The use of concrete learning objects taken from the history of mathematics in mathematics education

References

• Barwell M. The advisability of including some instruction in the school course on history of mathematics. Math Gaz. 1913;7:72–79.
   Google Scholar
• Fauvel J. Using history in mathematics education. Learn Math. 1991;11(2):3–6.
   Google Scholar
• Swetz FJ. Learning activities from the history of mathematics. Portland (OR): Walch Publishing; 1994
   Google Scholar
• Ernest P. The history of mathematics in the classroom. Math School. 1998;27(4):25–31.
   Google Scholar
• Gulikers I, Blom KA. Historical angle, a survey of recent literature on the use and value of history in geometrical education. Educ Stud Math. 2001;47:223–258.
   Google Scholar
• Wilson PS, Chauvot, JB. Who? How? What? A strategy for using history to teach mathematics. Math Teach. 2000;93(8):642–645.
   Google Scholar
• Fried NM. Can mathematics education and history of mathematics coexist? Sci Educ. 2001;10:391–408.
   Google Scholar
• Tzanakis C, Arcavi A. Integrating history of mathematics in the classroom: an analytic survey. In Favuel J, Van Manen J, editors. History in mathematics education. Netherlands: Kluwer Academic Publishers; 2002. p. 201–240.
   Google Scholar
• Liu P. Do teachers’ need to incorporate the history of mathematics in their teaching? Math Teach. 2003;96(6):416–421.
   Google Scholar
• Jankvist TU. A categorization of the whys and hows of using history in mathematics education. Educ Stud Math Educ. 2009;71(3):235–261.
   Web of Science ®Google Scholar
• Bishop JP, Lamb LL, Philipp RA, et al. Obstacles and affordances for integer reasoning: an analysis of children's thinking and the history of mathematics. J Res Math Educ. 2014;45(1):19–61.
   Web of Science ®Google Scholar
• Mosvold R, Jakobsen A, Jankvist UT. How mathematical knowledge for teaching may profit from the study of history of mathematics. Sci Educ. 2014;23(1):47–60.
   Web of Science ®Google Scholar
• Katz VJ. A history of mathematics: an introduction. Boston (MA): Addison Wesley Publishers; 1998.
   Google Scholar
• Posamentier AS, Ingmar L. Magnificent mistakes in mathematics. Amherst (MA): Prometheus Books; 2013.
   Google Scholar
• Bagni G. Infinite series from history to mathematics education[Internet]. [cited 2012 Dec 15]. Available from: http://www.cimt.plymouth.ac.uk/journal/bagni.pdf
   Google Scholar
• Swetz JW. Using problems from the history of mathematics in classroom instruction. In Swetz F, Fauval J, Bekken O, et al., editors. Learn from the masters. Washington (DC): The Mathematical Association of America; 1997. p. 25–38.
   Google Scholar
• Furinghetti F, Somaglia AM. History of mathematics in school across disciplines. Math School. 1998;27(4):48–51.
   Google Scholar
• Marshall GL, Rich BS. The role of history in a mathematics class. Math Teach. 2000;93(8):704–706.
   Google Scholar
• National Council of Teachers of Mathematics. Historical topics for the mathematics classroom. Reston (VA): National Council of Teachers of Mathematics; 2006.
   Google Scholar
• Esteve RM. Understanding mathematics through its history. Proceedings of the Third ICESHS. Vienna: Austrian Academy of Sciences; 2008 Sep 10–12; Vienna, Austria.
   Google Scholar
• Meavilla V, Flores A. History of mathematics and problem solving: a teaching suggestion. Int J Math Educ Sci Technol. 2007;38(2):253–259.
   Google Scholar
• Baki A. Mathematics education from theory to practice. Ankara: Harf Eğitim Publications; 2008.
   Google Scholar
• Jankvist TU. An empirical study of using history as a ‘goal’. Educ Stud Math Educ. 2010;74(1):53–74.
   Web of Science ®Google Scholar
• Haile TK. A study on the use of history in middle school mathematics: the case of connected mathematics curriculum [PhD dissertation]. Austin (TX):University of Texas; 2008.
   Google Scholar
• Lumpkin B. Algebra activities from many cultures. Portland (ME): J. Weston Walch Publisher; 1997.
   Google Scholar
• Nooney KA. Critical question: why can't mathematics education and history of mathematics coexist? ( Article Review). Math Educ. 2002;12(1):1–5.
