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SME 3023
TRENDS AND ISSUES IN EDUCATIONAL FOR
MATHEMATICAL SCIENCES
KEPERCAYAAN PELAJAR
NAMA NO. MATRIX
FARAH WAHEEDA BINTI MD ARIFIN D20111048000
HOO WEN LING D20111048001
NGU XUE LEE D20111048010
Definisi Kepercayaan
Kepercayaan Pelajar
terhadap Ciri-ciri Matematik
Matematik boleh diselesaikan dengan satu cara
sahaja. SD-52%, D-42%, A-3%, SA-2%
Sebahagian pelajar mempunyai bakat natural
dalam Matematik dan sebahagian tidak. SD-7%,
D-37%, A-48%, SA-8%
Sebahagian orang pandai dalam Matematik dan
sebahagian tidak. SD-9%, D-34%. A-52%, SA-
5%
Matematik adalah sesuatu samada betul atau
salah. SD-9%, D-34%, A-52%, SA-5%
(Effandi Zakaria et al., 2010)
Kepercayaan pelajar terhadap ciri-ciri
Matematik
• Andriane Kele, 2014 menyatakan bahawa
kepercayaa pelajar terhadap ciri-ciri Matematik
boleh dibahagikan kepada 4 katogeri.
Kandungan Matematik
Ramai pelajar yang menyatakan nombor dan operasi
seperti tambah, tolak, darab dan bahagi apabila
ditanya apa itu Matematik.
Antaranya yang istimewa adalah
Patterns ... because plus is minus and plus is times
and times is division and division is fractions and
fractions is decimals and decimals is percentages
and it goes on and on.
( Young-Loveridge et al., 2006)
Kandungan Matematik
7 daripada 20 pelajar telah memberi respon bahawa Matematik
ialah kandungan Matematik. Pelajar umur 12 tahun.
7 daripada 20 pelajar telah memberi respon bahawa Matematik
ialah kandungan Matematik. Pelajar umur 12 tahun.
1. Pelajar sebut tentang nombor dan pengiraan dengan menggunakan formula.
Mathematics is all about number and calculations. It involves counting and
using numbers.
Maths mainly deals with calculations. It is more of dealing with formulas.
2. Pelajar sebut tentang pengiraan pembolehubah dengan menggunakan
nombor.
Mathematics is mainly about calculations of finding unknown quantities. It
deals with numbers by which we use numbers to calculate the unknown
quantities .
Mathematics is a subject that deals with calculations and using numbers. It
has to do with counting and calculating unknown answers
3. Pelajar sebut tentang topik dan explorasi.
Mathematics is statistics, algebra, etc. Mathematics is all about finding and
exploring new topics. It involves formulas and calculations.
(Andriane Kele, 2014 )
1. Pelajar sebut tentang nombor dan pengiraan dengan menggunakan formula.
Mathematics is all about number and calculations. It involves counting and
using numbers.
Maths mainly deals with calculations. It is more of dealing with formulas.
2. Pelajar sebut tentang pengiraan pembolehubah dengan menggunakan
nombor.
Mathematics is mainly about calculations of finding unknown quantities. It
deals with numbers by which we use numbers to calculate the unknown
quantities .
Mathematics is a subject that deals with calculations and using numbers. It
has to do with counting and calculating unknown answers
3. Pelajar sebut tentang topik dan explorasi.
Mathematics is statistics, algebra, etc. Mathematics is all about finding and
exploring new topics. It involves formulas and calculations.
(Andriane Kele, 2014 )
Proses Matematik
understanding mathematics problems is using direct
application of rules, formulas and procedures
illustrated in text books and exemplified by the
teacher (Mapolelo, 2009).
mathematics as learning and understanding all the
processes. These students believed that mathematics
requires understanding possible ways to solve
complex problems using numbers and equations.
(Presmeg, 2002)
Proses Matematik
1. Pelajar yang sebut Matematik ialah
menggunakan formula untuk penyelesaian
masalah.
 Mathematics is a subject that deals with rules and problem
solving. People remember formulas and procedures to use
and to make calculations in solving problem.
 Mathematics is a subject that deals with formulas and
procedures to problem solving. People are used to
memorizing formulas, and follow procedures to do
calculations.
