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PSLE Mathematics Seminar for ParentsHenry Park Primary SchoolOrganised  by Henry Park Alumni AssociationMay 2010Yeap Ban HarNational Institute of EducationNanyang Technological University banhar.yeap@nie.edu.sg
IntroductionThis seminar focuses on the key competencies required to handle challenging mathematics problems at primary school level.
Part 1This section explains the PSLE format.
PSLE MathematicsPaper 1 (50 min)Paper 2 (1 hr 40 min)
Henry Park PSLE Seminar for Parents
Part 2This section explains the curriculum that the PSLE is based on.
PSLE Mathematics is Based on a Problem-Solving  Curriculum
Henry Park PSLE Seminar for Parents
rationale of the curriculumThe rationale of teaching mathematics is that it is “a good vehicle for the development and improvement of a person’s intellectual competence”.
Part 3This section explains that problem solving is a basic ability in the PSLE.
“Mathematical problem solving is central to mathematics learning.” Ministry of Education 2006
Ali paid for a 85-cent pen with a $5 note.How much change should he get?Answer: $__________Example 1
A show started at 10.55 a.m. and ended at 1.30 p.m. How long was the show in hours and minutes?Example 2
Prawns are sold at $1.35 per 100 g at a market. What is the price of 1.5 kg of prawns? $13.50 + $6.75 = $20.25Example 3
During a sale, mugs are sold in sets of 3 for $1.45. How much must Bala pay for buying 15 mugs during the sale?$1.45 x 5 = $14.50 ÷ 2 = $7.25Example 4
Sam had 295 eggs. He packed all the eggs into boxes of 9 with some left over. How many eggs are left over? 29527025295 ÷ 9 = (30 + 2) remainder 77 eggs are left overExample 5
Mr Tan rented a car for 3 days. He was charged $155 per day and 60 cents for every km that he travelled. He paid $767.40. What was the total distance that he travelled for the 3 days?$767.40 – 3 x $155 = $302.40$302.40 ÷ 60 cents per km = 504 kmExample 5
Mr Tan rented a car for 3 days. He was charged $155 per day and 60 cents for every km that he travelled. He paid $767.40. What was the total distance that he travelled for the 3 days?767.40 – 3 x 155 = 302.40302.40 ÷ 0.60 = 504 He travelled 504 km.Example 5
Find <y in the figure below.360o – 210o = 150o70 o70 oy70 oExample 6
Part 4This section explains that there are other competencies in mathematics learning e.g. practical skills.
Basic Skillscomputation and procedures is not everything
The height of the classroom door is about __.(1)  1 m(2)  2 m(3) 10 m(4) 20 mExample 7
Part 5This section explains the key competencies in solving challenging problems.
““… including non-routine, open-ended and real-world problems.”Ministry of Education 2006
MN = ABAB = BC (ABCD is a square)BC = PQPQ = MQ = NQSo, MN = MQ = NQTriangle MNQ is equilateral.Angle MNQ is 60o.Example 8
MN = Triangle AQP is isosceles. Angle MQP is 30o.Angles QMP is (180o – 30o) ÷ 2 = 75oAngles MPN is 2 x 75o = …Example 8
Part 6The ability to monitor thinking as students read – metacognition  as well as the ability to show working – communication are the other important competencies.
Mrs Hoon made some cookies to sell.  3/4 of them were chocolate cookies and the rest were almond cookies. After selling 210 almond cookies and  5/6 of the chocolate cookies, she had  1/5 of the cookies left.How many cookies did Mrs Hoon sell?almond cookies5/83/8210chocolate cookies1/53/8 – 1/5 = 7/40    210 1/40    30Example 1032/40    960She sold 960 cookies.
