This paper investigates how mathematics teachers describe their ethical decision making related to instructional practices, drawing on frameworks that incorporate both rational and non-rational approaches. We employed a multiple-case study method, selecting three teachers as cases through criterion sampling. Data were collected via four…

The rapid development of education informatization has accumulated a large amount of data for learning analytics, and adopting educational data mining to find new patterns of data, develop new algorithms and models, and apply known predictive models to the teaching system to improve learning is the challenge and vision of the education field in…

This paper describes the effects of workers' investments in their own education in light of the complementarity the Acemoglu (1997) and Redding (1996) showed to exist between R&D and education investments. Despite the different investment efforts that economies pour into their economies, many developing, and least developed countries are…

The relationships between mathematics, mathematics education and issues such as social justice and equity have been addressed by the sociopolitical tradition in mathematics education. Others have introduced explicit discussion of ethics, advocating for its centrality. However, this is an area that is still under developed. There is a need for an…

The goal of this paper is to present a framework of researcher knowledge development in conducting a study in mathematics education. The key components of the framework are: knowledge germane to conducting a particular study, processes of knowledge accumulation, and catalyzing filters that influence a researcher's decision making. The components…

Research in mathematics education has investigated teachers' professional knowledge in depth, comprising two different approaches: a cognitive and a situated perspective. Linking these two perspectives leads to addressing situation-specific skills such as perception, interpretation and decision-making, indicative of revealing a teacher's knowledge…

Theories of rational choice often make the structural consistency assumption that every decision maker's binary strict preference among choice alternatives forms a "strict weak order". Likewise, the very concept of a "utility function" over lotteries in normative, prescriptive, and descriptive theory is mathematically equivalent to strict weak…

This work is about analyzing games as models of systems. The goal is to understand the techniques that have been used by game designers in the past, and to compare them to the study of mathematical game theory. Through the study of a system or concept a model often emerges that can effectively educate students about making intelligent decisions…

A group of mathematicians and mathematics educators are collaborating in the fine-grained examination of selected "slices" of video recordings of lectures, drawing on Schoenfeld's Resources, Orientations and Goals framework of teaching-in-context. In the larger project, we are exploring ways in which this model can be extended to examine…

Educational standards alignment, which matches similar or equivalent concepts of educational standards, is a necessary task for educational resource discovery and retrieval. Automated or semi-automated alignment systems for educational standards have been recently available. However, existing systems frequently result in inconsistency in…

In this paper we present a model of collaborative evaluation that has been used to engage teachers in data-based decision making for improving teaching and learning in mathematics and science. We examine three external challenges that threaten the process of continuous school improvement; namely, making sense of data, policy changes, and…

This article examines motivational potentialities in remedial mathematics education within an ethical context, applying a model for ethical decision making in education developed by Shapiro and Stefkovich, in which three broad ethical categories are discussed: the ethic of justice, the ethic of care, and the ethic of critique. These ethical…

This study sought to determine the relative influence that mathematicians and educators exert on prospective teachers' decisions about projected classroom decisions. A model was presented and tested with 61 preservice secondary school mathematics teachers. Both groups were found to exert a significant influence, but no differential effect between…

Compares the decisions facing teachers in current reform proposals to decisions made by teachers participating in the Madison Project in the 1960s. Discusses teaching methods utilized, lesson planning, and teacher/student interactions. Reports Madison Project teacher's responses to interview transcripts of the tutoring project at Berkeley,…

Presents a model that relates Polya's ideas on problem solving to teaching practices that help create a mathematics learning environment in which students are actively involved in doing mathematics. Illustrates the model utilizing a high school geometry problem that asks students to measure the width of a river. (MDH)