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    PENYERAHAN DAN PENILAIAN TUGASAN

    ASSIGNMENT SUBMISSION AND ASSESSMENT

    ________________________________________________________________________

    HBMT 4103

    TEACHING MATHEMATICS IN FORM THREE

    MAY 2012

    ________________________________________________________________________

    ARAHAN KEPADA PELAJAR /INSTRUCTIONS TO STUDENTS

    1. Tugasan ini mengandungi SATU (1) soalan sahaja yang disediakan dalam bahasa modul

    bercetak kursus ini. / This assignment contains only ONE (1) question that is set in the language

    of the printed module for the course.

    2. Jawab dalam Bahasa Melayu atau Bahasa Inggeris. / Answer inMalayorEnglish.

    3. Muat turunkan templat tugasan versi bahasa yang berkenaan daripada MyVLE untuk penyediaan

    dan penyerahan tugasan anda. Tugasan anda hendaklah ditaip dengan menggunakan saiz fon 12

    Times New Roman dan langkau baris 1.5. /Download the language version of the assignment

    template concerned from the MyVLE for preparation and submission of your assignment. Your

    assignment should be typed using 12 point Times New Roman font and 1.5 line spacing.

    4. Tugasan anda hendaklah antara 2500 hingga 3000 patah perkataan tidak termasuk rujukan.Bilangan perkataan hendaklah ditunjukkan di hujung tugasan anda. Jangan menyalinsoalan dan

    arahan tugasan dalam jawapan anda. /Your assignment should be between 2500 to 3000 words

    excluding references. The number of words should be shown at the end of your assignment. Do

    not copy the assignment question and instructions to your answer.

    5. Anda dikehendaki menghantar tugasan SECARA ON-LINE melalui MyVLE. Sila rujuk kepada

    portal untuk arahan mengenai prosedur menghantar tugasan anda secara on-line. Anda

    dinasihatkan menyimpan senaskah tugasan yang diserahkan untuk rujukan sendiri. / You must

    submit your assignment ON-LINE via the MyVLE. Refer to the portal for instructions on the

    procedures to submit your assignment on-line. You are advised to keep a copy of your submitted

    assignment for personal reference.

    6. Anda hanya boleh menghantar tugasan SEKALI sahaja dalam SATU fail. /You can submit your

    assignmentONCE only in a SINGLE file.

    7. Tugasan anda hendaklah diserahkan antara 27hb Jun hingga 9hb Julai 2012 (ONLINE) Serahanselepas 9hb Julai 2012 TIDAK akan diterima. / Your assignment must be submitted between

    27th June 2012 until 9th July 2012. Submissionafter 9th July 2012 willNOTbe accepted.

    8. Tugasan hendaklah disiapkan secara individu. Anda dilarang meniru tugasan orang lain. Andajuga dilarang sama sekali memplagiat kerja orang lain sebagai kerja sendiri. / Your assignment

    should be prepared individually. You should not copy another persons assignment. You shouldalso not plagiarise another persons work as your own.

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    SOALAN TUGASAN /ASSIGNMENT QUESTION

    The van Hiele levels of geometric thinking developed in 1984 by two Dutch educators, Dina

    van Hiele-Geldof and Pierre van Hiele provides useful information for teachers to plan

    instruction on geometry that is appropriate and relevant to childrens level of thinking. The

    van Hieles defined five phases in the learning process through which they believed students must

    undergo before advancing to the next level ofgeometric thinking. The five sequential phases of

    instruction are: 1) Information; 2) Guided Orientation; 3) Explicitation; 4) Free Orientation;

    and 5) Integration.

    Based on the phases of instruction, you are to design an instructional model to teach the

    properties of cyclic quadrilaterals for Form Three students. In your model, show clearly all

    diagrams and describe the instructional steps and questions to be included in the five

    sequential instructional phases. Justify your content with the van Hiele theory. State clearly

    the learning objectives and learning outcomes of your proposed model. Get TWO

    experienced mathematics teachers to evaluate your model and report their comments. State

    the weaknesses and strengths of your model.

    Discuss how you can extend and modify the example given in your model to teach the

    properties of angles, properties of circles, sum of interior and exterior angles of

    polygons and trigonometric ratio. Show the modified diagrams.

