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2018 - Volume 2 - Number 1


An Analysis of School Mathematics Textbooks in Terms of Their Pedagogical Orientation

Konstantina Gene * konstantina-gk@hotmail.com * ORCID: 0000-0003-0172-0504 * ResearcherID: K-6597-2018
Researcher and Primary School Teacher

Konstantinos Zacharos * zacharos@upatras.gr * ORCID: 0000-0001-7052-967X * ResearcherID: K-4878-2018
University of Patras, Department of Educational Sciences and Early Childhood Education

Konstantinos Lavidas * lavidas@upatras.gr * ORCID: 0000-0003-2225-1137 * ResearcherID: F-2886-2018
University of Patras, Department of Educational Sciences and Early Childhood Education

Gerasimos Koustourakis * koustourakis@upatras.gr * ORCID: 0000-0001-8499-5399 * ResearcherID: K-0000-0000
University of Patras, Department of Educational Sciences and Early Childhood Education

Open Journal for Educational Research, 2018, 2(1), 1-18 * https://doi.org/10.32591/coas.ojer.0201.01001g
Online Published Date: 17 July 2018

LICENCE: Creative Commons Attribution 4.0 International License.

ARTICLE (Full Text - PDF)


KEY WORDS: mathematics education, mathematics textbooks, cross-thematic approach.

ABSTRACT:
This study aims to analyse the content of school Mathematics textbooks, based on whether they are cross-thematic in character, or not. In other words, it examines the connection of the mathematics content to knowledges drawn from other school subjects, something that is promoted as much by the curricula of Greek compulsory education, as by the institutional agencies of the European Union, in their attempt to formulate community education policy for the shaping of school knowledge. More specifically, in this research school mathematics textbooks from two consecutive Greek school grades, in which the pupils are between 12 and 13 years old approximately, and which are linked to the transition from primary to secondary education, are examined. The content analysis method was used for the approach to the research material. The results of this study revealed that Greek school textbooks do, to a small extent, achieve the pedagogical goal of a cross-thematic approach to knowledge, linking mathematics to other subjects on the curricula of Greek compulsory education.

CORRESPONDING AUTHOR:
Konstantinos Zacharos, Department of Educational Sciences and Early Childhood Education, University of Patras, GREECE. E-mail: zacharos@upatras.gr.


REFERENCES:

Alahiotis, S. N., & Karatzia-Stavlioti, E. (2006). Effective curriculum policy and cross-curricularity: Analysis of the new curriculum design of the Hellenic Pedagogical Institute. Pedagogy, Culture and Society, 14(2), 119-147. DOI: 10.1080/14681360600738277.

Baker, D., Knipe, H., Collins, J., Leon, J., Cummings, E., Blair, C., & Gamson, D. (2010). One hundred years of elementary school mathematics in the United States: A content analysis and cognitive assessment of textbooks from 1900 to 2000, Journal for Research in Mathematics Education, 41(4), 383-423.

Ball, D. L., & Feiman-Nemser, S. (1988). Using textbooks and teachers’ guides: A dilemma for beginning teachers and teacher educators. Curriculum Inquiry, 18(4), 401-423.

Bernstein, B. (1991). Pedagogic codes and social control. Athens: Alexandria (in Greek).

Bernstein, B. (2000) Pedagogy, symbolic control and identity. Theory, research, critique (Revised Edition). Lanham, Rowman & Littlefield Publishers Inc.

Björklund, C., & Ahlskog-Björkman, E. (2017). Approaches to teaching in thematic work: early childhood teachers’ integration of mathematics and art. International Journal of Early Years Education, 25(2), 98-111.

Boyle, B., & Bragg, J. (2008). Making primary connections: The cross-curriculum story. The Curriculum Journal, 19(1), 5-21.

Cedefop (2008). Terminology of European education and training policy — A selection of 100 key terms. Luxembourg: Office for Official Publications of the European Communities.

Commission of the European Communities (2000). Designing tomorrow’s education promoting innovation with New Technologies. COM(2000) 23 final. Brussels, 27-1-2000.

Darragh, L. (2013). Constructing confidence and identities of belonging in mathematics at the transition to secondary school. Research in Mathematics Education, 15(3), 215-229.

