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Tips to Help You Write a Reputable Term Paper

Term documents are an important part of any academic program and are often needed for every class taken. Long-term papers is not an easy job, however, since they’re usually written in fantastic detail and need quite keen scrutiny. It is not unusual to invest many hours trawling through term papers and essay subjects simply to locate the one

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Two Top Strategies For Slots – Maximize Your Chances Of Success

Slot machines are ideal for internet gaming because they’re simple to learn and quick to pick up on, and fantastic pleasure to play on. If you’re new to online slot games, follow the suggestions below and you’ll soon be playing like an expert in no time at all. Good luck!

The first idea for playing online slot machines would be

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Employing a Research Paper Writer On Your Paper

Writing a research paper can be an overwhelming job. There are lots of tools online that can allow you to write it but before you use those you should think about using a research paper writer. One of the reasons that individuals find research papers difficult to compose is because they just do not understand where to begin.

You want

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Reyansh Get’s 1st Rank in SOF Math Olympiad

Congratulations to Reyansh on this amazing achievement.

Wishing him all the best in his future endeavors.

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Teaching Fractions – The SAM Way (Video Tutorial)

This video illustrates how children at S.A.M are encouraged to solve word problems on Fractions logically using bar models

 

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What are Singapore Math Heuristics?

What are Singapore Math Heuristics?

Ever tried to help your child with primary math homework and got stumped? Today’s math questions can be challenging – even for adults.

Math education is changing. While many parents spent time memorising procedures and formulas, today’s students are expected to not only understand and master the concepts, but also to have strong thinking skills and problem-solving skills to solve complex math questions.

As new concepts and strategies are being taught, and homework turns from arithmetic exercises to using multiple ways to solve a math word problem, you may feel unsure or have no idea how to help your child.

In this series, the curriculum team at Seriously Addictive Mathematics (S.A.M) shares expert tips on math heuristics and how to use them to solve math word problems.

What are Math Heuristics?

Heuristics – a word that baffles many primary school students and their parents.

To define it simply, math heuristics are strategies that students can use to solve complex word problems.

Word problems can be solved in several ways using different heuristics, while some word problems are solved using a combination of heuristics.

To solve word problems efficiently, students must be familiar with both the problem-solving methods (heuristics) and the problem-solving process.

How many Heuristics are there?
In Singapore Math, there are 12 heuristics in the primary math syllabus that can be grouped into four main categories:

  • To give a representation: Draw a diagram/model, draw a table, make a systematic list
  • To make a calculated guess: Look for pattern(s), guess and check, make suppositions
  • To go through the process: Act it out, work backwards, use before-after concept
  • To change the problem: Restate the problem in another way, simplify the problem, solve part of the problem
What is the Problem-Solving Process?

Another important point to note is that Singapore Math adopts Polya’s four-step problem-solving process:

1. Understand the problem: What to find? What is known and unknown?
2. Devise a plan: Choose the most suitable heuristic
3. Carry out the plan: Solve the problem
4. Look back: Check the answer

So, how can we use heuristics to solve math word problems? Here are examples of word problems with solutions provided by the curriculum team at S.A.M.

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Heuristic: Act it out

Word Problem (Grade 1):

Alan, Ben and Carol are in the school’s Art Club. Their teacher, Mr Tan, wants two of them to join a contest. How many ways can Mr Tan choose two pupils?

Solution:

Alan and Ben, Alan and Carol, Ben and Carol.

Mr Tan can choose two pupils in 3 ways.

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Heuristic: Draw a diagram/modelWord Problem (Grade 3):The smaller of two numbers is 1217. The greater number is 859 more than the smaller number.

(a) What is the greater number?

(b) What is the sum of the numbers?

Solution:
The greater number is 1217 + 859 = 2076.

The sum of the numbers is 2076 + 1217 = 3293.

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Heuristic: Look for pattern(s)

Word Problem (Grade 1):

Draw the shape that comes next.

Solution:

Label all shapes, the pattern is in repeating blocks of A, B, C.

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Heuristic: Make a systematic list

Word Problem (Grade 2):

A shop sells apples in bags of 3. It sells lemons in bags of 4. Paul buys some bags of apples and lemons. He buys the same number of each fruit. He buys more than 20 and fewer than 30 pieces of each fruit. How many apples does Paul buy?

Solution:
Paul buys 24 apples.

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Heuristic: Guess and check

Word Problem (Grade 5):

Vijay is presented with the equations below. Insert one pair of brackets in each equation to make it true.
4 × 11 + 18 ÷ 3 + 6 = 46

Solution:
The equation is 4 x 11 + 18 ÷ (3 + 6) = 46.

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Heuristic: Restate the problem in another way

Word Problem (Grade 2):

There are some identical pens and erasers. 2 pens and 3 erasers are 45 centimetres long altogether. 6 erasers and 2 pens are 60 centimetres long altogether. What is the length of 3 erasers?

Solution:

If we subtract the total length of 2 pens and 6 erasers from that of 2 pens and 3 erasers, we get the length of 3 erasers.

60 cm – 45 cm = 15 cm

The length of 3 erasers is 15 cm.

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Heuristic: Solve part of the problem

Word Problem (Grade 6):

The diagram below shows 4 shaded triangles in Triangle ABC. All the triangles in the diagram are equilateral triangles. If the area of Triangle ABC is 64 cm2, find the total area of the shaded triangles.

Solution:
Triangle ABC is made up of 16 small equilateral triangles.
7 out of 16 small equilateral triangles are shaded.
7/16 × 64 = 28

The total area of the shaded triangles is 28 cm2.

