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DING HONG ENG

Additional Mathematics Excellent Teacher (Special Grade C) Master of Education (Maths) University of Malaya

BIODATA

I have been teaching Mathematics and AdditionalMathematics in secondary school since 1988. Currently I am teaching in SM Sains Seri Puteri, Kuala Lumpur. Awards Received : Innovative Teacher Award - National level in year 2000, - State level in years 2000, 2001 and 2003. Creative Teacher Award - 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.2

INTRODUCTION INTEGRATION MULTIMEDIA COUSEWARE FEEDBACK FROM TEACHERS AND STUDENTS CONCLUSIO3

INTRODUCTIO Integration is one of the Form 5 topics in N 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.4

INTRODUCTIO N The Ministry of Education, Malaysia has developed ateaching 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.

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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)n6

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.7

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

SYLLABUS OF INTEGRATIONS

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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.

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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

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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

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The lessons are structured in six main components in the following order: Introduction Content Activity Exercise Summary Extension12

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.

To arouse the students interest and capture their attentions.

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Present the established concepts contained in the lesson.

Vivid three-dimensional simulation examples are displayed.

PHOTOS

To enhance the conceptual understanding of Integration.15

Determine the Volume of Revolution

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Contains Interactive activities for making and testing conjectures.

Provides features to check the students answer step by step.

Discusses and evaluates students understanding and identifies students errors and misconceptions.

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Interactive Activity : Find the volume of revolution

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Consists of assessment items.

Enhances understanding of concepts and mastering of problem solving skills

Provides opportunities to practice and develop newly learned skills.19

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Summarises the entire lesson.

Recalls the concepts and skills learned in the lesson.

Highlights key points and ideas21

Area under the curve bounded by the x-axis.

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Contains additional knowledge that related to the lessons.

Provides activities outside the classroom or homework.

Encourage further exploration and discovery.23

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PRINCIPLES

Problem Solving Mathematical Communication Reasoning Making Connection Use of Technology25

PRINCIPLES

FUN MEANINGFUL CHALLENGING USEFUL

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APPROACHES

Constructivism Contextual Exploratory Cooperative learning Multiple Intelligent Mastery Learning Self-Access Learning Leaning How to Learn Future Learning27

APPROACHES

Directing Demonstrating Explaining and Illustrating Questioning Consolidating Evaluating Summarising28

ABSTRACT Listen to verbal Describes Concepts Verbally ACTIVE Manipulates concrete models Observes demos with concrete models. PASSIVE explanation

CONCRETE

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USING THE COURSEWARECD ASSISTED APPROACH1. 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.

CD INTEGRATED APPROACH1. 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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COURSEWARE PEDAGOGYPre-conceived Idea Compare with New Idea Assimilation Accommodation

New Concept31

Problematic Situation Make and Test Conjecture Satisfy all conditions?New Knowledge

No

Reflection32

The Teaching Courseware includes other functions which help to enhance the teaching of the subject in the classroom.MY LESSONSIf 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.

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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.34

TEACHERS RESOURCESThe Teachers Resources contains Teaching Plans and Activity Sheets of each lessons. All Teachers Resources can be printed.

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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.

The result cannot be generalised to all the populations.37

FEEDBACK FROM TEACHERS 1.How often do you use the teaching courseware?

FEEDBACK Everyday : Every week : Once a while : Never :

PERCENTAGE 0% 17.86% 71.43% (Certain topics) 10.71%38

FEEDBACK FROM TEACHERS 2. The benefits of using courseware : Interesting and clear Make learning process enjoyable To relate the concept to daily life Interactive exercise Use for Summary or Revision39

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.Deliver the concept in a shorter time (save time). The syllabus can be finished earlier so 40 students can do more drilling exercise.

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.Courseware provides good introduction.

Explaining and introducing the concepts of certain topics better.

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FEEDBACK FROM TEACHERS 2. The benefits of using courseware : Courseware provides animation to teach certain concepts. Teaching and learning Add Maths becomes interactive.Provide more examples for explaining the concepts and skills. To diversify the teaching and learning activities.42

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 43 teaching resources.

FEEDBACK FROM STUDENTSDo you like the courseware?

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FEEDBACK FROM STUDENTS1. The explanation and problem solving. 2. The examples. What are the features in the courseware you like most ? 3. The graphics with animations. It creates fun in learning. 4. Easy to understand, I can remember what I have learnt.45

FEEDBACK FROM STUDENTS1. 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.

What are your suggestions about the use of teaching courseware?

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CONCLUSIO N The effective use of the teaching courseware has 1.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.48

How to insert a Flash movie in a Po

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