While teaching PSLE Math, I realised that ALL my students have problems with problem sums. I remembered last year, I was teaching a group of unmotivated Primary 6 students which more than half of them have failed their last Math exams. I was going through each problem sum, one by one, on the whiteboard with them. It was a long and painful process and it is not effective at all. Most of the students dozed off after a while or simply give up.
I wondered is there a way to group the problem sums into their respective solving methods. I am glad that there is. There are 8 methods which students must know to solve problem sums. I started teaching my students each method using examples, followed by giving them worksheets with questions that use the same method. Using this systematic teaching process, my students showed great improvements in their results. Most of them scored ‘A’ or ‘A Star’ for their PSLE Math exams. There is no secret. Here are the 4 steps:
1. Understand the question 2. Identify the correct method 3. Apply the method to solve the question 4. Check your answers
What are the 8 methods? 1. Model Drawing This is the most important and commonly used method in problem sums. This is especially useful for problem sums involving fractions which you need to cut the model into different parts and give them to another person.
2. Constant Part, Constant Total, Constant Difference For constant part, one side of the ratio changes while the other side remain unchanged. For constant total, there is an internal transfer from one side to another side. For constant difference, both sides of the ratio changes by the same amount.
3. Grouping This method is required when you need to group items into sets. Then divide the total cost by the cost of each set to find the total number of sets.
4. Excess and Shortage This method is for question which gives you an excess when you group items into smaller groups, and a shortage when you group items into larger group.
5. Units and Parts This is an algebra way of solving questions which you are given a starting ratio. Then, both sides of the ratio changes by different amounts, and you are given the final ratio.
6. Supposition Most students know this method as “Guess and Check”. However, I realised that this method is much faster and accurate. It requires you to make an assumption, followed by making small changes to reach your final goal.
7. Number X Value This method is applicable when you need to group items into different sets, with value in each set (For example money). It is similar to grouping but you are grouping with unequal items.
8. Work Backwards This method is required when you are given the final conditions, and you need to find the original numbers.
Are you interested to know more about these 8 methods?
If you want to learn further, check out my online course “8 Must Know Methods For Solving Math Problem Sums”. This is the first and only online course in Singapore that will teach you how to tackle problems sums in PSLE Math paper 2. For parents, you can simply sign up and let your child log in to the account to learn at his/her own free time.
8 Must Know Methods for Solving Math Problem Sums (Online Course for Primary 5 and 6 Students)Original Price: $99 Discounted Price: $49 Limited to the first 600 students only! (100 students left) What is this course about? This is the first and only online course in Singapore that will teach you how to tackle problems sums in PSLE Math paper 2. Who is this course for? This course is suitable for Primary 5 and 6 Students. Parents can enroll for this course and let your children watch the videos. Parents can learn from this course too so that they can help their children. Who is the course instructor? Mr Jimmy Ling, Director and Math Tutor of Intellicat Tuition School, is teaching the course. He graduated from NUS with a degree in Mathematics and has more than 10 years of teaching experience. He has helped many students to score ‘A’ and ‘A Star’ for their PSLE Math exams. What can you expect for this course? – A lifetime of coaching and mentorship from Mr Jimmy Ling (simply post your questions on the discussion boards.) – 2.5 hrs worth of videos and worksheets (More videos and worksheets will be added to this course throughout the years and you will have full access to it.) – Unlimited Lifetime access (Rewind and re-watch it anytime you want.) – Learn the 8 Must Know Methods for Primary School Mathematics Problem Sums – Learn how to UNDERSTAND problem sums by identifying key phrases – Learn how to IDENTIFY the correct method to solve the questions – Learn how to APPLY the method correctly to solve the questions – Learn how to avoid common mistakes – Learn how to check your answers – Topics covered are Whole Numbers, Fractions, Ratios and Percentage. After going through this course and practicing the worksheets given, you will be able to tackle most problem sums in your PSLE Math exams. 8 Must Know Methods for Solving Math Problem SumsOther Resources on PSLE Math PSLE Math – 5 Common Questions for Speed PSLE Maths – 5 Common Questions for Ratios
By Jimmy Ling Director, Math Tutor Intellicat Tuition School
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來自: 廖愛麗 > 《孩子學(xué)習(xí)》