(Andriane Kele, 2014 )
Proses kognitif
Mengetahui
konsep
Matematik dan
gabung apa yang
telah dibelajari.
Mengetahui
konsep
Matematik dan
gabung apa yang
telah dibelajari.
One emphasis on the cognitive thinking
processes in relation to mathematics problem
solving is that students may be able to apply
concepts and procedures and invent new
methods of solving problems.
( Young-Loveridge et al., 2006)
Proses kognitif
1. Pelajar sebut Matematik ialah penekaan
dalam pembelajaran konsep Matematik.
 Mathematics is like learning about numbers and how to calculate
problems. It involves learning graphs and understanding concepts.
And it is an easy subject to learn
2. Pelajar yang sebut ciri Matematik ialah
pemikiran.
 According to my thinking about mathematics, it is one of the
subjects… that make us think. For instance, when you do
mathematics it will make your mind think better and can expand
your thinking capacity
 Mathematics is a subject that makes people think.
 Mathematics is one of the subjects … that requires one to think
before getting the answer when doing calculations and solving
questions
Kegunaan Metamatik
• they expected to apply mathematics
knowledge in jobs, sports and banks.
(Boaler‘s ,2002)
• mathematics is needed for many jobs and
employments in the future.
(Young-Loveridge, et al., 2006)
Kegunaan Matematik
1. Pelajar rasa Matematik yang dibelajari dalam sekolah
adalah berguna dalam kehidupan harian.
 I thought about mathematics is all about how we live. We live in a world of
mathematics. Everything we deal with involve calculations. It involves
thinking and solve problems we face using ideas of mathematics. That‘s
how I thought about it.
2. Pelajar yang sebut Matematik adalah berguna untuk
mengatasi masalah dan juga dalam perniagaan komersial.
 Mathematics involves our daily aspect of life. It is used in our daily life to
overcome difficulties we experience in our daily lives. It can be used in
business, industry and the commercial world.
3. Pelajar rasa Matematik berguna dalam kehidupan seharian
semasa membuat keputusan.
 Mathematics is involved in life situations to make decision, for example, in
the probability topic you can predict the likely event whether it will be
going to rain or not. It involves calculations of numbers. Mathematics is
used in the market, time and finding rates
KEPERCAYAAN
PELAJAR
TERHADAP DIRI
SENDIRI
• SELF CONCEPT
Merujuk kepada
kepercayaan pelajar
terhadap kemampuannya
untuk sesuatu subjek.
Contoh : Saya percaya yang
Matematik adalah subjek
yang paling senang bagi
saya.
• Anxiety
Merujuk kepada
kebimbangan yang dihadapi
oleh pelajar semasa
berhadapan dengan
Matematik.
Contoh : Saya rasa nervous
setiap kali jawab soalan
Matematik.
• Self-efficacy
Adalah keyakinan pelajar
bahawa dia mampu
menghasilkan keputusan
pada masa hadapan.
Contoh : Walaupun
Matematik ini susah, tapi
saya boleh belajar
tentangnya.
• Self-confidence
Merujuk kepada keyakinan pelajar terhadap
kemampuan dirinya sendiri.
Contoh : Saya yakin yang saya dah jawab
semua soalan ujian tadi dengan betul.
Soalan-soalan yang ditanya kepada pelajar
untuk mengetahui tahap kepercayaan mereka
terhadap Matematik dalam jurnal Assessing
Students’s Belief About Mathematics.
(Denise A. Spagler, 1992)
1. Di dalam satu ujian Matematik, anda terlihat
jawapan rakan di sebelah anda berbeza dengan
jawapan rakan. Apakah yang akan anda
lakukan?
Respon pelajar :
1) Kedua-duanya akan membuat pengiraan semula terhadap
soalan tersebut. Tujuannya, mungkin salah seorang telah
membuat kesilapan semasa melakukan pengiraan.
2) Bergantung kepada siapakah rakan tersebut.
Jawapan pelajar A ialah ½ dan jawapan pelajar B pula
ialah 0.5. Kedua-dua pelajar akan tetap berfikir yang
kedua-dua jawapan tersebut adalah berbeza.
