Empirical studies on effects of formative assessment (FA) on motivational outcomes and underlying mechanisms are scarce. The core elements of FA, feedback and adaptive teaching behavior, might be helpful in promoting the experience of competence, which in turn is a prerequisite for promoting intrinsic motivation. However, instructional impact also…

Studies have found that some teacher professional development programs that are based on Cognitively Guided Instruction (CGI) can increase student mathematics achievement. The mechanism through which those effects are realized has been theorized, but more empirical study is needed. In service of this need, we designed a novel measure of…

Purpose: Guided by the model of domain learning theory, this study was intended to determine the extent to which integrating a 10-min physical activity (PA) break in elementary school mathematics lessons would enhance the learning of mathematics content. Methods: A sample of 22 intact classes from a random sample of eight schools in Taiwan were…

Recent publications emphasize the need to take greater account of differences in teaching quality between subjects. The empirical analysis of this topic requires a comparison of teaching quality in different subjects to distinguish generic aspects of teaching quality from subject-specific ones. In this paper, we compare teaching quality in…

Purpose: The purpose of this paper is to explore students' mathematization through a flow of lessons using the Thailand Lesson Study Incorporated Open Approach (TLSOA) to improve the excellence of instruction. Design/methodology/approach: A total of 16 Grade 4 students were selected because they have been taught using the TLSOA model for four…

Mathematical thinking is a complex, multi-faceted process that has been described as messy and difficult but can also show growth and insights into conceptual understanding and knowing. This paper explores the application of Edward de Bono's practical thinking, in particular, the occurrence of porridge words to examine the mathematical thinking of…

With the changes in Common Core State Standards, it was essential to explore how elementary pre-service teachers' sense of fractions is developing and their thoughts about how to teach fractions. A gap in practice exists because it is unknown how pre-service elementary teachers, after student-teaching, perceive their level of in-practice knowledge…

Single-subject research can provide adequate justification when developing successful evidence-based educational practices for children with autism spectrum disorder (ASD), which can help such students thrive academically. This research investigates whether point-of-view video modelling effectively improved the word problem-solving addition…

Mathematics instruction in primary school has been influenced by many policy changes and empirical findings in the previous two decades. Geometry lessons, in particular, were re-evaluated due to a paradigm change and, consequently, were attributed a new meaning within the mathematics curriculum worldwide. The present paper focuses on this paradigm…

A large body of research has shown the effectiveness of formative assessment on student learning. Yet research on teachers' implementation of formative assessment is relatively underdeveloped. In addition, there has been a lack of effective instruments for observing teachers' formative assessment practices. This study focuses on the ongoing…

This article reports two primary school teachers' perceptions of the effectiveness of lessons based on a problem-solving intervention. The intervention included enabling and extending prompts, independent student struggle time initially and time to share problem-solving strategies at the end. The intervention had two versions: one included whole…

This study explored the use of Indigenous storytelling in the planning and teaching of mathematical content. In collaboration with Indigenous and non-Indigenous educators, a culturally inclusive mathematical lesson was developed, implemented, and reviewed in an elementary school in Northern Ontario. This study used a culturally authentic approach…

Research has shown that many primary students experience transition barriers between additive and multiplicative thinking. This paper analysed responses from 253 Years 3 to 6 students to a diagnostic assessment which consists of whole number multiplication and division problems involving equal groups, arrays, multiplicative comparison and…

Diminishing duplication and finding connections between the "Australian Curriculum: Mathematics" and "Digital Technologies" were a focus of the revision to version 9. This emphasis has provided enhanced opportunities for integration of these learning areas. In this exploratory multiple case study, interviews with teachers…

An understanding of the equal sign is a fundamental concept for early algebra. While literature claimed that Chinese students commonly master the relational understanding of the equal sign in the elementary school, these claims are under-researched. This study used the Mathematics Equivalence Assessment with 237 Chinese Grade 5 students. The…