was to connect 4 dots to create polygons, which was later used to
figure out the area in square units. The next was filling in 5 sequential
numbers into 5 grids that were arranged in the form of a cross. The numbers
should be placed in such a way that when you add the 3 numbers in horizontal
direction and the 3 numbers in vertical direction, it gives the same answer.

He also talked about Dienne’s theory on using proportionate and non proportionate materials. This theory is only for Mathematics and not in general.It consists of the four principles as below:

 Dynamic principle:  Preliminary, structured activities using concrete materials should be provided to give necessary experiences from which mathematical concepts can be built eventually. Later on, mental activities can be used in the same way.

2. Constructivity Principle:  In structuring activities, construction of concepts should always proceed analysis.

3. Mathematical Variability Principle:  Concepts involving variables should be learnt by experiences involving the largest possible number of variables.

4. Perceptual Variability or Multiple Embodiment Principle:  In order to allow as much scope as possible for individual variations in concept-formation and to induce children to gather the mathematical essence of an abstraction, the same conceptual structure should be presented in the form of as many perceptual equivalents as possible.

Quoted from:

PFM 304 Mathematics Unit 1:  Issues in Primary Mathematics

HAPPY FRIDAY!

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ENRICHING DAY FOUR! ( 4 April 2013)

Can you solve 1/2 divided by 3/8? Well, I was not able to as my school days division have been forgotton. After Dr Yeap’s demonstration, I realised that it was easy and I did it!

He covered topics like area, multiplication and division. He highlighted that when teaching multiplication we have to use the CPA approach and also conduct enrichment to extend their learning under the same concept.

 The problem’s we solve today were funon tangrams. We had to visualise how to make a bigger shape using the smaller ones. Although I was confused at first, I did it at last!
 
Dr Yeap also explained on Assimilation and Accomodation which were Jean Piaget’s theory. He also explained on schema where children are allowed to do problem solving.
 
It is the 4th day of lesson and it very enriching.

PROBLEMATIC DAY THREE

On Day three, it was a day where fraction in word problem was taught. Dr Yeap showed how we create word problems from fraction. We used connectors to do the word problems for proper understanding. So far, I have been thinking that fractions are difficult to teach but when Dr Yeap explained with word problems, I was a bit clearer. He also explained that word problems are given to boost children’s thinking and is the first entry to deal with information. I agree that word problems boost thinking.  The day was fruitful for me as the understanding of fraction was made clearer.

We did activities on folding papers and it really stimulated me as it was fun. Although it was an easy activty, it engaged me to think on the ways!

REFRESHING DAY TWO (2 April 2013)

The 2nd day, 2 numbers were given to create addition stories. Dr Yeap did not give us the answer but keep on guiding us by scaffolding and providing samples.

Each group was given papers to create their stories and I was thinking that it was easy and I would be able to do it fast. There were different group answers which were put us for others to learn. They were:

Classic before after
eg: Lila has 8 pencils. Shanti gives her 6 more pencils. How many pencils does Lila have now?

Part whole problem
eg: Jolene has 8 sweets. Trace has 6 sweets. How many sweets do they have altogether.

Comparison
eg: I have $8. You have $6 more than me.

It was a fun way to learn and it really helped me to undertstand the concept further!

INTERESTING DAY ONE (1 April 2013)

When I first entered the class on day one, I was confused and unsettled on what I was going to learn and what is ‘Elementary Mathematics’ all about.  Dr Yeap, our trainer switched on a video on sesame street and this made go back to childhood memories. One of the topic for the day was using our name and counting the 99th letter in my name. This was unique as I have never doen it before and the answer was more interesting where those who have the same number of letters in their names have the letter in the same row as their 99th letter.

He also talked about the 4 stages of carrying out instruction which were modelling, scaffolding, providing the problem and explaining. This is true for me in my class as when my lessons are conducted, I do all these 4 steps to make sure the child understands.

The second problem was on cardinal and ordinal number where cards were used. The cards are in ordinal numbers as it is changed at all times. Dr Yeap explained that in order to know cardinal numbers, the child must have visual perception, one to one correspondence, rote counting and sorting.

The day went off smoothly and waiting for the other 5 days to pass off smoothly too!

ELEMENTARY MATHEMATICS

Mathematics is a subject which confuses me all time and makes me to be patient myself. It has been a subject which allows me to think and problem solve.
Chapter 1 is all about changes and constant effort by the National Council of Teachers of Mathematics (NCTM) to enhance the teaching and learning of the subject matter. Change is inevitable to have quality. The Principles and Standards makes us provide quality for my teaching practises. Teachers who are equipped with the knowledge of how their children learn mathematics will then “select meaningful instructional tasks and generalizable strategies to enhance learning” (Van de Walle, Karp & Bay-Williams, 2010). The five process standards is an important topic for children’s daiy activities. Only if teachers find it meaning, children feel the importance of mathematics.
For a person who don’t like Mathematics, Chapter 2 was an eye opener. When teaching Maths to my children, I struggle to make children undertstand as a whole. It is not something on a touch and go basis. The chapter made me realise that I can find alternative solutions for struggling readers. Reflective thought allows a child to make sense of the mathematics in a light way.(Van De Walle, Karp, Bay-Williams, 2013, p. 22). Mathematics has to be made and simplified in the simplest way for children to understand.

I personally feel that mathematics can be fun and interesting if we make it in a way where children find it like a games and something enjoyable. After reading Chapter 1 and 2, I think Mathematics can be integrated in any part of the child’s activity as it everywhere.

ELEMENTARY MATHEMATICS

Mathematics is a subject which confuses me all time and makes me to be patient myself.  It has been a subject which allows me to think and problem solve.

Chapter 1 is all about changes and constant effort by the National Council of Teachers of Mathematics (NCTM) to enhance the teaching and learning of the subject matter. Change is inevitable to have quality. The Principles and Standards makes us provide quality for my teaching practises. Teachers who are equipped with the knowledge of how their children learn mathematics will then “select meaningful instructional tasks and generalizable strategies to enhance learning” (Van de Walle, Karp & Bay-Williams, 2010). The five process standards is an important topic for children’s daiy activities. Only if teachers find it meaning, children feel the importance of mathematics.

For a person who don’t like Mathematics, Chapter 2 was an eye opener. When teaching Maths to my children, I struggle to make children undertstand as a whole. It is not something on a touch and go basis. The chapter made me realise that I can find alternative solutions for struggling readers. Reflective thought allows a child to make sense of the  mathematics in a light way.(Van De Walle, Karp, Bay-Williams, 2013, p. 22). Mathematics has to be made and simplified in the simplest way for children to understand.

 

I personally feel that mathematics can be fun and interesting if we make it in a way where children find it like a games and something enjoyable.  After reading Chapter 1 and 2, I think Mathematics can be integrated in any part of the child’s activity as it everywhere.