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…

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…

Treatment effect estimates from a "regression discontinuity design" (RDD) have high internal validity. However, the arguments that support the design apply to a subpopulation that is narrower and usually different from the population of substantive interest in evaluation research. The disconnect between RDD population and the…

This study investigated 5-year-old Mandarin-speaking children's comprehension of "wh"-questions, universal statements and free choice inferences. Previous research has found that Mandarin-speaking children assign a universal interpretation to sentences with a wh-word (e.g., "shei" 'who') followed by the adverbial quantifier…

The ability to generate novel hypotheses is an important problem-solving capacity of humans. This ability is vital for making sense of the complex and unfamiliar world we live in. Often, this capacity is characterized as an inference to the best explanation--selecting the "best" explanation from a given set of candidate hypotheses.…

Knowledge representations that result from practicing problem solving can be expected to differ from knowledge representations that emerge from explicit verbalizing of principles and rules. We examined the degree to which the two types of learning improve problem-solving knowledge and verbal explanation knowledge in classroom instruction. We…

The current study aimed to investigate the relation between conditional reasoning, which is a common type of logical reasoning, and children's mathematical problem solving. A sample of 124 fourth graders was tested for their conditional reasoning skills and their mathematical problem solving skills, as well as a list of control variables (e.g.,…

Older interlocutors are more likely than younger ones to make pragmatic inferences, that is, inferences that go beyond the linguistically encoded meaning of a sentence. Here we ask whether pragmatic development is associated with increased activity in brain structures associated with inference-making or in those associated with Theory of Mind. We…