Pelajar percaya bahawa Matematik boleh mempunyai
satu jawapan sahaja. (Frank,1998)
2. Apakah yang membuatkan anda
yakin bahawa anda telah
menjawab soalan Matematik
dengan betul?
Respons pelajar :
1.Buat pengiraan semula.
2.Cek jawapan dengan guru dan rakan.
3.Melakukan backward solution.
4.Memasukkan nilai
Tidak ada pelajar yang telah memberikan
respons untuk menyemak semula jawapan
mereka sama ada jawapan mereka logik atau
pun tidak berdasarkan soalan yang diberi.
Satu bas boleh memuatkan sebanyak 36 orang
askar. Jika seramai 1128 orang askar perlu
menaiki bas ke tempat latihan, berapa banyak bas
yang diperlukan?
National Assessment of Educational Progress (NAEP), 2007
• 29% menjawab 31 baki 12
• 18% menjawab 31
• 23% menjawab 32
• 30% memberikan jawapan selain daripada di atas.
• Pelajar langsung tidak melihat sama ada jawapan yang diberikan
logik atau tidak dalam konteks soalan tersebut. (Schoenfeld,1987)
Tahap kebimbangan pelajar
terhadap Matematik
Factors Causing Mathematics Anxiety Among
Students (Hasbee Usop, Nur A’ain, Hong Kian Sam et.
al, 2011)
HUBUNGAN SIKAP, KEBIMBANGAN DAN TABIAT
PEMBELAJARAN DENGAN PENCAPAIAN MATEMATIK
TAMBAHAN
Arsaythamby Veloo & and Shamsuddin Muhammad, 2011
• Dapatan kajian menunjukkan kebimbangan dalam
mempelajari matematik merupakan penyumbang terbesar iaitu
10% terhadap pencapaian matematik tambahan.
Persepsi Pelajar Terhadap
Guru Matematik
Merrilyn Goos, 2006
Almost always there is one teacher who stands out in
their memory, occasionally as someone whose
ridicule or harsh words caused feelings of shame and
discomfort, but most often as a teacher fondly
remembered for inspiring a love of mathematics
through their patience, enthusiasm, and willingness to
help students outside of class time.
(Merrilyn Goos, 2006)
We have the power to engage or alternate students in
ways they will remember for the rest of their lives.
 Teachers’ behaviours were among the most
important factors to enhance student motivation, thus
leading students to success.
(Doyran, 2000)
 It can be firmly concluded from research that
teacher behaviour in classrooms is positively related
to student achievement.
(Creemers, 1994)
Pengaruh Guru Terhadap Pelajar
Ciri-ciri Guru Ideal
Klasifikasi Kualiti Guru Matematik – Pelajar Sekolah
Menengah (Berinderjeet Kaur, 2004)
Personal Qualities
• Patient
• Helpful
• Hardworking
• Responsible
• Punctual
• Humorous
• Confident
• Calm/ good tempered
• Courteous/ pleasant/ nice
• Neat
• Cheerful
• Enthusiastic
• Humble
• Serious/dedicated
Instruction/ Pedagogy
• Explains clearly
• Simple and easy exposition
• Good in maths/ clever
• Teach slowly/ show more examples
• Correct pacing
• Show working step by step
• Systematic planning/ well planned
• Not boring/ interesting
• Ensures pupils understand
• Provides individual help
• Good notes/ worksheets
• Make maths meaningful/ different approaches
• Group work/ discussion/ pupil participation
• Stimulate thinking
• Experienced
Relationship/ Rapport
• Strict/ firm
• Not fierce/ approachable/ encouraging/ motivating/ friendly
• Lenient
• Supportive
• Fair
• Ensures class is attentive
• Authoritative
• Caring/ kind
• Understanding
• Listens to pupils
• Answers questions
• Never gives up hope on pupils
Homework Policies/ Expectations
• Demanding/ a lot of homework
• Moderate homework
• Not too much work
• Do work in class
• Constant review/ reinforcement
• Serious with pupils’ work
• Checks homework/ goes through homework
• Give difficult problems
• Regular tests/ assessment
• Encourage pupils to do more sums
The qualities of caring, skilful and humorous
emerged among the top three qualities of all the
groups interviewed (high-achieving, medium-
achieving and low achieving secondary pupils).
