In this study, we investigated prospective secondary mathematics teachers’ development of a meaning for the Cartesian form of complex numbers by examining the roots of quadratic equations through quantitative reasoning. Data included transcripts of the two sessions of classroom teaching experiments prospective teachers participated in, written artifacts from these teaching sessions, and their answers to pre-and-post written assessment questions. Results point toward prospective teachers’ improved meanings regarding the definition of complex numbers and the algebraic and geometrical meanings of the Cartesian form of complex numbers. Implications for mathematics teacher education include providing specific tasks and strategies for strengthening the knowledge of prospective and in-service teachers.
Browse
Gülseren Karagöz Akar, Merve Saraç, and Mervenur Belin
Sarah Stecher, Luke Wilcox, and Lindsey Gallas
The EFFL model empowers students to build strong conceptual understanding of mathematics through carefully designed, equity-minded activities that disrupt the traditional lecture-based classroom.
Galeet BenZion
It is June, and the academic year is over or almost over. As teachers, we are looking forward to our time away from school, which provides an excellent opportunity for reflection and gaining a fresh perspective. How can we approach our next year's instruction such that it is more accessible to the diverse student population we serve?
Sean Nank, Jaclyn M. Murawska, and Steven J. Edgar
Mathematical action technology can foster equitable student discourse. Students engage in cycles of proof to create, test, and revise conjectures through dynamic exploration of the Pythagorean theorem.
Enrique Ortiz
Two original images were inspired by the use of an art studio app for digital drawings. This artistic process could be used to help created other original art and during See-Think-Wonder routines emphasizing meaningful observations and questioning skills.
T. Royce Olarte and Sarah A. Roberts
Teachers can implement a mathematics language routine within in-person/hybrid and remote instructional contexts.
Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton
We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.
Crystal Kalinec-Craig, Emily P. Bonner, and Traci Kelley
This article describes an innovation in an elementary mathematics education course called SEE Math (Support and Enrichment Experiences in Mathematics), which aims to support teacher candidates (TCs) as they learn to teach mathematics through problem solving while promoting equity during multiple experiences with a child. During this 8-week program, TCs craft and implement tasks that promote problem solving in the context of a case study of a child’s thinking while collecting and analyzing student data to support future instructional decisions. The program culminates in a mock parent–teacher conference. Data samples show how SEE Math offers TCs an opportunity to focus on the nuances of children’s strengths rather than traditional measures of achievement and skill.
