Many students have a dominant part-whole conception of fractions. We examine why this is problematic and explore strategies to move students beyond this limitation.
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Beware of “Gaps” in Students’ Fraction Conceptions
Patrick L. Sullivan, Joann E. Barnett, and Kurt Killion
Making Black Girls Count in Math Education
Nicole M. Joseph
The author shares an experience she had as a mathematics learner, which became the catalyst for her work as a mathematics education researcher. She discusses the issues that Black girls face in our math classrooms and offers potential solutions for partnering with Black girls.
Adapt It! Adapting Stories and Technology for Engagement in Geometry
Karen L. Terrell, Dennis J. DeBay, and Valerie J. Spencer
A task to develop and provide access to mathematics for all.
Construct It! Triangle Puzzle Challenges
Enrique Ortiz
This article presents an original puzzle that supports students’ development of visual thinking and geometry ideas based on the Van Hiele levels of geometric thought.
Model It! Building and Sustaining Cultural Traditions with Ethnomodeling
Siddhi Desai and Farshid Safi
This geometric transformation-focused ethnomodeling respects individual and collective community experiences and moves toward educational experiences that acknowledge and celebrate the multidimensional aspects related to identity.
Exploring Prospective Teachers’ Development of the Cartesian Form of Complex Numbers
Gülseren Karagöz Akar, Merve Saraç, and Mervenur Belin
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.
Experience First, Formalize Later
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.
Summer Is in the Air
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?
It’s Off the Screen: Unearthing Megagons Through Technology
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.
See, Think, and Wonder Geoboard Art
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.