(Lim Bee Hean, 1997)
Faktor-faktor Mempengaruhi
Kepercayaan Pelajar Terhadap
Matematik
Erin Goodykoontz, 2008
SEKIAN
TERIMA
KASIH…

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Kepercayaan pelajar

  • 1. SME 3023 TRENDS AND ISSUES IN EDUCATIONAL FOR MATHEMATICAL SCIENCES KEPERCAYAAN PELAJAR NAMA NO. MATRIX FARAH WAHEEDA BINTI MD ARIFIN D20111048000 HOO WEN LING D20111048001 NGU XUE LEE D20111048010
  • 3.
  • 4. Kepercayaan Pelajar terhadap Ciri-ciri Matematik Matematik boleh diselesaikan dengan satu cara sahaja. SD-52%, D-42%, A-3%, SA-2% Sebahagian pelajar mempunyai bakat natural dalam Matematik dan sebahagian tidak. SD-7%, D-37%, A-48%, SA-8% Sebahagian orang pandai dalam Matematik dan sebahagian tidak. SD-9%, D-34%. A-52%, SA- 5% Matematik adalah sesuatu samada betul atau salah. SD-9%, D-34%, A-52%, SA-5% (Effandi Zakaria et al., 2010)
  • 5. Kepercayaan pelajar terhadap ciri-ciri Matematik • Andriane Kele, 2014 menyatakan bahawa kepercayaa pelajar terhadap ciri-ciri Matematik boleh dibahagikan kepada 4 katogeri.
  • 7. Ramai pelajar yang menyatakan nombor dan operasi seperti tambah, tolak, darab dan bahagi apabila ditanya apa itu Matematik. Antaranya yang istimewa adalah Patterns ... because plus is minus and plus is times and times is division and division is fractions and fractions is decimals and decimals is percentages and it goes on and on. ( Young-Loveridge et al., 2006)
  • 8. Kandungan Matematik 7 daripada 20 pelajar telah memberi respon bahawa Matematik ialah kandungan Matematik. Pelajar umur 12 tahun. 7 daripada 20 pelajar telah memberi respon bahawa Matematik ialah kandungan Matematik. Pelajar umur 12 tahun. 1. Pelajar sebut tentang nombor dan pengiraan dengan menggunakan formula. Mathematics is all about number and calculations. It involves counting and using numbers. Maths mainly deals with calculations. It is more of dealing with formulas. 2. Pelajar sebut tentang pengiraan pembolehubah dengan menggunakan nombor. Mathematics is mainly about calculations of finding unknown quantities. It deals with numbers by which we use numbers to calculate the unknown quantities . Mathematics is a subject that deals with calculations and using numbers. It has to do with counting and calculating unknown answers 3. Pelajar sebut tentang topik dan explorasi. Mathematics is statistics, algebra, etc. Mathematics is all about finding and exploring new topics. It involves formulas and calculations. (Andriane Kele, 2014 ) 1. Pelajar sebut tentang nombor dan pengiraan dengan menggunakan formula. Mathematics is all about number and calculations. It involves counting and using numbers. Maths mainly deals with calculations. It is more of dealing with formulas. 2. Pelajar sebut tentang pengiraan pembolehubah dengan menggunakan nombor. Mathematics is mainly about calculations of finding unknown quantities. It deals with numbers by which we use numbers to calculate the unknown quantities . Mathematics is a subject that deals with calculations and using numbers. It has to do with counting and calculating unknown answers 3. Pelajar sebut tentang topik dan explorasi. Mathematics is statistics, algebra, etc. Mathematics is all about finding and exploring new topics. It involves formulas and calculations. (Andriane Kele, 2014 )
  • 10. understanding mathematics problems is using direct application of rules, formulas and procedures illustrated in text books and exemplified by the teacher (Mapolelo, 2009). mathematics as learning and understanding all the processes. These students believed that mathematics requires understanding possible ways to solve complex problems using numbers and equations. (Presmeg, 2002)
  • 11. Proses Matematik 1. Pelajar yang sebut Matematik ialah menggunakan formula untuk penyelesaian masalah.  Mathematics is a subject that deals with rules and problem solving. People remember formulas and procedures to use and to make calculations in solving problem.  Mathematics is a subject that deals with formulas and procedures to problem solving. People are used to memorizing formulas, and follow procedures to do calculations. (Andriane Kele, 2014 )
  • 12. Proses kognitif Mengetahui konsep Matematik dan gabung apa yang telah dibelajari. Mengetahui konsep Matematik dan gabung apa yang telah dibelajari.
