A proof is a connected sequence of assertions that includes a set of accepted statements, forms of reasoning and modes of representing arguments. Assuming reasoning to be central to proving and aiming to develop knowledge about how teacher actions may promote students' mathematical reasoning, we conduct design research where whole-class…

Selecting the right methodology to use for detecting cheating in online exams requires considerable time and effort due to a wide variety of scholarly publications on academic dishonesty in online education. This article offers a cheating detection framework that can serve as a guideline for conducting cheating studies. The necessary theories and…

The purpose of this article is to draw the attention of mathematics education researchers to a relatively new semantic theory called inferentialism, as developed by the philosopher Robert Brandom. Inferentialism is a semantic theory which explains concept formation in terms of the inferences individuals make in the context of an intersubjective…

Negative numbers are among the first formalizations students encounter in their mathematics learning that clearly differ from out-of-school experiences. What has not sufficiently been addressed in previous research is the question of how students draw on their prior experiences when reasoning on negative numbers and how they infer from these…

Any attempt to influence behavior by sharing a research finding that makes a probabilistic statement (e.g., a p value) should necessarily entail consideration of how consumers of the information might interpret this information. Such consideration can be informed, at least in part, by applying phenomenological principles of inquiry. This does not…

In recent years, continuing advances in technology have increased the capacity to automate the extraction of a range of linguistic features of texts and thus have provided the impetus for the substantial growth of corpus linguistics. While corpus linguistic tools and methods have been used extensively in second language learning research, they…

The role that educational diagnosticians play in the educational process can vary across settings. In Texas, the Texas Education Agency oversees the State Board of Educator Certification (SBEC). SBEC certification standards outline knowledge and skills that are required for educational diagnosticians to practice in Texas. The Texas required…

Listen-to-summarize cloze (LSC) tasks are not rare in high-stakes language tests; however, we know little about what test-takers do during the tasks. In our study, we examined 16 students' think-aloud protocols (TAPs) which were recorded while they were completing two LSC tasks. The analysis of the 16 TAPs indicated iterative cognitive processes…

In the late 1980s Batia Laufer worked with teachers who believed that to understand a text it was enough to understand 80% of the text's word tokens. In response, Laufer set out to calculate the minimal text coverage, i.e., percentage of running words in a text the reader should understand to comprehend it reasonably well. In 1992, she explored…

We investigated the contribution of morphological awareness to university students' reading comprehension ability. Although there is considerable evidence that morphological awareness contributes to children's reading ability, there is much less evidence concerning adults; the few studies of adults have not controlled other known predictors of…

Fredrich Froebel was a scientist, both in instinct and in training, and his life coincided with an important and dynamic period of scientific growth. I take this opportunity to delve both into some history and futurology to examine the heritage and legacy of his work. The usual of interpolation is of reading into data: where there exist some…

Students recognise and analyse data and draw inferences. They represent, summarise and interpret data and undertake purposeful investigations involving the collection and interpretation of data… They develop an increasingly sophisticated ability to critically evaluate chance and data concepts and make reasoned judgments and decisions, as well as…

This study explores how vocabulary learning strategy usage and skills in the four language domains relate to participants' increase in vocabulary size and to the learning of specific vocabulary items over a certain period of time. Sixty-one advanced L1 Arabic L2 learners of English read target words in semi-authentic reading materials and were…

This paper outlines two cycles of pedagogic action research exploring the pre-emptive formative use of exemplars which were embedded into teaching sessions mid-way through a module entitled 'Perspectives on Childhood.' Students were asked to bring their own formative work to a workshop in which exemplars-based activities were provided. The…

A fundamental skill required for vocabulary development is word recognition ability. According to Perfetti (1985), word recognition ability relies on low-level cognitive processing skill to be automatic and efficient in order for cognitive resources to be allocated to high-level processes such as inferencing and schemata activation needed for…