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.
Exploring Prospective Teachers’ Development of the Cartesian Form of Complex Numbers
Gülseren Karagöz Akar, Merve Saraç, and Mervenur Belin
Building Coherence and Progression on Sound Frameworks
Travis Lemon and Scott Hendrickson
A robust framework can support teachers and their students’ learning.
Using Series to Construct Pythagorean Triples
Darien DeWolf and Balakrishnan Viswanathan
This article provides a series-focused approach to computing Pythagorean triples.
Are We Preparing Agents of Change or Instruments of Inequity? Teaching Toward Antiracist Mathematics Teacher Education
Joel Amidon, Anne Marie Marshall, and Rebecca E. Smith
The authors began this work with the understandings that (a) there is no “neutral” when it comes to the teaching of mathematics, and (b) mathematics teacher educators need to do something to help produce teachers of mathematics that develop students’ relationships with mathematics and push against the inequities that exist both within and outside of the classrooms in which they will teach. In response, the authors created, deployed, and studied a learning module in an attempt to enact antiracist mathematics teacher education. The learning module activities, the findings about the learning from the prospective teachers who engaged in the module, and messages for mathematics teacher educators who want to engage in this work are shared.
Teaching Is a Journey: What Did I Really Mean?
This department provides a space for current and past PK-12 teachers of mathematics to connect with other teachers of mathematics through their stories that lend personal and professional support.
“Reflections on High-Quality Math Instruction”
Blake E. Peterson, Douglas L. Corey, Benjamin M. Lewis, Jared Bukarau, and Introduction by: Wendy Cleaves
From the Archives highlights articles from NCTM’s legacy journals, previously discussed by the MTLT Journal Club.
GPS: Iterating and Partitioning
Daniel K. Siebert and Monica G. McCleod
Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.
Mathematical Wonders and Reasons Abound in the Seasons
Mathematics abounds in the beauty of the seasons. Where you live, work, or travel, how do you engage with and explore the wonders of math in our natural world?
Symbiosis: Social and Emotional Learning & Mathematics Learning
Ruthmae Sears, Jennifer Bay-Williams, James C. Willingham, and Amanda Cullen
Social and Emotional Learning and the Standards for Mathematical Practice have a mutually beneficial relationship and develop mathematically proficient and confident students.
Math Chat Opportunities Abound!
This article describes how fortuitous mathematical moments should be noticed, encouraged, embraced, and capitalized upon.