Silabus S1 Strategi Pembelajaran Matemat. doc
UNIVERSITAS NEGERI YOGYAKARTA
FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM
SILABUS MATA KULIAH
Berbasis KKNI
Nama Mata Kuliah
Kode Mata Kuliah
SKS
Dosen
Prasyarat
Waktu Perkuliahan
:
:
:
:
:
:
Strategi Pembelajaran Matematika
3 sks
Prof. Dr. Marsigit, M.A.
2 x 100 menit (200 menit)
A. Deskripsi Mata Kuliah
Dalam mata kuliah ini dibahas pengantar ke filsafat matematika, filsafat pendidikan
matematika, filsafat pembelajaran matematika, hakikat matematika dan matematika
sekolah, teori dan paradigma pembelajaran matematika, strategi pembelajaran
matematika, model-model pembelajaran matematika, mathematical thinking, teori
belajar matematika, metode matematika, sikap matematika, higher order thinking,
kompetensi guru matematika dalam kaitan dengan Kurikulum 2013, pendekatan
konstruktivisme,
pendekatan
kontekstual,
pendekatan
realistik,
serta
menyimulasikan berbagai model-model pembelajaran matematika.
B.
Standar Kompetensi
Menguasai dan mampu mengaplikasikan teori-teori, pendekatan, strategi dan model
pembelajaran matematika berdasar kajian filsafat matematika, filsafat pendidikan
matematika, filsafat pembelajaran matematika, hakekat matematika, hakekat
matematika sekolah, mathematical thinking dan learning trajectory; dapat
menyimulasikan berbagai model-model pembelajaran matematika; dan bertanggung
jawab baik secara sendiri maupun bersama-sama untuk memersiapkan diri menjadi
calon guru matematika yang kompeten dan profesional.
C. Rencana Kegiatan
Pertem
Kompetensi Dasar
uan ke1-3
Menjelaskan filosofi
pembelajaran
matematika dan teoriteori belajar
matematika
4-6
Menjelaskan hakikat
matematika dan
Materi Pokok
Pengantar ke
Filsafat Matematika,
Filsafat Pendidikan
Matematika dan
Filsafat
Pembelajaran
matematika
Hakikat
Matematika :
Strategi
Perkuliahan
Diskusi &
presentasi
Refer
ensi
10,
11, 12
Diskusi &
presentasi
12
matematika sekolah
7-8
9-10
11-13
14-18
19-20
21
22
23
24
25
26
Matematika Formal,
Matematika Intuitif,
Matematika Sekolah,
dan Metode
Matematika
Menjelaskan Teori dan Teori dan Paradigma
Paradigma
Pembelajaran
Pembelajaran
Matematika
Matematika
Menjelaskan Strategi
Strategi
Pembelajaran
Pembelajaran
Matematika
Matematika
Menjelaskan ModelModel-model
model Pembelajaran
Pembelajaran
Matematika
Matematika
Menjelaskan Learning Learning Trajectory
Trajectory
Matematika, Teori
Matematika, Teori
Belajar Matematika,
Belajar Matematika,
Mathematical
Mathematical
Attitude, Karakter
Attitude, Karakter
Siswa dan High
Siswa dan High Order Order Thinking
Thinking
Menjelaskan
Kompetensi Guru
Kompetensi Guru
Matematika (Lesson
Matematika (Lesson
Study , Kurikulum
Study , Kurikulum
2013)
2013)
Menjelaskan
Pendekatan
Diskusi &
presentasi
Pendekatan
Konstruktivisme
Konstruktivisme
dalam Pembelajaran
dalam Pembelajaran
matematika
matematika
Menjelaskan
Pendekatan Realistic Diskusi &
Pembelajaran
Mathematics
presentasi
Matematika Realistik Education (RME)
(Realistic
dalam Pembelajaran
Mathematics
Matematika
Education/RME)
Ujian Tengah Semester
Menyimulasikan