    [Total: 40 marks]

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    Van Hiele tahap pemikiran geometri yang dibangunkan pada tahun

    1984 oleh dua orang pendidik Belanda, Dina van Hiele-Geldof dan

    Pierre van Hielememberi maklumat yang berguna untuk guru-guru untuk

    merancang pengajarankepada geometri yang sesuai dan

    relevan kepada tahap kanak-kanakberfikir.Hieles van yang ditakrifkan lima

    fasa dalam proses pembelajaran di mana mereka percaya pelajar perlu

    menjalani sebelum mara ke peringkat seterusnya pemikiran geometri. Lima

    fasa pengajaran yang berurutan adalah: 1)Maklumat; 2) Orientasi berpand

    u; 3) Explicitation; 4) Orientasi Percuma; dan 5)Integrasi.

    Berdasarkan fasa arahan, anda adalah untuk mereka

    bentuk model pengajaranuntuk

    mengajar sifat quadrilaterals kitaran bagi pelajar Tingkatan Tiga. Dalam

    model anda, menunjukkan dengan jelas semua gambar

    rajah dan terangkanlangkah-langkah pengajaran dan soalan untuk

    dimasukkan ke dalam lima

    fasapengajaran yang berurutan. Mewajarkan kandungan anda dengan teori

    Van Hiele. Nyatakan dengan jelas objektif pembelajaran dan hasil

    pembelajaranmodel yang dicadangkan anda. Dapatkan DUA guru matemat

    ik yang berpengalaman untuk menilai model anda dan melaporkan komen

    mereka.Menyatakan kelemahan dan kekuatan model anda.

    Bincangkan bagaimana anda boleh

    melanjutkan dan mengubah suai contoh yangdiberikan dalam

    model anda untuk mengajar sifat-sifat sudut, sifat-

    sifat bulatan,jumlah dalaman dan

    luaran sudut poligon dan nisbah trigonometri. Papar rajahdiubah suai.

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    PENILAIAN /EVALUATION

    Tugasan ini akan menyumbangkan 40 % markah kepada kursus tersebut dan akan dinilai

    berdasarkan kepada Rubrik. / This assignment accounts for40 % of the marks for the course

    mentioned and shall be assessed based onthe Rubrics.

    Anda akan dimaklumkan tentang markah tugasan ini sebelum Peperiksaan Akhir Semester bermula/

    You would be informed of the assignment mark before the Final Semester Examination commences.

    PLAGIARISME : POTONGAN MARKAH /PLAGIARISM : MARKS DEDUCTION

    Amaran : Tugasan yang diserahkan secara automatik akan disemak untuk persamaan. Jika

    plagiarisme dikesan, markah akan dipotong seperti berikut: / Warning : The submitted assignment

    will automatically undergo a similarity check. If plagiarism is detected, marks would be deducted as

    follows:

    Tugasan dengan pertindihan kandunganantara 10 - 30 % : potongan 20% daripada jumlahmarkah yang diperoleh.

    Tugasan dengan pertindihan kandunganantara 31 - 50 % : potongan 40% daripada jumlahmarkah yang diperoleh.

    Tugasan dengan pertindihan kandunganlebih daripada 50%: Markah sifar akan diberikan. Assignments with 10 - 30 % overlap with others: 20% deduction from the total marks scored.

    Assignments with 31 - 50 % overlap with others: 40% deduction from the total marks scored.

    Assignments withmore than 50% overlap with others:Zero mark would be given.

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    RUBRIK TUGASAN / ASSIGNMENT RUBRICS

    KOD KURSUS /COURSE CODE : HBMT4103

    SEMESTER /SEMESTER : MAY 2012

    Criteria Weight

    ing

    Missing Item Weak Partially Meets

    Standard

    Meets Standards Exceeds Standard Total

    Score

    0 1 2 3 4

    Learning objectives

    and learning outcomes

    0.5 Not given. Only the learning

    objectives or the

    learning outcomes

    are given.

    Both learning

    objectives and the

    learning outcomes

    are given.

    Both learning

    objectives and the

    learning outcomes

    are clearly andcorrectly written.

