Mathematics Teaching Methods ll

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UNIVERSITI SAINS MALAYSIA
Second Semester Examination Academic Session 20041200s
March 2005
PGT 312E - Mathematics Teaching Methods ll
(Kaedah Mengajar Matematik ll) Duration. 2 hours
(May : 2 iam) Please check that this examination paper consists of FIFTEEN pages of printed material before you begin the examination. [Sila pastikan bahawa keftas peperiksaan ini mengandungi LIMA BELAS muka
surat yang bercetak sebelum anda memulakan peperiksaan ini.l
INSTRUCTION: Answer ALL questions in SECTION A and TWO (2) questions only in SECTION B. ARAHAN :
Jawab SEMUA soalan BAHAGIAN A dan DUA (2) soalan sahaja daripada BAHAGIAN B. ...2t
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IANGKA GILIRANI
SECTION A
1. Answer ALL questions in the spaces provided
a) The Integrated Curriculum for Secondary School (KBSM) suggested
many advantages by taking into consideration the history of mathematics in the teaching and learning of mathematics. State with
examples any FIVE (5) of the advantages.
i)
(8 marks)
...3tii)
iii)
iv)
v) IPGT 312E1 INDEX NO. :
IANGKA G[L[RAN]
b) List FOUR ( ) key features of mathematics diagnostic teaching as proposed by Beil (1993).
i)
ii)
iii)
iv)
(3 marks)
c) Use example 1 below to create a diagnostic mathematics teaching sequence based on the four key features in b.
Example 1
Afif drove to his parents' home for Hari Raya. He covered the 240 km in
4 hours. The trip took him 8 hours. When he returned home one week
later, there was a massive traffic jam.
a. What was Afif's speed in his journey to his parent's home?
b. What was Afif's speed in his journey back to his house?
c. What was Afif's average speed for both journeys?
(5 marks) ...4t-
-3-
lPGr 312EI INDEX NO. :
IANGKA G[L[RAN]
d) State FOUR (4) major type of questions normally asked during a
mathematics lesson. Give relevant example of each type of question.
i)
(8 marks)
....5/-
-4-
ii)
iii
)
iv)
lPGr 312E1
INDEX NO. :
IANGKA GILIRAN]
e) Discuss FOUR (4) methods of evaluation in mathematics teaching .
Give relevent examples for each method discussed.
i)
(8 marks) ...6/-
-5-
ii)
iii)
iv) IPGT 312EI INDEX NO. :
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0 Explain briefly FOUR (4) problem solving strategies. Give appropriate example for each strategy that could be used in the teaching and
learning of mathematics.
i)
(8 marks) ...7t-
-6-
ii)
iii)
iv)
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SECTION B
(ESSAY QUESTTONS) I PGT 312E1 Answer TWO (2) questions only
2. Two main lesson patterns appear from the TIMSS (Third International Mathematics and Science Study) video which was designed to examine the teaching of mathematics in various countries. Discuss the two lesson patterns with respect to strengths and weaknesses in promoting students' understanding of a particular mathematical concept.
(30 marks)
3. Solve the following equation:
(a)
(b)
x2-3x 4=112x-2 Discuss the steps you would take to solve this equation with
reference to multiple representations in mathematics. How does multiple mathematical representations approach in (a) help your students to develop understanding of the concepts in the
given equation. (30 marks)
4. Discuss the issues a teacher needs to consider before implementing the use of technology in his or her mathematics classroom with regards to the following questions:
a) What is the role of technology in the mathematics classroom?
b) When is it appropriate to use technology in the mathematics
classroom?
c) How should technology be implemented into learning of mathematics?
the teaching and
(30 marks) ...8/- I PGT 312E ]
a) Problem solving is said to be the ultimate aim in mathematics and learning. lt can be considered as
i) a goal of learning,
ii) a process of learning,
iii) skills to be acquired in learning mathematics.
teaching Explain with appropriate learning activities as to justify each of the
above considerations.
b) Discuss TWO (2) learning activities that would normally carried out by
mathematics teachers which you consider as reflective teaching. (30 marks) -ooo O ooo-
-8-
5. .9/-
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[PGT312E! INDEX NO. :
IANGKA GILTRAN] TERJEMAHAN BAHAGIAN A
1. Jawab SEMUA soalan di dalam tempat yang disediakan
a) Kurikulum Bersepadu sekolah Menengah (KBSM) mencadangkan pelbagai kebaikan dengan mengambilkira sejarah matematik dilam pengajaran dan pembelajaran matematik. Nyatakan dengan contoh yang sesuai LIMA (5) kebaikan tersebut.
