Purpose: This qualitative case study explored the best practices of differentiation of Tier 1 instruction within a multi-tiered system of support for English Language Learners who were predominately Spanish speaking. Theoretical Framework: The zone of proximal development theory, cognitive theory, and the affective filter hypothesis guided this…

Teacher mindset and self-efficacy are a topic of much research. However, specific research is needed in areas pertaining to teacher self-efficacy, mindset and their comprehensive understandings of specific skill sets and concepts. In this study, the researcher has investigated how the associations between a teacher's self-efficacy (high or low)…

Problem solving in mathematics has been a goal for students for decades. In the reviewed literature, problem solving was most often treated as the dependent variable and was defined very broadly; however, few studies were found that included problem solving as a treatment or independent variable. The purpose of this study was to investigate the…

Learn the most effective ways to teach elementary math, no matter how much experience you have with the subject. In this book, Fuchang Liu takes you through many common mistakes in math instruction and explains the misunderstandings behind them. He points out practices that should be avoided, helping you to adjust your lessons so that all students…

This is the first in-depth look at the important connections between the arts and science specifically for early childhood education (pre-K-3rd grade). Highlighting their many commonalities, such as the processes involved in creative problem solving, the author draws on what we can learn from Leonardo da Vinci as the supreme artist-scientist.…

This paper reviews a few applications of the exponential function used primarily in business courses. It shows that translating time units in which queuing problems are measured can be used to overcome some apparent differences between queuing (arrival) problems and survival (decay) problems. There is a cautionary note concerning the limitations…

The contemporary fields of interdisciplinary studies and the policy sciences have evolved over similar intellectual paths and timelines, beginning in the early 20th century. Both have their roots in professional efforts--within and outside the academy--to address numerous, growing, and complex problems that face humanity. The policy sciences'…

Students' performance in human-to-human and human-to-agent collaborative problem solving assessment task is investigated in this paper. A secondary data analysis of the research reported by Rosen and Tager (2013) was conducted in order to investigate the comparability of the opportunities for conflict situations in human-to-human and…

It has become gradually accepted that proof and proving are essential at all grades of mathematical learning. Among the various aspects of proof and proving, this study addresses proofs and refutations described by Lakatos, in particular a part of increasing content by deductive guessing, to introduce an authentic process into mathematics…

Many innovations in organizations result when people discover insightful solutions to problems. Insightful problem-solving was considered by Gestalt psychologists to be associated with productive, as opposed to re-productive, thinking. Productive thinking is characterized by shifts in perspective which allow the problem solver to consider new,…

Data from open modelling sessions for year 10 and 11 students at an extracurricular modelling event and from a year 9 class participating in a programme of structured modelling of real situations were analysed for evidence of Niss's theoretical construct, "implemented anticipation," during mathematisation. Evidence was found for all…

Engineering educators are being challenged to create learning environments that not only teach technical skills, but also foster higher-order thinking skills and instill professional attributes. Problem-based learning has been proposed as an effective method to prepare our future engineers. However, pedagogical innovations, like PBL, disrupt…

Studies on cognition have capitalized on the role of contexts and experience in shaping our cognitive competence. In the past few decades, the mathematical education research field has begun to pay increased attention to the mathematics practices of both adults and children that take place in non-academic settings. As a result, theoretical fields…

Assimilating an algorithmic course is a persistent problem for many undergraduate students. The major problem faced by students is the lack of problem solving ability and flexibility. Therefore, students are generally passive, unmotivated and unable to mobilize all the acquired knowledge (loops, test, variables, etc.) to deal with new encountered…

"Designing backwards" is presented here as a means to utilize human-centered processes in diverse educational settings to help teachers and students learn to formulate and operate design processes to achieve three sequential and interrelated goals. The first entails teaching them to effectively and empathetically identify, frame and…