Suggestions for Preparing for and Taking Math Tests
1. Keep a list of things to remember - problems stressed by the instructor, definitions, terms, diagrams and graphs, formulas.
Keep up with the work - some courses can be passed by cramming, but math isn’t one of them. Skills in math, as in sports, must be practiced.
2. Study copies of old exams, chapter tests from the book, or make up your own. Then practice them with the same limits as the real exam.
Get a good night’s sleep before the test so that you are rested and alert;
a quick review before the test should be a summary only.
Arrive at the test early so that you can be relaxed when the exam begins.
3. Quickly look over the test and budget your time - don’t spend too much time on any single problem or section of the test.
Do some work on each problem - try to work at least part of each problem because partial credit is better than none.
4. Check your answers and look for careless mistakes during the last few minutes of your test time (budget this important time).
Selasa, 28 Julai 2009
Why study Mathematics?
The main reason for studying mathematics to an advanced level is that it is interesting and enjoyable.People like its challenge, its clarity, and the fact that you know when you are right.
The solution of a problem has an excitement and a satisfaction.You should also be aware of the wide importance of Mathematics, and the way in which it is advancing at a spectacular rate.
Mathematics is about pattern and structure;
it is about logical analysis, deduction, calculation within these patterns and structures.
When patterns are found, often in widely different areas of science and technology, the mathematics of these patterns can be used to explain and control natural happenings and situations.
Mathematics has a pervasive influence on our everyday lives, and contributes to the wealth of the country.
The solution of a problem has an excitement and a satisfaction.You should also be aware of the wide importance of Mathematics, and the way in which it is advancing at a spectacular rate.
Mathematics is about pattern and structure;
it is about logical analysis, deduction, calculation within these patterns and structures.
When patterns are found, often in widely different areas of science and technology, the mathematics of these patterns can be used to explain and control natural happenings and situations.
Mathematics has a pervasive influence on our everyday lives, and contributes to the wealth of the country.
Tips For Answring SPM Paper Additional Mathematics
a) Read the instructions of the examination paper carefully
You must follow the instructions given in the question paper closely. Answer more questions than is required will not earn any additional marks. The time you used to answer these additional questions should instead be used to cheek the answer you have obtained
b) Read all questions carefully
For the section that you are given choices of questions, you must read all the questions so that you are able to make a wise choice. Otherwise, time would be wasted when you decide to answer another question only after you find the question you attempted is difficult
c)Read and follow the instructions given in the question closely.
Before you answer you must read and follow closely the instructions given in the question. Otherwise you will end up losing marks you deserve. Some commonly found instruction are given as follows
Use a graph paper
( found in topics such as Linear Law, Linear programming and statistics)
Draw a graph using the given data
From the graph, find the value of x( found in topics such as Linear Programming and linear law)Solving by accurate drawing is not accepted( found in topic such as coordinate Geometry )Without using a calculator( found in topics such as Indices and Logarithms and Trigonometry )
Use the time wisely
Time is precious in the examination.
You should use the time wisely.
You are given a specific duration of time to answer a specific number of questions.
You must know the maximum length of time you can allocate to a particular question.
Once you have exceed the time allocated and you still cannot answer the question, you should proceed to another question and re-do this questions, marks will not be awarded for correct answer if working are not shown.
80 MARKS ------ 120 MINUTES ( PAPER 1)
100 MARKS ------- 150 MINUTES ( Paper 2)
So , 1 mark = 1.5 minutes
You must follow the instructions given in the question paper closely. Answer more questions than is required will not earn any additional marks. The time you used to answer these additional questions should instead be used to cheek the answer you have obtained
b) Read all questions carefully
For the section that you are given choices of questions, you must read all the questions so that you are able to make a wise choice. Otherwise, time would be wasted when you decide to answer another question only after you find the question you attempted is difficult
c)Read and follow the instructions given in the question closely.
Before you answer you must read and follow closely the instructions given in the question. Otherwise you will end up losing marks you deserve. Some commonly found instruction are given as follows
Use a graph paper
( found in topics such as Linear Law, Linear programming and statistics)
Draw a graph using the given data
From the graph, find the value of x( found in topics such as Linear Programming and linear law)Solving by accurate drawing is not accepted( found in topic such as coordinate Geometry )Without using a calculator( found in topics such as Indices and Logarithms and Trigonometry )
Use the time wisely
Time is precious in the examination.
You should use the time wisely.
You are given a specific duration of time to answer a specific number of questions.
You must know the maximum length of time you can allocate to a particular question.
