DAFTAR PUSTAKA Afolabi, M.O; Donne, S.; & Lewis III. H ...

Nana Sumarna, 2016 PENINGKATAN KEMAMPUAN PEMAHAMAN MATEMATIS, BERPIKIR KRITIS, KREATIF DAN PENALARAN MATEMATIS PADA MAHASISWA CALON GURU SEKOLAH DASAR MELALUI PENDEKATAN PEMBELAJARAN INVESTIGASI MATEMATIK Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu

DAFTAR PUSTAKA

Afolabi, M.O; Donne, S.; & Lewis III. H (2006). Are we there yet? A Review of

Creativity Methodologies. Paper presented to the St. Lawrence Section

Conference. Cornell Universiti. [on line] : http://www.cs.cornell.edu

/conferences/asee2006/ASEE%20Papers/Session%204/ASEE%20Final%

20vs%203_Afolabi.pdf

Agbulu, O.N & Idu, E.E . 2008. The Impact of Participatory and Expository

Approaches on Learning of Agricultural Science in Senior Secondary

Schools in Benue State. Journal of Social Science. 16 (3), 245-249

Akinbobola, A.O & Afolabi, F., (2009). Constructivist Practices Through Guided

Discovery Approach: The Effect On Students’ Cognitive Achievements In

Nigerian Senior Secondary School Physics. Bulgarian Journal of Science

and Education Policy. 3 (2). 233-252

Allen, K., Kwon, O. N. & Rasmussen, C. (2005). Students retention of

mathematical knowledge and skills in differential equations. School

Science and Mathematics. 105, (5), 227-239.

Amarto, S. A. and Watson, A. (2003). Improving student teachers' understanding

of multiplication by two digit numbers. In N. A. Pateman, B.J. Dougherty,

& J. Zilliox (Eds.). Proceedings of the 27th Conference of the

International Group for the Psychology of Mathematics Education and the

25th Conference of PME-NA. Honolulu, HI: PME

Anandy, S. B. ; Rackley, A.; Keebler, M.; Zientz, J.; & Hart Jr.. J. (2011). Gist

reasoning training in cognitively normal seniors. International Journal of

Geriatric Psychiatry. 26, (2011), 961–968.

Angeles , P.A . (1981). Dictionary of Philosophy. New York: Barnes & Noble

Arici, E & Aslan-Tutak, F. (2013). The Effect Of Origami-Based Instruction On

Spatial Visualization, Geometry Achievement, And Geometric Reasoning.

International Journal of Science and Mathematics Education. 13, (2013),

179-200.

Aslan-Tutak, F & Adams, T. L. (2015). A Study of Geometry Content Knowledge

of Elementary Preservice Teachers. International Electronic Journal of

Elementary Education. 7, (3), 301-318.

Bailey, J. (2007). Mathematical Investigations: A Primary Teacher Educator’s

Narrative Journey of Professional Awareness. Dalam J. Watson & K.

Beswick (Eds). Proceedings of the 30th annual conference of the

http://www.cs.cornell.edu/

332


Mathematics Education Research Group of Australasia. Waikato : Merga

Inc.

Ball, D. L. & Bass, H. (2003). Making Mathematics reasonable in schoool. In. J.

Kilpatrick, W.G. Martin & D. Schifter (Eds): A Resarch Companion to

Principals and Standard For School Mathematics. (PP: 27-44). Reston,

VA: National councils Of Teachers Mathematics.

Ball, D. L., Hill, H. C., & Bass, H. (2005). Knowing mathematics for teaching: Who

knows mathematics well enough to teach third grade and how can we

decide? American Educator, Fall, 14-46.

Baroody, A. J. (with Coslick, R. T.). (1998). Fostering children's mathematical

power: An investigative approach to K-8 Mathematics Instruction.

Mahwah, NJ: Lawrence Erlbaum.

Baroody, A.; Feil, Y., & Johnson, A. (2007). An alternative reconceptualization of

procedural and conceptual knowledge. Journal for Research in

Mathematics Education. 38, (2), 115–131.

Bartell, T.G., Webel, C., Bowen, B. & Dyson, N. (2013). Prospective teacher

learning: recognizing evidence of conceptual understanding. Journal of

Mathematics Teacher Education, 16, 57-79.

Bassarear, T. (2008). Mathematics for elementary School Teachers. Belmont,

USA: Brooks/Cole Cengage Learning.

Bastow, B. Hughes, J. Kissane, B. & Randall, R. (1986). Another 20 Mathematical

Investigational Work. Perth: The Mathematical Association of Western

Australia (MAWA).

Baturo, A., & Nason, R. (1996). Student teachers subject matter knowledge within

the domain of area measurement. Educational Studies in Mathematics. 31,

(3), 235-268.

Beghetto, R. A. (2013). Killing ideas softly? The promise and perils of creativity in

the classroom. Charlotte, NC: Information Age Publishing, Inc.

Bensley, D.A. & Spero, R.A. (2014). Improving critical thinking skills and

metacognitive monitoring through direct infusion. Thinking Skills and

Creativity . 12, (2014), 55–68.

Bensley, D.A.; Crowe, D.S.; Bernhardt, P. ; Buckner, C.; & Allman, A.L. (2010).

Teaching and assessing critical thinking skills for argument analysis in

psychology. Journal Teaching Of Psychology. 30 (2), 91-96.

333


Beyer, B. K. (1984). Improving thinking skills-defining the problem. Phi Delta

Kappan, 65, 486–490.

Bialik, M & Kabbach, A. (2014). Does Mathematics education enhance Higher

Order Thinking Skills? [on line]. http://www.curriculumredesign.org/

Billstein, R; Libeskind, S; & Lott, J.W. (2003). A Problem Solving Approach to

Matematics For Elementary School Tachers. California: Addison-Wesley

Publishing Company.

BNSP (2006). Standar Kompetensi dan Kompetensi Dasar Tingkat SD, MI, dan

SLBSD. Jakarta : BSNP.

Boesen, J., Lithner, J. & Palm, T. (2010). The relation between types of assessment

tasks and the mathematical reasoning students use. Educational Studies in

Mathematics. 75, (1), 89–105.

Bokosmaty, S.; Sweller, J.; & Kalyuga, S. (2014). Learning Geometry Problem

Solving by Studying Worked Examples: Effects of Learner Guidance and

Expertise. American Educational Research Journal. 20, (1), 1–27

Bonotto, C. (2013). Artifacts as sources for problem-posing activities. Educational

Studies in Mathematics. 83, 37–55.

Booth, J. L.; Lange, K. E.; Koedinger, K. R.; & Newton, K. J. (2013). Using

example problems to improve student learning in algebra: Differentiating

between correct and incorrect examples. Learning and Instruction. 25, 24-

34.

Bosse, M.J & Bahr, D.L (2008). The State of Balance Between Procedural

Knowledge and Conceptual Understanding in Mathematics Teacher

Education. [on line]. http://www.cimt.plymouth.ac.uk/journal/bossebahr.

