Eurasia Journal of Mathematics, Science and Technology Education

• Bitzenbauer, P., & Meyn, J. P. (2021). Fostering students’ conceptions about the quantum world–results of an interview study. Progress in Science Education, 4(2), 40-51. https://doi.org/10.25321/prise.2021.1079
• Bosch, S. (2004). Algebra. Springer. https://doi.org/10.1007/978-3-662-05645-5
• Christy, D., & Sparks, R. (2015). Abstract algebra to secondary school algebra: Building bridges. Journal of Mathematics Education at Teachers College, 6(2), 37-42. https://doi.org/10.7916/jmetc.v6i2.617
• Cook, J. P. (2018). Monster-barring as a catalyst for bridging secondary algebra to abstract algebra. In N. Wasserman (Ed.), Connecting abstract algebra to secondary mathematics, for secondary mathematics teachers (pp. 47-70). Springer. https://doi.org/10.1007/978-3-319-99214-3_3
• Dummit, D. S., & Foote, R. M. (2003). Abstract algebra. John Wiley & Sons, Inc.
• Even, R. (2011). The relevance of advanced mathematics studies to expertise in secondary school mathematics teaching: Practitioners’ views. ZDM Mathematics Education, 43, 941-950. https://doi.org/10.1007/s11858-011-0346-1
• Freeman, C. M. (2010). Hands-on geometry–Constructions with a straightedge and compass (grades 4-6). Routledge.
• Gueron, S., & Kounavis, M. (2010). Efficient implementation of the Galois counter mode using a carry-less multiplier and a fast reduction algorithm. Information Processing Letters, 14-15, 549-553. https://doi.org/10.1016/j.ipl.2010.04.011
• Larsen, S. (2010). Struggling to disentangle the associative and commutative properties. For the Learning of Mathematics, 30(1), 37-42.
• Larsen, S. (2013). A local instructional theory for the guided reinvention of the group and isomorphism concepts. The Journal of Mathematical Behavior, 32(4), 712-725. https://doi.org/10.1016/j.jmathb.2013.04.006
• Larsen, S., & Lockwood, E. (2013). A local instructional theory for the guided reinvention of the quotient group concept. The Journal of Mathematical Behavior, 32(4), 726-742. https://doi.org/10.1016/j.jmathb.2013.02.010
• Larsen, S., Johnson, E., & Bartlo, J. (2013). Designing and scaling up an innovation in abstract algebra. The Journal of Mathematical Behavior, 32(4), 693-711. https://doi.org/10.1016/j.jmathb.2013.02.011
• Leuders, T. (2016). Subject matter analysis with a perspective on teacher education–The case of Galois theory as a theory of symmetry. Journal für Mathematikdidaktik [Journal for Mathematics Didactics], 37, 163-191. https://doi.org/10.1007/s13138-016-0099-z
• McGrew, D., & Viega, J. (2004). The security and performance of the Galois/counter mode (GCM) of operation. In A. Canteaut, & K. Viswanathan (Eds.), Progress in cryptology–INDOCRYPT 2004 (pp. 343-355). Springer. https://doi.org/10.1007/978-3-540-30556-9_27
• Melhuish, K., & Fagan, J. (2018). Connecting the group theory concept assessment to core concepts at the secondary level. In N. Wasserman (Ed.), Connecting abstract algebra to secondary mathematics, for secondary mathematics teachers (pp. 19-45). Springer. https://doi.org/10.1007/978-3-319-99214-3_2
• Murray, E., Baldinger, E., & Wasserman, N. H. (2017). Connecting advanced and secondary mathematics. IUMPST: The Journal, 1.
• Nardi, E. (2000). Mathematics undergraduates’ responses to semantic abbreviations, ‘geometric’ images and multi-level abstractions in group theory. Educational Studies in Mathematics, 43(2), 169-189. https://doi.org/10.1023/A:1012223826388
• Schreck, P. (2019). On the mechanization of straightedge and compass constructions. Journal of Systems Science and Complexity, 32, 124-149. https://doi.org/10.1007/s11424-019-8347-1
• Shamash, J., Barabash, M., & Even, R. (2018). From equations to structures: Modes of relevance of abstract algebra to school mathematics as viewed by teacher educators and teachers. In N. Wasserman (Ed.), Connecting abstract algebra to secondary mathematics, for secondary mathematics teachers (pp. 241-262). Springer. https://doi.org/10.1007/978-3-319-99214-3_12
• Sibgatullin, I. R., Korzhuev, A. V., Khairullina, E. R., Sadykova, A. R., Baturina, R. V., & Chauzova, V. (2022). A systematic review on algebraic thinking in education. EURASIA Journal of Mathematics, Science and Technology Education, 18(1), em2065. https://doi.org/10.29333/ejmste/11486
• Stewart, I. (2003). Galois theory. Chapman & Hall.
• Suominen, A. L. (2018). Abstract algebra and secondary school mathematics connections as discussed by mathematicians and mathematics educators. In N. Wasserman (Ed.), Connecting abstract algebra to secondary mathematics, for secondary mathematics teachers (pp. 149-173). Springer. https://doi.org/10.1007/978-3-319-99214-3_8
• Veith, J. M., & Bitzenbauer, P. (2022). What group theory can do for you: From magmas to abstract thinking in school mathematics. Mathematics, 10(5), 703. https://doi.org/10.3390/math10050703
• Veith, J. M., Bitzenbauer, P., & Girnat, B. (2022a). Assessing learners’ conceptual understanding of introductory group theory using the CI²GT: Development and analysis of a concept inventory. Education Sciences, 12(6), 376. https://doi.org/10.3390/educsci12060376
• Veith, J. M., Bitzenbauer, P., & Girnat, B. (2022b). Exploring learning difficulties in abstract algebra: The case of group theory. Education Sciences, 12(8), 516. https://doi.org/10.3390/educsci12080516
• Veith, J. M., Bitzenbauer, P., & Girnat, B. (2022c). Towards describing student learning of abstract algebra: Insights into learners’ cognitive processes from an acceptance survey. Mathematics, 10(7), 1138. https://doi.org/10.3390/math10071138
• Wasserman, N. H. (2014). Introducing algebraic structures through solving equations: Vertical content knowledge for K-12 mathematics teachers. PRIMUS, 24(3), 191-214. https://doi.org/10.1080/10511970.2013.857374
• Wasserman, N. H. (2018). Exploring advanced mathematics courses and content for secondary mathematics teachers. In N. Wasserman (Ed.), Connecting abstract algebra to secondary mathematics, for secondary mathematics teachers (pp. 1-15). Springer. https://doi.org/10.1007/978-3-319-99214-3_1
• Weintraub, S. H. (2008). Galois theory. Springer. https://doi.org/10.1007/978-0-387-87575-0
• Yan, X., & Marmour, O. (2022). Advanced mathematics for secondary school teachers: Mathematicians’ perspective. International Journal of Science and Mathematics Education, 20, 553-573. https://doi.org/10.1007/s10763-020-10146-x
• Zaslavsky, O., & Peled, I. (1996). Inhibiting factors in generating examples by mathematics teachers and student teachers: The case of binary operation. Journal for Research in Mathematics Education, 27, 67-78. https://doi.org/10.2307/749198

APA

Veith, J. M., Girnat, B., Winkler, B., Becker, E., Becher, R., & Bitzenbauer, P. (2024). How do pre-service teachers view Galois theory? A questionnaire study. Eurasia Journal of Mathematics, Science and Technology Education, 20(1), em2389. https://doi.org/10.29333/ejmste/14120

Vancouver

Veith JM, Girnat B, Winkler B, Becker E, Becher R, Bitzenbauer P. How do pre-service teachers view Galois theory? A questionnaire study. EURASIA J Math Sci Tech Ed. 2024;20(1):em2389. https://doi.org/10.29333/ejmste/14120

AMA

Veith JM, Girnat B, Winkler B, Becker E, Becher R, Bitzenbauer P. How do pre-service teachers view Galois theory? A questionnaire study. EURASIA J Math Sci Tech Ed. 2024;20(1), em2389. https://doi.org/10.29333/ejmste/14120

Chicago

Veith, Joaquin Marc, Boris Girnat, Bianca Winkler, Eleonore Becker, Richard Becher, and Philipp Bitzenbauer. "How do pre-service teachers view Galois theory? A questionnaire study". Eurasia Journal of Mathematics, Science and Technology Education 2024 20 no. 1 (2024): em2389. https://doi.org/10.29333/ejmste/14120

Harvard

Veith, J. M., Girnat, B., Winkler, B., Becker, E., Becher, R., and Bitzenbauer, P. (2024). How do pre-service teachers view Galois theory? A questionnaire study. Eurasia Journal of Mathematics, Science and Technology Education, 20(1), em2389. https://doi.org/10.29333/ejmste/14120

MLA

Veith, Joaquin Marc et al. "How do pre-service teachers view Galois theory? A questionnaire study". Eurasia Journal of Mathematics, Science and Technology Education, vol. 20, no. 1, 2024, em2389. https://doi.org/10.29333/ejmste/14120