Once you have exceed the time allocated and you still cannot answer the question, you should proceed to another question and re-do this questions, marks will not be awarded for correct answer if working are not shown.
80 MARKS ------ 120 MINUTES ( PAPER 1)
100 MARKS ------- 150 MINUTES ( Paper 2)
So , 1 mark = 1.5 minutes
JOKE FOR MATHEMATICS TEACHER
Welcome to Jokes for Teachers
What kind of tree does a math teacher climb?
Geometry !
What do you have to know to get top grades in geometry ?
All the angles !
What kind of pliers do you use in arithmetic?
Multipliers !
If you had one dollar and you asked your father for another,
how many dollars would you have?
One dollar.
You don't know your arithmetic.
You don't know my father !
Jackie stood quietly as her father examined her report card.
"What is this 45 in math?" asked her father.
"I think that's the size of the class," she said quickly!
If I had five coconuts and I gave you three,
how many would I have left ?
I don't know.
Why not ?In our school we do all our arithmetic in apples and oranges.
If I had seven oranges in one hand and eight oranges in the other,
what would I have ?
Big hands !
The teacher was giving her pupils a quiz on counting.
Jackie got things started by counting from 1 to 10.
"Now, Fred," said the teacher,
"you take over, beginning with 11.""11, 14, 23, 42, 26," said Fred.
"What kind of counting is that'?
" asked the teacher"Who's counting'?" replied Fred.
"I'm calling signals.
"If you got $10 from 10 people, what would you have ?
A new bike !
Why was the maths book unhappy
It had too many problems
What kind of tree does a math teacher climb?
Geometry !
What do you have to know to get top grades in geometry ?
All the angles !
What kind of pliers do you use in arithmetic?
Multipliers !
If you had one dollar and you asked your father for another,
how many dollars would you have?
One dollar.
You don't know your arithmetic.
You don't know my father !
Jackie stood quietly as her father examined her report card.
"What is this 45 in math?" asked her father.
"I think that's the size of the class," she said quickly!
If I had five coconuts and I gave you three,
how many would I have left ?
I don't know.
Why not ?In our school we do all our arithmetic in apples and oranges.
If I had seven oranges in one hand and eight oranges in the other,
what would I have ?
Big hands !
The teacher was giving her pupils a quiz on counting.
Jackie got things started by counting from 1 to 10.
"Now, Fred," said the teacher,
"you take over, beginning with 11.""11, 14, 23, 42, 26," said Fred.
"What kind of counting is that'?
" asked the teacher"Who's counting'?" replied Fred.
"I'm calling signals.
"If you got $10 from 10 people, what would you have ?
A new bike !
Why was the maths book unhappy
It had too many problems
UJI MINDA
a.Jarum Panjang dan Jarum PendekJam dinding menunjukkan waktu pukul 12 tengah hari di mana jarum panjang sedang bertindih dengan jarum pendek. Dari waktu ini hingga ke-12 tengah malam, berapa kalikah jarum panjang akan bertindih dengan jarum pendek itu?
b.Berapa Ekor Ikan ?Sebuah aquarium telah dimasukkan sebaldi ekor ikan emas. Sejam kemudian 10 ekor ikan emas telah mati, iaitu 10 ekor daripada jumlahnya. Berapa ekor ikankah yang masih tinggal dalam aquarium itu ?
c.Umur Kura-kuraSeekor kera bertanya mengenai umur kura-kura yang dinaikinya. Kura-kura itu berkata "Semasa saya berumur 8 tahun, bapa saya berumur 34 tahun. Sekarang umur bapa saya 3 kali umur saya". Kera itu pun menggarukan kepalanya. Bolehkah anda menolongnya mencari umur kura-kura itu ?
d.Itik dan ArnabDalam sebuah sangkar terdapat 44 ekor haiwan yang terdiri daripada arnab dan itik. Jumlah kaki yang terdapat pada haiwan di situ ialah 100 batang. Ada berapa ekorkah itik dan arnab dalam sangkar itu ?
e.Apakah nombor itu ?Seorang guru memberikan suatu nombor kepada murid-muridnya. Murid-murid itu dikehendaki kuasa duakan nombor itu kemudian mengurangkan 39 darinya. Seorang murid yang tidak memberi perhatian pula mencari punca kuasa dua nombor itu kemudian menambah 39 kepadanya. Walau bagaimanapun, ia mendapat jawapan yang sama seperti murid-murid yang lain. Apakah nombor yang diberi oleh guru itu?