(8 markah) ...10ti)
ii)
iii
)
iv)
v)
IANGKA GILIRAN]
b) Senaraikan EMPAT (4) ciri utama pengajaran diagnostik matematik seperti yang dicadangkan oleh Bell (1993).
t)
ii)
i ii)
iv) - 10 - [PGT 312E1 INDEX NO. :
(3 markah)
c) Gunakan contoh 1 di bawah untuk menyediakan suatu pengajaran diagnostik matematik berdasarkan empat ciri utama dalam b.
Contoh 1
Afif memandu kereta balik berhari raya di kampung. perjaranan sejauh
249km mengambil masa selama 4 jam. perjalanan pulang dari
kampung seminggu kemudian mengambil masa 8 jam kerana
kesesakan jalan raya.
A. Apakah halaju Afif semasa perjalanan ke rumah ibu bapanya?
B, Apakah halaju Afif semasa balik ke rumahnya?
C. Apakah purata halaju Afif untuk kedua-dua perjalanan?
(5 markah) ...11t
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IANGKA G[L[RAN]
d) Nyatakan EMPAT (4) ienis soaran utama yang biasa guru
kemukakan semasa pengajaran matematik. Beri contoh yang sesuai
untuk setiap jenis soalan.
(8 markah) ...12tii)
iii)
iv)
-12- IPGT 312E1
(8 markah) ...13tINDEX NO. :
IANGKA ctLtRAN]
i)
e) Bincangkan EMPAT (4) kaedah penilaian pengajaran matematik.
Beri contoh yang sesuai bagi setiap kaedah.
ii)
iii
)
iv)
-13- IPGT 312E1 INDEX NO. :
IANGKA ctLtRAN]
f) Huraikan secara ringkas EMPAT (4) strategi yang boleh digunakan
dalam penyelesaian masalah matematik Berikan contoh bagi
setiap strategi.
(8 markah) ...14tii)
iii)
iv)
2.
-14_ BAHAGIAN B SOALAN ESEI Jawab DUA (2) soalan sahaja.
x2-3x4=1t2x-2
a) Bincangkan langkah-langkah yang
menyelesaikan soalan ini dengan perwakilan matematik I PGT 312E I
akan anda ambil untuk
merujuk kepada pelbagai
Dua pola utama pengajaran guru terdapat dalam kajian video TIMSS
(Third lnternational Mathematics and Science Study) yang bertujuan mengkaji pengajaran matematik di beberapa buah negari. Bincangkan kedua-dua pola tersebut dengan memberi fokus kepada kekuatan dan kelemahan setiap pola bagi meningkatkan kefahaman pelajar tentang sesuatu konsep matematik. (30 markah)
3. Selesaikan persamaan berikut:
4.
c) Bagaimanakah pelbagai penvakilan matematik dalam (a) dapat membantu pelajar membina kefahaman konsep yang terdapat dalam
persamaan yang diberikan.
(30 markah)
Bincangkan isu-isu yang perlu guru pertimbangkan sebelum menggunakan teknologi dalam pengajaran matematik dengan merujuk kepada soalan soalan berikut:
a) Apakah peranan-peranan teknologi dalam bilik darjah matematik?
c) Bilakah teknologi sesuai digunakan daram pengajaran dan pembelajaran matemati k?
d) Bagaimanakah teknologi sepatutnya diimprementasikan dalam
pengajaran dan pembelajaran matematik?
(30 markah)
...1il IPGT 312E7
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5. a) Penyelesaian masalah dikatakan sebagai maflamat akhir dalam
pengajaran dan pembelajaran matematik. la juga dianggap sebagai
i) satu matlamat
ii) satu proses
iii) kemahiran yang perlu diperolehi. Jelaskan dengan aktiviti pembelajaran yang sesuai supaya menepati setiap anggapan tersebut. Huraikan DUA (2) aktiviti pemberajaran yang biasa dilaksanakan
oleh guru matematik yang boleh anda kelaskan sebagai pengajaran
reflektif.
(30 markah)
-oooOooob)