be your child’s coach - moe be_your... · 2016. 3. 7. · lues orld lued 1 st e n values...
TRANSCRIPT
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Be Your Child’s Coach
Mathematics Workshop for
P5 Parents
http://slimdowncoach.com/wp-content/uploads/2012/10/TheCoachEffect_01_335-300x2681.pnghttp://slimdowncoach.com/wp-content/uploads/2012/10/TheCoachEffect_01_335-300x2681.png
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VALUES
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soc
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&
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VALUED
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Purpose . Pupils . ExPerience . Professional Development . Partnership. 2
Together we
succeed
Parents
TeachersPupils
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VALUES
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Objectives of Workshop
a.To understand the challenges face by parents in coaching their child in Mathematics
b.To apply appropriate strategies in the teaching of problem solving
c. Approach - Experiential Learning
3
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VALUES
Sin
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soc
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&
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Parents as Co-Educators
♦ Importance of parent’s role in theeducation of the child
♦ Parents do not have to be teachers but they can be a coach
♦ Parents need to have a scope of some understanding of the topics or concepts at hand which is sufficient to get them started on coaching their children
4
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Strategies For Parents In Coaching
Do make it fun
Confidence
Curiosity
Courage
Do not punish your
child
Do provide problems according to their existing knowledge
Do translate it into something
they can understand
Reinforcement
Focus on the child’s progress or
mathematical ability
5
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4 Basic Steps to Problem Solving
Search (look for clues)
Explore (think about a plan)
Action (carry out the plan)
Look Back (check)
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Understanding the problem
Think of a plan (choose a heuristic)
Carry out the plan
Needs modification/a new plan?
Is the answer reasonable?
Checking
No
Yes
No
Yes
Look Back (Reflection)
Look Back (Reflection)
- Improving on the method used.
- Seeking alternative solutions.
- Extending the method to other problems
A Model for Problem Solving
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VALUES
Sin
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soc
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&
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VALUED
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Problem Solving Strategies
Thinking Skills Heuristics
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VALUES
Sin
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soc
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&
th
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VALUED
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Heuristics•Act it out•Restate the problem in another way•Use a diagram/model•Use tabulation•Make a systematic list•Look for pattern(s)•Work backwards•Use before-after concept•Use open sentence•Make a supposition•Simplify the problem•Solve part of a problem
Thinking Skills•Classifying•Comparing•Sequencing•Analysing parts and whole•Identifying patterns and relationship•Induction•Deduction•Spatial Visualisation
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VALUES
Sin
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soc
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&
th
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Ali has $96 less than Ben.
Chitra has $302 more than the total
amount that Ali and Ben have.
Chitra has $623 more than Ali.
How much money does Chitra have ?
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
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tury
W
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An
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d o
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
1 unit= 623 -96-302
= 225
Chitra :
Ali :
Ben : 96
96 302
623
?
Chitra ---- 225 + 623
= 848
Chitra has $848.
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VALUES
Sin
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po
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soc
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&
th
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VALUED
in t
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21
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tury
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Ali, Bala and Calvin shared a sum of money.
Ali had $350 more than Bala.
Calvin had three times as much money as
Ali and Bala had.
If they had $4 840 altogether, how much
more money had Calvin than Ali?
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
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tury
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
350 350 350
4 840
B :
350A :
C :
?8 units ---- 4 840 – (350 x 4)
= 3 440
1 unit ------- 430
More ---- 430 x 5 + 700
=2 850
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
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tury
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d o
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Mr Leo had 1 200 more stamps than
Jane.
When Jane gave 400 stamps to him, he
had five times as many stamps as Jane.
How many stamps did Mr Leo have at
first ?
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
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pla
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An
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d o
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
1200
4 units ----- 400 + 1200 + 400
= 2 000
1 unit ------ 2000 ÷ 4 = 500
Mr Leo ---- 500 x 5 – 400
= 2 100
Leo:
Jane: 400
400
AfterMethod 1
4 units
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VALUES
Sin
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soc
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&
th
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VALUED
in t
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
400
400
1 200
1 unit
1 unit 4 units
4 units = 400 + 1200 + 400
= 2 000
1 unit = 500
Mr Leo ---- (500 x 5) – 400
= 2 100
L:
J:
Method 2Before
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VALUES
Sin
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soc
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&
th
e w
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VALUED
in t
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21
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
John had $95 more than Jane.
John spent $15 and Jane received $8 from
her mother.
Then John had 4 times as much money
as Jane.
How much did John have at first?