f.Tali dan AirSeorang pelayar menurunkan satu hujung daripada segelung tali dari tepi kapalnya. Hujung tali itu tidak menyentuh air. Jarak di anata hujung tali itu dengan permukaan air ialah satu perempat meter. Air laut di pelabuhan itu semakin meningkat pada kadar 1 meter per minit. dalam masa berapa minitkah air laut akan menyentuh hujung tali itu.
g.Aziz Dengan Sarung KakinyaAziz mempunyai 38 helai sarung kaki yang telah disimpan dalam sebuah bilik yang sangat gelap. 18 di antaranya adalah berwarna hijau dan yang lain warna biru. Pada suatu hari, Aziz ingin mengeluarkan sepasang sarung kaki dari bilik itu tanpa memasangkan lampu bilik. Dia perlu mengeluarkan sekurang-kurang berapakah sarung kaki supaya dia mendapat sepasang yang sama warnanya?
h.Siapa orang itu ?Dua orang sedang berjalan bersama-sama. Seorang darinya ialah dewasa dan seorang lagi kanak-kanak. Kanak-kanak itu adalah anak bagi orang dewasa itu tetapi orang dewasa itu bukan bapanya. Siapakah orang dewasa itu ?
b.Berapa Ekor Ikan ?Sebuah aquarium telah dimasukkan sebaldi ekor ikan emas. Sejam kemudian 10 ekor ikan emas telah mati, iaitu 10 ekor daripada jumlahnya. Berapa ekor ikankah yang masih tinggal dalam aquarium itu ?
c.Umur Kura-kuraSeekor kera bertanya mengenai umur kura-kura yang dinaikinya. Kura-kura itu berkata "Semasa saya berumur 8 tahun, bapa saya berumur 34 tahun. Sekarang umur bapa saya 3 kali umur saya". Kera itu pun menggarukan kepalanya. Bolehkah anda menolongnya mencari umur kura-kura itu ?
d.Itik dan ArnabDalam sebuah sangkar terdapat 44 ekor haiwan yang terdiri daripada arnab dan itik. Jumlah kaki yang terdapat pada haiwan di situ ialah 100 batang. Ada berapa ekorkah itik dan arnab dalam sangkar itu ?
e.Apakah nombor itu ?Seorang guru memberikan suatu nombor kepada murid-muridnya. Murid-murid itu dikehendaki kuasa duakan nombor itu kemudian mengurangkan 39 darinya. Seorang murid yang tidak memberi perhatian pula mencari punca kuasa dua nombor itu kemudian menambah 39 kepadanya. Walau bagaimanapun, ia mendapat jawapan yang sama seperti murid-murid yang lain. Apakah nombor yang diberi oleh guru itu?
f.Tali dan AirSeorang pelayar menurunkan satu hujung daripada segelung tali dari tepi kapalnya. Hujung tali itu tidak menyentuh air. Jarak di anata hujung tali itu dengan permukaan air ialah satu perempat meter. Air laut di pelabuhan itu semakin meningkat pada kadar 1 meter per minit. dalam masa berapa minitkah air laut akan menyentuh hujung tali itu.
g.Aziz Dengan Sarung KakinyaAziz mempunyai 38 helai sarung kaki yang telah disimpan dalam sebuah bilik yang sangat gelap. 18 di antaranya adalah berwarna hijau dan yang lain warna biru. Pada suatu hari, Aziz ingin mengeluarkan sepasang sarung kaki dari bilik itu tanpa memasangkan lampu bilik. Dia perlu mengeluarkan sekurang-kurang berapakah sarung kaki supaya dia mendapat sepasang yang sama warnanya?
h.Siapa orang itu ?Dua orang sedang berjalan bersama-sama. Seorang darinya ialah dewasa dan seorang lagi kanak-kanak. Kanak-kanak itu adalah anak bagi orang dewasa itu tetapi orang dewasa itu bukan bapanya. Siapakah orang dewasa itu ?
Isnin, 27 Julai 2009
RESEPI KEJAYAAN
Resepi Kajayaan
Bahan-bahannya;
· 250 gm Daya usaha
· 100 gm Kesabaran
· 100 gm Keimanan
· 190 gm Keinsafan
· 150 gm Pengorbanan
· 150 gm Campuran akhlak mulia ( boleh didapati dari didikan yang baik dan sempurna )
· 8 sudu the rasa tanggungjawab
· 200 gm senyum secukup rasa
Cara-cara membuatnya:
Pukul semangat hingga menjadi kembang dan kental.