  • 13. One emphasis on the cognitive thinking processes in relation to mathematics problem solving is that students may be able to apply concepts and procedures and invent new methods of solving problems. ( Young-Loveridge et al., 2006)
  • 14. Proses kognitif 1. Pelajar sebut Matematik ialah penekaan dalam pembelajaran konsep Matematik.  Mathematics is like learning about numbers and how to calculate problems. It involves learning graphs and understanding concepts. And it is an easy subject to learn 2. Pelajar yang sebut ciri Matematik ialah pemikiran.  According to my thinking about mathematics, it is one of the subjects… that make us think. For instance, when you do mathematics it will make your mind think better and can expand your thinking capacity  Mathematics is a subject that makes people think.  Mathematics is one of the subjects … that requires one to think before getting the answer when doing calculations and solving questions
  • 16. • they expected to apply mathematics knowledge in jobs, sports and banks. (Boaler‘s ,2002) • mathematics is needed for many jobs and employments in the future. (Young-Loveridge, et al., 2006)
  • 17. Kegunaan Matematik 1. Pelajar rasa Matematik yang dibelajari dalam sekolah adalah berguna dalam kehidupan harian.  I thought about mathematics is all about how we live. We live in a world of mathematics. Everything we deal with involve calculations. It involves thinking and solve problems we face using ideas of mathematics. That‘s how I thought about it. 2. Pelajar yang sebut Matematik adalah berguna untuk mengatasi masalah dan juga dalam perniagaan komersial.  Mathematics involves our daily aspect of life. It is used in our daily life to overcome difficulties we experience in our daily lives. It can be used in business, industry and the commercial world. 3. Pelajar rasa Matematik berguna dalam kehidupan seharian semasa membuat keputusan.  Mathematics is involved in life situations to make decision, for example, in the probability topic you can predict the likely event whether it will be going to rain or not. It involves calculations of numbers. Mathematics is used in the market, time and finding rates
  • 19.
  • 20.
  • 21. • SELF CONCEPT Merujuk kepada kepercayaan pelajar terhadap kemampuannya untuk sesuatu subjek. Contoh : Saya percaya yang Matematik adalah subjek yang paling senang bagi saya.
  • 22. • Anxiety Merujuk kepada kebimbangan yang dihadapi oleh pelajar semasa berhadapan dengan Matematik. Contoh : Saya rasa nervous setiap kali jawab soalan Matematik.
  • 23. • Self-efficacy Adalah keyakinan pelajar bahawa dia mampu menghasilkan keputusan pada masa hadapan. Contoh : Walaupun Matematik ini susah, tapi saya boleh belajar tentangnya.
  • 24. • Self-confidence Merujuk kepada keyakinan pelajar terhadap kemampuan dirinya sendiri. Contoh : Saya yakin yang saya dah jawab semua soalan ujian tadi dengan betul.
  • 25. Soalan-soalan yang ditanya kepada pelajar untuk mengetahui tahap kepercayaan mereka terhadap Matematik dalam jurnal Assessing Students’s Belief About Mathematics. (Denise A. Spagler, 1992)
  • 26. 1. Di dalam satu ujian Matematik, anda terlihat jawapan rakan di sebelah anda berbeza dengan jawapan rakan. Apakah yang akan anda lakukan?
  • 27. Respon pelajar : 1) Kedua-duanya akan membuat pengiraan semula terhadap soalan tersebut. Tujuannya, mungkin salah seorang telah membuat kesilapan semasa melakukan pengiraan. 2) Bergantung kepada siapakah rakan tersebut. Jawapan pelajar A ialah ½ dan jawapan pelajar B pula ialah 0.5. Kedua-dua pelajar akan tetap berfikir yang kedua-dua jawapan tersebut adalah berbeza. Pelajar percaya bahawa Matematik boleh mempunyai satu jawapan sahaja. (Frank,1998)
  • 28. 2. Apakah yang membuatkan anda yakin bahawa anda telah menjawab soalan Matematik dengan betul?