Simulasi Pendekatan
Pendekatan Saintifik
Saintifik dalam
dalam Pembelajaran
Pembelajaran
Matematika
Matematika
Menyimulasikan
Simulasi
Diskusi &
Pembelajaran
Pembelajaran
presentasi
kooperatif
kooperatif
Menyimulasikan
Simulasi
Diskusi &
14,
15,
16, 17
9, 12
1, 3,
6, 10,
12, 13
6, 12
27
28
29
30
31
32
Pembelajaran
kontekstual
Menyimulasikan
Pembelajaran
penemuan (Discovery
Learning)
Pembelajaran
kontekstual
Simulasi
Pembelajaran
penemuan
(Discovery
Learning)
Menyimulasikan
Simulasi
Pembelajaran Berbasis Pembelajaran
Masalah (ProblemBerbasis Masalah
Based Learning)
(Problem-Based
Learning)
Menyimulasikan
Simulasi
Pembelajaran Berbasis Pembelajaran
Proyek (ProjectBerbasis Proyek
Based Learning)
(Project-Based
Learning)
Menyimulasikan
Simulasi
Pembelajaran dengan Pembelajaran
pendekatan opendengan pendekatan
ended
open-ended
Menjelaskan
Pengembangan
pengembangan
perangkat
perangkat
pembelajaran
pembelajaran
matematika berbasis
matematika dengan
Kurikulum 2013
strategi/metode/pende
katan tertentu
Ujian Semester
Presentasi
Diskusi &
presentasi
12
Diskusi &
presentasi
4, 6,
12, 13
Diskusi &
Presentasi
7
Diskusi &
presentasi
2, 12
Diskusi &
presentasi
12
D. Referensi
Wajib
Daftar Literatur/Referensi:
1. Ernest, P., 1994, Mathematics, Education and Philosophy: An International
Perspective.
The Falmer Press: London.
2. Stacey, K. & Groves, S. (1985) Strategies for Problem Solving. Lesson Plans for
Developing Mathematical Thinking. Melbourne: Objective Learning Materials.
3. Piaget, J. & Inhelder, B. (1958). Growth of logical thinking, London: Routledge
& Kegan Paul.
4. Van Hiele, P. M. (1986). Structure and Insight. Orlando: Academic Press.
5. Freudenthal, H. (1991). Revising mathematics education: China lectures.
Kluwer, Dordrecht.
6. Kilpatrick, J., Swafford, J, and Findell, B. (2001). Adding it up: Helping
children learn matheamtics. National Research Council.
7. Polya ,G.(1962). Mathematical discovery: On understanding, learning and
teaching problem solving. Combined edition, Wiley, New York.
8. Vygotsky, L.S. (1986). Thought and language. Massachusetts Institute of
Technology.
9. OECD (2000): The PISA 2000 Assessment Framework: Mathematics, reading,
science and problem solving knowledge and skills. Paris: OECD.
10. Schoenfeld, A. H. (1992). Learning to Thinking Mathematically: Problem
Solving, Metacognition and Sense−Making in Mathematics. In D. Grouws (Ed),
Handbook of Research on Mathematics Teaching and Learning, pp.334 − 370,
New York: MacMillan
Literatur tambahan
1. Polya, G. (1957). How to solve it. New York: Doubleday & Company, Inc.
2. Cockcroft, W.H. (Ed.) (1982). Mathematics Counts. Report of the Committee of
Inquiry into the Teaching of Mathematics in Schools, London: Her Majesty's
Stationery Office Katagiri, S., (2006). Mathematical Thinking and How to Teach
it. Paper presented at the APEC-Tsukuba International Conference on Innovative
Teaching of Mathematics through Lesson Study. Sapporo, Japan.
3. Freudenthal, H. (1991). Revisiting Mathematics Education. China Lectures.
Dordrecht: Kluwer Academic Publishers.