Masukkan usaha dan kesabaran, gaul sehingga sebati.
Masukkan keinsafan sedikit demi sedikit .
Biarkan adunan menjadi lembut.
Setelah itu campurkan keimanan ,
rasa tanggungjawab dan campuran akhlak mulia.
Ia perlulah dibungkus dengan kertas ingin tahu dan ingin mencuba.
Masukkan adunan tersebut ke dalam mangkuk bertimbang rasa dan tolak ansur.
Hiaslah dengan senyum yang menawan kemudian bakar dengan tenaga yang ada.
U/p : Untuk mendapatkan kek yang cantik dan elok,
jauhilah ia dari air mata putus asa walaupun setitik.
Oleh kerana kek kejayaan ini amat sukar untuk dibuat,
syabas kepada sesiapa jua yang berjaya melaksanakan dengan baik.
Semoga Berjaya
Bahan-bahannya;
· 250 gm Daya usaha
· 100 gm Kesabaran
· 100 gm Keimanan
· 190 gm Keinsafan
· 150 gm Pengorbanan
· 150 gm Campuran akhlak mulia ( boleh didapati dari didikan yang baik dan sempurna )
· 8 sudu the rasa tanggungjawab
· 200 gm senyum secukup rasa
Cara-cara membuatnya:
Pukul semangat hingga menjadi kembang dan kental.
Masukkan usaha dan kesabaran, gaul sehingga sebati.
Masukkan keinsafan sedikit demi sedikit .
Biarkan adunan menjadi lembut.
Setelah itu campurkan keimanan ,
rasa tanggungjawab dan campuran akhlak mulia.
Ia perlulah dibungkus dengan kertas ingin tahu dan ingin mencuba.
Masukkan adunan tersebut ke dalam mangkuk bertimbang rasa dan tolak ansur.
Hiaslah dengan senyum yang menawan kemudian bakar dengan tenaga yang ada.
U/p : Untuk mendapatkan kek yang cantik dan elok,
jauhilah ia dari air mata putus asa walaupun setitik.
Oleh kerana kek kejayaan ini amat sukar untuk dibuat,
syabas kepada sesiapa jua yang berjaya melaksanakan dengan baik.
Semoga Berjaya
Selasa, 14 Julai 2009
I AM LOOKING FOR A TEACHER
I am looking for a teacher
Who is beautiful inside
Honest with the students
Giving them a sense of pride
I am looking for a teacher
With a healthy self esteem
Who clearly states the rules
And doesn’t have to scream
I am looking for a teacher
Who creatively prepares
But Whose first priority
Is to convey that she cares
I am looking for a teacher
Who is interested, not aloof
Who treat her students with respect
Even when they goof
I am looking for a teacher
Who knows how to laugh and smile
Who enjoys what she’s doing
And goes the extra miles
I am looking for a teacher
Who believes all students can learn
Who praises their efforts and talents
They give their best return
I am looking for a teacher
Who communicates with parents well
Gently and carefully selecting words
When there’s problem to tell
I am looking for a teacher
Who will fill a child with desire
To love to learn more every day
With curiosity that won’t tire
I am looking for a teacher
Who encourages children to have a dream
To work at solving problems
Building their self esteem
There are some teachers out there
The kind I am looking for
For their student’s success
They have opened the door.
Who is beautiful inside
Honest with the students
Giving them a sense of pride
I am looking for a teacher
With a healthy self esteem
Who clearly states the rules
And doesn’t have to scream
I am looking for a teacher
Who creatively prepares
But Whose first priority
Is to convey that she cares
I am looking for a teacher
Who is interested, not aloof
Who treat her students with respect
Even when they goof
I am looking for a teacher
Who knows how to laugh and smile
Who enjoys what she’s doing
And goes the extra miles
I am looking for a teacher
Who believes all students can learn
Who praises their efforts and talents
They give their best return
I am looking for a teacher
Who communicates with parents well
Gently and carefully selecting words
When there’s problem to tell
I am looking for a teacher
Who will fill a child with desire
To love to learn more every day
With curiosity that won’t tire
I am looking for a teacher
Who encourages children to have a dream
To work at solving problems
Building their self esteem
There are some teachers out there
The kind I am looking for
For their student’s success
They have opened the door.
