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…

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…

A controversial, equity-focused mathematics reform in the San Francisco Unified School District (SFUSD) featured delaying Algebra I until ninth grade for all students. This study examines student-level longitudinal data on mathematics course-taking across successive cohorts of SFUSD students who spanned the reform's implementation. We observe…

In this article, the history of the golden ratio is discussed to demonstrate how exploring this ratio would be of value in a secondary mathematics classroom. Following this, a mathematical activity related to the golden ratio that is suitable for students from Year 7 to Year 12 is outlined.

The following survey study uses a quantitative research design to investigate motivational and affective aspects of students (aged 14-17) in a mathematical workshop on graph theory. Motivational and affective aspects are related to heart rate measurement (using the digital medium of a pulse watch) in mathematical knowledge development processes in…

Acquiring mathematical literacy requires students to apply mathematics in various real-world contexts. However, mathematics classes often provide brief, content-focused descriptions of reality-based tasks and tasks that describe the situation as more complex, closer to reality, are still lacking. Students with different sociodemographic…

A controversial, equity-focused mathematics reform in the San Francisco Unified School District (SFUSD) featured delaying Algebra I until ninth grade for all students. This descriptive study examines student-level longitudinal data on mathematics course-taking across successive cohorts of SFUSD students who spanned the reform's implementation. We…

The study investigated the effects of condonation on the promotion of senior phase mathematics learners into the FET phase in a high school in KwaZulu-Natal. Condoned learners were assisted to progress, despite not meeting the pass requirements. The study suggests learning support strategies teachers could use to improve condoned FET mathematics…

The purpose of this study was to investigate elements of the history of mathematics in secondary school mathematics textbooks in Ethiopia. In line with this, the study also identified the extent to which mathematics is seen as a social construct in textbooks. To achieve these four mathematics textbooks from Grades 9 to Grade 12 were selected for…

Constructing formal geometry proofs in is an important topic in the mathematics curriculum. But students' difficulties with proof are well documented. This article focuses on proofs that use triangle congruence postulates in US high school geometry. Examining students' proof reasoning in one-on-one task-based interviews, we analyzed students' oral…

Prior studies identified effective, but mainly non-digital, homework aids. This research involved 18 middle school students in a lo-fi prototyping study to integrate traditional homework support tools with intelligent tutoring systems (ITS), leveraging rich log data for personalized learning. Feature investigations in standardized diaries, goal…

The PreACT® suite of assessments (PreACT® 8/9, PreACT®, and PreACT® Secure™) can be used to monitor students' progress toward college and career readiness. Scores are classified into one of three readiness levels based on chances of meeting the ACT College Readiness Benchmark. This data byte presents the updated score ranges for each readiness…

UPchieve is a free online and on-demand tutoring platform for students in grades 8 to 12 who attend Title I schools where large shares of students are experiencing poverty. UPchieve matches students with unpaid volunteer tutors one on one and in an online setting. In this setting, students can take advantage of a chat feature and virtual…

Science, technology, engineering, and mathematics (STEM) education is an economic opportunity for an urban school district in Tennessee. Lack of interest in STEM courses was throughout schools with underrepresented populations. An urban district in Tennessee with few schools implementing STEM initiated instructional practices to increase…

The purpose of this quantitative, quasi-experimental, nonequivalent comparison-group design was to determine if "How to Learn Math: For Students" (Boaler, 2018) had a statistically significant influence on ninth-grade and tenth-grade students' mathematical achievement and the achievement gap across socioeconomic status. Participants…