Many U.S. students possess only a weak knowledge of fraction arithmetic. I hypothesize that textbooks are a critical reason for students' poor performance on fraction arithmetic. This is not because of what textbooks contain but rather because of what they lack. Distributions of fraction arithmetic problems in textbooks are imbalanced, with…

Background: With the development of computational literacy, there has been a surge in both research and practice application of text-based and block-based modalities within the field of computer programming education. Despite this trend, little work has actually examined how learners engaging in programming process when utilizing these two major…

We discuss the limits of the equation of the period of a simple pendulum, T[subscript s] = 2[pi][square root]l/g, frequently used in high-school and university classrooms to measure the acceleration of gravity. We evaluate the relative error in determining the acceleration of gravity with this simple equation instead of a more realistic one,…

Continuation Task, which closely links language inputs and outputs, is considered to be an effective method in foreign language learning. This paper is an empirical research that investigates the effects of interaction and alignment of Continuation Task in Chinese as a Second Language (CSL) writing. The participants are a total of 30 Cambodian…

This study explores using transfer learning in machine learning for natural language processing (NLP) to create generic automated essay scoring (AES) models, providing instant online scoring for statewide writing assessments in K-12 education. The goal is to develop an instant online scorer that is generalizable to any prompt, addressing the…

It is commonly agreed that learner target language output and spoken interaction are essential to communicative language learning. This video-based classroom observation study of five lower secondary schools in Norway investigated how second language (L2) English and third language (L3) French teachers responded to their students when they spoke…

This paper explores the longitudinal development of the phrasicon (i.e. phraseological lexicon) of French-speaking learners of Dutch in two different educational settings: Content and Language Integrated Learning (CLIL) and traditional foreign language learning contexts (non-CLIL). We followed 195 pupils and analyzed a corpus of 390 written texts…

The present study examines the effectiveness of incorporating worked examples with prompts for self-explanation into a middle school math textbook. Algebra 1 students (N = 75) completed an equation-solving unit with textbooks either containing the original practice problems or in which a portion of those problems were converted into a combination…

Errors in mathematics are common hurdles for teachers and students; therefore, it is important to learn what errors students make and how students treat them. This study initially identified the types of errors students made while working with algebraic expressions and documented and analyzed the process of students completing an error analysis…

Understanding rational numbers is a complex task for primary and secondary school students. Previous research has shown that a possible reason is students' tendency to apply the properties of natural numbers (inappropriately) when they are working with rational numbers (a phenomenon called "natural number bias"). Focusing on rational…

In this work, we examined mathematical knowledge mobilised by mathematics teachers while interpreting students' answers, which we denote as Interpretative Knowledge (IK). In particular, we analysed the IK of prospective mathematics teachers (PTs), who were students of a Mathematics Education course for the Master's Degree in Mathematics. In order…

There is growing evidence that dyslexia may involve difficulty with implicit learning, which may hinder learners with dyslexia to acquire spelling skills in a foreign language through implicit instruction. Paradoxically, this is exactly how Dutch students with dyslexia learn English spelling at school. This research aims to determine if…

This study investigated cognitive patterns of strengths and weaknesses (PSW) and their relationship to patterns of math errors on the Kaufman Test of Educational Achievement (KTEA-3). Participants, ages 5 to 18, were selected from the KTEA-3 standardization sample if they met one of two PSW profiles: high crystallized ability (Gc) paired with low…

Little research has been done on the effects of peer raters' quality characteristics on peer rating qualities. This study aims to address this gap and investigate the effects of key variables related to peer raters' qualities, including content knowledge, previous rating experience, training on rating tasks, and rating motivation. In an experiment…

Background: Poor mathematics performance in South Africa is well known. The COVID-19 pandemic was expected to exacerbate the situation. Aim: To investigate Grade 7 learners' mathematical knowledge at the end of primary school and to compare mathematical performance of Grade 7 and 8 learners in the context of the pandemic. Setting: Data were…