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Heuristic: Simplify the problem

Word Problem (Grade 6):

The shaded figure below shows a semicircle and two quarter circles. Find the area of the shaded figure. (Take pi = 3.14)

Solution:
30 × 15 = 450

The area of the shaded figure is 450 cm2.

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Heuristic: Work backwards

Word Problem (Grade 3):

Darren had some stickers in his collection. He bought 20 more stickers and gave 33 stickers to his sister. He had 46 stickers left. How many stickers did Darren have in his collection at first?

Solution:

Label the changes as C1 and C2.

Before C2: 46 + 33 = 79
At first: 79 – 20 = 59

Darren has 59 stickers in his collection at first.

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Heuristic: Draw a table

Word Problem (Grade 4):

Janice wanted to distribute stickers equally among some children. If each child received 8 stickers, she would have 3 stickers left. If each child received 11 stickers, she would need another 9 stickers. How many children were there?

Solution:
Janice had 35 stickers. There were 4 children.

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Heuristic: Make suppositions

Word Problem (Grade 4):

Farmer James has some ducks, horses and cows on his farm. He has 30 ducks and cows altogether. The total number of legs the ducks and cows have is 82. The total number of legs the horses have is 28. How many ducks and how many cows are there on the farm?

Solution:

Suppose that James has 30 ducks.
30 × 2 = 60
30 ducks have 60 legs altogether.
82 – 60 = 22
The total number of legs is 22 less than the actual total number.
A cow has 2 more legs than a duck.
22 ÷ 2 = 11
James has 11 cows.
30 – 11 = 19

There are 19 ducks and 11 cows on the farm.

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Heuristic: Use before-after concept

Word Problem (Grade 5):

Ray and Sam each brought some money for shopping. The ratio of the amount of Ray’s money to the amount of Sam’s money was 3 : 4. After each of them bought a laptop for $1250, the ratio of the amount of Ray’s money to the amount of Sam’s money became 1 : 3. How much money did Sam bring for shopping?

Solution:
(8 – 3) = 5 units = $1250
8 units = $1250 ÷ 5 × 8 = $250 × 8 = $2000

Sam brought $2000 for shopping.

This is the first part to S.A.M Heuristics series. Look out for part two where we will share more expert tips on math heuristics.

Established in 2010, Seriously Addictive Mathematics (S.A.M) is the world’s largest Singapore Math enrichment program for children aged four to 12. The award-winning S.A.M program is based on the global top-ranking Singapore Math curriculum with a focus on developing problem solving and thinking skills.

The curriculum is complemented with S.A.M’s two-pillared approach of Classroom Engagement and Worksheet Reinforcement, with an individual learning plan tailored to each child at their own skill level and pace, because no two children learn alike.

Source: https://seriouslyaddictivemaths.com.sg/what-are-heuristics/

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SAM – Work From Home Opportunity

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Hellow Bengaluru and Mysuru – We Will be there in Your City

We are pleased to inform that we will be participating in the Franchise India exhibition to be held in Mysuru and Bengaluru to be held on Feb 26th, 2022 and Feb 27th, 2022 respectively.

 

 

 

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Some Happy Parents in March 2022

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Can IQ Be Improved By Doing Maths?

Intelligence quotient, or IQ for short, is the relationship between a person’s potential and the statistical normal of all possible results. How is IQ measured? They are tested based on a person’s concrete and abstract reasoning in subject ways, based on age and development norms.

It usually consists of a number of tasks measuring various measures of intelligence. These include short-term memory, analytical thinking, mathematical ability and spatial recognition. However, the purpose of an IQ test is not an attempt to measure the amount of information one has learned, but rather it attempts to measure their capacity to learn.

Not fixed at birth

IQ was initially considered to be genetic and fixed. However, a study at Michigan University revealed that at least one aspect of IQ measure can be improved. The researchers found that fluid intelligence, which is the ability to solve abstract problems without depending on previous knowledge, skills or experience, can be improved with specific and targeted training of working memory.

Understanding and dealing with a wide variety of abstract relationships between concepts, objects and things in our environment – also referred to as relational skill – is necessary for children and adults to function and perform at school, at work and in our daily lives. In academics, relational skills are necessary for math and language skills to emerge. The concept of more than or less than is one example of relational skill needed to understand mathematics.

How can we help our children have better relational skills?

Doing math will help because it develops their ability to notice relationships between numbers. A strong co-relation has also been found between a child’s relational skills and IQ scores. Through math practice, your child not only sharpens their relational skills, they also sharpen their own learning process and capacity to learn.

Building up on intelligence and IQ

A study by Stanford University School of Medicine found that personalised-tutoring, coupled with arithmetic practice helped children to remember better. The findings also suggest that when children are able to solve basic arithmetic problems from memory, their brain is more prepared to tackle more complex questions. So how can we ensure that our children start off with the right foundation?

Find an approach that combines the benefits of personalised training with the discipline of self-learning and self-discovery; an approach that is designed to introduce new concepts in incremental steps to make learning math easier.

However, practice alone is not enough, and practice with little understanding of the concepts can be ineffective. It is the brain storming process; the understanding of concepts, problem solving, critical thinking and logical reasoning, on top of personalised training and practice that deepens and improves their understanding.

Are these processes fostered in your child? Are they engaged in dialogue and encouraged to exercise problem solving, critical thinking and logical reasoning?

If your child has a low or average IQ score, don’t be disheartened.

It does not mean the scores will remain the same. It simply means there is potential for them to do better. Because intelligence and IQ can be improved. All you need is to exercise your brain.

And early exposure to math can go a long way.