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College Mathematics Speaker: Wang Jing School: School of Physical and Mathematical Sciences Nanyang Technological University
Strategies and theories 
Theories: 
Strategies: 
Classroom: 
Gardener 
Problem -based Co-operative -based 
Laissez -faire
Famous proverb: 
Give a man a fish and he will eat for a day, Teach 
a man to fish and he will eat for the rest of his life. 
Main:Strategies 
Why problem-based and co-operative-based strategies entail?. 
Answer: they can make student study initiatively but not passively. This is vey useful not only for the course of College Mathematics but also for their future
What we need to take care? 
Take to much time 
May out of control 
Make them have enthusiasm 
At the same time, we must not only solve questions and explain problems, but also let them master method to solve similar questions.
To show this more clearly - example 
Example 1: 
From L to R, there are five switches, the probability for each switch closed is p, and they are independent with each other. The probability from L to R is through?
How to solve to problem? 
(1)Ask students to discuss with each other 
(2)This problem belong to what kind of probability 
(3)What formula will be used 
(4)Ask some students to the blackboard 
We need do……
( | ) ( ) P A A3  P A1A4  A2A5 
2 4  2p  p 
( | ) {( )( )} 3 1 2 4 5 P A A  P A  A A  A 
( | ) ( ) ( ) 3 1 2 4 5 P A A  P A  A P A  A 
2 2  (2p  p ) 
( ) ( | ) ( ) ( | ) ( ) P A  P A A3 P A3  P A A3 P A3 2 3 4 5  2p  2p 5p  2p 
Two situations: 3 is open 
or not: 
Result: 
Formula: P(AB)=P(A)P(B), 
{ 1 2 ... n ) 1 ( 1 ).... ( n ) P A  A   A   P A P A
Why would this strategy 
work? 
Encourage inquiry and learning through the search for information 
Encourage independent learning 
Practice their thinking skills when they try them best to find answers 
Gain confidence from discuss with their classmates 
Improve relationship with their peers
Conclusion 
Use problem-based and co-operative based strategies 
Those days: few students can try their best to study and do their work. So a Ta even the lecture should make his students fell the pleasure of study. Especially like college Mathematics, almost all university students must learn something related to this. Otherwise, The will not pay their attention to your lecture or even not do homework. 
At the same time, a teacher should be like a gardener, he or she should teach something not only related to courses but also related to life. A teacher should be friend with his students, too.

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Use problem based and co-operative based strategies - teaching method

  • 1. College Mathematics Speaker: Wang Jing School: School of Physical and Mathematical Sciences Nanyang Technological University
  • 2. Strategies and theories Theories: Strategies: Classroom: Gardener Problem -based Co-operative -based Laissez -faire
  • 3. Famous proverb: Give a man a fish and he will eat for a day, Teach a man to fish and he will eat for the rest of his life. Main:Strategies Why problem-based and co-operative-based strategies entail?. Answer: they can make student study initiatively but not passively. This is vey useful not only for the course of College Mathematics but also for their future
  • 4. What we need to take care? Take to much time May out of control Make them have enthusiasm At the same time, we must not only solve questions and explain problems, but also let them master method to solve similar questions.
  • 5. To show this more clearly - example Example 1: From L to R, there are five switches, the probability for each switch closed is p, and they are independent with each other. The probability from L to R is through?
  • 6. How to solve to problem? (1)Ask students to discuss with each other (2)This problem belong to what kind of probability (3)What formula will be used (4)Ask some students to the blackboard We need do……
  • 7. ( | ) ( ) P A A3  P A1A4  A2A5 2 4  2p  p ( | ) {( )( )} 3 1 2 4 5 P A A  P A  A A  A ( | ) ( ) ( ) 3 1 2 4 5 P A A  P A  A P A  A 2 2  (2p  p ) ( ) ( | ) ( ) ( | ) ( ) P A  P A A3 P A3  P A A3 P A3 2 3 4 5  2p  2p 5p  2p Two situations: 3 is open or not: Result: Formula: P(AB)=P(A)P(B), { 1 2 ... n ) 1 ( 1 ).... ( n ) P A  A   A   P A P A
  • 8. Why would this strategy work? Encourage inquiry and learning through the search for information Encourage independent learning Practice their thinking skills when they try them best to find answers Gain confidence from discuss with their classmates Improve relationship with their peers
  • 9. Conclusion Use problem-based and co-operative based strategies Those days: few students can try their best to study and do their work. So a Ta even the lecture should make his students fell the pleasure of study. Especially like college Mathematics, almost all university students must learn something related to this. Otherwise, The will not pay their attention to your lecture or even not do homework. At the same time, a teacher should be like a gardener, he or she should teach something not only related to courses but also related to life. A teacher should be friend with his students, too.