   Google Scholar
• Barnett JH, Lodder J, Pengelley D. The pedagogy of primary historical sources in mathematics: classroom practice meets theoretical frameworks. Sci Educ. 2014;23:7–27.
   Web of Science ®Google Scholar
• Bütüner SO. Using history of mathematics to teach volume formula of frustum pyramids: dissection method. Univ J Educ Res. 2015;3(12):1034–1048.
   Google Scholar
• Nataraj MS, Thomas MOJ. Developing understanding of number system structure from the history of mathematics. Mathe Educ Res J. 2009;21(2):96–115.
   Google Scholar
• Moyer PS. “Are we having fun yet? How teachers use manipulatives to teach mathematics”. Educ Stud Math. 2001;47:175–197.
   Google Scholar
• Leng NW. Effects of an ancient Chinese mathematics enrichment programme on secondary school students’ achievement in mathematics. Int J Sci Math Educ. 2006;4:485–511.
   Google Scholar
• Liu PH. History as a platform for developing college students’ epistemological beliefs on mathematics. Int J Sci Math Educ. 2009;7(3):473–499.
   Web of Science ®Google Scholar
• Liu P, Niess ML. An exploratory study of college students’ views of mathematical thinking in a historical approach calculus course. Math Thinking Learn. 2006;8(4):373–406.
   Google Scholar
• Lim SY, Chapman E. Effects of using history as a tool to teach mathematics on students’ attitudes, anxiety, motivation and achievement in grade 11 classrooms. Educ Stud Math. 2015;212;189–212.
   Web of Science ®Google Scholar
• Marshall GL. Using history of mathematics to improve secondary students’ attitudes toward mathematics [PhD dissertation]. Normal (IL): Illinois State University; 2000.
   Google Scholar
• Percival I. Mathematics in history: integrating the mathematics of ancient civilizations with the grade 7 social studies curriculum [dissertation]. Burnaby (BC): Simon Fraser University; 1999.
   Google Scholar
• Dickey G. A historical approach to teaching the British Columbia mathematics eight course [MA dissertation]. Burnaby (BC): Simon Fraser University; 2001.
   Google Scholar
• Tözluyurt E. The perceptions of senior high students regarding the lessons, in which activities chosen from history of mathematics are used on the subject of numbers learning area [MA dissertation]. Ankara: Gazi University; 2008.
   Google Scholar
• İdikut N. The effect of benefiting from history in education of mathematics on the student's attitudes towards mathematics and their success on it [MA dissertation]. Van: Yüzüncü Yıl University; 2007.
   Google Scholar
• Kaye E. The aims of and responses to a history of mathematics videoconferencing project for schools [Internet]. 2008 [cited 2012 Jul 1]. Available from: http://www.bsrlm.org.uk/IPs/ip28-3/BSRLM-IP-28-3-12.Pdf
   Google Scholar
• Özdemir AŞ, Yıldız SG. Using history of mathematics in the classroom: Babylonian number system. Amasya Educ J. 2015;4(1):26–49.
   Google Scholar
• Lit CK., Siu MK, Wong NY. The use of history in the teaching of mathematics: theory, practice, and evaluation of effectiveness. Educ J. 2001;29(1):17–31.
   Google Scholar
• Baki A, Güven B. Khayyam with cabri: experiences of pre-service mathematics teachers with Khayyam's solution of cubic equations in dynamic geometry environment. Teach MathAppl. 2009;28:1–9.
   Google Scholar
• Glaubitz MR. The use of original sources in the classroom. Paper presented at: Proceedings of the 5th European Summer University; 2007 Jul 19–24; Prague.
   Google Scholar
• Başıbüyük K. The use of mathematics history in mathematics courses: Ibrahim Hakkı perspective and Babylonian method sample [dissertation]. Erzurum: Atatürk University; 2012.
   Google Scholar
• Gazit A. What do mathematics teachers and teacher trainees know about the history of mathematics? Int J Math Educ Sci Technol. 2013;44(4):501–512.
   Google Scholar
• Alpaslan M, Işıksal M, Haser C. Pre-service mathematics teachers’ knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education. Sci Educ. 2014;23:159–183.
   Web of Science ®Google Scholar
• Weng KH. Using history of mathematics in the teaching and learning of mathematics in Singapore. Paper presented at: Proceedings of 1st RICE; 2008 March 10–11; Singapore.
   Google Scholar
• Panasuk RM, Horton LB. Integrating history of mathematics into curriculum: what are the chances and constraints?. Int Elect J Math Educ. 2012;7(1):3–20.