Brookhart, S.M., (2010). How to asses higher-order thinking skills in your

classroom. Alexandria, Virginia (USA): ASCD publication.

Brown, T.; McNamara, O.; Hanley,U.; & Jones, L.;. (1999). Primary student

teachers’ understanding of mathematics and its teaching. British

Educational Research Journal. 25, (3), 299-322.

Browning, C; Edson, A.j.; Kimani P.; & Aslan-Tutak, F. (2014). Mathematical

Content Knowledge for Teaching Elementary Mathematics: A Focus on

Geometry and Measurement. The Mathematics Enthusiast, 11, (2), 333–

384.

Campbell, D. T., & Stanley, J. C. (2015). Experimental and quasi-experimental

designs for research. Ravenio Books.

http://www.curriculumredesign.org/

http://www.cimt.plymouth.ac.uk/journal/bossebahr

334


Campos, D.G. (2010). Peirce’s Philosophy of Mathematical Education: Fostering

Reasoning Abilities for Mathematical Inquiry. Studies in Philosophy and

Education. 29, (2010), 421–439.

Canobi, K. H.; Reeve, R. A.; & Pattison, P. E. (2003). Patterns of knowledge in

children’s addition. Developmental Psychology. 39, 521–534.

Carson, C. (2011). The effective use of effect size indices in institutional research.

[on line]. http://rlrw.bnu.edu.cn/uploads/ 2011420132315861.pdf

Chamberlin, S. A. (2010). Mathematical problems that optimize learning for

academically advanced students in grades K-6. Journal of Advanced

Academics, 22, 52-76.

Chambers, P. (2009). Teaching Mathematics. London: Sage Publications Inc.

Cheung, R. H. P. (2012). Teaching for creativity: Examining the beliefs of early

childhood teachers and their influence on teaching practices. Australasian

Journal of Early Childhood. 37. (3), 43–51.

Chick, H. L. (2002). Pre-service primary teachers' assessment of and performance

on multiplicative numeracy items. In A. D. Cockburn, & E. Nardi (Eds.).

Proceedings of the 26th Annual Conference of the International Group for

the Psychology of Mathematics, (Vol. 2, pp. 233-240). Norwich, UK:

PME.

Chin, E.T.; Lin, Y.C.; Chuang, C.W.; & Tuanf, H.L. (2007). The Influence Of

Inquiry-Based Mathematics Teaching On 11th Grade High Achievers:

Focusing On Metacognition. . In Woo, J. H., Lew, H. C., Park, K. S. &

Seo, D. Y. (Eds.). Proceedings of the 31st Conference of the International

Group for the Psychology of Mathematics Education. 2, 129-136.

Chinnappan, M. & Forrester, T. (2014). Generating procedural and conceptual

knowledge of fractions by pre-service teachers. Mathematics Education

Research Journal. 26, 871–896.

Clarke, D. M., Clarke, D. J. & Sullivan, P. (2012). Reasoning in the Australian

Curriculum: Understanding its meaning and using the relevant language.

Australian Primary Mathematics Classroom. 17, (3), 28–32.

Clements, D. H., & Sarama, J. (2007). Early childhood mathematics learning. In F.

K. Lester Jr (Ed.), Second handbook of research on mathematics teaching

and learning. Vol 1. (pp. 461–555). New York: Information Age

Publishing.

http://rlrw.bnu.edu.cn/uploads/%202011420132315861.pdf

335


Clements, D. H., Sarama, J., & DiBiase, A. M. (Eds.). (2003). Engaging young

children in mathematics: Findings of the 2000 National Conference on

Standards for Preschool and Kindergarten Mathematics Education.

Mahwah, NJ: Lawrence Erlbaum Associates.

Cluff, J.J., (2005). Fraction Multiplication and Division Image Change in Pre-

Service Elementary Teachers. All Theses and Dissertations. Paper 609.

Brigham Young University – Provo. [on line]. http://scholarsarchive.

byu.edu/etd.

Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences.

Second Edition. Hillsdale, New York: Lawrence Erlbaum Associates.

Copes, L. (2008). Discovering Geometry : An Investigative Approach. Emeryville

: Key Curriculum Press.

Costa, A. L. (2001). Developing Minds A Resource Book for Teaching Thinking.

3rd Edition. Alexandria, Virgina USA: Association for Supervision and

Curriculum development

Cotton, K. (1991). Teaching Thinking Skills. Northwest Regional Educational

Laboratory. [on line]. http://www.nwrel.org/scpd/sirs/6/cu11.html.

Coxbill, E. ; Chamberlin, S.A; & Weatherford, J.(2013). Using Model-Eliciting

Activities As a Tool to Identify and Develop Mathematically Creative

Students. Journal for the Education of the Gifted. 36, (2). 176–197.

Crespo, S. & Nicol, C. (2003). Learning to investigate students' mathematical

thinking: The role of student interviews. Proceeding of the International

Group for the Psychology of Mathematics Education, 27, (2), 261-268.

Creswell, J.W. & Clark, V.L.P. (2007). Designing and Conducting Mixed Methods

Research. California: Sage Publications. Inc.

Creswell, J.W. (2012). Educational Research. Fourth Edition. Boston: Edwards

Brothers. Inc.

Creswell, John. W. (2008). Educational research: Planning, conducting, and

evaluating quantitative and qualitative research. New Jersey: Pearson,

Merrill Prentice Hall.

Crooks, N. M. & Alibali, M.W. (2014). Defining and measuring conceptual

knowledge in mathematics. Developmental Review. 34, (2014). 344–377

Csíkos, C., & Csapó, B. (2011). Diagnostic assessment frameworks for

mathematics: Theoretical background and practical issues. In B. Csapó, &

http://scholarsarchive/

http://www.nwrel.org/comm/glance.html#location

http://www.nwrel.org/comm/glance.html#location

http://www.nwrel.org/scpd/sirs/6/cu11.html

336


M. Szendrei (Eds.). Framework for diagnostic assessment of mathematics

(pp. 137–162). Budapest: Nemzeti Tankönyvkiadó.

Curriculum dan Instruction (C&I) Mathematics. (2009). Mathematics Core

Curriculum (Revised 2005). New York State Education Department. [on

line]: http://www.p12.nysed.gov/ciai/mst/math/standards/core.html

Darling-Hammond, L. (2006). Constructing 21st-Century Teacher Education.

Journal of Teacher Education. 57, (3). 300-314.

De Cruz, H., & De Smedt, J. (2013). Mathematical symbols as epistemic actions.

Synthese. 190, 3–19.

Debbie, L. H-V.; & Richard, G. L. (2013). An Introduction to Statistical Concepts:

Third Edition. Newyork : Newyork.

Diezmann, C.M.; Watters, J.J & English, L.D. (2001). Implementing mathematica

investigations with young children. In Proceedings 24th Annual

Conference of the Mathematics Education Research Group of Australasia,

170-177, Sydney.

