When learning about fractions, teaching usually follows certain topics -- e.g. part of the whole, fraction equivalence, and size comparison. Not yet answered is whether students' conceptual and procedural knowledge of fractions is coherent between those topics. To answer this question, we performed a latent profile analysis of data from N = 1005…

The study aimed to establish an assessment model for mathematics teachers' knowledge of students' misconceptions in the "Space and Shape" domain, develop the testing tool, investigate and analyse the overall and differences in performance, and propose suggestions for improvement. The assessment model included content knowledge and…

This study diagnoses and explores year eight students' misconceptions and mistakes in algebra. An in-depth exploration of students' misconceptions were carried out by conducting interviews based on the students' work as outlined in a cognitive map. Based on the cognitive maps, it can be seen that the students emphasize procedural knowledge rather…

Background: Providing students with worked out problem solutions is a beneficial instructional technique in STEM disciplines, and studying examples that have been worked out incorrectly may be especially helpful for reducing misconceptions in students with low prior content knowledge. However, past results are inconclusive and the effects of…

For deaf students, spelling acquisition is a considerable challenge, especially because the spelling code is based on an oral language to which most of them have limited access. Most studies conducted with deaf students have reported that they lag behind their hearing peers. However, few studies have used a fine-grained error classification grid.…

The national 'Competence for Quality' in-service programme in Norway aims to enhance the subject knowledge and instructional competences of primary and secondary school teachers across subjects. The programme is evaluated annually through a teacher survey which, however, does not capture in depth how the programme impacts on participants. This…

This study presents the results of a cross-sectional reading and spelling assessment conducted among 118 Spanish children in 3rd, 4th and 5th grade. The first aim was to explore whether children's use of orthographic knowledge was modulated by lexical variables--word frequency and orthographic neighborhood--or sublexical…

Purpose: This study offers the first description of misspellings across elementary school using the Phonological, Orthographic and Morphological Assessment of Spelling (POMAS), a linguistic framework based on Triple Word Form theory, adapted for French (POMAS-FR). It aims to test the "universality" of POMAS and its suitability to track…

The aim of this study is to obtain information about students' definitions, mistakes, misconceptions, and van Hiele geometry thinking levels by using the definitions of 4th grade students for geometric shapes of rectangle, square, isosceles triangle, equilateral triangle, and scalene triangle. The study was carried out with 156 primary school 4th…

The purpose of this study was to evaluate the types of spelling errors made by children with mild to moderate hearing loss (CMMHL) compared with children with typical hearing (TH) and to determine if types of spelling errors were related to linguistic or audiologic factors. CMMHL and TH completed measures of spelling, spoken language, speech…

The metaphor of the mental number line accounts for numerous empirical effects of spatial-numerical associations. In the present study, we aimed at investigating directional spatial-numerical associations reflected by SNARC-like digit-direction and sign-direction congruency effects as well as the sign-digit compatibility effect when 6th graders…

Research Findings: The aim of this study was to investigate U.S. preschool teachers' math teaching knowledge in a specific content domain: counting and numbers. One hundred in-service and pre-service teachers participated in the study; they completed a questionnaire that is composed of learning scenarios and scenario-based math teaching questions.…

Introduction: Although there is ambiguity about the elements of teacher knowledge, all researchers accept that being able to anticipate what errors can be made, the reasons for and the strategies to overcome these errors, in short, the knowledge of students is important for student achievement. In this study, knowledge of students refers to being…

Background: Pre-service teachers (PSTs) training does not equip students with adequate skills and knowledge of geometry to enable them to teach this section of mathematics competently. Inadequate teacher knowledge of transformation geometry, in particular, requires intervention that targets PSTs' faulty reasoning displayed in errors they make.…

The article deals with mathematical literacy in relation to mathematical knowledge and mathematical problems, and presents the Slovenian project NA-MA POTI, which aims to develop mathematical literacy at the national level, from kindergarten to secondary education. All of the topics treated represent starting points for our research, in which we…