Dole, S., & Shield, M. J. (2008) The capacity of two Australian eighth-grade textbooks for promoting proportional reasoning. Research in Mathematics Education, 10(1), 19-35.

Dowling, P. (1998). The Sociology of mathematics education. Mathematical myths/Pedagogic Texts. London: Falmer Press.

Dowling, P. (2002). Reading mathematics texts. In P. Gates (Ed.), Issues in Mathematics Teaching (180-196). London: Routledge.

European Council (2009). Strategic framework for European cooperation in education and training (ET 2020). Conclusions of 12 May 2009a. (Official Journal, C 119, 28/5/2009).

Fan, L. (2013). Textbook research as scientific research: towards a common ground on issues and methods of research on mathematics textbooks. ZDM: The International Journal on Mathematics Education, 45(3), 765-777.

Fan, L., & Kaeley, G. S. (2000). The influence of textbooks on teaching strategies: An empirical study. Mid-Western Educational Researcher, 13(4), 2-9.

Fan, L., & Zhu, Y. (2000). Problem solving in Singaporean secondary mathematics textbooks. The Mathematics Educator, 5(1/2), 117-141.

Fan, L., & Zhu, Y. (2007). Representation of problem-solving procedures: A comparative look at China, Singapore, and US mathematics textbooks. Educational Studies in Mathematics, 66(1), 61-75.

Fan, L., Zhu, Y. & Miao, Z. (2013). Textbook research in mathematics education: development status and directions. ZDM: The International Journal on Mathematics Education, 45(5), 633-646.

Grouws, D. A., Smith, M. S., & Sztajn, P. (2004). The preparation and teaching practices of U.S. mathematics teachers: Grades 4 and 8. In P. Kloosterman, & F. K. Lester (Eds.), Results and interpretations of the 1990 through 2000 mathematics assessments of the National Assessment of Educational Progress (221-269). Reston, VA: National Council of Teachers of Mathematics.

Harris, V., & Grenfell, M. (2004). Language-learning strategies: A case for cross-curricular collaboration, Language Awareness, 13(2), 116-130.

Johansson, M. (2003). Textbooks in mathematics education: A study of textbooks as the potentially implemented curriculum (Licentiate thesis). (Lule: Department of Mathematics, Lule, University of Technology).

Kassoti, O., Kliapis, P., & Oikonomou, Th. (2014a). Mathematics for the 6th grade. Student’s Book. ΟΕDV: Athens (in Greek).

Kassoti, O., Kliapis, P., & Oikonomou, Th. (2014b). Mathematics for the 6th Grade. Student’s workbook a, b, c, & d. ΟΕDV: Athens (in Greek).

Koustourakis, G. (2007). The new educational policy for the reform of the curriculum and the change of school knowledge in the case of Greek compulsory education. International Studies in Sociology of Education, 17(1/2), 131-146.

Koustourakis, G. (2012). A sociological approach of the art curriculum in Greek primary education: The subject’s social status in the intended and implemented curriculum. The International Journal of the Arts in Society, 6(6), 31-41.

Koustourakis, G., & Zacharos, K. (2011). Changes in school mathematics knowledge in Greece: A Bernsteinian analysis. British Journal of Sociology of Education, 32(3), 369-387.

Mesa,V. (2004). Characterizing practices associated with functions in middle school textbooks: An empirical approach. Educational Studies in Mathematics, 56, 255-286.

Ministry of National Education and Religious Affairs (2003). A Cross-thematic curriculum framework for compulsory education. Government Paper 303 & 304/13-3-2003 (http://www.pi-schools.gr/download/programs/depps/english/3rd_b.pdf).

Morais, A. M., Neves, I. P., & Fontinas, F. (1999). Is there any change in science educational reforms? A sociological study of theories of instruction. British Journal of Sociology of Education, 20(1), 37-53.

Morgan, C., Tsatsaroni, A., & Lerman, S. (2002). Mathematics teacher’s positions and practices in discourses of assessment. British Journal of Sociology of Education, 23(3), 445-461.

Oates, T. (2011). Could do better: Using international comparisons to refine the National Curriculum in England. Curriculum Journal, 22(2), 121-150.