Dimyati & Mudjiono. (2006). Belajar dan Pembelajaran. Jakarta: Rineka Cipta.

Direktorat Pendidikan Menengah Umum (2003). Kurikulum 2004 SMA Pedoman

Khusus Pengembangan Silabus dan Penilaian Mata Pelajaran

Matematika. Jakarta: Direktorat Jenderal Pendidikan Dasar dan

Menengah.

Drost, B.R & Levine, A.C . (2015). An Analysis of Strategies for Teaching

Standards-Based Lesson Plan Alignment to Preservice Teachers. Journal

of Education. 195 (2), 37-47

Duncan, J. (2010). Critical Thinking. University of Toronto at Scarborough. [on

line]. http://www.utsc.utoronto.ca/~tlsweb/TWC/webresources/terms.

htm

Dwyer, C.P ; Hogan,M.J; & Stewart, I. (2014). An integrated critical thinking

framework for the 21st century. Thinking Skills and Creativity . 12. (2014),

43–52.

Ennis, RH. (1996). Critical Thinking. New Jersey: Prentice Hall. Inc.

Evans, J.R (1991). Creative Thinking In the Decision and Management Scienses.

Cincinti, Ohio: South-Western Publishing Co.

http://www.p12.nysed.gov/ciai/mst/math/standards/core.html

http://www.utsc.utoronto.ca/~tlsweb/TWC/webresources/terms.%20htm

http://www.utsc.utoronto.ca/~tlsweb/TWC/webresources/terms.%20htm

337


Fernandez, C., Llinares, S. & Valls, J. (2013). Primary school teacher’s noticing of

students’ mathematical thinking in problem solving. The Mathematics

Enthusiast, 10, 441-468.

Filsaime, D.K. (2008). Menguak Rahasia Berpikir Kritis dan Kreatif. Jakarta:

Prestasi Pustaka Publisher.

Fisher, A. (2009). Berpikir Kritis. Sebuah Pengantar. Jakarta: Erlangga.

Forawi, S.A. (2016). Standard-based science education and critical thinking.

Thinking Skills and Creativity. 20. (2016), 52–62.

Foundation for Critical Thinking. (2013). Defining Critical Thinking. [on line]

http://www.criticalthinking.org/pages/defining-critical-thinking/410

Fraenkel, J.R., & Wallen, N.E. (1993). How to Design and Evaluate Reseach in

Education. Singapore: Mc Graw Hill.

Frankcom, G. (2009). Investigative mathematics: Discovering the teacher

mathematician inside. In R. Averill & R. Harvey (Eds.), Teaching

Secondary School Mathematics and Statistics: Evidence-based Practice

(pp. 23-36). Wellington: NZCER Press.

Fuson, K. C., Carroll, W. M., & Drueck, J. V. (2000). Achievement results for

second and third graders using the Standards-based curriculum Everyday

Mathematics. Journal for Research in Mathematics Education, 31, (3),

277-295.

Garner, B. & Garner, L. (2001). Retention of concepts and skills in traditional and

reformed applied calculus. Mathematics Education Research Journal. 13,

(3), 165-184.

Glazer, E. (2000). Technology enhanced learning environtments that are

conducive to critical thinking in mathematics: implication for research

about critical thinking on the world wide web. [on line].

hhtp://www.lonestar.texas.net/ ~mseifert/ crit2.html.

Goethals, PL. (2013). The Pursuit of Higher-Order Thinking in the Mathematics

Classroom: A Review.The Center for Faculty Excellence, United States

Military Academy, West Point, NY. [on line]. http://www.usma.edu/

cfe/literature/goethals_13.pdf.

González, G. & Herbst, P. (2013). An Oral Proof in a Geometry Class:

How Linguistic Tools Can Help Map the Content of a Proof. Cognition

and Instruction, 31,(3), 271-313.


http://www.usma.edu/%20cfe/literature/goethals_13.pdf

http://www.usma.edu/%20cfe/literature/goethals_13.pdf

338


Goodwin, M. & Sommervold, C. (2012). Creativity, Critical Thinking, and

Communication. Lanham, Maryland: Rowman & Littlefield Publisher,

Inc.

Grawe, N.D (2011). Beyond math skills: Measuring quantitative reasoning in

context. New directions for institutional research. 149. (2011), 41-52.

Greenberg, J. & Waksh, K. (2008). No Common Denominator . The Preparation

of Elementary Teachers in Mathematics by America’s Education Schools.

National Council On Teacher Quality. [on line]. hhtp://www.nctq.org.

Grimison, L. & Dawe, L. (2000). Report Supporting Investigations for the

Advanced and Intermediate Courses of the NSW Mathematics Years 9–10

Syllabus. Sydney: University of New South Wales, The University of

Sydney and The University of Western Sydney.

Grouws, D. A. & Cebulla, K. J. (2000). Improving student achievement in

mathematics. Arlington, VA: Educational Research Service.

Grouws, D. A. (2004). Chapter 7. Mathematics. In Handbook of Research on

Improving Student Achievement, 3rd ed., edited by G. Cawelti. Arlington,

Va.: Educational Research Service.

Haapasalo dan Kadijevich. (2000). Simultaneous activation of conceptual and

Procedural mathematical knowledge by means of ClassPad. On line. [on

line]. https://edutice.archives-ouvertes.fr/edutice-00001347/document.

Hallett, D., Nunes, T., & Bryant, P. (2010). Individual differences in conceptual

and procedural knowledge when learning fractions. Journal of

Educational Psychology, 102(2), 395–406.

Hallett, D., Nunes, T., Bryant, P., & Thorpe, C. M. (2012). Individual differences

in conceptual and procedural fraction understanding: The role of abilities

and school experience. Journal of Experimental Child Psychology, 113,

(2012), 469–486.

Hansen, J. B., & Feldhusen, J. F. (1994). Comparison of trained and untrained

teachers of gifted students. Gifted Child Quarterly. 38, (3), 115–121.

Harden, R.M. & Crosby, J.R. (2000). The good teacher is more than a lecturer –

the twelve roles of the teacher. Medical Teacher. 22, (4), 334-347.

Haylock, D. & Thangata. (2007). Key Concepts in Teaching Primary Mathematics.

London: SAGE Publications Ltd.

Haylock, D. (1997). Recognizing mathematical creativity in school children. ZDM:

International Journal on Mathematics Education. 29, 68-74.

http://www.nctq.org/

https://edutice.archives-ouvertes.fr/edutice-00001347/document

339


Heppner; Wampold & Kivlighan. (2008). Research Design in Counseling, Third

Edition. USA: Thomson Brooks/Cole.

Herbert, S.; Vale, C.; Bragg, .A.; Loong, E.; & Widjaja, W. (2015). A framework

for primary teachers’ perceptions of mathematical reasoning, International

journal of educational research. 74, 26-37

Hidayat, R. (2010). Pembelajaran Kontekstual Dengan Strategi React Dalam

Upaya Pengembangan Kemampuan Pemecahan Masalah, Berpikir

Kritis, Dan Berpikir Kreatif Matematis Mahasiswa Bidang Bisnis.

