This research focuses on the retention of students' algebraic understandings one year following a Grades 3-5 early algebra intervention. Participants included 1455 Grade 6 students who had participated in a cluster randomized trial. Approximately half of these students received an early algebra intervention as part of their regular instruction in…

One of the most intransigent problems in mathematics education is the culturally-influenced divide between classroom practice and educational research. This paper describes our explicit attempt to bridge that divide by translating research on instructional practices linked to improving students' mathematics achievement into a brief guide outlining…

With the development of personalized learning in technological platforms, more data and information are given to instructors on what contents are appropriate for a learner's next step, with an aim of helping them support their students in navigating an optimized learning path that can promote an enhanced learning outcome. In this study, we…

This paper reports on the performance of 167 eighth graders in Singapore making generalisations for a quadratic figural pattern presented in a non-successive format. Data were collected through administering a written test in which the students had to establish the functional rule underpinning the pattern. The findings revealed that the students…

As part of a larger study, we report findings on teachers' use of the Common Core State Standards for Mathematics (CCSSM) and teacher resources (TR) that were included with teachers' published curriculum programs. We analyzed 147 lesson planning interviews with 20 middle school teachers to understand how teachers interpreted and enacted the CCSSM…

The positive correlation between spatial ability and mathematical ability has been well-documented, but not well-understood. Examining student work in spatial situations that require numerical operations provides us with insight into this elusive connection. Drawing on student work with angle, length, volume, and area, we examine the ways in which…

Question answering forums in online learning environments provide a valuable opportunity to gain insights as to what students are asking. Understanding frequently asked questions and topics on which questions are asked can help instructors in focusing on specific areas in the course content and correct students' confusions or misconceptions. An…

Sequence of contextual information refers to the order of descriptions involved in the context component of items, such as sequence of events, sequence of intention and action, and sequence of effect and cause. To build on prior findings on how different sequences of contextual information could influence student test scores, we used eye tracking…

Currently, the color-blind perspective is widespread in schools, as evident in formal policies and practices, as well as informal social norms (Gillborn, 1992; Sleeter, 2004). Since race is often perceived as a taboo topic in education, proponents of colorblindness ignore the existence of race and the devastating impact of racial injustice in…

Prior research shows that self-explanation promotes understanding by helping learners connect new knowledge with prior knowledge. However, despite ample evidence supporting the effectiveness of self-explanation, an instructional design challenge emerges in how best to scaffold self-explanation. In particular, it is an open challenge to design…

The COVID-19 pandemic has had a massive impact on education systems in the U.S, prompting a variety of changes to school learning environments. This study investigates student/family choices of learning modality in one large school district in the U.S and examines how these choices differ by students' race/ethnicity and performance level. Results…

Research has demonstrated the importance of the learning support roles adults play to help youth navigate into areas of interest and career pathways. This study focuses on brokering which involves connecting youth to people, resources, programs, and other learning opportunities. We examined mentor practices in a 10-week out-of-school STEM program…

This study assessed the Christian spiritual health of middle school students attending a private, faith-based school. The results provide evidence of validity and reliability for the survey instrument aiming to measure spiritual health. Two factors of spiritual health emerged from the data through an exploratory factor analysis of survey data: (a)…

From a fallibilist perspective, mathematics gradually develops with problems, conjectures, proofs, and refutations. To attain such authentic mathematical learning, it is important to intentionally treat refutation in mathematics classrooms, such as facing or proposing counterexamples and coping with them. In particular, analysing students'…

With only 34% of 8th grade students earning a rating of proficient or higher in science education (from the 2011 National Assessment of Education Progress data), much work is needed in our classrooms to achieve the new more rigorous performance expectations found in the "Next Generation Science Standards." For decades, researchers have…