Pepin, B., & Haggarty, L. (2001). Mathematics textbooks and their use in English, French and German classrooms: A way to understand teaching and learning cultures. Zentralblatt for the Didactics of Mathematics, 33(5), 158-175.

Pepin, B., Gueudet, G., & Trouche, L. (2013). Investigating textbooks as crucial interfaces between culture, policy and teacher curricular practice: Two contrasted case studies in France and Norway. ZDM, The International Journal on Mathematics Education, 45(5), 685-698.

Pickle, M. C. C. (2012). Statistical content in middle grades mathematics textbooks. USA, University of South Florida. (Unpublished doctoral dissertation).

Reid, A., & Scott, W. (2005). Cross-curricularity in the national curriculum: Reflections on metaphor and pedagogy in citizenship education through school geography. Pedagogy, Culture and Society, 13(2), 181-204.

Remillard, J. T. (2005). Examining key concepts in research on teachers’ use of mathematics curricula. Review of Educational Research, 75(2), 211-246.

Ross, A. (2000). Curriculum. Construction and critique. London and New York: Falmer Press.

Roth McDuffie, A., & Mather, M., (2007). Reification of instructional materials as part of the process of developing problem‐based practices in mathematics education. Teachers & Teaching: Theory & Practice, 12(4), 435-459.

Schmidt, W. H., Jorde, D., Cogan, L. S., Barrier, E., Gonzalo, I., Moser, U., Shimizu, K., Sawada, T., Valverde, G., McKnight, C., Prawat, R., Wiley, D. E., Raizen, S., Britton, E. D., & Wolfe, R. G. (1996). Characterizing pedagogical flow: An investigation of mathematics and science teaching in six countries. Dordrecht: Kluwer.

Schmidt, W. H., McKnight, C. C., Valverde, G. A., Houang, R. T., & Wiley, D. E. (1997). Many visions, many aims: A cross-national investigation of curricular intentions in school mathematics (Vol. 1). Dordrecht: The Netherlands: Kluwer.

Stacey, K. & Vincent, J. (2009). Modes of reasoning in explanations in Australian eighth-grade mathematics textbooks. Educational Studies in Mathematics, 72(3), 271-288.

Stylianides, G. J. (2009). Reasoning-and-proving in school mathematics textbooks. Mathematical Thinking and Learning, 11(4), 258-288.

Sun, X. (2011). ‘‘Variation problems’’ and their roles in the topic of fraction division in Chinese mathematics textbook examples. Educational Studies in Mathematics, 76(1), 65-85.

The European Parliament and the Council of the European Union (2006). Recommendations of the European Parliament and of the Council of 18 December 2006 on key competences for lifelong learning (2006/962/EC) (Official Journal of the European Union. 30.12.2006).

Thompson, D. R, Senk, S. L., & Johnson, J. (2012). Opportunities to learn reasoning and proof in high school mathematics textbooks. Journal for Research in Mathematics Education, 43(3), 253-295.

Valverde, G. A., Bianchi, L. J., Wolfe, R. G., Schmidt, W. H., & Houang, R. T. (2002). According to the book: Using TIMSS to investigate the translation of policy into practice through the world of textbooks. Dordrecht, Netherlands: Kluwer.

Vandoulakis, I., Kalligas, Ch., Markakis, N., & Ferentinos, Sp. (2012). Mathematics for the 1rst grade of gymnasium. Student’s Book.  ΟΕDV: Athens (In Greek).

Whitty, G., Rowe, G., & Aggleton, P. (1994). Discourse in cross‐curricular contexts: Limits to empowerment. International Studies in Sociology of Education, 4(1), 25-42.

Zacharos, K., Koustourakis, G., & Papadimitriou, K. (2014). Analysing the implemented curriculum of Mathematics in Preschool Education. Mathematics Education Research Journal, 26(2), 151-167.

Zhu, Y., & Fan, L. (2002). Textbook use by Singaporean mathematics teachers at lower secondary level. In: D. Edge, & Y. B. Har (Eds.) Mathematics education for a knowledge-based era, Vol. 2 (pp. 194-201). Singapore: AME.

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