Disertasi. Universitas Pendidikan Indonesia: Tidak dipublikasikan.

Hiebert, J. (2003). Teaching mathematics in seven countries: Results from the

TIMSS 1999 video study. Washington, DC: NCES.

Hiebert, J., & Carpenter, T. (1992). Learning and teaching with understanding. In

D. Grouws (Ed.), Handbook of research on mathematics research and

teaching (pp. 65-100). New York, NY: MacMillan.

Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge in

mathematics: An introductory analysis. In J. Hiebert (Ed.), Conceptual and

procedural knowledge: The case of mathematics (pp. 1-27). Hillsdale. NJ:

Lawrence Erlbaum.

Hiebert, J., & Stigler, J. W. (2000). A proposal for improving classroom teaching:

Lessons from the TIMSS video study. The Elementary School Journal.

101, (1), 3–20

Higgins, S.,; Hall, E.,; Baumfield, V.; & Moseley, D. (2005), A Meta-Analysis of

the Impact of the Implementation of Thinking Skills Approaches on Pupils,

in Research in Education Library, London: EPPI-Centre, Social Science

Research

Hohensee, C. (2014). Backward transfer: An investigation of the influence of

quadratic functions instruction on students’ prior ways of reasoning about

linear functions. Mathematical Thinking and Learning, 16. (2), 135–174.

Hong, F. T. (2013). The role of pattern recognition in creative problem solving: A

case study in search of new mathematics for biology. Progress in

Biophysics and Molecular Biology. 113, 181–215.

Hopkins, M.T . (2002). The Effects of Computer-Based Expository and Discovery

Methods of Instruction on Aural Recognition of Music Concepts. Journal

for Research in Mathematics Education. 50 (2). 131-144.

340


Hosnan (2014). Pendekatan Saintifik dan Kontekstual dalam Pembelajaran Abad

21. Bogor: Ghalia Indonesia.

Howard, L.W; Tang, T. L; & Austin, M.J. (2015). Teaching Critical Thinking

Skills: Ability, Motivation, Intervention, and the Pygmalion Effect.

Journal of Businnes Ethics. 128, (2015), 133–147.

Ibrahim. (2011). Peningkatan Kemampuan Komunikasi, Penalaran Dan

Pemecahan Masalah Matematis Serta Kecerdasan Emosional melalui

Pembelajaran Berbasis Masalah pada Siswa Sekolah Menengah Atas.

(Disertasi). Universitas Pendidikan Indonesia: Tidak dipublikasikan.

Irwan. (2011). Peningkatan Kemampuan Penalaran Matematis dan Berpikir Kritis

Metamatis Siswa Melalui Pendekatan Problem Posing Model Search,

Solve, Create, dan Share (SSCS). (Disertasi). Universitas Pendidikan

Indonesia: Tidak dipublikasikan.

Jader, J; Sidenvall, J.; & Sumpter, L. (2014) Students’ Mathematical Reasoning and

Beliefs in Non-routine Task Solving. Current State of Research on

Mathematical Beliefs XX: Proceedings of the MAVI-20 Conference

September 29 – October 1, 2014, 115-126. Falun, Sweden.

Jaworski, B (2003). Investigating Mathematics Teaching: A Constructivist

Enquiry. London : The Falmer Press

Jaworski, B. (1994). Investigating mathematics teaching: A constructivist enquiry.

London: Falmer Press.

Juangsih, J. (2014). Peran LPTK dalam menghasilkan Guru yang Profesional.

Wahana Didaktika. 12, (2), 72-83.

Jukić, Lj., & Dahl, B. (2011). What Affects Retention of Core Calculus Concepts

Among University Students? A Study of Different Teaching Approaches

in Croatia and Denmark. Proceedings of 7thCongress of the European

Society for Research in Mathematics Education (CERME), Rzeszow,

Poland Karsenty R. (2003). What adults remember from their high school

mathematics? The case of linear functions. Educational Studies in

Mathematics. 51, 117-144.

Kansil, Y. E. (2014). Arsip Nilai Pendidikan Matematika I. Prodi PGSD FKIP

Universitas Haluoleo. (Tidak dipublikasikan).

Kattou, M.; Kontoyianni, K.; Pitta-Pantazi, D.; Christou, C. & Cleanthous, E.

(2012). Predicting mathematical creativity. Retrieved from

http://mathgifted.org/publications/D3.4.pdf.

http://mathgifted.org/publications/D3.4.pdf

341


Kemendikbud. (2013). Kompetensi Dasar Sekolah Dasar (SD)/Madrasah

Ibtidaiyah (MI). Jakarta: Kemedikbud RI.

Keputusan Menteri Pendidikan Nasional. No. 045/U/2002 tentang Kurikulum Inti

Perguruan Tinggi.

Khiat, H. (2010). A Grounded Theory Approach: Conceptions of Understanding in

Engineering Mathematics Learning. The Qualitative Report. 15, (6),

1459-1488.

Kilpatrick, J; Swafford, J; & Findell, B. (2001). Adding It Up. Helping Children

Learn Mathematics. Washington DC: National Academy Press.

King, F.J., Goodson, L., & Rohani, F. (1998) Higher order thinking skills:

Definitions, strategies, assessment. [on line]. http://www.cala.fsu.

edu/files/higher_ order_thinking_skills.pdf.

Koyuncu, I.; Akyuz, D. & Cakiroglu, E. (2015). Investigating Plane Geometry

Problem-Solving Strategies Of Prospective Mathematics Teachers In

Technology And Paper-And-Pencil Environments. International Journal

of Science and Mathematics Education. 13 (4), 837-862.

Kruger, K. (2013). Higher-Order Thinking. Hidden Sparks, Inc. New York. [on

line] : http://hswow.s3.amazonaws.com/02-13-2013/higher_thinking_02-

13-2013.pdf

Kuswana, W.S (2011). Taksonomi Berpikir. Bandung: Remaja Rosda Karya.

Kwon, O. N., Park, J. H., & Park, J. S. (2006). Cultivating divergent thinking in

mathematics through an open-ended approach. Asia Pacific Education

Review. 7, 51–61.

Larsson, C. (2013). Experiencing Molecular Processes. The Role of

Representations for Students’ Conceptual Understanding. (Dissertation).

Faculty of Educational Sciences at Linköping University. Swedish

National Graduate School in Science and Technology Education

Lassig, C.L. (2013). Approaches to creativity: How adolescents engage in the

creative process. Thinking Skills and Creativity. 10, (2013), 3–12.

Latan, H. (2014). Aplikasi Analisis Data Statistik untuk Ilmu Sosial Sains. Bandung:

Alfabeta.