Example 11
Parents Up In Arms Over PSLE Mathematics Paper TODAY’S 10 OCT 2009SINGAPORE: The first thing her son did when he came out from the Primary School Leaving Examination (PSLE) maths paper on Thursday this week was to gesture as if he was "slitting his throat". "One look at his face and I thought 'oh no'. I could see that he felt he was condemned," said Mrs Karen Sng. "When he was telling me about how he couldn't answer some of the questions, he got very emotional and started crying. He said his hopes of getting (an) A* are dashed." Not for the first time, parents are up in arms over the PSLE Mathematics paper, which some have described as "unbelievably tough" this year. As recently as two years ago, the PSLE Mathematics paper had also caused a similar uproar. The reason for Thursday's tough paper, opined the seven parents whom MediaCorp spoke to, was because Primary 6 students were allowed to use calculators while solving Paper 2 for the first time. …Said Mrs Vivian Weng: "I think the setters feel it'll be faster for them to compute with a calculator. So the problems they set are much more complex; there are more values, more steps. But it's unfair because this is the first time they can do so and they do not know what to expect!" …"The introduction of the use of calculators does not have any bearing on the difficulty of paper. The use of calculators has been introduced into the primary maths curriculum so as to enhance the teaching and learning of maths by expanding the repertoire of learning activities, to achieve a better balance between the time and effort spent developing problem solving skills and computation skills. Calculators can also help to reduce computational errors." …Another common gripe: There was not enough time for them to complete the paper. A private tutor, who declined to be named, told MediaCorp she concurred with parents' opinions. "This year's paper demanded more from students. It required them to read and understand more complex questions, and go through more steps, so time constraints would have been a concern," the 28-year-old said.
Henry Park PSLE Seminar for Parents
chocolatessweets12Jim12181212121218Ken3 parts  12 + 12 + 12 + 12 + 18 = 661 part  22Half of the sweets Ken bought = 22 + 12 = 34So Ken bought 68 sweets.
Visualization – an intellectual competence -  is one of the most important ability in solving problems
Part 7Students have been given opportunities to develop visualization in the six years in primary school.
Learning Basic Skillsemphasis on visualization in the learning process
Henry Park PSLE Seminar for Parents
My Pals Are Here! Mathematics 4A
Shaping Maths 2A



Shaping Maths 4B
Catholic High School (Primary)
Part 8This section summarizes the five key competencies in mathematics.
9 cm26 cm2With visualization, one does not need to know a formula to calculate the area of a trapezium.
Keys Grade School Manila
P    S    L    E1     2    3    45     6    7    89    10  11  1213  14  15  16
Five Key CompetenciesVisualizationNumber SenseMetacognitionCommunicationPatterns – this was shown in the opening problem (see Beads Problem)
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Henry Park PSLE Seminar for Parents

  • 1. PSLE Mathematics Seminar for ParentsHenry Park Primary SchoolOrganised by Henry Park Alumni AssociationMay 2010Yeap Ban HarNational Institute of EducationNanyang Technological University [email protected]
  • 2. IntroductionThis seminar focuses on the key competencies required to handle challenging mathematics problems at primary school level.
  • 3. Part 1This section explains the PSLE format.
  • 4. PSLE MathematicsPaper 1 (50 min)Paper 2 (1 hr 40 min)
  • 6. Part 2This section explains the curriculum that the PSLE is based on.
  • 7. PSLE Mathematics is Based on a Problem-Solving Curriculum
  • 9. rationale of the curriculumThe rationale of teaching mathematics is that it is “a good vehicle for the development and improvement of a person’s intellectual competence”.
  • 10. Part 3This section explains that problem solving is a basic ability in the PSLE.
  • 11. “Mathematical problem solving is central to mathematics learning.” Ministry of Education 2006
  • 12. Ali paid for a 85-cent pen with a $5 note.How much change should he get?Answer: $__________Example 1
  • 13. A show started at 10.55 a.m. and ended at 1.30 p.m. How long was the show in hours and minutes?Example 2
  • 14. Prawns are sold at $1.35 per 100 g at a market. What is the price of 1.5 kg of prawns? $13.50 + $6.75 = $20.25Example 3
  • 15. During a sale, mugs are sold in sets of 3 for $1.45. How much must Bala pay for buying 15 mugs during the sale?$1.45 x 5 = $14.50 ÷ 2 = $7.25Example 4
  • 16. Sam had 295 eggs. He packed all the eggs into boxes of 9 with some left over. How many eggs are left over? 29527025295 ÷ 9 = (30 + 2) remainder 77 eggs are left overExample 5
  • 17. Mr Tan rented a car for 3 days. He was charged $155 per day and 60 cents for every km that he travelled. He paid $767.40. What was the total distance that he travelled for the 3 days?$767.40 – 3 x $155 = $302.40$302.40 ÷ 60 cents per km = 504 kmExample 5
  • 18. Mr Tan rented a car for 3 days. He was charged $155 per day and 60 cents for every km that he travelled. He paid $767.40. What was the total distance that he travelled for the 3 days?767.40 – 3 x 155 = 302.40302.40 ÷ 0.60 = 504 He travelled 504 km.Example 5
  • 19. Find <y in the figure below.360o – 210o = 150o70 o70 oy70 oExample 6
  • 20. Part 4This section explains that there are other competencies in mathematics learning e.g. practical skills.