    Both learning

    objectives and the

    learning outcomes

    are clearly andcorrectly written

    and have

    connection to the

    five phases of

    instruction.

    2

    Phase 1: Information 1 No diagram. Structure of the

    diagram is not

    clear.

    Diagram is clear. Diagram is clear,

    appropriate and

    relevant.

    Diagram is clear,

    appropriate and

    relevant.

    Question asking

    students to name

    the diagrams.

    4

    Phase 2: Guided

    Orientation

    1 The properties of

    cyclicquadrilaterals arenot stated

    The properties of

    cyclicquadrilaterals arenot clearly stated.

    The properties of

    cyclicquadrilaterals areclearly stated.

    The properties of

    cyclicquadrilaterals arecorrectly stated.

    Questions that

    invite chorus

    answer only.

    The properties of

    cyclicquadrilaterals arecorrectly stated.

    Questions about the

    properties of

    quadrilaterals,

    circles, etc.

    Questions that

    4

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    Criteria Weight

    ing

    Missing Item Weak Partially Meets

    Standard

    Meets Standards Exceeds Standard Total

    Score

    0 1 2 3 4

    invite individual

    answer.

    Phase 3: Explicitation 1.5 No class

    discussion.

    Discussion

    questions are notrelevant to the

    properties of cyclic

    quadrilaterals.

    Discussion

    questions arerelevant to the

    properties of cyclic

    quadrilaterals but

    answers cannot be

    indicated explicitly

    in the diagram.

    Discussion

    questions arerelevant to the

    properties of cyclic

    quadrilaterals.

    Answers to the

    questions can be

    indicated explicitly

    in the diagram.

    Discussion

    questions are notrelevant to the

    properties of cyclic

    quadrilaterals.

    Answers to the

    questions can be

    indicated explicitly

    in the diagram.

    Discussion

    questions used

    specific words such

    as exterior angle,

    interior angle,

    corresponding to,

    and equal to, etc.

    6

    Phase 4: FreeOrientation

    1.5 No extra example. Additional exampledoes not have clear

    instruction.

    No discussion.

    Additional examplewith clear

    instruction but uses

    similar diagram

    structure as the first

    example.

    Discussion question

    is direct and invite

    chorus answer.

    Additional examplewith clear

    instruction and the

    diagram structure is

    different from the

    first example.

    Discussion question

    requires some

    computation using

    Additionalexamples with clear

    instruction. A

    variety of diagram

    structures are given

    to enrich learning.

    Discussion question

    is thought-

    provoking and

    6

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    Criteria Weight

    ing

    Missing Item Weak Partially Meets

    Standard

    Meets Standards Exceeds Standard Total

    Score

    0 1 2 3 4

    the properties of

    triangles, cycles,

    and quadrilaterals.

    requires extra

    construction.

    Phase 5: Integration 0.5 No reflection. Reflection on the

    rule that states thatexterior angle is

    equal to the

    corresponding

    interior angle.

    Reflection on the

    diagram that showsexterior angle is

    equal to the

    corresponding

    interior angle.

    Reflection on the

    construction of acyclic quadrilateral

    that shows exterior

    angle is equal to the

    corresponding

    interior angle.

    Reflection on the

    construction of acyclic quadrilateral

    that shows exterior

    angle is equal to the

    corresponding

    interior angle.

    Basic construction

    of circle and

    quadrilateral are

    emphasized.

    2

    Justification of the

    content

    1 No justification. Justification not

    convincing.

    Justification given

    is based on van

    Hiele theory.

    Justification given

    is based on van

    Hiele theory and

    more than one

    reason is given.

    Justification is

    based on van Hiele

    theory and is

    mathematically

    sound.

    4

    Teachers comments 0.5 No comments. Comments are not

    clearly written.

    Comments are

    clearly written.

    Organize comments

    into two groups.

    Organize comments

    into two groups

    accompanied by

    some comparisonsand justification.

    2

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    Criteria Weight

    ing

    Missing Item Weak Partially Meets

    Standard

    Meets Standards Exceeds Standard Total

    Score

    0 1 2 3 4

    Modification to

    include properties ofangles, properties of

    circles, sum of interior

    and exterior angles of

    polygons andtrigonometric ratio.

    1.5 No modification. Modifications show

    only one of the

    mentioned

    properties.

