Linear quantity models such as pre-tapes, tape diagrams, and number line diagrams have drawn increasing attention in mathematics education around the world. However, we still know relatively little about how teachers actually use these models in the classroom. This study explores how exemplary US and Chinese elementary teachers use linear quantity…

The Teen Excellence in Leadership Institute (TELI) was created to provide meaningful leadership and civic-engagement experiences to teens. We integrated Chickering's Theory of Identity Development and the 4-H Citizenship Framework to develop program objectives and a model, consisting of four components: understanding of self, developing a network,…

Algebra is considered an important high school course because it is recognized as the gateway to higher mathematics, college opportunities, and well-paying jobs. In the United States, most secondary schools require students to be proficient in algebra to be able to graduate from high school. One major component of algebra is word problem solving,…

Collaborative problem solving (CPS) is an essential 21st century skill at the intersection of social collaboration and cognitive problem solving, and is increasingly integrated in educational programs, such as the influential Programme for International Student Assessment (PISA). As research has identified the impact of the Big Five personality…

Self-determination has been identified as a predictor of post-school success for students with disabilities (Test et al., 2009); however, students with autism spectrum disorder (ASD) continue to experience poorer outcomes than their peers without disabilities in the areas of education, employment, and independent living upon leaving high school…

Collaborative problem solving (CPS) is a crucial 21st century skill; however, current technologies fall short of effectively supporting CPS processes, especially for remote, computer-enabled interactions. In order to develop next-generation computer-supported collaborative systems that enhance CPS processes and outcomes by monitoring and…

Online educational technologies offer opportunities for providing individualized feedback and detailed profiles of students' skills. Yet many technologies for mathematics education assess students based only on the correctness of either their final answers or responses to individual steps. In contrast, examining the choices students make for how…

This research that aimed to (1) produce instruments that were feasible to measure the ability to solve physics problems and nationalism, and (2) determine the quality of instruments that have been developed. This research was conducted through four stages, namely the design, preparation of tests, test trials, and preparation of valid instruments.…

The "Next Generation Science Standards" ("NGSS") have placed an emphasis on the incorporation of engineering practices into K-12 science instruction. This article details a sequence of physical science lessons that would be part of teaching matter in the second-grade classroom. The goals of these lessons are: (1) to be hands-on…

Educational leaders are faced with multiple ethical decisions every day. This article presents the Values-Issue-Action (VIA) Model as a tool for developing ethical decisions in K-12 schools. The model is presented with three scenarios from K-12 education to practice using the model into practice. The model can be used by current school leaders and…

The study was conducted to analyze the items about the ability of high school students diagram representation and obtain Item Curve Characteristic. Grid test instruments are compiled based on competencies and indicators of diagram representation which are then used to compile items. The test instrument consisted of five items and was validated by…

Mathematics evidenced un/manifested in/active, un/changeable, im/pure and primordial nature; therefore, it is illimitable to define as finite. It exists in the engineering of this universe. Philosophy of Mathematics studies abstract entities such as assumption and implication. Mathematics educators regard it as deductive tool and relate to solving…

This article presents the results of observations and analyses of students' learning model-driven system development from two related courses taught at a university in Norway and at a university in the United States in 2015, and consequently, in an updated version in 2016. The motivation of this article is to understand and analyse how effective…

This chapter describes the importance of self-determination for transitions and supports for adults with disabilities. Self-determination is defined and its application to the disability context examined, followed by an overview of a multicomponent model to engage adults with disabilities to self-regulate problem solving to set and attain life and…

In this study it was aimed to evaluate the effects of various factors such as sample sizes, percentage of misfit items in the test and item quality (item discrimination) on item and model fit in case of misspecification of Q matrix. Data were generated in accordance with DINA model. Q matrix was specified for 4 attributes and 15 items. While data…