   Google Scholar
• Siu M-K. No, I don't use history of mathematics in my class: why? In Furinghetti F., Kaijser S, Tzanakis C, editors. Proceedings HPM 2004 & ESU 4 – Revised edition. Iraklion: University of Crete; 2006. p. 268–277
   Google Scholar
• Lim SY. Effects of using history of mathematics on junior college students’ attitudes and achievement [Internet]. [cited 2015 June 3]. Available from: http://www.merga.net.au/ documents/RP_SIEW.YEE.LIM_MERGA34-AAMT.pdf
   Google Scholar
• Turkish Ministry of Education. Middle school mathematics teaching program [Internet]. [cited 2012 May 3]. Available from: http://ttkb.meb.gov.tr/www/guncellenen-ogretim-programlari/icerik/151
   Google Scholar
• Baki A, Bütüner SÖ. The ways of using the history of mathematics in 6th, 7th and 8th grade mathematics textbooks. Element Educ Online. 2013;12(3):849–872.
   Google Scholar
• Fasanelli F. The political context. In Fauvel J, Van Manen J, editors. History in mathematics education. Netherlands: Kluwer Academic Publishers; 2000. p. 1–38.
   Google Scholar
• Schmid A, Weidig I. Lambacher-Schweizer. Ausgabe Sachsen: 6 [Lambacher-Schweizer. Sixth grade elementary mathematics textbook]. Schuljahr: Lösungsheft; 2003.
   Google Scholar
• Lakoma E. History of mathematics in curricula and schoolbooks: a case study of Poland. In Fauvel J, Van Manen J, editors. History in mathematics education. Netherlands: Kluwer Academic Publishers; 2000. p.19–29.
   Google Scholar
• Komisyon. Mathematics 6 student textbook. Ankara: Ministry of Education Publications; 2011.
   Google Scholar
• Aygün ÇS, Aynur N, Çuha SS, et al. Mathematics 7 student textbook. Ankara: Ministry of Education Publications; 2011.
   Google Scholar
• Aygün ÇS, Aynur N, Çoşkuntürk N, et al. Mathematics 8 student textbook. Ankara: Ministry of Education Publications; 2011.
   Google Scholar
• Van De Walle JA, Karp KS, Bay-Williams JM. Elementary and middle school mathematics: teaching developmentally. 7th ed. Toronto: Pearson Allyn and Bacon; 2013.
   Google Scholar
• Bayam SB. The impact of knowledge of the history of mathematics on primary school student mathematics achievement and attitudes [MA dissertation]. Kastamonu: Kastamonu University; 2012.
   Google Scholar
• Kara Y, Koca AÖ. The application of discovery learning and meaningful learning approaches in mathematics classes: two lesson plans on the square of addition of two terms. Element Educ Online. 2004;3(1):2–10.
   Google Scholar
• Reimer W, Reimer L. Historical connections in mathematics. Washington (DC): The Mathematical Association of America; 1992.
   Google Scholar
• Wang Y. Hands on mathematics: two cases from ancient Chinese mathematics. Sci Educ. 2009;18:631–640.
   Web of Science ®Google Scholar
• Bogdan RC, Biklen SK. Qualitative research for education: an introduction to theory and methods. Needham Heights (MA): Allyn & Bacon; 1998.
   Google Scholar
• Creswell J. Research design: qualitative, quantitative, and mixed methods approaches. 2nd ed. Thousand Oaks (CA): Sage; 1998.
   Google Scholar
• Miles MB, Huberman AM. Qualitative data analysis: an expanded sourcebook. 2nd ed. Thousand Oaks (CA): Sage; 1994.
   Google Scholar
• Yıldırım A, Şimşek H. Quantitative research methods in social sciences. 9th ed. Ankara: Seckin Publishing; 2013.
   Google Scholar
• Field A. Discovering statistics using IBM SPSS Statistics. New York (NY): Sage Publications; 2013.
   Google Scholar
• Goodwin DM. Exploring the relationship between high school teachers’ mathematics history knowledge and their images of mathematics [PhD dissertation]. Lowell (MA):University of Massachusetts; 2007.
   Google Scholar
• Horton LB, Panasuk RM. Raising awareness the history of mathematics in high school curriculum. Int J Humanities Soc. 2011;1(16):37–46.
   Google Scholar
• Smestad, B. Teachers' conceptions of history of mathematics 2014. Available from: http://www. researchgate.net/publication/263733702_Teachers'_conceptions_of_history_of_mathematics
   Google Scholar