T MTK 1402568 Bibliography
120
References
Akg¨un, L. and ¨Ozdemir, M. E. (2006). Students’ understanding of the variable
as general number and unknown: A case study. The Teaching Of Mathematics,
Vol. IX, 1, pp. 45–51
Almog, N., and Ilany, B.S. (2012). Absolute value inequalities: High school
students’ solutions and misconceptions. Educational Studies in Mathematics, 81,
347-364. http://dx.doi.org/10.1007/s10649-012-9404-z
Brousseau, G. (2007). Theory of Didactical Situations in Mathematics. New
YorkS: Kluwer Academic Publishers
Brumfiel, C. (1980). Teaching the absolute value function.Mathematics Teacher,
73(1), 24–30.
Chiarugi, I., Fracassina, G., and Furinghetti, F. (1990).Learning difficulties behind
the notion of absolute value. Proceedings of the Annual Conference of the
International Group for the Psychology of Mathematics Education, Vol. 3 (pp.
231-238). Oaxtepec, Mexico: CINVESTAV
Ciltas, A.,Tatar, E. (2011). Diagnosing learning difficulties related to the equation
and inequality that contain terms with absolute value. International Online
Journal of Educational Sciences, 3(2)pp 467 – 473 retrieved from
http://www.iojes.net//userfiles/Article/IOJES_431.pdf
Clements, D.H, Battista, M.T (2009). Constructivist Learning and Teaching, in
Putting Research into Practice in the Elementary Grades: National Council of
Teachers of Mathematics
Duroux, A. (1983). La valeurabsolue. Difficultésmajeures pour une notion
mineure. Petit x 3, 43-67. retrieved from : http://www-irem.ujf
grenoble.fr/revues/revue_x/fic/3/3x4.pdf
Ellis, M.W, and Bryson, J.L. (2011).A conceptual approach to absolute value
equations and inequalities. Mathematics Teacher NCTM Vol. 104, no.8 (April
2011) : 592-595
Glorian, P., and Jeanne, M. (1995).The absolute value in secondary school.a case
study of "institutionalisation" process.Proceedings of the Annual Conference of
the International Group for the Psychology of Mathematics Education (19th,
Recife, Brazil, July 22-27, 1995), Volume 2.International Group for the
Psychology of Mathematics Education.
Ade Herdian, 2016
The Development Of Didactical Design On The Topic Of Absolute Value To Build Students’
Strategic Competence, Adaptive Reasoning, And Productive Disposition
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
121
Katranci, Y. and Altun, M. (2013). The process of constructing absolute value
function knowledge for high school students. International Journal on New
Trends in Education and Their Implications October 2013 Volume: 4 Issue: 4
Article: 01 ISSN 1309-6249
Klipatrick, J., Swafford, J., and Findell, B. (2001) Adding it up: Helping children
learn mathematics The National Academies Press
Leikin, R., and Zaslavsky, O. (1999). Cooperative learning in mathematics.The
Mathematics Teacher, Vol. 92, No. 3 (MARCH 1999), pp. 240-246
Neill, H.,Quadling, D.(2002). Advenced level mathematics:Pure mathematics 2
and 3, Cambridge University Press
Niss, M. (2002).Mathematical competencies and the learning of mathematics
Uddanelse.
Pantsidis,C., Zoulinaki, F., Spyrou, P., Gagatsis, A. and Elia, I. (2004).
Understanding of the ordering of numbers and the use of absolute value on the
axis of real number. in A. Gagatsis, F. Spagnolo, Gr. Makrides and V. Farmaki
(eds.), Proceedings of the 4th Mediterranean Conference on Mathematics
Education, Vol. 1, Cyprus Mathematical Society, Palermo, pp. 341-353.
Plomp, T. (2013). Educational design research: An introduction. In: T. Plomp and
N. Nieveen (Eds). Educational Design Research. Enschede: Netherlands Institute
for Curriculum Development –SLO
Ponce, G. A. (2008). Using, seeing, feeling, and doing absolute value for deeper
understanding.Mathematics Teaching in the Middle School.Vol. 14, No. 4, The
National Council of Teachers of Mathematics, Inc. www.nctm.org
Purcell, E.J., and Varberg, D. (1997). Kalkulus dan Geometri Analitis. Erlangga
Jakarta
Radford, L. (2008). Theories in Mathematics Education: A Brief Inquiry into their
Conceptual Differences. Working Paper. Prepared for the ICMI Survey Team 7.