HOW TO STUDY MATHS
Math Study Skills
1. Read what the instructor will be lecturing on before you go to class.
Read slowly. Reading mathematics is not like reading a novel or even history. Speed reading techniques are not appropriate. Every word and symbol is important to the meaning. Do not skip the symbolic part of the text. This is often the most important part. If you do not understand a symbol, look in the glossary or in the earlier part of the text. Symbols are often explained when they are first introduced. If you still can not find out what a symbol means, ASK!Read with a pencil in hand. Every time the author does a problem, do it on your own—either before or after you read his or her explanation. This makes sure you know what steps have been shown and, more importantly, which ones were omitted. If there is something you do not understand, try to formulate a question about it. Often if you can ask a specific question, you can answer it yourself. If you can’t answer it, you know what part of the instructor’s lecture requires your complete attention. Your question is ready if the lecture does not clear up your misunderstanding.
2. Understand the concepts.
Don’t be satisfied with vague ideas about how to work problems. Do the examples yourself, understand the concept illustrated, then try making up your own examples. Keep in mind that the questions on the exam may be very different from the example in the book.
3. Practice.
Be sure you understand the concepts before you practice. Then practice will help you remember and give you confidence in your mastery. Force yourself to remember the methods as you work problems; don’t look back in the book.
4.Keep up with assignments (whether they are graded or not).
The pace is much faster in college and keeping up to date with assignments helps you to better understand what is going on in class.Mathematics is not a spectator sport. The only way you can learn mathematics is by doing it. Following are some suggestions for getting the most out of the time you spend on homework.Understand the purpose of homework. Homework in mathematics classes is assigned to help you understand certain concepts and to help you build certain skills. Homework is not assigned to you because it is important to get the right answers. Your instructor already knows the answers.Try to understand the process, not the specific problem. Classify problems in the assignment by problem type. Although this is often done for you by the directions, it is not always. Do each assigned problem and then check it in the back of the book. Try to figure out why you missed the ones you did instead of just working toward the answer. A similar problem may be on a test or quiz.Mark homework problems you still do not understand and get help with them before the next class. The next lecture may build on a concept or skill you did not understand in the homework. When you do get help, make notes on what you learned, so that you can study them for the test.Before closing the book, look back over the assignment and try to explain to yourself what the assignment was about, what each kind of problem was asking, how you got the answers and what the answers tell you. This process will help you understand the material and will help you discover what you don’t understand.Keep your homework in a convenient and neat notebook so that you will be able to find questions or difficulties you have quickly and easily. This will also provide an invaluable study guide for tests.
5. Ask questions.Do not hesitate to ask questions.
Ask your instructor for help after you have tried to pull class notes and textbook explanations together for review and still don’t understand. Write down specific problems so you have them ready; don’t be vague and say you just don’t understand.
6. Don’t hesitate.
Get help right away. Tutoring and help sessions are available. The longer you wait before getting help, the harder it will be to get caught up. Most of the time when you feel lost, it is just one concept that you are missing, so get help quickly. One missed concept in a math class will make the rest of your math career a hardship. Don’t feel embarrassed to ask questions and get help; even the best mathematicians have felt completely lost at some point.
TQ
1. Read what the instructor will be lecturing on before you go to class.
Read slowly. Reading mathematics is not like reading a novel or even history. Speed reading techniques are not appropriate. Every word and symbol is important to the meaning. Do not skip the symbolic part of the text. This is often the most important part. If you do not understand a symbol, look in the glossary or in the earlier part of the text. Symbols are often explained when they are first introduced. If you still can not find out what a symbol means, ASK!Read with a pencil in hand. Every time the author does a problem, do it on your own—either before or after you read his or her explanation. This makes sure you know what steps have been shown and, more importantly, which ones were omitted. If there is something you do not understand, try to formulate a question about it. Often if you can ask a specific question, you can answer it yourself. If you can’t answer it, you know what part of the instructor’s lecture requires your complete attention. Your question is ready if the lecture does not clear up your misunderstanding.
2. Understand the concepts.
Don’t be satisfied with vague ideas about how to work problems. Do the examples yourself, understand the concept illustrated, then try making up your own examples. Keep in mind that the questions on the exam may be very different from the example in the book.
3. Practice.
Be sure you understand the concepts before you practice. Then practice will help you remember and give you confidence in your mastery. Force yourself to remember the methods as you work problems; don’t look back in the book.
4.Keep up with assignments (whether they are graded or not).