4. Gravemeijer, K.P.E. (1994). Developing Realistic Mathematics Education.
Utrecht: CD-ß
5. Isoda, M. (2006). First Announcement : APEC-Tsukuba International
Conference on Innovative Teaching Mathematics Through Lesson Study (II) –
Focussing on Mathematical Thinking- December 2-7, 2006, Tokyo & Sapporo,
Japan
6. Lange, J. de (2006). Mathematical Literacy for Living From OECD-PISA
Perspective, Tokyo: Simposium on International Cooperation
7. Freudenthal, H. (1991). Revisiting Mathematics Education. China Lectures.
Dordrecht: Kluwer Academic Publishers.
8. Gravemeijer, K.P.E. (1994). Developing Realistic Mathematics Education.
Utrecht: CD-ß
9. Isoda, M. (2006). First Announcement : APEC-Tsukuba International
Conference onInnovative Teaching Mathematics Through Lesson Study (II) –
Focussing on Mathematical Thinking- December 2-7, 2006, Tokyo & Sapporo,
Japan
10. Lange, J. de (2006). Mathematical Literacy for Living From OECD-PISA
Perspective, Tokyo: Simposium on International Cooperation
11. Freudenthal, H. (1991). Revisiting Mathematics Education. China Lectures.
Dordrecht: Kluwer Academic Publishers.
12. Organization for Economic Co-operation and Development. (2004). Learning
for tomorrow’s world: First results from PISA 2003.
http://www.pisa.oecd.org/dataoecd/1/60/34002216.pdf.
13. Organization for Economic Co-operation and Development. (2004). Learning
for tomorrow’s world: First results from PISA 2003.
http://www.pisa.oecd.org/dataoecd/1/60/34002216.pdf.
14. National Council of Teachers of Mathematics. (2000). Principles and standards
for school mathematics K – 12. Virginia: Author.
15. Lewis, C. (2002). Lesson Study: A handbook of teacher-led instructional
change. Research for Better Schools, Philadelphia, PA.
16. Lewis, C. (2002). Lesson Study: A handbook of teacher-led instructional
change. Research for Better Schools, Philadelphia, PA.
17. Nohda, N. (1984). 'The Heart of the 'Open-Approach' in Mathematics Teaching'.
in T. Kawaguchi (Ed.), Proceedings of the ICTM-JSME regional Conference on
Mathematics Education. Tokyo.
18. Paul Cobb(1996). Constructivist, Emergent, and Socio Cultural Perspectives in
the Context of Developmental Research, Proceedings of the Seventeenth Annual
Meeting, North American Chapter of the International Group for the Psychology
of Mathematics Education(Vol.31,No.3&4, pp.3-29)
19. Mason, J., Burton, L. & Stacey, K. (1982). Thinking Mathematically. London:
Pearson.
20. National Council of Teachers of Mathematics. (2006). NCTM standards: An
overview
Retrieved
November
14,
2006,
from
http://www.nctm.org/standards/principles.htm
21. Artzt, A., Newman, C.(2006). How to use Cooperative Learning in the
Mathematics Class. NCTM.
22. Conway, P. & Sloane, F. (2005).International Trends in Post-Primary
Mathematics Education. NCCA Research Report No.5
[Note full text available free online]
23. Math Reference Sheet, http://www.pinterest.com/explore/math-reference-sheet/
24. Wegner, P., 2004, “Modeling, Formalization, and Intuition.” Department of
Computer Science.
25. Wilder,R.L., 1952, Introduction to the Foundation of Mathematics, New York
Tambahan
1.
Permendikbud No. 54 tentang Standar Kompetensi Lulusan (SKL)
2.
Permendikbud No. 54 tentang Standar Proses
3.
Permendikbud No. 66 tentang Standar Penilaian
4.
Permendikbud No. 67 tentang Isi atau Struktur Kurikulum dan
Kompetensi Dasar
E.
Evaluasi Hasil Belajar
No
1
2
3
4
Komponen
Partisipasi Kuliah
Tugas-tugas
Ujian Tengah Semester
Ujian Semester
Jumlah
Bobot (%)
40 %
40%
10 %
10 %
100 %
Mengetahui
Ketua Prodi
Yogyakarta, Agustus 2014
Dosen Pengampu Mata Kuliah
Dr.Sugiman
NIP. 196502281991011001
Prof. Dr. Marsigit, M.A.
