Atcm 2008 Bangkok, Thailand

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Atcm 2008 Bangkok, Thailand

  1. 1. 1
  2. 2. 2 BIODATA HONG ENG DING Additional Mathematics Excellent Teacher (Special Grade C) Master of Education (Maths) University of Malaya  I have been teaching Mathematics and Additional Mathematics in secondary school since 1988. Currently I am teaching in Alam Shah Science School, Kuala Lumpur, Malaysia.  Awards Received : Innovative Teacher - National level in year 2000, - State level in years 2000, 2001 and 2003. Creative Teacher - State level in year 2003. Award from Ministry of Science, Technology and Innovation year 2002 Toray Science Education Award in year 2006.  School Mathematics text book writer and reference books writer.  Currently, I am doing PhD degree (part time) in University of Malaya.
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  4. 4. 4 INTRODUCTION INTEGRATION MULTIMEDIA COUSEWARE FEEDBACK FROM TEACHERS AND STUDENTS CONCLUSION
  5. 5. 5 INTRODUCTION Integration is one of the Form 5 topics in Malaysian Additional Mathematics Syllabus. In this topic, the concepts of Integration, and its application to find the area and volume are introduced. Students usually find the concepts in this topic abstract especially determining areas under the curves and volumes of revolution.
  6. 6. 6 INTRODUCTION The Ministry of Education, Malaysia has developed a teaching courseware to facilitate the teaching and learning of Additional Mathematics. This section presents how an interactive multimedia environment can be created using the courseware to enhance the conceptual understanding of Integration and its applications.
  7. 7. 7 SYLLABUS OF INTEGRATION • Integration by Reversing Differentiation • Integrals of axn • Integrals of Algebraic Expressions • Constants of Integration • Equations of Curves from Gradient Functions • Integrate of Expressions of the form (ax+b)n
  8. 8. 8 SYLLABUS OF INTEGRATIONS • Definite integrals • Areas Under the Curves Bounded by the x-axis. • Areas Under the Curves Bounded by the y-axis. • Areas Under the Curves Bounded by a straight line.
  9. 9. 9 SYLLABUS OF INTEGRATIONS • Volumes of Revolutions When a Curve is Rotated About the x-axis • Volumes of Revolutions When a Curve is Rotated About the y-axis
  10. 10. 10 DIFFICULTIES FACED BY STUDENTS IN LEARNING THIS TOPIC • To understand the abstract concepts of Integration. • To visualize the area under the curve as the summation of areas of rectangular strips. • To visualize the volume of revolution as the summation of volumes of cylindrical discs.
  11. 11. 11 • The teaching courseware is based on the Additional Mathematics Curriculum and it is designed and structured upon the requirements of the National Integrated Curriculum for Secondary Schools (Kurikulum Bersepadu Sekolah Menengah). MULTIMEDIA COUSEWARE
  12. 12. 12 • The teaching courseware is developed by the Ministry of Education Malaysia (Curriculum Development Centre) to assist teachers in delivering the teaching content in classroom using English Language. MULTIMEDIA COUSEWARE
  13. 13. 13 • The lessons are structured in six main components in the following order:  Introduction  Content  Activity  Exercise  Summary  Extension
  14. 14. 14 To arouse the students’ interest and capture their attentions. States the learning outcomes of a particular lesson and sets the stage for the respective lesson. Good set induction: relates the lesson to daily life examples, history of Mathematics.
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  16. 16. 16 Vivid three-dimensional simulation examples are displayed. Presents the established concepts contained in the lesson. To enhance the conceptual understanding of Integration. PHOTOS
  17. 17. 17 Determine the Volume of Revolution
  18. 18. 18 Provides features to check the student’s answer step by step. Contains Interactive activities for making and testing conjectures. Discusses and evaluates student’s understanding and identifies student’s errors and misconceptions.
  19. 19. 19 Interactive Activity : Find the volume of revolution
  20. 20. 20 Enhances understanding of concepts and mastering of problem solving skills Consists of assessment items. Provides opportunities to practice and develop newly learned skills.
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  22. 22. 22 Recalls the concepts and skills learned in the lesson. Summarises the entire lesson. Highlights key points and ideas
  23. 23. 23 Area under the curve bounded by the x-axis.
  24. 24. 24 Provides activities outside the classroom or homework. Contains additional knowledge that related to the lessons. Encourage further exploration and discovery.
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  26. 26. 26 Module and Swift-Point Player
  27. 27. 27 • The Teaching Courseware includes other functions which help to enhance the teaching of the subject in the classroom. MY LESSONS If the lessons in the CD do not cater to the specific needs of students, teachers can create their own lesson by combining different sections of the lessons in the CD.
