In colleges, programming is increasingly becoming a general education course of almost all STEM majors as well as some art majors, resulting in an emerging demand for scalable programming education. To support scalable education, teaching activities such as grading and feedback have to be automated. Recently, online judge systems have been…

Coding is a process of assigning meaning to a given piece of evidence. Evidence may be found in a variety of data types, including documents, research interviews, posts from social media, conversations from learning platforms, or any source of data that may provide insights for the questions under qualitative study. In this study, we focus on text…

The Department of Veterans Affairs has an immediate problem at hand. Tens of thousands of employees are working in a high-stress work environment where fast-paced daily production requirements are critical. Employees are faced with a tremendous backlog of veterans' claims. Unfortunately, not only are the claims extremely complex, but there is…

Participation in society is increasingly dependent on educational achievement. Accordingly, society as a whole is committing more resources to education to prevent the adverse outcome of students moving through the school system only to emerge without the knowledge and skills that they might be expected to attain. In this paper, we explore the…

In online educational systems we can easily collect and analyze extensive data about student learning. Current practice, however, focuses only on some aspects of these data, particularly on correctness of students answers. When a student answers incorrectly, the submitted wrong answer can give us valuable information. We provide an overview of…

"Specific Mathematics Assessment that Reveal Thinking" (abbreviated as "smart tests") provide an on-line formative assessment of middle years students. They aim to put information from research on students' understanding directly into the hands of teachers, by providing quick automated diagnosis of learning for all students in…

Pam Shanks describes the stages in the child's development of language and reminds us that the Montessori principle of observation should guide the support of the child with articulation errors. For most children with developmental articulation delays, the directress can implement Montessori materials and use conversational strategies to emphasize…

We present a new feedback strategy implemented in a natural language generation-based e-learning system for German as a second language (L2). Although the system recognizes a large proportion of the grammar errors in learner-produced written sentences, its automatically generated feedback only addresses errors against rules that are relevant at…

This paper proposes a new typology for understanding common research errors that expands on the four types of error commonly discussed in the research literature. Examples are presented to illustrate Type I and Type II errors, errors related to the interpretation of statistically significant and nonsignificant results respectively, with attention…

This paper focuses on the identification of some conceptual factors underlying the initial learning of algebra. It describes a study which uncovered three predominant notions existing in a sample of ten 12- and 13-year olds prior to formal instruction in algebra, and the ways in which a particular approach to the teaching of algebra affected both…

Nonroutine problem-solving, too, involves elements of routine. Often, elementary routines such as solving for a variable are not carried out without error. In this paper, we use new findings from neuroscientific research to explain why even excellent students make mistakes in elementary routines. [For complete proceedings, see ED489597.]

The paper addresses provisions for a diagnostically based remedial component for children manifesting clear and specific learning disabilities in mathematics. A model, the interactive unit, upon which a sequential program that systematically minimizes learning disabilities on mathematics performance is introduced. It is explained that the…

Common problems encountered in teaching Chinese that involve classical, intentional malapropisms (learned errors) are discussed. Three aspects unique to Chinese are addressed: (1) since Chinese writing is logographic, some malapropisms occur because of similar graphs; (2) since many expressions come from classical Chinese, and instruction in…

In early computer assisted instruction (CAI), negative feedback often insulted students and/or provided no useful knowledge. In classroom settings, teachers use the following approaches in dealing with students' wrong answers: (1) ask the question again, louder and slower; (2) ask the question again, using different words; (3) back up and reteach…

This paper reports on the first stage of a research project still in progress aiming at identifying undergraduate students' difficulties and errors in solving linear algebra problems. Some students' difficulties related to very basic notions of vector space theory are shown and discussed with respect to both Balacheff's theory of conceptions and…