Sixty (35 girls and 25 boys) 9th-grade students' conceptual understanding of the number line was qualitatively assessed through verbal explanations and visual representations. The assessment included an open-ended question focused on students' number line descriptions and the explanations coalesced around six features: sequential ordering (i.e.,…

This study examined "backward transfer," which we define as how students' ways of reasoning about previously encountered concepts are modified when learning about new concepts. We examined the backward transfer produced when students learned about quadratic functions. We were specifically interested in how backward transfer may vary for…

Assessments play a pivotal role in Mathematics education, serving as vital gauges of students' mathematical proficiency and informing teaching strategies. Despite calls for contextualization, some educators still rely on abstract teaching methods and decontextualized tasks. This study aims to address these concerns by designing and implementing a…

This study integrates an intersectional framework with data on 15,000 U.S. ninth graders from the High School Longitudinal Study of 2009 to investigate differences in ninth-grade math course placement at the intersection of adolescents' learning disability status, race, and socioeconomic status (SES). Descriptive results support an increased…

In recent years, laptop and 'Bring Your Own Device' (BYOD) programs have become an integral part of teaching and learning in many Australian schools. For history teachers, the presence of BYOD in the classroom potentially provides the opportunity to align two key teaching goals: historical research skills; and information, communication and…

Recent research syntheses have identified several potentially high-leverage teaching strategies for improving low-attaining secondary school students' learning of mathematics. These strategies include the structured use of representations and manipulatives and an emphasis on derived facts and estimation. This paper reports on 70 semi-structured…

In this study, a paper folding activity task, which involved reaching the Pythagorean Theorem with a series of steps was designed. The aim of the task is to reach the Pythagorean Theorem with folding activities by deductive reasoning and logical inference. The study aimed to examine the effectiveness of the task and to share the patty paper…

It is considered important to clarify the role of technology and engineering education for evolving STEM/STEAM education in each country. However, in Japan, unlike in other countries, the focus on STEAM education began after 2018, so the relevance of STEAM education to technology and engineering education has not yet been fully discussed.…

In this study, 80 ninth-grade students enrolled in Algebra I from a high school in south Texas completed the Implicit Theories of Intelligence Scale for Children (ITIS) Survey and the Attitudes Toward Mathematics Inventory (ATMI) Survey, before and after a set of interventions. The students were divided into one of four groups, three with applied…

Many school change efforts aim to foster conditions for the development of students' twenty-first century skills in an equitable and comprehensive way, but methods to measure the frequency and quality of opportunities that students receive in school are lacking. In this study, we describe the design, testing, and initial evaluation of a…

Background: There exist shared competencies between computational thinking (CT) and mathematics, and these two domains also mutually benefit from various teaching approaches. However, the linkages between mathematics and computational thinking lack robust empirical support, particularly from student-centered learning perspectives. Our study aimed…

The purpose of this qualitative descriptive design study was to understand how 6-12th grade teachers describe their teacher evaluation experiences and the role those experiences play in shaping their instructional practices. The literature review indicated the need to understand how teacher understandings of evaluation tools influence their…

This study investigates the progression of students' meaning-making of epigenetic phenomena while discussing multiple visual representations depicted at different levels of biological organization. Semi-structured focus group sessions involving ninth-grade students (aged 15-16) from a Swedish lower secondary school were video recorded. Students'…

Collaborative problem-solving (CPS) is increasingly essential in both scientific practice and modern education, yet remains difficult to embed authentically in classrooms. This study addressed that gap by integrating CPS into a ninth-grade biology lesson using a smartphone-based asymmetric simulation. The innovative three-phase instructional…

This paper examines the effectiveness of vocabulary activation strategies in enhancing the speaking proficiency of English as Second Language (ESL) learners in rural areas. Recognizing the unique challenges faced by ESL learners in these regions, the study investigates how targeted vocabulary knowledge strategies can improve oral communication. A…