Students in grades 3 and 4 attending a traditional public elementary school in a northeastern state did not meet proficiency levels in mathematics as measured by the state's assessment system. Published reports indicated that students attending the Montessori programs were more proficient in solving math problems compared to students in…

The aim of this paper is to present and discuss some of the evidence regarding the resources that students use when they establish relationships between a contextual situation and an ordinary differential equation (ODE). We present research results obtained from work by seven students in a graduate level course in mathematics education, where they…

The use of collaborative problem solving within mathematics education is imperative in this day and age of integrative science. The formation of interdisciplinary teams of mathematicians and scientists to investigate crucial problems is on the rise, as greater insight can be gained from an interdisciplinary perspective. Mathematical modelling, in…

Teachers who participated in a recent summer institute focused on implementing the Common Core State Standards for Mathematics (CCSSM). Throughout the summer institute, teachers had many in-depth discussions about the meanings they attributed to the Standards for Mathematical Practice (SMPs). In this article, the authors share some of the…

The purpose of this research is to develop mathematical learning models that accommodate the cognitive styles reflective vs. impulsive students to build problem-solving skills, quality (valid, practical, and effective). To achieve the target would do research development (development research) and method development that consists of five stages,…

This research aims to 1) develop the project-based learning using discussion and lesson-learned methods via social media model (PBL-DLL SoMe Model) used for enhancing problem solving skills of undergraduate in education student, and 2) evaluate the PBL-DLL SoMe Model used for enhancing problem solving skills of undergraduate in education student.…

Most current approaches to improving teaching and learning in American public schools rely on either market pressures or bureaucratic controls to leverage performance. In this article, however, authors Joshua Glazer and Donald Peurach examine occupational control as a third approach, whereby the internalization of norms, technical language, and…

This article describes the evolution of the Charlotte Action Research Project (CHARP), a community-university partnership founded in 2008 at the University of North Carolina at Charlotte, and focuses particularly on the program's unique organizational structure. Research findings of a project evaluation suggest that the CHARP model's unique…

Sustainability education is a growing field within higher education that fosters personal and intellectual engagement with the interconnected tensions of pressing social, ecological, economic, and political issues. Sustainability education aims to prepare learners to become creative problem solvers and active citizens who understand the…

This paper describes a model for building cognition-and-instruction-based goal trajectories (GT) in the context of a study that examines the validity of curriculum-embedded assessments. The model consists of six design processes and two constraints. The GT is constructed from curriculum-specified learning goals as well as developmental…

Many, if not most, of my colleagues believe that human performance technology (HPT) can never become a science; they do not even believe that it should be. I cannot come to that conclusion. If not a full-fledged science, then we should strive for at least a soft science that is more consistent and accepted in business than is certainly the case…

Humans routinely make inductive generalizations about unobserved features of objects. Previous accounts of inductive reasoning often focus on inferences about a single object or feature: accounts of causal reasoning often focus on a single object with one or more unobserved features, and accounts of property induction often focus on a single…

Herein, we describe an effective and tested model of a week-long summer science intensive program for high school students that aimed to elaborate on concepts covered in a high school chemistry or biology course, and to provide high school students an opportunity to learn about studying and pursuing careers in the sciences. The program was…

This article explores integrating place-based education with critical mathematics toward teaching mathematics for spatial justice. "Local Lotto," a curricular module with associated digital tools, was designed to investigate the lottery as a critical spatial phenomenon and piloted in urban high schools. This article describes findings…

How should a wide variety of educational activities be sequenced to maximize student learning? Although some experimental studies have addressed this question, educational data mining methods may be able to evaluate a wider range of possibilities and better handle many simultaneous sequencing constraints. We introduce Sequencing Constraint…