  • 21. Basic Skillscomputation and procedures is not everything
  • 22. The height of the classroom door is about __.(1) 1 m(2) 2 m(3) 10 m(4) 20 mExample 7
  • 23. Part 5This section explains the key competencies in solving challenging problems.
  • 24. ““… including non-routine, open-ended and real-world problems.”Ministry of Education 2006
  • 25. MN = ABAB = BC (ABCD is a square)BC = PQPQ = MQ = NQSo, MN = MQ = NQTriangle MNQ is equilateral.Angle MNQ is 60o.Example 8
  • 26. MN = Triangle AQP is isosceles. Angle MQP is 30o.Angles QMP is (180o – 30o) ÷ 2 = 75oAngles MPN is 2 x 75o = …Example 8
  • 27. Part 6The ability to monitor thinking as students read – metacognition as well as the ability to show working – communication are the other important competencies.
  • 28. Mrs Hoon made some cookies to sell. 3/4 of them were chocolate cookies and the rest were almond cookies. After selling 210 almond cookies and 5/6 of the chocolate cookies, she had 1/5 of the cookies left.How many cookies did Mrs Hoon sell?almond cookies5/83/8210chocolate cookies1/53/8 – 1/5 = 7/40  210 1/40  30Example 1032/40  960She sold 960 cookies.
  • 30. Parents Up In Arms Over PSLE Mathematics Paper TODAY’S 10 OCT 2009SINGAPORE: The first thing her son did when he came out from the Primary School Leaving Examination (PSLE) maths paper on Thursday this week was to gesture as if he was "slitting his throat". "One look at his face and I thought 'oh no'. I could see that he felt he was condemned," said Mrs Karen Sng. "When he was telling me about how he couldn't answer some of the questions, he got very emotional and started crying. He said his hopes of getting (an) A* are dashed." Not for the first time, parents are up in arms over the PSLE Mathematics paper, which some have described as "unbelievably tough" this year. As recently as two years ago, the PSLE Mathematics paper had also caused a similar uproar. The reason for Thursday's tough paper, opined the seven parents whom MediaCorp spoke to, was because Primary 6 students were allowed to use calculators while solving Paper 2 for the first time. …Said Mrs Vivian Weng: "I think the setters feel it'll be faster for them to compute with a calculator. So the problems they set are much more complex; there are more values, more steps. But it's unfair because this is the first time they can do so and they do not know what to expect!" …"The introduction of the use of calculators does not have any bearing on the difficulty of paper. The use of calculators has been introduced into the primary maths curriculum so as to enhance the teaching and learning of maths by expanding the repertoire of learning activities, to achieve a better balance between the time and effort spent developing problem solving skills and computation skills. Calculators can also help to reduce computational errors." …Another common gripe: There was not enough time for them to complete the paper. A private tutor, who declined to be named, told MediaCorp she concurred with parents' opinions. "This year's paper demanded more from students. It required them to read and understand more complex questions, and go through more steps, so time constraints would have been a concern," the 28-year-old said.
  • 32. chocolatessweets12Jim12181212121218Ken3 parts  12 + 12 + 12 + 12 + 18 = 661 part  22Half of the sweets Ken bought = 22 + 12 = 34So Ken bought 68 sweets.
  • 33. Visualization – an intellectual competence - is one of the most important ability in solving problems
  • 34. Part 7Students have been given opportunities to develop visualization in the six years in primary school.
  • 35. Learning Basic Skillsemphasis on visualization in the learning process
  • 37. My Pals Are Here! Mathematics 4A
  • 44. Part 8This section summarizes the five key competencies in mathematics.
  • 45. 9 cm26 cm2With visualization, one does not need to know a formula to calculate the area of a trapezium.
  • 47. P S L E1 2 3 45 6 7 89 10 11 1213 14 15 16
  • 48. Five Key CompetenciesVisualizationNumber SenseMetacognitionCommunicationPatterns – this was shown in the opening problem (see Beads Problem)