Background/purpose. One of the current problems facing mathematics students, graduates in mathematics, and engineering is the disconnection between the meanings, symbolic representations, and graphics of derivatives when solving problems, which hinders their understanding. This article analyzes engineering students' understanding activated by…

The gap between theory and practice in mathematics education, particularly in primary-teacher education, necessitates innovative teaching methodologies. This paper explores the implementation of academic portfolios as a teaching innovation in algebra and number systems I and algebra and number systems II courses within the primary teacher…

This study examines factors shaping teachers' instructions of mathematical proof in Singapore. Using a qualitative case study, two teachers' conceptions, beliefs, and challenges were analysed. Findings reveal reliance on empirical and axiomatic proof schemes, shaping instruction. Teachers faced challenges such as limited curriculum emphasis and…

Background: Performance in fraction word problems in primary school indicates that learners face challenges when working with fraction word problems, despite their frequent use of textbooks as learning materials. Aim: This article presents a comparative analysis of three commonly used Grade 6 mathematics textbooks, with the objective of evaluating…

The current research implemented the Predict Observe and Explain (POE) instructional approach in mathematics and examined its efficacy in enhancing students' understanding of functions in terms of their ability to connect algebraic and graphical representations in optimization problems. Two grade 11 classes (40 students in total) and two grade 10…

In this article, we investigate the effects of the app "Fingu" on a child's understanding of the part-whole concept. Using the Artifact Centric Activity Theory framework, we initially analyse the internalisation and externalisation processes that appear to occur during one child's use of the app. Based on the learning from this process,…

The relationship between mathematics anxiety and performance has not been explored with young children who learn math using visuospatially rich adaptive games. In this study, 40 second graders used Reflex™, a game-based, visuospatially intensive adaptive learning platform for practicing mathematics fact fluency. A within-subjects, pretest-posttest…

Project-based learning (PjBL) represents a fundamental instructional reform in the new Chinese national curriculum. This study uses a new type of noticing, termed "curricular noticing," to address the questions: How teachers attend to, interpret, and respond to textbooks through the PjBL lesson study? What shared patterns emerge in…

Maths starts with children's first experiences of their world with understanding spatial relations, and then continues with their experiences to extend their learning. The learning process starts before formal education and moves along with school learning. As the first stage of formal learning, early years and early years teachers play an…

In this study, we examine the real-time decision-making processes of a teacher in a UK post-16 mathematics classroom focusing on the integration of student-centred teaching methods. The contribution of this study is a transdisciplinary theoretical discussion which links teachers' actual classroom practices (often traditional and teacher centred)…

This study investigated the impact of Process-Oriented Guided Inquiry Learning (POGIL) approach in the proficiency level of Grade 9 students along quadratic functions. It employed a quasi-experimental design with a qualitative approach. Two groups with 40 students each from Saint John Berchmans High School Incorporated were considered as the…

The implementation of large-scale intervention and development projects is often problematic, and the impacts of such projects usually fall somewhat short of what was expected. Additionally, the rationalities of intervention projects are not carried over into classroom teaching as directly as expected. This problem is generally known, but…

This paper reports some results of a study on how Colombian primary-school teachers, experienced in the use of technological tools, integrate digital resources into their practice. Specifically, we investigate the processes of selection and integration (including appropriation and orchestration) of these resources in the teaching of geometry. We…

This article provides teachers with a toolkit for assessing students in the context of data-based individualization (DBI) in mathematics. Assessing students is a critical component of DBI because it provides teachers with information about what they may need to modify in their instructional programs. In this article, we provide teachers with…

Teachers' self-efficacy in managing classrooms is an important consideration when it comes to bringing educational robots to classrooms. Orchestration tools support teachers by providing awareness indicators of students' progress as well as levers to control the flow of the lesson. We designed and evaluated the impact of an orchestration tool for…