NIP. 195707191983031004
FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM
SILABUS MATA KULIAH
Berbasis KKNI
Nama Mata Kuliah
Kode Mata Kuliah
SKS
Dosen
Prasyarat
Waktu Perkuliahan
:
:
:
:
:
:
Strategi Pembelajaran Matematika
3 sks
Prof. Dr. Marsigit, M.A.
2 x 100 menit (200 menit)
A. Deskripsi Mata Kuliah
Dalam mata kuliah ini dibahas pengantar ke filsafat matematika, filsafat pendidikan
matematika, filsafat pembelajaran matematika, hakikat matematika dan matematika
sekolah, teori dan paradigma pembelajaran matematika, strategi pembelajaran
matematika, model-model pembelajaran matematika, mathematical thinking, teori
belajar matematika, metode matematika, sikap matematika, higher order thinking,
kompetensi guru matematika dalam kaitan dengan Kurikulum 2013, pendekatan
konstruktivisme,
pendekatan
kontekstual,
pendekatan
realistik,
serta
menyimulasikan berbagai model-model pembelajaran matematika.
B.
Standar Kompetensi
Menguasai dan mampu mengaplikasikan teori-teori, pendekatan, strategi dan model
pembelajaran matematika berdasar kajian filsafat matematika, filsafat pendidikan
matematika, filsafat pembelajaran matematika, hakekat matematika, hakekat
matematika sekolah, mathematical thinking dan learning trajectory; dapat
menyimulasikan berbagai model-model pembelajaran matematika; dan bertanggung
jawab baik secara sendiri maupun bersama-sama untuk memersiapkan diri menjadi
calon guru matematika yang kompeten dan profesional.
C. Rencana Kegiatan
Pertem
Kompetensi Dasar
uan ke1-3
Menjelaskan filosofi
pembelajaran
matematika dan teoriteori belajar
matematika
4-6
Menjelaskan hakikat
matematika dan
Materi Pokok
Pengantar ke
Filsafat Matematika,
Filsafat Pendidikan
Matematika dan
Filsafat
Pembelajaran
matematika
Hakikat
Matematika :
Strategi
Perkuliahan
Diskusi &
presentasi
Refer
ensi
10,
11, 12
Diskusi &
presentasi
12
matematika sekolah
7-8
9-10
11-13
14-18
19-20
21
22
23
24
25
26
Matematika Formal,
Matematika Intuitif,
Matematika Sekolah,
dan Metode
Matematika
Menjelaskan Teori dan Teori dan Paradigma
Paradigma
Pembelajaran
Pembelajaran
Matematika
Matematika
Menjelaskan Strategi
Strategi
Pembelajaran
Pembelajaran
Matematika
Matematika
Menjelaskan ModelModel-model
model Pembelajaran
Pembelajaran
Matematika
Matematika
Menjelaskan Learning Learning Trajectory
Trajectory
Matematika, Teori
Matematika, Teori
Belajar Matematika,
Belajar Matematika,
Mathematical
Mathematical
Attitude, Karakter
Attitude, Karakter
Siswa dan High
Siswa dan High Order Order Thinking
Thinking
Menjelaskan
Kompetensi Guru
Kompetensi Guru
Matematika (Lesson
Matematika (Lesson
Study , Kurikulum
Study , Kurikulum
2013)
2013)
Menjelaskan
Pendekatan
Diskusi &
presentasi
Pendekatan
Konstruktivisme
Konstruktivisme
dalam Pembelajaran
dalam Pembelajaran
matematika
matematika
Menjelaskan
Pendekatan Realistic Diskusi &
Pembelajaran
Mathematics
presentasi
Matematika Realistik Education (RME)
(Realistic
dalam Pembelajaran
Mathematics
Matematika
Education/RME)
Ujian Tengah Semester
Menyimulasikan
Simulasi Pendekatan
Pendekatan Saintifik
Saintifik dalam
dalam Pembelajaran
Pembelajaran
Matematika
Matematika
Menyimulasikan
Simulasi
Diskusi &
Pembelajaran
Pembelajaran
presentasi
kooperatif
kooperatif
Menyimulasikan
Simulasi
Diskusi &
14,
15,
16, 17
9, 12
1, 3,
6, 10,
12, 13
6, 12
27
28
29
30
31
32
Pembelajaran