The pace is much faster in college and keeping up to date with assignments helps you to better understand what is going on in class.Mathematics is not a spectator sport. The only way you can learn mathematics is by doing it. Following are some suggestions for getting the most out of the time you spend on homework.Understand the purpose of homework. Homework in mathematics classes is assigned to help you understand certain concepts and to help you build certain skills. Homework is not assigned to you because it is important to get the right answers. Your instructor already knows the answers.Try to understand the process, not the specific problem. Classify problems in the assignment by problem type. Although this is often done for you by the directions, it is not always. Do each assigned problem and then check it in the back of the book. Try to figure out why you missed the ones you did instead of just working toward the answer. A similar problem may be on a test or quiz.Mark homework problems you still do not understand and get help with them before the next class. The next lecture may build on a concept or skill you did not understand in the homework. When you do get help, make notes on what you learned, so that you can study them for the test.Before closing the book, look back over the assignment and try to explain to yourself what the assignment was about, what each kind of problem was asking, how you got the answers and what the answers tell you. This process will help you understand the material and will help you discover what you don’t understand.Keep your homework in a convenient and neat notebook so that you will be able to find questions or difficulties you have quickly and easily. This will also provide an invaluable study guide for tests.
5. Ask questions.Do not hesitate to ask questions.
Ask your instructor for help after you have tried to pull class notes and textbook explanations together for review and still don’t understand. Write down specific problems so you have them ready; don’t be vague and say you just don’t understand.
6. Don’t hesitate.
Get help right away. Tutoring and help sessions are available. The longer you wait before getting help, the harder it will be to get caught up. Most of the time when you feel lost, it is just one concept that you are missing, so get help quickly. One missed concept in a math class will make the rest of your math career a hardship. Don’t feel embarrassed to ask questions and get help; even the best mathematicians have felt completely lost at some point.
TQ
Sabtu, 11 Julai 2009
PETUA CEMERLANG DALAM MATEMATIK
Minat dalam matematik belum pasti menjamin kejayaan anda dalam subjek matematik. Matematik merupakan pelajaran yang unik dan ia amat penting untuk membantu mencorak masa depan yang cemerlang.
Jadi untuk cemerlang dalam matematik kita perlu mengetahui beberapa perkara penting untuk membantu kita cemerlang dalam matematik.
Ada 3 perkara penting untuk membantu kita cemerlang dalam metematik.
Perkara-perkara tersebut ialah;
1. Teknik Belajar Matematik
2. Penyelesaian Masalah
3. Belajar Untuk Peperiksaan / Ujian Matematik
1. TEKNIK BELAJAR MATEMATIK
A. Teknik Belajar Matematik - Pembelajaran Aktif Vs Pembelajaran Pasif
Proses pembelajaran matematik memerlukan teknik belajar aktif. Sewaktu belajar matematik, anda perlu;
Mengenalpasti apa yang anda tahu dan apa yang anda tidak tahu. Dan anda juga perlu tahu bagaimana untuk meminta bantuan guru bagi menyelesaikan masalah yang anda tidak tahu. (banyak membuat latihan)
Jangan sekali-kali ponteng kelas matematik. Bila anda ponteng, anda sukar untuk meneruskan pembelajaran Matematik kerana topiknya bersambungan. Pembelajaran matematik melalui guru adalah lebih berkesan berbanding belajar sendiri.
Aktifkan diri anda dalam kelas matematik. Belajar dahulu sedikit secara bersendirian sebelum kelas matematik.
Ambil peluang untuk bertanya apa yang anda tidak faham bila berpeluang.
Berjumpa guru diwaktu rehat untuk bertanyakan masalah yang kamu tidak tahu. Cara bergini akan lebih mendekatkan kamu dengan guru. Ini lebih memotivasikan kamu untuk berjaya dalam matematik.
B. Masa Belajar Matematik
Masa belajar matematik adalah bergantung kepada anda tetapi disarankan sekurang-kurangnya 2 jam sehari dan lakukan tiap-tiap hari.
Pastikan setiap soalan adalah benar-benar bekualiti dan mencabar.
Untuk mengelakan rasa bosan anda bolehlah mewujudkan kumpulan belajar matematik.
2. PENYELESAIAN MASALAH
A. Jenis-jenis masalah dalam matematik
Jenis-jenis masalah dalam matematik yang sering kita temui dalam peperiksaan.
1) Masalah yang menguji daya ingatan (Penyelesaiannya ialah latih-tubi)
2) Masalah yang menguji kemahiran (latih-tubi)
3) Masalah yang berkaitan penggunaan kemahiran matematik dalam kehidupan harian.
4) Masalah yang berkaitan penggunaan kemahiran matematik bukan dalam kehidupan harian.
5) Masalah yang memerlukan anda menggunakan teori tertentu untuk menyelesaikanya.