Latterell, C. M. 2008. What is Good College Mathematics Teaching? [on line].

http://www.cimt.plymouth. ac.uk /journal/.

http://hswow.s3.amazonaws.com/02-13-2013/higher_thinking_02-13-2013.pdf

http://hswow.s3.amazonaws.com/02-13-2013/higher_thinking_02-13-2013.pdf

342


Lauritzen, P. (2012). Conceptual and Procedural Knowledge of Mathematical

Functions. (Dissertation). Joensuu: University of Eastern Finland.

Publications of the University of Eastern Finland Dissertations in

Education, Humanities, and Theology.

Lesh, R. (1985). Processes, skills, and abilities needed to use mathematics in

everyday situations. Education and Urban Society, 17, (4), 439-446.

Lester, F.K., Maki, D.P., LeBlanc, J.F., & Kroll, D.L. (1992). Preparing elementary

teachers to teach mathematics: a problemsolving approach. Final report

Vol. II, content component. Bloomington: Indiana University,

Mathematics Education Development Center. (ERIC Document

Reproduction Service No. ED 349 181)

Lev-Zamir, H., & Leikin, R. (2011). Creative mathematics teaching in the eye of

the beholder: Focusing on teachers’ conceptions. Research in Mathematics

Education. 13, (1), 17–32.

Libeskind, S. (2011). Teaching mathematics for Prospective Elementary School

Teachers: What textbooks don‟t tell. Primus: Problems, Resources, and

Issues in Mathematics Undergraduate Studies, 21, (5), 473-484.

Liljedahl, P. (2005). Mathematical discovery and affect: The effect of AHA!

experiences on undergraduate mathematics students. International

Journal of Mathematical Education in Science and Technology, 36, (2-3),

219-234.

Lingard, B.; Ladwig, J.; Mills, M.; Bahr, M.; & Chant, D. (2001). Queensland

School Reform Longitudinal Study. Brisbane, Australia: Education

Queensland.

Lithner, J. (2008). A research framework for creative and imitative reasoning.

Educational Studies in Mathematics. 67, (3), 255–276.

Lithner, J. (2008a). Students’ mathematical reasoning in university textbook

exercises. Educational Studies in Mathematics. 52, (1), 29–55.

Loong, E.Y-K.; Valle, C. ; Bragg, L.A. & Herbert, S. (2013). Primary school

teachers’ perceptions of mathematical reasoning. In V. Steinle, L. Ball &

C. Bardini (Eds.) Proceedings of 36th Annual conference of the MERGA

(pp. 466–473). Melbourne: MERGA.

Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers

understanding of fundamental mathematics in China and the United

States. Mahwah, NJ: Lawrence Erlbaum.

343


Mabbott, D. J., & Bisanz, J. (2003). Developmental change and individual

differences in children’s multiplication. Child Development. 74, 1091–

1107.

Maciejewski, W., Mgombelo, J., Savard, A. (2011). Meaningful Procedural

Knowledge in Mathe- matics Learning. In Liljedahl, P. (Ed.) Proceedings

of the 2011 Canadian Mathematics Education Study Group, St. John’s,

Newfoundland and Labrador.

Magiera, T.M., van den Kieboom, L.A. & Moyer, J. (2013). An exploratory study

of preservice middle school teachers’ knowledge of algebraic thinking.

Educational Studies in Mathematics, DOI 10.1007/s10649-013-9472-8

Maheshwari, V.K. (2013). Expository Teaching - A Direct Instructional Strategy.

[on line]. hhtp://www.vkmaheshwari.com/WP/?p=928.

Mammana, M.F; Micale B; & Pennisi, M. (2010). Analogy and dynamic geometry

system used to introduce three-dimensional geometry. International

Journal of Mathematical Education in Science & Technology. Department

of Mathematics and Computer Science, University of Catania, pp. (818-

830): Taylor & Francis Ltd.

Mann, E.L. (2005) Mathematical Creativity and School Mathematics:Indicators of

Mathematical Creativity in Middle School Students. (Dissertation).

University of Connecticut.

Marin, L. M., & Halpern, D. F. (2011). Pedagogy for developing critical thinking

in adolescents: Explicit instruction produces greatest gains. Thinking Skills

and Creativity. 6, 1–13.

Mason, J.; Burton, L., & Stacey, K. (2010). Thinking Mathematically. (Second

edition). England: Pearson Education Limited.

Maulana. (2012). Alternatif Pembelajaran Matematika dengan Pendekatan

Metakognitif untuk Meningkatkan Kemampuan Berpikir Kritis

Mahasiswa PGSD. (Tesis). UPI. Bandung: Tidak Dipublikasikan.

Mayadiana, D. (2011). Mengembangkan Kemampuan Penalaran dan Pemecahan

Masalah Kreatif Matematis Calon Guru SD Melalui Pembelajaran

dengan Pendekatan Induktif. (Disertasi). Universitas Pendidikan

Indonesia: Tidak dipublikasikan.

McAllister, C. J., & Beaver, C. (2012). Identification of error types in preservice

teachers attempts to create fraction story problems for specified

operations. School Science and Mathematics. 112, (2), 88-98.

344


McLeod, K., & Huinker, D. (2007). Mathematics focus courses: Mathematics

content for elementary and middle grades teachers. International Journal

of Mathematical Education in Science and Technology. 38, (7), 949-962.

McLeod, S. (2007). Lev Vygotsky. [on line]. http://www.simplypsychology.org

/vygotsky.html.

McLeod, S. (2009). Jean Piaget . [on line]. http://www.simplypsychology.org

/piaget.html.

Meltzer, D.E. (2002). The Relationship Between Mathematics Preparation And

Conceptual Learning Gains In Physics: A Possible Hidden Variabel In

Diagnostic Pretest Scores. [on line]. http://physicseducation.net/docs/

Addendum_ on_normalized_gain.pdf.

More, C. C. (2005). California's Math Reforms Aim to Inspire Economy of Thought.

[on line]. https://www.stolaf.edu/other/extend /Expectations/ moore.html.

Morris, H. (2001). Issues raised by testing trainee primary teachers' mathematical

knowledge. Mathematics Teacher Education and Development, 3, 37-47.

Mulyasa, (2013). Uji Kompetensi dan Penilaian Kinerja Guru. Bandung: PT

Remaja Rosda Karya.

Munandar, S.C. U. (2002). Kreativitas dan Keberbakatan: Strategi Mewujudkan

Potensi Kreatif dan Bakat. Jakarta: PT Gramedia Pustaka Utama.

Murphy, C. (2012). The role of subject knowledge in primary prospective teacher

approaches to teaching the topic of area. Journal of Mathematics Teacher

Education. 15, (3), 187- 206.

Musser, G.L.; Burger, W.F & Peterson, B. E. (2008). Mathematics for Elementary

Teachers . A Contemporary Approach. Danvers, USA: John Wiley &

Son. Inc.