kontekstual
Menyimulasikan
Pembelajaran
penemuan (Discovery
Learning)
Pembelajaran
kontekstual
Simulasi
Pembelajaran
penemuan
(Discovery
Learning)
Menyimulasikan
Simulasi
Pembelajaran Berbasis Pembelajaran
Masalah (ProblemBerbasis Masalah
Based Learning)
(Problem-Based
Learning)
Menyimulasikan
Simulasi
Pembelajaran Berbasis Pembelajaran
Proyek (ProjectBerbasis Proyek
Based Learning)
(Project-Based
Learning)
Menyimulasikan
Simulasi
Pembelajaran dengan Pembelajaran
pendekatan opendengan pendekatan
ended
open-ended
Menjelaskan
Pengembangan
pengembangan
perangkat
perangkat
pembelajaran
pembelajaran
matematika berbasis
matematika dengan
Kurikulum 2013
strategi/metode/pende
katan tertentu
Ujian Semester
Presentasi
Diskusi &
presentasi
12
Diskusi &
presentasi
4, 6,
12, 13
Diskusi &
Presentasi
7
Diskusi &
presentasi
2, 12
Diskusi &
presentasi
12
D. Referensi
Wajib
Daftar Literatur/Referensi:
1. Ernest, P., 1994, Mathematics, Education and Philosophy: An International
Perspective.
The Falmer Press: London.
2. Stacey, K. & Groves, S. (1985) Strategies for Problem Solving. Lesson Plans for
Developing Mathematical Thinking. Melbourne: Objective Learning Materials.
3. Piaget, J. & Inhelder, B. (1958). Growth of logical thinking, London: Routledge
& Kegan Paul.
4. Van Hiele, P. M. (1986). Structure and Insight. Orlando: Academic Press.
5. Freudenthal, H. (1991). Revising mathematics education: China lectures.
Kluwer, Dordrecht.
6. Kilpatrick, J., Swafford, J, and Findell, B. (2001). Adding it up: Helping
children learn matheamtics. National Research Council.
7. Polya ,G.(1962). Mathematical discovery: On understanding, learning and
teaching problem solving. Combined edition, Wiley, New York.
8. Vygotsky, L.S. (1986). Thought and language. Massachusetts Institute of
Technology.
9. OECD (2000): The PISA 2000 Assessment Framework: Mathematics, reading,
science and problem solving knowledge and skills. Paris: OECD.
10. Schoenfeld, A. H. (1992). Learning to Thinking Mathematically: Problem
Solving, Metacognition and Sense−Making in Mathematics. In D. Grouws (Ed),
Handbook of Research on Mathematics Teaching and Learning, pp.334 − 370,
New York: MacMillan
Literatur tambahan
1. Polya, G. (1957). How to solve it. New York: Doubleday & Company, Inc.
2. Cockcroft, W.H. (Ed.) (1982). Mathematics Counts. Report of the Committee of
Inquiry into the Teaching of Mathematics in Schools, London: Her Majesty's
Stationery Office Katagiri, S., (2006). Mathematical Thinking and How to Teach
it. Paper presented at the APEC-Tsukuba International Conference on Innovative
Teaching of Mathematics through Lesson Study. Sapporo, Japan.
3. Freudenthal, H. (1991). Revisiting Mathematics Education. China Lectures.
Dordrecht: Kluwer Academic Publishers.
4. Gravemeijer, K.P.E. (1994). Developing Realistic Mathematics Education.
Utrecht: CD-ß
5. Isoda, M. (2006). First Announcement : APEC-Tsukuba International
Conference on Innovative Teaching Mathematics Through Lesson Study (II) –
Focussing on Mathematical Thinking- December 2-7, 2006, Tokyo & Sapporo,
Japan
6. Lange, J. de (2006). Mathematical Literacy for Living From OECD-PISA
Perspective, Tokyo: Simposium on International Cooperation
7. Freudenthal, H. (1991). Revisiting Mathematics Education. China Lectures.
Dordrecht: Kluwer Academic Publishers.