Masalah 1,2 dan 3 adalah masalah yang biasa kita temui. Jalan penyelesaianya juga adalah tidak panjang. Tetapi untuk masalah 4 dan 5 jalan penyelesaiannya adalah panjang dan kadangkala kita memerlukan pelbagai kemahiran matematik untuk menyelesaikanya.
Melakukan kerja rumah adalah satu langkah yang baik untuk membantu memahirkan diri dalam menyelesaikan masalah matematik. Jika anda membuat kerja rumah berkaitan dengan masalah di atas, anda dinasihatkan melakukan jalan kerja dengan sepenuhnya.
Kekerapan melakukan latihan seperti kerja rumah akan meningkatkan kemahiran menyelesaikan masalah.
B. Tip-tip menyelesaikan masalah matematik.
Aplikasi 4 langkah PÓlya’s;
Fahami masalah : Baca keseluruhan soalan dan kenalpasti masalah yang dikemukakan.
Rancang penyelesaian masalah anda. Kenalpasti kaedah yang sesuai untuk menyelesaikan masalah yang diberi.
Selesaikan masalah seperti yang dirancang.
Lihat kembali adakah penyelesaian yang anda perolehi adalah munasabah. Dengan menggunakan kaedah yang sama, cuba selesaikan soalan yang lebih mudah yang anda pasti jawapanya.
Sesetengah masalah memerlukan anda menggunakan pelbagai strategi. Ada yang memerlukan kita melukis gambar, melakar gambarajah, membina jadual, membina senarai, memcipta formula, mengulang-ngulang jalan kerja dan sebagainya.
C. Tip menyelesaikan masalah soalan berbentuk tulisan (word problem)
Apabila melihat soalan yang panjang dihuraikan, murid biasanya akan meninggalkan soalan tersebut. Ini kerana ramai yang beranggapan yang soalan sebegini sukar.
Terdapat cara untuk menyelesaikan masalah ini.
Mula-mula kita perlu membaca keseluruhan soalan. Kenalpasti masalah yang diutarakan. Lukis gambarajah jika perlu. Ubah soalan tadi ke dalam bentuk ayat matematik.
Selesaikan masalah matematik yang telah anda bentuk tadi.
Tulis kembali jawapanya dalam bentuk ayat.
3. BELAJAR UNTUK PEPERIKSAAN
A. Belajar Untuk Peperiksaan / Ujian Matematik
Apabila ujian atau peperiksaan hampir menjelang tiba kita wajib memastikan yang kita telah berjaya menguasai semua topik yang kita pelajari. Caranya ialah dengan cuba menjawab setiap soalan bagi setiap topik yang ada.
Pastikan anda berjaya menjawab soalan dengan baik dan pastikan juga masa yang diambil untuk menjawab soalan adalah sesuai dengan soalan yang diberi.
Jika masih menghadapi masalah, jangan segan untuk berjumpa dengan guru anda untuk mengemukakan masalah tersebut.
Anda PERLULAH memulakan ulangkaji seawal yang mungkin supaya anda mempunyai masa yang cukup untuk mengulangkaji.
SEKIAN TERIMA KASIH
MOHD NIZAM BIN MAD TAHIR
Jadi untuk cemerlang dalam matematik kita perlu mengetahui beberapa perkara penting untuk membantu kita cemerlang dalam matematik.
Ada 3 perkara penting untuk membantu kita cemerlang dalam metematik.
Perkara-perkara tersebut ialah;
1. Teknik Belajar Matematik
2. Penyelesaian Masalah
3. Belajar Untuk Peperiksaan / Ujian Matematik
1. TEKNIK BELAJAR MATEMATIK
A. Teknik Belajar Matematik - Pembelajaran Aktif Vs Pembelajaran Pasif
Proses pembelajaran matematik memerlukan teknik belajar aktif. Sewaktu belajar matematik, anda perlu;
Mengenalpasti apa yang anda tahu dan apa yang anda tidak tahu. Dan anda juga perlu tahu bagaimana untuk meminta bantuan guru bagi menyelesaikan masalah yang anda tidak tahu. (banyak membuat latihan)
Jangan sekali-kali ponteng kelas matematik. Bila anda ponteng, anda sukar untuk meneruskan pembelajaran Matematik kerana topiknya bersambungan. Pembelajaran matematik melalui guru adalah lebih berkesan berbanding belajar sendiri.
Aktifkan diri anda dalam kelas matematik. Belajar dahulu sedikit secara bersendirian sebelum kelas matematik.
