We review analytic frameworks related to the study of noticing in mathematics and science education for the purpose of suggesting trends in research literature across both disciplines over time. We focus on highly cited articles in both mathematics and science noticing research, along with recent articles in both disciplines. We focus specifically…

Diagnostic classification models (DCMs) are psychometric models designed to classify examinees according to their proficiency or nonproficiency of specified latent characteristics. These models are well suited for providing diagnostic and actionable feedback to support intermediate and formative assessment efforts. Several DCMs have been developed…

Fractions are an imperative skill for students to master to achieve success in future mathematics concepts and classes. Yet many students, especially those experiencing math difficulties and/or characteristics of emotional and behavioral disorders, continue to exit elementary school without a concrete foundation of fractions skills required to…

Diagnostic classification models (DCMs) are psychometric models designed to classify examinees according to their proficiency or nonproficiency of specified latent characteristics. These models are well suited for providing diagnostic and actionable feedback to support intermediate and formative assessment efforts. Several DCMs have been developed…

Due to the learning paradox, students cannot have real difficulty in understanding a mathematical concept that they have not yet understood. There is a gap between real difficulties, directly experienced by students, and illusionary ones, only observed by researchers. This paper aims to offer a critical reflection on our understanding of the term…

The role of teaching, learning, and assessment with digital technology has become increasingly prominent in mathematics education. This survey paper provides an overview of how technology has been transforming teaching, learning, and assessment in mathematics education in the digital age and suggests how the field will evolve in the coming years.…

We present a multiple case study wherein one institution established new communities of practice supporting graduate student instructors teaching coordinated courses in the presence of minimal existing resources and funding. This was accomplished by partnering with and adapting resources from another institution; one with a well-established…

Before entering teacher preparation programs, pre-service teachers (PSTs) draw on their k-12 math learning experiences and the identity resources (Nasir and Cooks, 2009; Louie, 2017) they offer to negotiate their identities as math learners (Lortie, 1975). These, at times problematic, self-associations with mathematics are often challenged as PSTs…

The purpose of this development research is to create a self-efficacy instrument to assist students learning mathematics that is valid, practical, and reliable. A self-efficacy questionnaire is the format of the instrument that was created. The main driving force behind this research is the scarcity of empirically validated self-efficacy surveys…

Students with autism spectrum disorder (ASD) require effective academic interventions tailored to their distinctive learning characteristics. This is especially important in mathematics since approximately a quarter of learners with ASD have a mathematics learning disability. This meta-analysis examined the effectiveness of mathematics…

There are increasingly frequent calls for school mathematics curricula to be informed by robust research evidence. One approach to achieving this is designing evidence-informed learning and teaching resources for the classroom. In this paper, we reflect on our experiences of designing a free and fully resourced complete set of secondary…

Students encounter difficulties in solving areas of triangles and quadrilaterals due to a lack of conceptual understanding of the topic. The researchers have developed the following activities and the hypothetical learning trajectory (HLT) through the design research approach focusing on developing activities for students to learn the concepts…

Many students rely on rote algorithms that have been recently taught as they look for a direct way to tackle challenging problems. Especially for students who have not succeeded in the typical high-school curriculum, problem-solving in a novel situation is complex, and students ask for a direct way to solve rather than persevering. The purpose of…

This paper argues that engaging students in informal statistical reasoning from early school years is essential for the development of statistical understanding. We investigated if and how children aged six-seven years old identified variation in a table of data and made predictions through the design of a teaching experiment. The classroom…

This research aims to 1) develop an effective Active Learning plan combined with skill practice according to the 70/70 criterion, 2) study the learning achievement index through Active Learning combined with skill practice, and 3) investigate the satisfaction towards Active Learning combined with skill practice. The sample group consisted of 27…