    Modifications show

    only more than one

    but not all of the

    mentioned

    properties.

    Diagrams are

    given.

    Modifications show

    all the mentioned

    properties.

    Diagrams are

    given.

    Modifications show

    all the mentioned

    properties. Clear

    diagrams with

    instructions are

    given to each

    modification.

    6

    Creativity, innovativeand impact 0.5 The activity is notinteresting. The activity is notinteresting. Fail to

    demonstrate any

    creativity. No

    impact on

    meaningful

    learning.

    Demonstratemodest amount of

    creative and

    innovative ideas to

    stimulate students

    to learn geometrical

    concepts and skills

    of the chosen topic

    by discovery.

    Demonstratesubstantial amount

    of creative and

    innovative ideas to

    stimulate students

    to learn geometrical

    concepts and skills

    of the chosen topic

    by discovery.

    The creativity andinnovative ideas are

    excellent and

    beyond expectation.

    2

    Overall presentation

    of the write up

    0.5 Not relevant. The work is not

    organized.

    Show no ability in

    discussion.

    The work is fairly

    well organized.

    Show little ability

    in discussion.

    The work is neat

    and organized.

    Show substantial

    ability in

    discussion.

    The work is neat

    and well organized.

    Show outstanding

    ability in

    discussion.

    2

    TOTAL MARKS 40

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    PANDUAN PELAJAR

    Pelajar dinasihatkan:

    1. Baca dan fahamkan dua artikel yang disertakan. Buat pencarian lain di internet berkenaan

    dengan van Hiele levels of geometric thinking andphases of instruction untuk mendapatkan

    pelbagai maklumat untuk menyelenggarakan tugasan.

    2. Merujuk kepada modul dan sumber-sumber bercetak lain atau sumber dalam internet yang

    boleh dipercayai (contohnya sumber yang disediakan oleh orang atau organisasi yang

    mempunyai reputasi yang baik) diperlukan untuk memahami konsep Angles, Circles II,

    Polygons, and Trigonometry sebelum anda dapat memberi contoh yang tepat dan sesuai.

    3. Membincangkan dengan guru Matematik sekolah anda bagi mendapatkan khidmat nasihat

    dan komen yang diperlukan untuk meningkatkan mutu pengajaran pembelajaran.

    4. Menggunakan gambar foto/lakaran untuk membantu anda menjelaskan hujah jawapan

    tugasan.

    5. Cetak serta lampirkan muka surat pertama artikel rujukan bersama tugasan jika berkenaan.

    PANDUAN TUTOR

    1. Tutor adalah diminta agar dapat membantu para pelajar dalam hal penyediaan penulisan.

    2. Mencadangkan Format yang sesuai bagi setiap sub tajuk.

    3. Mencadangkan buku-buku rujukan untuk panduan pelajar jika berkenaan.

    4. Cadangkan laman web untuk rujukan yang dapat membantu soalan tugasan adalah seperti

    berikut.

    Ding, L., & Jones, K. (2007). Using the van Hiele theory to analyse the teaching ofgeometrical proof at grade 8 in Shanghai. In European Research in Mathematics

    Education V(pp 612-621). Larnaca, Cyprus: CERME. Available at

    http:www.lettredelapreuve.it/OldPreuve/.../WG4-Ding_Jones.pdf

    Kunimune, S., Fujita, T., & Jones, K. (2010). Strengthening students understandingof proof in geometry in lower secondary school. Proceedings of CERME 6, 756-

    765. Available at

    http://ife.ens-lyon.fr/publications/edition-electronique/cerme6/wg5-09-kunimune-et-

    al.pdf

    5. Tutor perlu bimbing pelajar tentang teknik menulis rujukan sama ada buku atau laman web

    dengan betul. Guna gaya APA.

    http://www.lettredelapreuve.it/OldPreuve/.../WG4-Ding_Jones.pdfhttp://ife.ens-lyon.fr/publications/edition-electronique/cerme6/wg5-09-kunimune-et-http://ife.ens-lyon.fr/publications/edition-electronique/cerme6/wg5-09-kunimune-et-http://www.lettredelapreuve.it/OldPreuve/.../WG4-Ding_Jones.pdf