NAPLAN, (2010). Preparation – 2010. High Order Thinking. [on line].

http://varsityp-3.wikispaces.com/file/view/doc7602762.

National Commission on Mathematics and Science Teaching for the Twenty-First

Century. (2000). Before it’s too late: A report to the nation. [on line].

http://www.nationalmathandscience.org/sites/default/files/resource/

National Council of Teachers of Mathematics. (1995).Assessment standards for

school mathematics. Reston: VA.

http://www.simplypsychology.org/saul-mcleod.html

http://www.simplypsychology.org/saul-mcleod.html

http://www.simplypsychology.org/

http://physicseducation.net/docs/

https://www.stolaf.edu/other/extend%20/Expectations/%20moore.html

http://varsityp-3.wikispaces.com/file/view/doc7602762

http://www.nationalmathandscience.org/sites/default/files/resource/

345


National Council of Teachers of Mathematics. (2000). Principles and standards for

school mathematics. Reston, VA: National Council of Teachers of

Mathematics.

National Council Of Teachers Of Mathematics. (2009). Focus in High School

Mathematics. Reasoning and Sense Making. Reston, VA: Author.

National Council of Teachers of Mathematics. (2014). Procedural Fluency in

Mathematics. [On line] : http://www.nctm.org/uploadedFiles/Standards_

and_Positions/ Position_Statements/Procedural%20Fluency.pdf.

National Council of Teachers of Mathematics. (2014). Principles to actions:

Ensuring mathematical success for all. Reston VA: Author.

New Jersey Mathematics Curriculum Framework (1996). The first four standards,

standard 4–reasoning; K-12 overview. [on line].

http://dimacs.rutgers.edu/nj_math_coalition/framework/ch01-04/ch01-

04_s4.html

Nor’ain, MT & Chinnappan, M. (2016). Relationship between scientific reasoning

skills and mathematics achievement among Malaysian students. Geografia

OnlineTM Malaysian Journal of Society and Space . 12, (1), 96 - 107.

Oliveira, H., Segurado, I., Ponte, J. P., & Cunha, H. (1997). Mathematical

investigations in the classroom: A collaborative project. In V. Zack, J.

Mousley, & C. Breen (Orgs.), Developing practice: Teachers' inquiry and

educational change (pp. 135-142).

Ottmar, E. R., Rimm-Kaufman, S. E., Berry, R. Q., & Larsen, R. A. A. (2013).

Results from a randomized controlled trial: Does the Responsive

Classroom approach affect the use of standards-based mathematics

teaching practices? Elementary School Journal. 113, (3), 434–457.

Oxford Cambridge and RSA, OCR (2011). Thinking and Reasoning Skills. [on

line]. http://www.ocr.org.uk/

Peraturan Menteri Pendidikan Dan Kebudayaan Republik Indonesia Nomor 49

Tahun 2014 Tentang Standar Nasional Pendidikan Tinggi

Peraturan Presiden Republik Indonesia Nomor 8 Tahun 2012 Tentang Kerangka

Kualifikasi Nasional Indonesia

Peraturan Rektor Universitas Pendidikan Indonesia Nomor 5804/UN40/HK/2015

tentang Pedoman Penulisan Karya Ilmiah UPI tahun 2015

http://www.nctm.org/uploadedFiles/Standards_%20and_Positions/

http://www.nctm.org/uploadedFiles/Standards_%20and_Positions/

http://dimacs.rutgers.edu/nj_math_coalition/framework/ch01-04/ch01-04_s4.html

http://dimacs.rutgers.edu/nj_math_coalition/framework/ch01-04/ch01-04_s4.html

http://www.ocr.org.uk/

346


Peretz, D. (2006). Enhancing Reasoning Attitudes Of Prospective Elementary

School Mathematics Teachers. Journal of Mathematics Teacher

Education. 9, (4), 381-440.

Petit, M., & Hess, K. (2006). Applying Webb’s Depth of Knowledge and NAEP

levels of complexity in mathematics. [on line].

http://www.nciea.org/publications /DOKmath_KH08.pdf

Philipou, G., & Christou, C. (1999). Teachers' conceptions of mathematics and

students' achievement: A cross-cultural study based on results from

TIMSS. Studies in Educational Evaluation. 25, 379 – 398.

Piaw, C.Y (2010). Building a test to assess creative and critical thinking

simultaneously. Procedia Social and Behavioral Sciences . 2, (2010), 551–

559.

Piggot. J. (2004). Mathematics Enrichment: What Is It And Who Is It For?. Paper

presented at the British Educational Research Association Annual

Conference, University of Manchester, 16-18 September 2004.

Ponte, J. (2001). Investigating in mathematics and in learning to teach mathematics.

Making sense of mathematics teacher education (pp.53-72). Eds : F. L.

Lin & T. J. Cooney. Dordrecht: Kluwer.

Protheroe, N. (2007). What Does Good Math Instruction Look Like? Principal. 7,

(1), 51-54.

Prouse, H. L. (1967). Creativity in school mathematics. Mathematics Teacher. 60,

876-879.

Rach, S. & Heinze, A. (2011). Studying Mathematics at the University: The

Influence of Learning Strategies. Proceedings of the 35th Conference of

the International Group for the Psychology of Mathematics Education,

(PME’ 11), PME, Ankara, 9-16

Richland, L. E., & McDonough, I. M. (2010). Learning by analogy: discriminating

between potential analogs. Contemporary Educational Psychology. 35,

(1), 28–43.

Rieber L.P. & Parmley M.W. (1995) To teach or not to teach? Comparing the use

of computer-based simulations in deductive versus inductive approaches

to learning with adults in science. Journal of Educational Computing

Research. 13, 359–374

Rittle-Johnson, B., & Siegler, R. S. (2005). The relationship between conceptual

and procedural knowledge in learning mathematics: A review. In C.

http://link.springer.com/journal/10857

http://link.springer.com/journal/10857

http://www.nciea.org/publications%20/DOKmath_KH08.pdf

347


Donlan (Ed.), The development of mathematical skills (pp. 75-110). New

York: Psychology Press Ltd.

Rittle-Johnson, B., Siegler, R. S., & Alibali, M. W. (2001). Developing conceptual

understanding and procedural skill in mathematics: An iterative process.

Journal of Educational Psychology, 93, 346 –362

Rochamimah, S. (2008). Pengaruh Pembelajaran Penemuan Terhadap

Kemampuan Berpikir Kritis Matematis Mahasiswa Calon Guru.

(Disertasi). Universitas Pendidikan Indonesia: Tidak dipublikasikan.

Rohrer, D. (2009). The effects of spacing and mixed practice problems. Journal for

Research in Mathematics Education. 40, (1), 4–17.

Russell, S. J. (1999). Mathematical reasoning in the elementary grades. In L. V.

Stiff & F. R. Curcio (Eds.), Developing mathematical reasoning, K-12 (pp.

22-36). Reston, VA: National Council of Teachers of Mathematics.

