Despite problem posing's prominence in mathematics education research, its implementation in classrooms is limited. Therefore, teacher educators should incorporate problem posing tasks into preparation programs to help prospective teachers gain confidence in their abilities. One approach to teaching problem posing includes providing examples. The…

Arithmetic problem solving is a crucial part of mathematics education. However, existing problem solving theories do not fully account for the semantic constraints partaking in the encoding and recoding of arithmetic word problems. In this respect, the limitations of the main existing models in the literature are discussed. We then introduce the…

In the spirit of the networking of didactical theories, it is advocated in this presentation in favor of a mixed networking of philosophical theories, namely Husserlian phenomenology and hermeneutics, and didactical theories to produce a fertile interplay between philosophy and mathematics education. The cross-analysis of students' work on a…

Design and design thinking are increasingly being taught across several disciplines--ranging from arts, architecture, and technology and engineering to business schools--where expertise plays a central role. A substantial corpus of literature on research in regard to design expert and design expertise has accumulated in the last decades. However,…

Purpose: The purpose of this study was to delineate differences between children with specific language impairment (SLI), typical age-matched (TAM) children, and typical younger (TY) children in learning and mastering an undisclosed artificial morphological rule (AMR) through exposure and usage. Method: Twenty-six participants (eight 10-year-old…

Purpose: In this clinical focus article, the authors argue for robust vocabulary instruction with emergent bilingual learners both in inclusive classroom settings and in clinical settings for emergent bilinguals with language and literacy disorders. Robust vocabulary instruction focuses on high-utility academic words that carry abstract meanings…

Choosing the right word to express meaning can be a challenge for English language learners (ELLs) in both English as second language and English as a foreign language settings, persisting through all proficiency levels in productive language use for several reasons. In order to make correct word choices, ELLs must master the various aspects of a…

The aim of this study is to examine the semantic structures used by mathematics teacher candidates to transform algebraic expressions into verbal problems. The research is a descriptive study in the survey model, which is one of the quantitative research types. The study group of the research consists of 165 teacher candidates studying in the…

When it comes to teaching vocabulary in foreign language classes words are often taught in isolation, without regard to the context in which they appear. The paper draws attention to the importance of teaching words in context so that the meaning of a word often results from the meaning of a larger construction it is part of. After presenting the…

How to support students in programming learning has been a great research challenge in the last years. To address this challenge, prior works have mainly focused on proposing solutions based on syntactic analysis to provide students with personalized feedback about their grammatical programming errors and misconceptions. However, syntactic…

In this paper we study epistemological transitions across an intended engineering curriculum and recommend strategies to assist students in attaining the increasingly complex concepts and insights that are necessary for transition to advanced levels of study. We draw on Legitimation Code Theory [Maton, Karl. 2014, "Knowledge and Knowers:…

Within the context of complex cognitive processing and educational interventions, Woolfolk (2016) makes reference to problem solving acquisition, problem solving retention, and problem solving transfer. In each of the aforementioned types of problem solving activities, problem identification and problem representation (reflecting procedural…

Visualisation plays a critical role in the teaching and learning of mathematics word problems. It is an essential tool for enabling learners to create meaningful mental pictures necessary for solving mathematical problems. Appropriate visualisation requires good reading skills, English proficiency and an understanding of mathematical vocabulary,…

Purpose: In this clinical focus, the authors argue for robust vocabulary instruction with emergent bilingual learners both in inclusive classroom settings and in clinical settings for emergent bilinguals with language and literacy disorders. Robust vocabulary instruction focuses on high-utility academic words that carry abstract meanings and…

Automated theorem proving (ATP) for Propositional Classical Logic is an algorithm to check the validity of a formula. It is a very well-known problem which is decidable but co-NP-complete. There are many algorithms for this problem. In this paper, an educationally oriented implementation of Semantic Tableaux method is described. The program has…