School reform and improvement are driven by individuals, often working alongside each other. Drawing on in-depth interviews with researchers, philanthropists, and school improvement staff in Chicago, Philadelphia, and NYC, I found that education reformers employed varying logics and strategies even as they worked toward similar goals:…

Isomorphism and homomorphism are topics central to abstract algebra, but research on mathematicians' views of these topics, especially with respect to sameness, remains limited. This study examines 197 mathematicians' views of how sameness could be helpful or harmful when studying isomorphism and homomorphism. Instructors saw benefits to…

"Geometry--Do" is a textbook about plane geometry. It will be divided into two volumes, "Geometry without Multiplication: White through Red Belt," and "Geometry with Multiplication: Blue through Black Belt. "The white- and yellow-belt chapters are neutral geometry; the remainder of "Volume One" and all of…

Digital storytelling (DST) dovetails well with facilitative teaching and is frequently lauded as an avenue to positive outcomes within and outside of educational institutions. Ascribed results include empowering marginalized voices, building community and fostering engagement, deepening cultural identity and understanding, engendering empathy, and…

Using neurodiversity as our theoretical framework, rather than a deficit or medical model, we analyze the narratives of five dyslexic research mathematicians to find common strengths and challenges for dyslexic thinkers at the highest level of mathematics. We report on 3 themes: (1) highly visual and intuitive ways of mathematical thinking; (2)…

Many students find it difficult to transition into the workforce successfully. They often accept unsuitable positions through happenstance rather than actively planning their career trajectories. This is due to their unawareness of career exploration and mapping. We use informational interviewing as an in class experiential learning assignment to…

This study is a qualitative study that seeks to analyse the awareness of primary school pre-service mathematics teachers on famous mathematicians and to examine the change in their awareness. It is designed as exploratory case study. The study group consists of 30 primary school pre-service mathematics teachers, who are senior-level students in…

Secondary mathematics pre-service teachers often have different experiences of mathematics and its teaching and learning during their initial teacher education. This paper documents the beliefs about mathematics, its teaching, and its learning, of mathematicians and mathematics educators who teach secondary mathematics pre-service teachers. The…

This is an historical and comparative paper that examines the importance of women's educational organizations across time and space and the deliberative attempts of individual members to advocate for the expansion of their professional knowledge, expertise and reach. Specifically, the historical spotlight is turned on the International Federation…

In this paper we present a model for designing professional courses in a blended learning context as a tool to help the interaction between students, teachers and learning resources. This model aims to promote new concepts, new approaches and new strategies that have been changing the paradigm of teaching and learning. To develop a course based on…

MIRELE is an interactive tabletop for situated domain learning that helps students learn names of the physical objects and their relationships by projecting the names, relationships, and additional information onto the real objects. It is built based on a camera-projector system and offers a domain-independent fast authoring system. Using the…

"It is essential that we match our methodology with the psychology of the adolescent and as this changes throughout adolescence, so should our approach." Mike Waski provides an understanding of how to approach mathematics at the adolescent level from the perspective of the developmental characteristics of the age. Sharing observations…

In this paper we propose a refinement of Michener's (1978) well-known example classification based on data from university mathematicians. The refinement takes into account the mathematician's perspective on the role of examples in doing mathematics. More specifically, our work provides insight into the ways in which mathematicians talk about…

What is entailed in doing mathematics and becoming a mathematician? Working from an autobiographical sketch and biographies of Sofya Kovalevskaya (1850-1891), the first woman generally thought to have gained a doctorate in mathematics, and using the Lacanian notion of desire, I examine the forces that shape and influence engagement with…

The reciprocal relationship between health and education has garnered increased attention among public health professionals. The evidence is clear that the level of an individual's education is related to health outcomes in adulthood and that healthier children are more likely to be academically successful than those with health issues. Unpacking…