  • 29. Respons pelajar : 1.Buat pengiraan semula. 2.Cek jawapan dengan guru dan rakan. 3.Melakukan backward solution. 4.Memasukkan nilai Tidak ada pelajar yang telah memberikan respons untuk menyemak semula jawapan mereka sama ada jawapan mereka logik atau pun tidak berdasarkan soalan yang diberi.
  • 30. Satu bas boleh memuatkan sebanyak 36 orang askar. Jika seramai 1128 orang askar perlu menaiki bas ke tempat latihan, berapa banyak bas yang diperlukan? National Assessment of Educational Progress (NAEP), 2007 • 29% menjawab 31 baki 12 • 18% menjawab 31 • 23% menjawab 32 • 30% memberikan jawapan selain daripada di atas. • Pelajar langsung tidak melihat sama ada jawapan yang diberikan logik atau tidak dalam konteks soalan tersebut. (Schoenfeld,1987)
  • 31. Tahap kebimbangan pelajar terhadap Matematik Factors Causing Mathematics Anxiety Among Students (Hasbee Usop, Nur A’ain, Hong Kian Sam et. al, 2011)
  • 32. HUBUNGAN SIKAP, KEBIMBANGAN DAN TABIAT PEMBELAJARAN DENGAN PENCAPAIAN MATEMATIK TAMBAHAN Arsaythamby Veloo & and Shamsuddin Muhammad, 2011 • Dapatan kajian menunjukkan kebimbangan dalam mempelajari matematik merupakan penyumbang terbesar iaitu 10% terhadap pencapaian matematik tambahan.
  • 35. Almost always there is one teacher who stands out in their memory, occasionally as someone whose ridicule or harsh words caused feelings of shame and discomfort, but most often as a teacher fondly remembered for inspiring a love of mathematics through their patience, enthusiasm, and willingness to help students outside of class time. (Merrilyn Goos, 2006) We have the power to engage or alternate students in ways they will remember for the rest of their lives.
  • 36.  Teachers’ behaviours were among the most important factors to enhance student motivation, thus leading students to success. (Doyran, 2000)  It can be firmly concluded from research that teacher behaviour in classrooms is positively related to student achievement. (Creemers, 1994) Pengaruh Guru Terhadap Pelajar
  • 38. Klasifikasi Kualiti Guru Matematik – Pelajar Sekolah Menengah (Berinderjeet Kaur, 2004) Personal Qualities • Patient • Helpful • Hardworking • Responsible • Punctual • Humorous • Confident • Calm/ good tempered • Courteous/ pleasant/ nice • Neat • Cheerful • Enthusiastic • Humble • Serious/dedicated
  • 39. Instruction/ Pedagogy • Explains clearly • Simple and easy exposition • Good in maths/ clever • Teach slowly/ show more examples • Correct pacing • Show working step by step • Systematic planning/ well planned • Not boring/ interesting • Ensures pupils understand • Provides individual help • Good notes/ worksheets • Make maths meaningful/ different approaches • Group work/ discussion/ pupil participation • Stimulate thinking • Experienced
  • 40. Relationship/ Rapport • Strict/ firm • Not fierce/ approachable/ encouraging/ motivating/ friendly • Lenient • Supportive • Fair • Ensures class is attentive • Authoritative • Caring/ kind • Understanding • Listens to pupils • Answers questions • Never gives up hope on pupils
  • 41. Homework Policies/ Expectations • Demanding/ a lot of homework • Moderate homework • Not too much work • Do work in class • Constant review/ reinforcement • Serious with pupils’ work • Checks homework/ goes through homework • Give difficult problems • Regular tests/ assessment • Encourage pupils to do more sums
  • 42. The qualities of caring, skilful and humorous emerged among the top three qualities of all the groups interviewed (high-achieving, medium- achieving and low achieving secondary pupils). (Lim Bee Hean, 1997)