Sabri. (2010). Berpikir Matematis untuk Pemahaman pada Tingkat Kesadaran.

Jurusan Matematika UNM. [on line]. http://digilib.unm.ac.id/files

/disk1/5/universitas%20negeri%20makassar.

Sangster, M. (2012). The rise and fall of an investigative approach to mathematics

in primary education. In. Smith, C. , ed. Proceedings of the British Society

for Research into Learning Mathematics, 32, (1), 43-46).

Sarjono, H. & Julianita, W. (2015). Sructural Equation Modeling (SEM). Jakarta:

Salemba Empat.

Schneider, M., Rittle-Johnson, B., & Star, J. R. (2011). Relations among conceptual

knowledge, procedural knowledge, and procedural flexibility in two

samples differing in prior knowledge. Developmental Psychology. 47,

1525–1538.

Schoenfeld, A. H. (1992). Learning to think mathematically: problem solving,

metacognition, and sense-making in mathematics. In D. Grouws, (Ed.).

Handbook for Research on Mathematics Teaching and Learning. (pp.

334-370). New York: MacMillan.

Schunk, D.H. (2012). Learning Theories An Educational Perspective (edisi ke VI).

Yogyakarta: Pustaka Pelajar.

Scriven, M., & Paul, R. (1987). The 8th Annual International Conference on

Critical Thinking and Education Reform. [on line]. http://

www.criticalthinking.org/pages/defining-critical-thinking/766.

http://digilib.unm.ac.id/files


348


Shadiq, F. (2008) Empat Objek Langsung Matematika Menurut Gagne . [on line] :

http://fadjarp3g.files.wordpress.com/2008/12/.

Sharma, Y. (2014). The Effects of Strategy and Mathematics Anxiety on

Mathematical Creativity of School Students. Mathematics Education. 9,

(1), 25-37.

Shellard, E. and Moyer, P.S. (2002). What Principals Need to Know about

Teaching Math. Alexandria, Va.: National Association of Elementary

School Principals and Educational Research Service.

Siegler, R. S., & Opfer, J. E. (2003). Research Article The Development of

Numerical Estimation: Evidence for Multiple Representations of

Numerical Quantity, Psychological Science. 14. (3), 237–243.

Simon, M.; Tzur, R.; Heinz, K.; Kinzel, M.; & Smith, M.C. (2000). Characterizing

a perspective underlying the practice of mathematics teachers in transition.

Journal for Research in Mathematics Education. 31, (5), 579-601.

Singer, F. M., & Voica, C. (2013). A problem-solving conceptual framework and

its implications in designing problem-posing tasks. Educational Studies in

Mathematics, 83, 9–26.

Siswono, T.Y.E. & Rizal. M. (2012). Kemampuan Estimasi Guru Sekolah Dasar

dalam Operasi Hitung. Forum Kependidikan, FKIP Universitas Sriwijaya,

30, (1), 69-78

Siswono, T.Y.E.,( 2010). Konstruksi Teoritik Tentang Tingkat Berpikir Kreatif

Siswa Dalam Matematika. Surbaya: Jurusan Matematika FMIPA

UNESA.

Skemp, R. R. (1978). Relational understanding and instrumental understanding.

Arithmetic Teacher. 26, (3), 9-15.

Smith, John P., III; diSessa, Andre A., & Roschelle, Jeremy (1993).

Misconceptions reconceived: A constructivist analysis of knowledge in

transition. Journal of the Learning Sciences. 3, (2), 115–163.

Sonnabend, .A. (1993). Mathematics for Elmentary Teacher. An Interactive

Approach. Philadelphia: Sunders College Publishing.

Southwell, Beth & Penglase, Marina (2005). Mathematical Knowledge Of Pre-

service Primary Teachers. In Chick, H. L. & Vincent, J. L. (Eds.).

Proceedings of the 29th Conference of the International Group for the

Psychology of Mathematics Education. 4, 209-216.

http://fadjarp3g.files.wordpress.com/2008/12/

349


Spillane, J. P., & Zeuli, J. S. (1999). Reform and teaching: Exploring patterns of

practice in the context of national and state mathematics reforms.

Educational Evaluation and Policy. 21, (1), 1–27.

Stacey, K. (2007). What is Mathematical Thinking an d Why is It Important?

Progress Report of the APEC Project: Collaborative Studies on

Innovations for Teaching and Learning Mathematics in Different Cultures

(II) (Lesson Study Focusing on Mathematical Thinking), (pp 39-48).

Tsukuba: Center for Research on Internatio nal Cooperation in Educational

Development (CRICED). University of Tsukuba.

Star, J. (2005). Reconceptualizing procedural knowledge. Journal for Research in

Mathematics Education. 36, (5), 404–411.

Starko, A. J. (2004). Creativity in the classroom: School of curious delight.

Newyork: Longman.

Stein, M. K.; Smith, M. S.; Henningsen, M. A.; & Silver, E. A. (2000).

Implementing standards-based mathematics instruction: A casebook for

professional development. New York, NY: Teachers College Press.

Stenberg, R, J. (2008). Psikologi Kognitif. Yogyakarta: Pustaka Pelajar

Stephens, A. C. (2006). Equivalence and relational thinking: preservice elementary

teachers’ awareness of opportunities and misconceptions. Journal of

Mathematics Teacher Education. 9, (3), 249–278.

Strong, J.H; Grant, L. & Xu, X. (2016). Searching for Excellence in a New Age:

Rethinking Teacher Qualities to Promote Student Success for 21st Century

Learning. In book: Connecting the Dots: Teacher Effectiveness and

Deeper Learning, Chapter: 11. Solution Tree, Editors: James A. Bellanca,

pp.249 – 278.

Stump, S., & Bishop, J. (2002). Preservice Elementary And Middle School

Teachers Conceptions Of Algebra Revealed Through The Use Of

Exemplary Curriculum Materials. Teacher Knowledge, 1903-1914.

Stylianides, G.J; Stylianides, A.J & Shilling-Traina, L.H (2013). Prospective

Teachers’ Challenges In Teaching Reasoning-And-Proving. International

Journal of Science and Mathematics Education. 11, (2013), 1463-1490.

Sumarmo, U. (2013). Evaluasi dalam Pembelajaran Matematika. Dipublikasikan di

Teori Pradigma, Prinsip, dan Pendekatan Pembelajaran MIPA dalam

Konteks Indonesia. hal (249-280). Dalam Kumpulan Makalah: Berpikir

dan Disposisi Matematika serta Pembelajarannya. Bandung: Jurusan

Pendidikan Matematika FPMIPA UPI.

350


Sumarno, U. (2013a). High Level Mathematical thinking: Experiments with high

school and undergraduate students using various approach and strategies.

Paper presented at the first International Conference on mathematics and

statistics June 2006. Bandung. Dalam Kumpulan Makalah: Berpikir dan

Disposisi Matematika serta Pembelajarannya. Bandung: Jurusan

Pendidikan Matematika FPMIPA UPI.