  28. 28. 28 BOOKMARK When the user wants to stop at a certain page, with the intention of continuing later from that page, they just need to take a bookmark and mark that page.
  29. 29. 29 TEACHER’S RESOURCES The Teacher’s Resources contains Teaching Plans and Activity Sheets of each lessons. All Teacher’s Resources can be printed.
  30. 30. 30 COURSEWARE PEDAGOGY Pre-conceived Idea Compare with New Idea Assimilation Accommodation New Concept
  31. 31. 31 Problematic Situation Make and Test Conjecture Satisfy all conditions? No New Knowledge Reflection
  32. 32. 32 Problem Solving Mathematical Communication Reasoning Making Connection Use of Technology PRINCIPLES
  33. 33. 33 FUN MEANINGFUL CHALLENGING USEFUL PRINCIPLES
  34. 34. 34 Constructivism Contextual Exploratory Cooperative learning Multiple Intelligent Mastery Learning Self-Access Learning Leaning How to Learn Future Learning APPROACHES
  35. 35. 35 Directing Demonstrating Explaining and Illustrating Questioning Consolidating Evaluating Summarising APPROACHES
  36. 36. 36 ACTIVE PASSIVE ABSTRACT CONCRETE Manipulates concrete models Listen to verbal explanationDescribes Concepts Verbally Observes demos with concrete models.
  37. 37. 37 USING THE COURSEWARE CD ASSISTED APPROACH CD INTEGRATED APPROACH 1. Main teaching tool in the classroom. 2. Introduce and present the subject matter, pauses the CD at the appropriate points to check the students’ understanding. 1. Teacher designs his/her own lessons, using a variety of resources. 2. Teacher incorporates the courseware materials, as well as other resources into the lesson at suitable stages.
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  39. 39. 39 The result cannot be generalised to all the populations. The survey (questionnaire) on teachers was done on 28 Additional Mathematics teachers. Experience of teaching : 1 – 28 years The interview was carried out with 3 students with performance in Add Maths : Good, Average and Weak.
  40. 40. 40 FEEDBACK FROM TEACHERS 1. How often do you use the teaching courseware? FEEDBACK PERCENTAGE Everyday : 0 % Every week : 17.86% Once a while : 71.43% (Certain topics) Never : 10.71%
  41. 41. 41 FEEDBACK FROM TEACHERS 2. The benefits of using courseware : Use for Summary or Revision Interesting and clear Make learning process enjoyable To relate the concept to daily life Interactive exercise
  42. 42. 42 FEEDBACK FROM TEACHERS 2. The benefits of using courseware : For weak students, the visual can draw their attention. e.g. Integration Get the attention of students and enhance understanding. The syllabus can be finished earlier so students can do more drilling exercise. Deliver the concept in a shorter time (save time).
  43. 43. 43 FEEDBACK FROM TEACHERS 2. The benefits of using courseware : It is systematic. I prepare my own PowerPoint by referring to the content of the CD. Explaining and introducing the concepts of certain topics better. Courseware provides good introduction.
  44. 44. 44 FEEDBACK FROM TEACHERS 2. The benefits of using courseware : Courseware provides animation to teach certain concepts. Teaching and learning Add Maths becomes interactive. To diversify the teaching and learning activities. Provide more examples for explaining the concepts and skills.
  45. 45. 45 FEEDBACK FROM TEACHERS 3. The reasons why courseware is not used : Take time to set up the laptop and the LCD, needs around 15 minutes. It is time consuming. Some of the courseware are not related to what I want to teach. For very weak students, they need more explanation, not suitable to use courseware. Lack of skills to incorporate CD into the PowerPoint. Teachers make their own PowerPoints and teaching resources.
  46. 46. 46 Do you like the courseware? FEEDBACK FROM STUDENTS
  47. 47. 47 FEEDBACK FROM STUDENTS What are the features in the courseware you like most ? 1. The explanation and problem solving. 2. The examples. 3. The graphics with animations. It creates fun in learning. 4. Easy to understand, I can remember what I have learnt.
  48. 48. 48 FEEDBACK FROM STUDENTS What are your suggestions about the use of teaching courseware? 1. All the maths teachers use the courseware to teach to make us understand better. 2. Put in more graphics and give more examples. Add in more music and sound.
  49. 49. 49 CONCLUSION 1. The effective use of the teaching courseware has transformed abstract and difficult lessons on Integration to stimulating sessions where students can visualize the concepts and enhance their problem solving skills. 2. Thanks Ministry Of Education for the effort of providing this multimedia courseware which enhances the teaching and learning of Additional Mathematics.
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