Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…

Although abstraction is widely understood to be one of the primary components of computational thinking, the roots of abstraction may be traced back to different fields. Hence, the meaning of abstraction in the context of computational thinking is often confounded, as researchers interpret abstraction through diverse lenses. To disentangle these…

Information and Communication Technology (ICT) education has been actively implemented around the world recently. ICT curriculum in schools is intended to improve students' programming-oriented thinking rather than to train them as programmers. The core of ICT education is 'computational thinking'. Computational thinking is taking an approach to…

Abilities in scientific thinking and reasoning have been emphasized as core areas of initiatives, such as the Next Generation Science Standards or the College Board Standards for College Success in Science, which focus on the skills the future will demand of today's students. Although there is rich literature on studies of how these abilities…

The recent focus on computational thinking as a key 21st century skill for all students has led to a number of curriculum initiatives to embed it in K-12 classrooms. In this paper, we discuss the key computational thinking constructs, including algorithms, abstraction, and automation. We further discuss how these ideas are related to current…

According to Every Student Succeeds Act, schools are accountable for the improvement of all children; including those with disabilities or difficulties, recently arrived English language learners (ELs) as well as long-term ELs, and all students for whom English is not their native language. To meet the accountability requirements, it is essential…

This paper demonstrates how to design an instructional process aimed at teaching general methods of thinking, using the Landamatics theory and methodology. Landamatics is not a collection of lesson plans, but rather a general method of approaching the design of any effective course of instruction or any lesson plan. The method formulates general…

Learners must acquire a general strategic orientation in their problem solving, to determine what counts as relevant information in problematic situations. A dynamic systems approach is called for in determining whether general or context-specific instructions are needed to promote transfer of relevant information to novel conditions. (Author/JDD)

Students often fail to apply knowledge and skills learned in one context to other situations. Although the implicit assumption in educational practice has been that transfer takes care of itself, a knowledge of the mechanisms of transfer can enable educators to help their students integrate general and local knowledge. (TE)

Investigated was student inability to understand mathematics across concepts, focusing on the processes by which students solve problems. In-depth clinical interviews were used with students during ninth-grade general mathematics. Mathematical abilities investigated were information gathering, generalization, reversibility, flexibility, and…

Research relevant to improving instruction for learning disabled students with mathematical problem solving deficits is reviewed. Using a cognitive-metacognitive framework, techniques for teaching both specific and comprehensive mathematical problem solving strategies as well as techniques to enhance strategy generalization are presented.…

The reasons people most often give for the failures of U.S. schools involve poverty, racial inequality, and a host of social problems. This paper argues that even if all these conditions were remedied, the schools would not produce many more people with the ability to think than they do today. Teachers, who are usually able to think, do not know…

This paper presents the Hypothesis Testing Theory/Model and the Information Processing Model developed by M. Parrill-Bernstein in relation to the field of behavior disorders. The models provide a framework for (1) studying both problem solving skills and social behavior and (2) developing intervention programs for behavior disordered adolescents.…

The school psychologist's role in providing case consultation is illustrated for two problems which may be associated with a teacher's lack of objectivity: (1) transference--perception of current situations in light of past experiences; and (2) theme interference--displacement of an unresolved conflict onto current personalities or situations.…

A review of nine studies on the efficacy of metacognitive interpersonal problem-solving training with students who have learning and behavior problems found demonstrated cognitive gains but less success in demonstrating that such gains were subsequently applied to actual behavior or generalized to other social behavior. (DB)