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
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pla
ce
An
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ore
d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
95
3 units = 95 – 8 – 15
= 72
1 unit = 72 ÷ 3= 24
John at first ---- 24 x 4 + 15
= 111
John:
Jane: 8
15
AfterMethod 1
8
3 units
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VALUES
Sin
ga
po
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soc
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&
th
e w
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VALUED
in t
he
21
stC
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Before:
John:
Jane :
After:
John:
8
15
953 units = 95-15-32
= 48
Jane:
8 8 8 8
1 unit = 16John– 16+95
= 111
95
1 unit
3 units
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
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pla
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An
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d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
Ken had 4 times as many marbles as
David.
After David bought 24 marbles and
Ken gave 60 of his marbles to his
sister, both boys had an equal number
of marbles.
How many marbles did David have in
the end?
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
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tury
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An
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
End
David:
Ken :
At first
David:
Ken :
24
60
1u
241u
3u
?
3 units = 24+60 1 unit = 28=84 David--- 28+24=52
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
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pla
ce
An
ch
ore
d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
Jane had 5 times as many stamps as
Ken at first.
After Ken bought 24 more stamps and
received 64 stamps from Jane, both
of them had the same number of
stamps in the end.
How many stamps did Ken have at
first?
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
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pla
ce
An
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ore
d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
End
Jane:
Ken :
At first
Jane:
Ken : 24
64
641u
1u
4u
?
4 units = 24+64+64= 152
Ken--- 152÷4 =38
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
ork
pla
ce
An
ch
ore
d o
n
VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
Mrs Lim made 300 tarts.
She sold 3
4of them and gave
1
3of the
remainder to her neighbour.
How many tarts had she left?
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
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An
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d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
300
neighbour
sold
?
3 big units = 300 ÷ 4= 75
1 small unit = 75÷3 = 25
2 small units = 25 x 2=50
She had 50 tarts left
Method 1a
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
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pla
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An
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ore
d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
300
soldgave ?
left
12 units = 3001 unit = 300 ÷ 12
= 252 units = 25 x 2
=50
She had 50 tarts left
Method 1b
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
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pla
ce
An
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d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
1
4
1
12
1
3x
2
3x 1
41
6
300
3
4
1
4
sold left
gave left
Left ----- 300 ÷6 =50
She had 50 tarts left
Branching
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VALUES
Sin
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soc
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&
th
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VALUED
in t
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d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
Mavis spent 1
4of her money on a book
and 2
5of the remainder on food.
She had $9 left.
How much did she have at first?
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
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W
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An
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d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
book
$9
?
food
3 small units = 91 small unit = 9÷3
= 35 small units = 3 x 5
=15
3 big units = 151 big unit = 15÷3
= 54 big units = 4 x 5
=20
She had $20 at first.
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
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W
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An
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
money
1
4
3
4
book left
3
4
6
20
2
5x
3
5x 3
49
20
food Left-$9
Branching
9
20---- 9
15
20---- 15
3
4----- 15 Money---- 15÷3 x 4 =20
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VALUES
Sin
ga
po
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soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
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tury
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Mrs Lee bought some oranges.
She used half of them plus 2 to make some juice.
She then used half of the remainder plus 1 more to make jam.
She gave half of what is left plus 4 more to her sister and had 5 oranges left.
Find the number of oranges Mrs Lee bought.
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
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An
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d o
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VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.
juice
2
jam
1
sis
5 oranges left
4
?
1 unit – 9 (green)
2 units – 18
1 unit – 19 (blue)
2 units – 38
1 unit – 40 (pink)
2 units – 80
Mrs Lee bought 80 oranges.
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VALUES
Sin
ga
po
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soc
iety
&
th
e w
orld
VALUED
in t
he
21
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
In a Mathematics test, there are 50 multiple-
choice questions.
4 marks are awarded for each correct answer and
2 marks are deducted for each incorrect answer.
Emily answered all 50 questions and she scored a
total of 92 points.
How many questions did she answer correctly ?
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
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An
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Correct Wrong Total marks
Check
25 x 4 =100 25 x 2 = 50 100-50=50
30 x 4 =120 20 x 2 =40 120-40=80
32 x 4 =128 18 x 2 =36 128-36 =92
She answered 32 questions correctly.
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
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tury
W
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An
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Purpose . Pupils . ExPerience . Professional Development . Partnership.
Maximum marks if all questions answered correctly --- 50 x 4
= 200
Marks lost ---------- 200 -92
=108
1 wrong answer, marks lost ------- 4 + 2
= 6
No. of wrong questions ---------- 108 ÷ 6
=18
No. of correct questions ---------- 50 – 18
=32
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VALUES
Sin
ga
po
re,
soc
iety
&
th
e w
orld
VALUED
in t
he
21
stC
en
tury
W
ork
pla
ce
An
ch
ore
d o
n
VALUES
Purpose . Pupils . ExPerience . Professional Development . Partnership.