SlideShare une entreprise Scribd logo
1  sur  9
Télécharger pour lire hors ligne
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.

Contenu connexe

Plus de greentask

从零学音乐 ---教你认识简谱
从零学音乐 ---教你认识简谱从零学音乐 ---教你认识简谱
从零学音乐 ---教你认识简谱greentask
 
三十年股票投资心得
三十年股票投资心得三十年股票投资心得
三十年股票投资心得greentask
 
Flash从零学起完整版
Flash从零学起完整版Flash从零学起完整版
Flash从零学起完整版greentask
 
Mba58个经典故事
Mba58个经典故事Mba58个经典故事
Mba58个经典故事greentask
 
100本名著浓缩成了100句话
100本名著浓缩成了100句话100本名著浓缩成了100句话
100本名著浓缩成了100句话greentask
 
《12小时哈佛商学经典》
《12小时哈佛商学经典》《12小时哈佛商学经典》
《12小时哈佛商学经典》greentask
 
管理心理学研究论文
管理心理学研究论文管理心理学研究论文
管理心理学研究论文greentask
 
Delaunay triangulation from 2-d delaunay to 3-d delaunay
Delaunay triangulation   from 2-d delaunay to 3-d delaunayDelaunay triangulation   from 2-d delaunay to 3-d delaunay
Delaunay triangulation from 2-d delaunay to 3-d delaunaygreentask
 
Dunbar’s conjecture for planar graphs
Dunbar’s conjecture for planar graphsDunbar’s conjecture for planar graphs
Dunbar’s conjecture for planar graphsgreentask
 
Maxwell's formulation - differential forms on euclidean space
Maxwell's formulation  - differential forms on euclidean spaceMaxwell's formulation  - differential forms on euclidean space
Maxwell's formulation - differential forms on euclidean spacegreentask
 

Plus de greentask (11)

从零学音乐 ---教你认识简谱
从零学音乐 ---教你认识简谱从零学音乐 ---教你认识简谱
从零学音乐 ---教你认识简谱
 
三十年股票投资心得
三十年股票投资心得三十年股票投资心得
三十年股票投资心得
 
Ps处理
Ps处理Ps处理
Ps处理
 
Flash从零学起完整版
Flash从零学起完整版Flash从零学起完整版
Flash从零学起完整版
 
Mba58个经典故事
Mba58个经典故事Mba58个经典故事
Mba58个经典故事
 
100本名著浓缩成了100句话
100本名著浓缩成了100句话100本名著浓缩成了100句话
100本名著浓缩成了100句话
 
《12小时哈佛商学经典》
《12小时哈佛商学经典》《12小时哈佛商学经典》
《12小时哈佛商学经典》
 
管理心理学研究论文
管理心理学研究论文管理心理学研究论文
管理心理学研究论文
 
Delaunay triangulation from 2-d delaunay to 3-d delaunay
Delaunay triangulation   from 2-d delaunay to 3-d delaunayDelaunay triangulation   from 2-d delaunay to 3-d delaunay
Delaunay triangulation from 2-d delaunay to 3-d delaunay
 
Dunbar’s conjecture for planar graphs
Dunbar’s conjecture for planar graphsDunbar’s conjecture for planar graphs
Dunbar’s conjecture for planar graphs
 
Maxwell's formulation - differential forms on euclidean space
Maxwell's formulation  - differential forms on euclidean spaceMaxwell's formulation  - differential forms on euclidean space
Maxwell's formulation - differential forms on euclidean space
 

Dernier

How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxmanuelaromero2013
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Krashi Coaching
 
Painted Grey Ware.pptx, PGW Culture of India
Painted Grey Ware.pptx, PGW Culture of IndiaPainted Grey Ware.pptx, PGW Culture of India
Painted Grey Ware.pptx, PGW Culture of IndiaVirag Sontakke
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxOH TEIK BIN
 
Pharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdfPharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdfMahmoud M. Sallam
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionSafetyChain Software
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTiammrhaywood
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityGeoBlogs
 
Science 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its CharacteristicsScience 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its CharacteristicsKarinaGenton
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Sapana Sha
 
Final demo Grade 9 for demo Plan dessert.pptx
Final demo Grade 9 for demo Plan dessert.pptxFinal demo Grade 9 for demo Plan dessert.pptx
Final demo Grade 9 for demo Plan dessert.pptxAvyJaneVismanos
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxGaneshChakor2
 
Science lesson Moon for 4th quarter lesson
Science lesson Moon for 4th quarter lessonScience lesson Moon for 4th quarter lesson
Science lesson Moon for 4th quarter lessonJericReyAuditor
 
Biting mechanism of poisonous snakes.pdf
Biting mechanism of poisonous snakes.pdfBiting mechanism of poisonous snakes.pdf
Biting mechanism of poisonous snakes.pdfadityarao40181
 
Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Celine George
 
Blooming Together_ Growing a Community Garden Worksheet.docx
Blooming Together_ Growing a Community Garden Worksheet.docxBlooming Together_ Growing a Community Garden Worksheet.docx
Blooming Together_ Growing a Community Garden Worksheet.docxUnboundStockton
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxpboyjonauth
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application ) Sakshi Ghasle
 

Dernier (20)

How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptx
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
 
Painted Grey Ware.pptx, PGW Culture of India
Painted Grey Ware.pptx, PGW Culture of IndiaPainted Grey Ware.pptx, PGW Culture of India
Painted Grey Ware.pptx, PGW Culture of India
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptx
 
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdfTataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
 
Pharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdfPharmacognosy Flower 3. Compositae 2023.pdf
Pharmacognosy Flower 3. Compositae 2023.pdf
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory Inspection
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activity
 
Science 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its CharacteristicsScience 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its Characteristics
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
 
Final demo Grade 9 for demo Plan dessert.pptx
Final demo Grade 9 for demo Plan dessert.pptxFinal demo Grade 9 for demo Plan dessert.pptx
Final demo Grade 9 for demo Plan dessert.pptx
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptx
 
Science lesson Moon for 4th quarter lesson
Science lesson Moon for 4th quarter lessonScience lesson Moon for 4th quarter lesson
Science lesson Moon for 4th quarter lesson
 
Biting mechanism of poisonous snakes.pdf
Biting mechanism of poisonous snakes.pdfBiting mechanism of poisonous snakes.pdf
Biting mechanism of poisonous snakes.pdf
 
Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17
 
Blooming Together_ Growing a Community Garden Worksheet.docx
Blooming Together_ Growing a Community Garden Worksheet.docxBlooming Together_ Growing a Community Garden Worksheet.docx
Blooming Together_ Growing a Community Garden Worksheet.docx
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptx
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application )
 

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.