8. Gravemeijer, K.P.E. (1994). Developing Realistic Mathematics Education.
Utrecht: CD-ß
9. Isoda, M. (2006). First Announcement : APEC-Tsukuba International
Conference onInnovative Teaching Mathematics Through Lesson Study (II) –
Focussing on Mathematical Thinking- December 2-7, 2006, Tokyo & Sapporo,
Japan
10. Lange, J. de (2006). Mathematical Literacy for Living From OECD-PISA
Perspective, Tokyo: Simposium on International Cooperation
11. Freudenthal, H. (1991). Revisiting Mathematics Education. China Lectures.
Dordrecht: Kluwer Academic Publishers.
12. Organization for Economic Co-operation and Development. (2004). Learning
for tomorrow’s world: First results from PISA 2003.
http://www.pisa.oecd.org/dataoecd/1/60/34002216.pdf.
13. Organization for Economic Co-operation and Development. (2004). Learning
for tomorrow’s world: First results from PISA 2003.
http://www.pisa.oecd.org/dataoecd/1/60/34002216.pdf.
14. National Council of Teachers of Mathematics. (2000). Principles and standards
for school mathematics K – 12. Virginia: Author.
15. Lewis, C. (2002). Lesson Study: A handbook of teacher-led instructional
change. Research for Better Schools, Philadelphia, PA.
16. Lewis, C. (2002). Lesson Study: A handbook of teacher-led instructional
change. Research for Better Schools, Philadelphia, PA.
17. Nohda, N. (1984). 'The Heart of the 'Open-Approach' in Mathematics Teaching'.
in T. Kawaguchi (Ed.), Proceedings of the ICTM-JSME regional Conference on
Mathematics Education. Tokyo.
18. Paul Cobb(1996). Constructivist, Emergent, and Socio Cultural Perspectives in
the Context of Developmental Research, Proceedings of the Seventeenth Annual
Meeting, North American Chapter of the International Group for the Psychology
of Mathematics Education(Vol.31,No.3&4, pp.3-29)
19. Mason, J., Burton, L. & Stacey, K. (1982). Thinking Mathematically. London:
Pearson.
20. National Council of Teachers of Mathematics. (2006). NCTM standards: An
overview
Retrieved
November
14,
2006,
from
http://www.nctm.org/standards/principles.htm
21. Artzt, A., Newman, C.(2006). How to use Cooperative Learning in the
Mathematics Class. NCTM.
22. Conway, P. & Sloane, F. (2005).International Trends in Post-Primary
Mathematics Education. NCCA Research Report No.5
[Note full text available free online]
23. Math Reference Sheet, http://www.pinterest.com/explore/math-reference-sheet/
24. Wegner, P., 2004, “Modeling, Formalization, and Intuition.” Department of
Computer Science.
25. Wilder,R.L., 1952, Introduction to the Foundation of Mathematics, New York
Tambahan
1.
Permendikbud No. 54 tentang Standar Kompetensi Lulusan (SKL)
2.
Permendikbud No. 54 tentang Standar Proses
3.
Permendikbud No. 66 tentang Standar Penilaian
4.
Permendikbud No. 67 tentang Isi atau Struktur Kurikulum dan
Kompetensi Dasar
E.
Evaluasi Hasil Belajar
No
1
2
3
4
Komponen
Partisipasi Kuliah
Tugas-tugas
Ujian Tengah Semester
Ujian Semester
Jumlah
Bobot (%)
40 %
40%
10 %
10 %
100 %
Mengetahui
Ketua Prodi
Yogyakarta, Agustus 2014
Dosen Pengampu Mata Kuliah
Dr.Sugiman
NIP. 196502281991011001
Prof. Dr. Marsigit, M.A.
NIP. 195707191983031004