Form 3 Asgment
Transcript of Form 3 Asgment
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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.
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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
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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.
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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
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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