The notion and role of theory in mathematics education research cited from
http://www.luisradford.ca/pub/44_radfordicmist7.pdf
Ruthven, K., Laborde, C., Leach, J., & Tiberghien, A. (2009). Design tools in
didactical research: Instrumenting the epistemological and cognitive aspects of the
design of teaching sequences. Educational Researcher 38(5), 329-342
Scarborough, S.L.(2014). Absolute value misconceptions.Departement of
Mathematics of Texas A&M University. Retrieved from
Ade Herdian, 2016
The Development Of Didactical Design On The Topic Of Absolute Value To Build Students’
Strategic Competence, Adaptive Reasoning, And Productive Disposition
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
122
:http://www.math.tamu.edu/~sherry.scarborough/absolute_value_misconceptions_CA
MT2014.pdf
Sierpinska, A. (2006). Sources of students’ frustration in bridging mathematics
courses.In J. Novotná (Ed.), Proceedings of the 30th Conference of the
International Group for the Psychology of Mathematics Education Vol. 5, pp.
121-128. Prague, Czech Republic: PME
Sierpinska, A. (2007). I need the teacher to tell me if I am right or wrong. In J.-H.
Woo, H.-C. Lew, K.-S.Park and D.-Y.Seo (Eds.), Proceedings of 31st conference
of the International Group for the Psychology of Mathematics Education: PME
31, Seoul, South Korea, July 8–13, 2007 (Vol. 1, pp.45–64). Seoul National
University
Sierpinska, A., Bobos, G., and Pruncut, A. (2011).Teaching absolute value
inequalities to mature students.Educational Studies in Mathematics, 78:275–305.
DOI 10.1007/s10649-011-9325-2
Simon, M.A (1995). Reconstructing mathematics pedagogy from a constructivist
perspective. Journal for Research in Mathematits Education Vol. 26, No. 2, 114145
Suryadi, D (2010).Teori, paradigma, prinsip, dan pendekatan pembelajaran
MIPA dalam konteks Indonesia. FPMIPA & JICA UPI Bandung
Suryadi, D and Turmudi (2011). Kesetaraan didactical design research (DDR)
dengan matematika realistic dalam pengembangan pembelajaran matematika.
Prosiding Seminar Nasional Matematika dan Pendidikan Matematika UNS 2011
Suryadi, D (2013). Didactical design research (DDR) to improve the teaching of
mathematics. Far East Journal of Mathematical Education Vol 10, no.1, p.91-107
National Curriculum Framework (2006).Teaching of Mathematics. Position Paper,
National Focus Group on Teaching of Mathematics, National Council of
Educational Research and Training (NCERT)
Vygotsky, L. (1978) Interaction between learning and development. From : Mind
and Society (pp.79-91). Cambridge, MA: Harvard University Press.
Voskoglou, M.G, and Kosyvas, G.D. (2012). Analyzing students' difficulties in
understanding real numbers. REDIMAT- Journal of Research in Mathematics
Education Vol. 1 No. 3 October 2012 pp. 301-336
Wade, A. (2012). Teaching absolute value meaningfully. Mathematics Teacher
NCTM Vol. 106, No. 3 • October 2012 p : 192-198
Ade Herdian, 2016
The Development Of Didactical Design On The Topic Of Absolute Value To Build Students’
Strategic Competence, Adaptive Reasoning, And Productive Disposition
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
123
Warfield, V. A. (2006). Invitation to didactique. University of Washington
Wilhelmi, M. R, Godino, J.D, and Lacasta, E.(2007). Didactic effectiveness of
mathematical definitions : The case of the absolute value. International Electronic
Journal of Mathematics Education, 2(2). retrieved from: http://www.iejme.com/
Zandy B.V., & White J.J. (2004). CliffsQuickReviewTMKalkulus. Pakar Raya
Pustaka Bandung
Ade Herdian, 2016
The Development Of Didactical Design On The Topic Of Absolute Value To Build Students’
Strategic Competence, Adaptive Reasoning, And Productive Disposition
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
References
Akg¨un, L. and ¨Ozdemir, M. E. (2006). Students’ understanding of the variable
as general number and unknown: A case study. The Teaching Of Mathematics,
Vol. IX, 1, pp. 45–51
Almog, N., and Ilany, B.S. (2012). Absolute value inequalities: High school
students’ solutions and misconceptions. Educational Studies in Mathematics, 81,
347-364. http://dx.doi.org/10.1007/s10649-012-9404-z
Brousseau, G. (2007). Theory of Didactical Situations in Mathematics. New
YorkS: Kluwer Academic Publishers
Brumfiel, C. (1980). Teaching the absolute value function.Mathematics Teacher,
73(1), 24–30.
