The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) outlines ambitious goals for fraction learning, starting in third grade, that include the use of the number line model. Understanding and constructing fractions on a number line are particularly complex tasks. The current work of the authors centers on ways to successfully…

Jim Carroll noticed basic literacy errors in his Year 13s' writing, but on closer examination decided that these were not best addressed purely as literacy issues. Through an intervention based on clauses, Carroll managed to enable his students to write better, but he did this by teasing out principles of historical discourse that underpin…

In 1975 (Vol. 8.4, 201-218), S. P. Corder, during the course of his state-of-the-art review "Error analysis, interlanguage and second language acquisition," focused on the recent literature on simplified linguistic systems and suggested that research had shown that interlanguage systems often resemble other simple codes such as pidgins…

This article aims to discuss ten beliefs that teachers hold about second language (L2) learning and to relate these to relevant theories and approaches in the field of second language acquisition (SLA). It is especially written for L2 teachers who would like to know more about theoretical approaches that seek to explain L2 learning. Preliminary…

The term "fidelity" is often used in educational contexts to describe the degree to which a practitioner follows the prescribed directions when delivering an instructional program (Sanetti & Kratochwill, 2009; Dane & Schneider, 1998). Within a Response to Intervention (RTI) framework, the term fidelity also extends to assessment…

Sprego is programming with spreadsheet functions. The present paper provides introductory Sprego examples which have so far only been available in Hungarian. Spreadsheet environments offer both a programming tool which best serves beginner and end-user programmers' interest, and an approach which lightens the burden of coding and language details.…

This article explores what it means for history students to be "wrong" in the classroom, and the important role that error plays in teaching and learning. Student errors are nothing new to instructors. Nor do they often take much notice of them. Many instructors have been scholar-teachers long enough that they accept the inevitability of…

The method of least-squares (LS) has a built-in procedure for estimating the standard errors (SEs) of the adjustable parameters in the fit model: They are the square roots of the diagonal elements of the covariance matrix. This means that one can use least-squares to obtain numerical values of propagated errors by defining the target quantities as…

Structured Literacy (SL) approaches are often recommended for students with dyslexia and other poor decoders (e.g., International Dyslexia Association, 2017). Examples of SL approaches include the Wilson Reading System (Wilson, 1988), Orton-Gillingham (Gillingham & Stillman, 2014), the Lindamood Phoneme Sequencing Program (Lindamood &…

The purpose of this article is to discuss major substantive errors that school personnel may make when developing students' Individualized Education Programs (IEPs). School IEP team members need to understand the importance of the procedural and substantive requirements of the IEP, have an awareness of the five serious substantive errors that IEP…

An understanding of noun positions in sentences can correct many recurring problems in the writing of English language learners. This article outlines an approach for anticipating and preventing these sorts of errors while providing a framework to explain the errors to students. For this approach to be successful, students need to have an…

Once the reasons for habitual observation in the classroom have been established, and the intent to observe has been settled, the practical details of observation must be organized. In this article, O'Shaughnessy gives us a model for the implementation of observation. She thoroughly reviews Montessori's work curves and how they can be used to show…

The purpose of this guide is to provide brief explanations of practices that can be implemented when working with students in need of intensive intervention in mathematics. Special education instructors, math interventionists, and others working with students who struggle with mathematics may find this guide helpful. Specific topics covered…

In the article, "What examiners do: What thesis students should know", we identified 11 things that thesis examiners do as they read and judge a thesis. But, we left a gap in the research: knowing this, What should thesis students do to write for their examiners? In this article, I fill the gap. The advice for thesis students is: first,…

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…