In this article, the author describes strategies to support students in conjecturing in ways that promote their agency. Conjecturing involves justifying (i.e., a practice that promotes epistemic agency and engages students in mathematical reasoning to defend their claims; Bieda & Staples, 2020) by which a conjecture becomes proven, modified,…

"High Yield Routines 2nd Edition, Grades K-8," is an essential resource for elementary and middle school mathematics teachers seeking to enhance their instructional practices and optimize classroom time. Authored by experienced educators, this book presents effective mathematical routines designed to integrate seamlessly into everyday…

A Common Core expectation of high school mathematics students is to analyze functions using different representations. One type of function to be analyzed is piecewise-defined functions. The author has found most approaches to the study of piecewise functions to be abstract, disconnected from any context, and difficult for students to understand.…

While California Common Core State Standards in Mathematics (CA CCSSM) call for rigorous mathematics for all students, students with disabilities have not been provided equal access to instruction that meets these standards. Universal Design for Learning (UDL) is a research-based framework to develop strategic, expert learners within classroom…

While there is considerable scholarship describing principles for effective professional development, there have been few attempts to examine these principles in practice. In this paper, we identify and examine the particular design features of a mathematics professional development experience provided for middle grades teachers over 14 weeks. The…

American schools and districts shift from teaching previously adopted math standards to the Common Core State Standards for Mathematics. Previous researchers have addressed aspects of exemplary pedagogy for Common Core math standards, but much of the research to this point has lacked descriptions of specific teacher language and actions that…

This guide outlines teacher preparation, professional association, and Common Core State Standards aligned to an "interdisciplinary collaborative mathematics" approach using Junior Achievement educational programs within a Math Methods course to train pre-service elementary teachers to teach math.

When finding the decimal equivalent of a fraction with 12 in the denominator, will it terminate or repeat? This question came from a seventh grader in author Erica Burnison's class as the student was pondering a poster generated by one of her classmates. Not only was the question intriguing, but it also affirmed the belief in the power of…

Wide and persistent gaps in math achievement separate English learners from their English-proficient peers. The consequences of these gaps are severe and long lasting. Without a solid foundation in math, students are less likely to access and excel in college preparatory math and science classes in high school. Without high-level math classes in…

Raising expectations is nothing new. Every iteration of standards elevates the expectations for what students should know and be able to do. The Common Core State Standards for Mathematics (CCSSM) is no exception, with standards for content and practice that move beyond memorization of traditional algorithms to "make sense of problems and…

In this work we report on a collaborative project at a large Northeastern University, in which we explored how to best collaborate to develop interdisciplinary teaching units, which integrate intercultural citizenship (Byram, 2008) into world languages, mathematics and social studies sixth grade curricula. We argue for the importance of addressing…

Raising academic standards has been part of the education policy discourse for decades. As early as the 1990s, states and school districts attempted to raise student achievement by developing higher standards and measuring student progress according to more rigorous benchmarks. However, the caliber of the standards--and their assessments--varied…

These proceedings contain the papers of the IADIS International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2013), October 22-24, 2013, which has been organized by the International Association for Development of the Information Society (IADIS), co-organized by The University of North Texas (UNT), sponsored by the…