This paper uses a series of models to illustrate one of the fundamental processes of model building--that of enrichment and elaboration. The paper describes how a problem context is given which allows a series of models to be developed from a simple initial model using a queuing theory framework. The process encourages students to think about the…

This book seeks to illustrate the research on mathematics competencies and disposition in China according to the conceptual development and empirical investigation perspective. Mathematics education in China has a distinguishing feature a focus of attention to mathematical competency. Paradoxically, there has not been an explicit, refined, and…

In this paper, I present a design case of the problem-identification process prior to the initiation of a Networked Improvement Community (NIC). A NIC is a type of research-practice partnership (RPP) that brings together researchers and practitioners to tackle complex problems of practice, and in doing so, proposes a social reorganization of the…

Detection of students' ability levels is one of the common aims in educational studies. Cognitive Diagnosis Modeling approach has been used recently for the purpose of ability level detection by defined Q-matrices. To evaluate students' strengths and weaknesses, determine their mastery skills, and design instructions and interventions in learning…

This study aimed at finding out the effect of Treffinger creative learning model with RME principles on creative thinking skills by controlling numerical ability. This study was conducted to the fifth grade students of elementary schools in Manggarai regency using post-test only control group design of experiment. This study involved 101 fifth…

Within their teacher preparation courses and field experiences, preservice teachers are introduced to numerous instructional practices, not all of which are considered research-based. For this reason, instruction in how to evaluate the effectiveness of one's practices is essential, but it is often a lacking component of initial certification…

Recent data from a cross-national assessment, the Programme for International Student Assessment (PISA), place the United States performance in mathematics at 38 out of 71 countries (OECD, 2016)--one clear indication of the ongoing need for the improvement of mathematics education. This improvement relies, in part, on improving undergraduate…

Ensure your students develop the complex, higher-order thinking skills they need to not just survive but thrive in a 21st century world. The latest edition of this best-selling guide by James A. Bellanca, Robin J. Fogarty, and Brian M. Pete details a three-phase teaching model and dives deep into how to teach seven key student proficiencies:…

The central Florida region, faced with record tourism, a large service population, and significant population growth over the next few decades, must rely on a community-based institution of higher education with lifelong learning offerings, a local community college, to create world class public safety education and training for the region.…

Collaborative problem solving (CPS) is a critical competency in a variety of contexts, including the workplace, school, and home. However, only recently have assessment and curriculum reformers begun to focus to a greater extent on the acquisition and development of CPS skill. One of the major challenges in psychometric modeling of CPS is…

Originating from interviews with mathematics colleagues, written accounts of mathematicians engaging with mathematics, and Wes's reflections on his own mathematical work, we describe a process that we call mathematical foresight: the imagining of a resolution to a mathematical situation and a path to that resolution. In a sense, mathematical…

The purpose of this study is to describe students' ability in solving mathematical representation problems evaluated from mathematical disposition. The subjects are three students of 10th grade of public senior high school (PSHS) in Padalarang, West Java, Indonesia. They were selected from 35 students with high, medium, and low mathematical…

Literature in the field of school leadership substantiates principals' influence on student achievement. Less clarity is available concerning principals' influence on school turnaround or the competencies needed for principals to effectively engage in and sustain the turnaround of low-performing schools. This study seeks to illuminate principal…

STEM education in elementary school is guided by the understanding that engineering represents the application of science and math concepts to make life better for people. The Engineering Design Process (EDP) guides the application of creative solutions to problems. Helping teachers understand how to apply the EDP to create lessons develops a…

The Mathematics Practicum has been offered at St. Olaf College for over 30 years. The Practicum is a 4-week, January Interim course where three teams of five students work on consulting problems solicited from area businesses, government agencies, and non-profit organizations. These problems have significant mathematical, statistical, and…