Chiarugi, I., Fracassina, G., and Furinghetti, F. (1990).Learning difficulties behind
the notion of absolute value. Proceedings of the Annual Conference of the
International Group for the Psychology of Mathematics Education, Vol. 3 (pp.
231-238). Oaxtepec, Mexico: CINVESTAV
Ciltas, A.,Tatar, E. (2011). Diagnosing learning difficulties related to the equation
and inequality that contain terms with absolute value. International Online
Journal of Educational Sciences, 3(2)pp 467 – 473 retrieved from
http://www.iojes.net//userfiles/Article/IOJES_431.pdf
Clements, D.H, Battista, M.T (2009). Constructivist Learning and Teaching, in
Putting Research into Practice in the Elementary Grades: National Council of
Teachers of Mathematics
Duroux, A. (1983). La valeurabsolue. Difficultésmajeures pour une notion
mineure. Petit x 3, 43-67. retrieved from : http://www-irem.ujf
grenoble.fr/revues/revue_x/fic/3/3x4.pdf
Ellis, M.W, and Bryson, J.L. (2011).A conceptual approach to absolute value
equations and inequalities. Mathematics Teacher NCTM Vol. 104, no.8 (April
2011) : 592-595
Glorian, P., and Jeanne, M. (1995).The absolute value in secondary school.a case
study of "institutionalisation" process.Proceedings of the Annual Conference of
the International Group for the Psychology of Mathematics Education (19th,
Recife, Brazil, July 22-27, 1995), Volume 2.International Group for the
Psychology of Mathematics Education.
Ade Herdian, 2016
The Development Of Didactical Design On The Topic Of Absolute Value To Build Students’
Strategic Competence, Adaptive Reasoning, And Productive Disposition
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
121
Katranci, Y. and Altun, M. (2013). The process of constructing absolute value
function knowledge for high school students. International Journal on New
Trends in Education and Their Implications October 2013 Volume: 4 Issue: 4
Article: 01 ISSN 1309-6249
Klipatrick, J., Swafford, J., and Findell, B. (2001) Adding it up: Helping children
learn mathematics The National Academies Press
Leikin, R., and Zaslavsky, O. (1999). Cooperative learning in mathematics.The
Mathematics Teacher, Vol. 92, No. 3 (MARCH 1999), pp. 240-246
Neill, H.,Quadling, D.(2002). Advenced level mathematics:Pure mathematics 2
and 3, Cambridge University Press
Niss, M. (2002).Mathematical competencies and the learning of mathematics
Uddanelse.
Pantsidis,C., Zoulinaki, F., Spyrou, P., Gagatsis, A. and Elia, I. (2004).
Understanding of the ordering of numbers and the use of absolute value on the
axis of real number. in A. Gagatsis, F. Spagnolo, Gr. Makrides and V. Farmaki
(eds.), Proceedings of the 4th Mediterranean Conference on Mathematics
Education, Vol. 1, Cyprus Mathematical Society, Palermo, pp. 341-353.
Plomp, T. (2013). Educational design research: An introduction. In: T. Plomp and
N. Nieveen (Eds). Educational Design Research. Enschede: Netherlands Institute
for Curriculum Development –SLO
Ponce, G. A. (2008). Using, seeing, feeling, and doing absolute value for deeper
understanding.Mathematics Teaching in the Middle School.Vol. 14, No. 4, The
National Council of Teachers of Mathematics, Inc. www.nctm.org
Purcell, E.J., and Varberg, D. (1997). Kalkulus dan Geometri Analitis. Erlangga
Jakarta
Radford, L. (2008). Theories in Mathematics Education: A Brief Inquiry into their
Conceptual Differences. Working Paper. Prepared for the ICMI Survey Team 7.