Suryadi, D. (2013) Landasan-Teoritik-Siswaan-Berpikir-Matematik. [on line].

http://didi-suryadi.staf.upi.edu/tulisan/.

Tambunan, Sumarna, N., Wibowo, S., & Jahidin. (2015). Analisis Kinerja Guru

Sekolah Dasar Pasca Sertifikasi Di Kota Kendari Tahun 2015. (penelitian

kerjasama). Kendari: Bappeda Kota Kendari

Tanisli, D., & Kose, N. Y. (2013). Pre-Service Mathematic Teachers’ Knowledge

of Students about the Algebraic Concepts. Australian Journal of Teacher

Education, 38. (2). 1-18.

Tatsuoka, K. K., Corter, J. E., & Tatsuoka, C. (2004). Patterns of diagnosed

mathematical content and process skills in TIMSS-R across a sample of 20

countries. American Educational Research Journal. 41, 901–926.

The Critical Thinking Consortium. (2013). Critical thinking in elementary

mathematics: What? Why? When? and How? [on line].

https://tc2.ca/uploads/PDFs/TIpsForTeachers/CT_elementary_math.pdf

Thomas, A., and Thorne, G. (2009). How To Increase Higher Order Thinking.

Metarie, LA: Center for Development and Learning. [on line]

hhtp://www.cdl.org/resource-library/articles/HOT .php?type= subject&i.

Tobin, K. &Tippins, D. (1993). Constructivism as a referent for teaching and

learning. In K. Tobin (Ed.), The practice of constructivism in science

education (or TPCSE, pp. 3-21). Hillsdale, NJ: Erlbaum.

Turmudi. (2008). Landasan Filsafat dan Teori Pembelajaran Matematika.

Berparadigma Eksploratif dan Investigatif. Jakarta: PT. Leuser Cita

Pustaka.

Undang-Undang Republik Indonesia Nomor 12 Tahun 2012 Tentang Pendidikan

Tinggi

Vaiyavutjamia, P., Ellerton, N. F. and Clements, M. A. (2005). Students’ attempts

to solve two elementary quadratic equations: A study in three nations. In

P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McDonagh, R. Pierce

& A. Roche (Eds.), Building connections: Research, theory and practice

(pp. 735-742). Sydney, Australia: Mathematics Education Research Group

of Australia.

http://didi-suryadi.staf.upi.edu/tulisan/

https://tc2.ca/uploads/PDFs/TIpsForTeachers/CT_elementary_math.pdf

351


van Borkulo, S.P ; van Joolingen, W.R. ; Savelsbergh, E.R. & de Jong. T. (2012).

What Can Be Learned from Computer Modeling? Comparing Expository

and Modeling Approaches to Teaching Dynamic Systems Behavior.

Journal of Science Education and Technology. 21, 267-275

Van De Wale, J.A. (2008). Elementary And Middle School Mathematics.

Terjemahan: Suyono. Jakarta: Erlangga.

Van Dooren, W; De Bock, D; Hessels, A; Janssens, D.; & Verschaffel, L. (2004).

Remedying secondary school students’ illusion of linearity: A teaching

experiment aiming at conceptual change. Learning and Instruction. 14,

(5), 485–501.

Van Harpen, X. Y., & Sriraman, B. (2013). Creativity and mathematical problem

posing: An analysis of high school students’ mathematical problem posing

in China and the USA. Educational Studies in Mathematics. 82, 201–221.

Vigotsky, L.S. (1978). Mind in Society. Cambridge: Harvard University Press.

Von Glasersfeld, E. (1990). An exposition of constructivism: Why some like it

radical. Journal for Research In Mathematics Education – Monograph 4:

19–29 & 195–210.

Wahyudin (1999). Kemampuan Guru Matematika, Calon Guru Matematika, dan

Siswa dalam Mata Pelajaran Matematika. (Disertasi). Universitas

Pendidikan Indonesia: Tidak dipublikasikan.

Wahyudin (2013). Matematika Dasar Pengetahuan Bermuatan Pedagogis.

Gagasan-Gagasan yang kuat untuk para Guru. (Interpreter: Wahyudin).

Bandung: Mandiri.

Watson, Peter. (2016). Rules of thumb on magnitudes of effect sizes. MRC

Cognition and Brain Sciences Unit. [on line]: http://imaging.mrc-

cbu.cam.ac.uk/statswiki/FAQ/effectSize.

Wijayanto, S., H. (2008). Structural Equation Modelling dengan Lisrel 8.8.

Yogyakarta: Graha Ilmu.

Wilhelm, J; Matteson, S. & She, X . (2013). Investigating Preservice Teachers’

Understanding Of Balance Concepts Utilizing A Clinical Interview

Method And A Virtual Tool. International Journal of Science and

Mathematics. 11, (5), 1209-1231.

Wu, Hung-Hsi. (2009). What’s Sophisticated about Elementary Mathematics?

American Educator Journal. FALL 2009. 4-14.

http://imaging.mrc-cbu.cam.ac.uk/statswiki/FAQ/effectSize

http://imaging.mrc-cbu.cam.ac.uk/statswiki/FAQ/effectSize

352


Yager, R. (1991). The constructivist learning model, towards real reform in science

education. The Science Teacher. 58 (6), 52-57.

Yang, S.C and Lin., W.C (2004). The relationship among creative, critical thinking

and thinking styles in Taiwan high school students. Journal of

Instructional Psychology. 31, (1), 33-45.

Yeo, J. B. W. dan Yeap, B.H. (2010). Characterising the Cognitive Processes in

Mathematical Investigation. [online]. http://www.cimt.plymouth.ac.uk/

journal/jbwyeo.pdf.

Yeo, J.B.W. dan Yeap, B.H. (2009). Mathematical Investigation : Task, Process

and Activity. [online]. http://math.nie.edu.sg/bwjyeo/Publication/.

Yuan, X., & Sriraman, B. (2011). An exploratory study of relationships between

students’ creativity and mathematical problem-posing abilities:

Comparing Chinese and U.S. students. In B. Sriraman & K. H. Lee (Eds.),

The elements of creativity and giftedness in mathematics (pp. 5-28).

Rotterdam, Netherlands: Sense Publishers.

Zeng, L., Proctor, R. W., & Salvendy, G. (2011). Can traditional divergent thinking

tests be trusted in measuring and predicting real-world creativity?

Creativity Research Journal. 23, (1), 24–37.

Zevenbergen, R. (2005). Primary pre-service teachers understandings of volume:

The impact of course and practicum experiences. Mathematics Education

Research Journal. 17, (1), 3-23.

Zohar, A. (2013) Scaling up higher order thinking in science classrooms: the

challenge of bridging the gap between theory, policy and practice.

Thinking Skills and Creativity. 10, (2013), 168–172.

http://www.cimt.plymouth.ac.uk/

http://math.nie.edu.sg/bwjyeo/Publication/

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