Ambil peluang untuk bertanya apa yang anda tidak faham bila berpeluang.
Berjumpa guru diwaktu rehat untuk bertanyakan masalah yang kamu tidak tahu. Cara bergini akan lebih mendekatkan kamu dengan guru. Ini lebih memotivasikan kamu untuk berjaya dalam matematik.
B. Masa Belajar Matematik
Masa belajar matematik adalah bergantung kepada anda tetapi disarankan sekurang-kurangnya 2 jam sehari dan lakukan tiap-tiap hari.
Pastikan setiap soalan adalah benar-benar bekualiti dan mencabar.
Untuk mengelakan rasa bosan anda bolehlah mewujudkan kumpulan belajar matematik.
2. PENYELESAIAN MASALAH
A. Jenis-jenis masalah dalam matematik
Jenis-jenis masalah dalam matematik yang sering kita temui dalam peperiksaan.
1) Masalah yang menguji daya ingatan (Penyelesaiannya ialah latih-tubi)
2) Masalah yang menguji kemahiran (latih-tubi)
3) Masalah yang berkaitan penggunaan kemahiran matematik dalam kehidupan harian.
4) Masalah yang berkaitan penggunaan kemahiran matematik bukan dalam kehidupan harian.
5) Masalah yang memerlukan anda menggunakan teori tertentu untuk menyelesaikanya.
Masalah 1,2 dan 3 adalah masalah yang biasa kita temui. Jalan penyelesaianya juga adalah tidak panjang. Tetapi untuk masalah 4 dan 5 jalan penyelesaiannya adalah panjang dan kadangkala kita memerlukan pelbagai kemahiran matematik untuk menyelesaikanya.
Melakukan kerja rumah adalah satu langkah yang baik untuk membantu memahirkan diri dalam menyelesaikan masalah matematik. Jika anda membuat kerja rumah berkaitan dengan masalah di atas, anda dinasihatkan melakukan jalan kerja dengan sepenuhnya.
Kekerapan melakukan latihan seperti kerja rumah akan meningkatkan kemahiran menyelesaikan masalah.
B. Tip-tip menyelesaikan masalah matematik.
Aplikasi 4 langkah PÓlya’s;
Fahami masalah : Baca keseluruhan soalan dan kenalpasti masalah yang dikemukakan.
Rancang penyelesaian masalah anda. Kenalpasti kaedah yang sesuai untuk menyelesaikan masalah yang diberi.
Selesaikan masalah seperti yang dirancang.
Lihat kembali adakah penyelesaian yang anda perolehi adalah munasabah. Dengan menggunakan kaedah yang sama, cuba selesaikan soalan yang lebih mudah yang anda pasti jawapanya.
Sesetengah masalah memerlukan anda menggunakan pelbagai strategi. Ada yang memerlukan kita melukis gambar, melakar gambarajah, membina jadual, membina senarai, memcipta formula, mengulang-ngulang jalan kerja dan sebagainya.
C. Tip menyelesaikan masalah soalan berbentuk tulisan (word problem)
Apabila melihat soalan yang panjang dihuraikan, murid biasanya akan meninggalkan soalan tersebut. Ini kerana ramai yang beranggapan yang soalan sebegini sukar.
Terdapat cara untuk menyelesaikan masalah ini.
Mula-mula kita perlu membaca keseluruhan soalan. Kenalpasti masalah yang diutarakan. Lukis gambarajah jika perlu. Ubah soalan tadi ke dalam bentuk ayat matematik.
Selesaikan masalah matematik yang telah anda bentuk tadi.
Tulis kembali jawapanya dalam bentuk ayat.
3. BELAJAR UNTUK PEPERIKSAAN
A. Belajar Untuk Peperiksaan / Ujian Matematik
Apabila ujian atau peperiksaan hampir menjelang tiba kita wajib memastikan yang kita telah berjaya menguasai semua topik yang kita pelajari. Caranya ialah dengan cuba menjawab setiap soalan bagi setiap topik yang ada.
Pastikan anda berjaya menjawab soalan dengan baik dan pastikan juga masa yang diambil untuk menjawab soalan adalah sesuai dengan soalan yang diberi.
Jika masih menghadapi masalah, jangan segan untuk berjumpa dengan guru anda untuk mengemukakan masalah tersebut.
Anda PERLULAH memulakan ulangkaji seawal yang mungkin supaya anda mempunyai masa yang cukup untuk mengulangkaji.
SEKIAN TERIMA KASIH
MOHD NIZAM BIN MAD TAHIR
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