The notion and role of theory in mathematics education research cited from
http://www.luisradford.ca/pub/44_radfordicmist7.pdf
Ruthven, K., Laborde, C., Leach, J., & Tiberghien, A. (2009). Design tools in
didactical research: Instrumenting the epistemological and cognitive aspects of the
design of teaching sequences. Educational Researcher 38(5), 329-342
Scarborough, S.L.(2014). Absolute value misconceptions.Departement of
Mathematics of Texas A&M University. Retrieved from
Ade Herdian, 2016
The Development Of Didactical Design On The Topic Of Absolute Value To Build Students’
Strategic Competence, Adaptive Reasoning, And Productive Disposition
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
122
:http://www.math.tamu.edu/~sherry.scarborough/absolute_value_misconceptions_CA
MT2014.pdf
Sierpinska, A. (2006). Sources of students’ frustration in bridging mathematics
courses.In J. Novotná (Ed.), Proceedings of the 30th Conference of the
International Group for the Psychology of Mathematics Education Vol. 5, pp.
121-128. Prague, Czech Republic: PME
Sierpinska, A. (2007). I need the teacher to tell me if I am right or wrong. In J.-H.
Woo, H.-C. Lew, K.-S.Park and D.-Y.Seo (Eds.), Proceedings of 31st conference
of the International Group for the Psychology of Mathematics Education: PME
31, Seoul, South Korea, July 8–13, 2007 (Vol. 1, pp.45–64). Seoul National
University
Sierpinska, A., Bobos, G., and Pruncut, A. (2011).Teaching absolute value
inequalities to mature students.Educational Studies in Mathematics, 78:275–305.
DOI 10.1007/s10649-011-9325-2
Simon, M.A (1995). Reconstructing mathematics pedagogy from a constructivist
perspective. Journal for Research in Mathematits Education Vol. 26, No. 2, 114145
Suryadi, D (2010).Teori, paradigma, prinsip, dan pendekatan pembelajaran
MIPA dalam konteks Indonesia. FPMIPA & JICA UPI Bandung
Suryadi, D and Turmudi (2011). Kesetaraan didactical design research (DDR)
dengan matematika realistic dalam pengembangan pembelajaran matematika.
Prosiding Seminar Nasional Matematika dan Pendidikan Matematika UNS 2011
Suryadi, D (2013). Didactical design research (DDR) to improve the teaching of
mathematics. Far East Journal of Mathematical Education Vol 10, no.1, p.91-107
National Curriculum Framework (2006).Teaching of Mathematics. Position Paper,
National Focus Group on Teaching of Mathematics, National Council of
Educational Research and Training (NCERT)
Vygotsky, L. (1978) Interaction between learning and development. From : Mind
and Society (pp.79-91). Cambridge, MA: Harvard University Press.
Voskoglou, M.G, and Kosyvas, G.D. (2012). Analyzing students' difficulties in
understanding real numbers. REDIMAT- Journal of Research in Mathematics
Education Vol. 1 No. 3 October 2012 pp. 301-336
Wade, A. (2012). Teaching absolute value meaningfully. Mathematics Teacher
NCTM Vol. 106, No. 3 • October 2012 p : 192-198
Ade Herdian, 2016
The Development Of Didactical Design On The Topic Of Absolute Value To Build Students’
Strategic Competence, Adaptive Reasoning, And Productive Disposition
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
123
Warfield, V. A. (2006). Invitation to didactique. University of Washington
Wilhelmi, M. R, Godino, J.D, and Lacasta, E.(2007). Didactic effectiveness of
mathematical definitions : The case of the absolute value. International Electronic
Journal of Mathematics Education, 2(2). retrieved from: http://www.iejme.com/
Zandy B.V., & White J.J. (2004). CliffsQuickReviewTMKalkulus. Pakar Raya
Pustaka Bandung
Ade Herdian, 2016
The Development Of Didactical Design On The Topic Of Absolute Value To Build Students’
Strategic Competence, Adaptive Reasoning, And Productive Disposition
Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu