期刊论文
Moore, K. C., Stevens, I. E., Paoletti, T., Hobson, N. L. F., & Liang, B. (2019). Pre-service teachers’ figurative and operative graphing actions. The Journal of Mathematical Behavior. 56. http://doi.org/10.1016/j.jmathb.2019.01.008
Liang, B. & Castillo-Garsow, C. (accept pending revisions). Undergraduate students’ meanings for central angle and inscribed angle. The Mathematics Educator.
Liang, B. & Moore, K. C. (accept pending revisions). Figurative and operative partitioning activity: Characterizing a student’s meanings for amounts of change. Mathematical Thinking and Learning.
教材 (线上)
Moore, K. C., Liang, B., Tasova, H. I., Stevens, I. E. Advancing reasoning covariationally (ARC Curriculum). Athens, GA.
在审稿件
Moore, K. C., Stevens, I. E., Liang, B., Tasova, H., Castillo-Garsow, C. (under review). When graphs contain everything: Two undergraduate students’ graphing activity. International Journal of Research in Undergraduate Mathematics Education.
会议论文
Liang, B. & Moore, K. C. (accepted as long paper). Theorizing teachers’ learning of students’ mathematical thinking in the context of student-teacher interaction. Proceedings of the 14th International Congress on Mathematics Education (ICME). Shanghai, China. [PDF]
Liang, B. (2020). Theorizing teachers’ mathematical learning in the context of student-teacher interaction: A lens of decentering. Proceedings of the Twenty-Third Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. Boston, MA. [PDF]
Liang, B., Ying, Y., & Moore, K. C. (2020). A conceptual analysis for optimizing two-variable functions in linear programming. Proceedings of the Twenty-Third Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. Boston, MA. [PDF]
Moore, K. C., Liang, B., Stevens, I. E., Tasova, H. I., Paoletti, T., & Ying, Y. (2020). A quantitative reasoning framing of concept construction. Proceedings of the Twenty-Third Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. Boston, MA. [PDF]
Tasova, H., Liang, B., & Moore, K. C. (2020). The role of line and points in the construction of emergent shape thinking. Proceedings of the Twenty-Third Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. Boston, MA. [PDF]
Moore, K. C., Liang, B., Tasova, H. I., & Stevens, I. E. (2019). Abstracted quantitative structures. Proceedings of the 41st Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1879-1883). St. Louis, MO. [PDF-Long] [PDF-Short]
Liang, B. (2019). A radical constructivist model of teachers’ mathematical learning through student-teacher interaction. Proceedings of the 41st Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1814-1819). St. Louis, MO. [PDF-Long] [PDF-Short]
Liang, B. (2019). Construction and application perspective: A review of research on teacher knowledge relevant to student-teacher interaction. In Weinberg, A., Moore-Russo, D., Soto, H., & Wawro, M. (Eds.), Proceedings of the Twenty-Second Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (pp. 35-43). Oklahoma City, OK. [PDF]
Tasova. H., Liang, B., & Moore, K. C. (2019). Generalizing actions of forming: Identifying patterns and relationships between quantities. In Weinberg, A., Moore-Russo, D., Soto, H., & Wawro, M. (Eds.), Proceedings of the Twenty-Second Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (pp. 602-610). Oklahoma City, OK. [PDF]
Liang, B., Stevens, I. E., Tasova. H., & Moore, K. C. (2018). Magnitude reasoning: Characterizing a pre-calculus student’s quantitative comparison of covarying magnitudes. In T. Hodges, G. J. Roy & A. M. Tyminski (Eds.), Proceedings of the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 608-611). Greenville, NC: University of South Carolina & Clemson University. [PDF]
Liang, B. & Moore, K. C. (2018). Figurative thought and a student’s reasoning about “amounts” of change. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, and S. Brown (Eds.), Proceedings of the Twenty-First Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (pp. 271-285). San Diego, CA. [PDF]
Liang, B. & Castillo-Garsow, C. (2018). Themes in undergraduate students’ conceptions of central angle and inscribed angle. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, and S. Brown (Eds.), Proceedings of the Twenty-First Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (pp.549-556). San Diego, CA. [PDF]
Liang, B. & Moore, K. C. (2017). Reasoning with change as it relates to partitioning activity. In E. Galindo & J. Newton (Eds.), Proceedings of the 39th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 303-306). Indianapolis, IN: Hoosier Association of Mathematics Teacher Educators. [PDF]
Stevens, I. E., Paoletti, T., Moore, K. C., Liang, B. & Hardison, H. (2017). Principles for designing tasks that promote covariational reasoning. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro & S. Brown (Eds.), Proceedings of the Twentieth Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (pp. 928-936). San Diego, CA. [PDF]
会议摘要
Moore, K. C., Stevens, I. E., Liang, B., & Tasova, H. I. (2019). Concept construction and abstracted quantitative structures. In C. D. Savage, G. Benkart, B. D. Boe, M. L. Lapidus, & S. H. Weintraub. Abstracts of Papers Presented to the American Mathematical Society, 40(1), 421. [PDF]
Tasova, H. I., Liang, B., Stevens, I. E., & Moore, K. C. (2019). Characterizing two undergraduate students’ quantitative comparisons of covarying quantities’ magnitudes. In C. D. Savage, G. Benkart, B. D. Boe, M. L. Lapidus, & S. H. Weintraub. Abstracts of Papers Presented to the American Mathematical Society, 40(1), 421. [PDF]
Liang, B. & Moore, K. C. (2017). Rate of change as a feature of partitioning activity: The case of Lydia. In C. D. Savage, G. Benkart, B. D. Boe, M. L. Lapidus, & S. H. Weintraub. Abstracts of Papers Presented to the American Mathematical Society, 38(1), 462. [PDF]
Liang, B. & Castillo-Garsow, C. (2017). Pre-service secondary teachers’ understandings of central angle and inscribed angle. In C. D. Savage, G. Benkart, B. D. Boe, M. L. Lapidus, & S. H. Weintraub. Abstracts of Papers Presented to the American Mathematical Society 38(1), 465 [PDF]