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…

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…

Making connections within and between different aspects of mathematics is recognised as fundamental to learning mathematics with understanding. However, exactly what these connections are and how they serve the goal of learning mathematics is rarely made explicit in curriculum documents with the result that mathematics tends to be presented as a…

Teachers have faced various challenges during the coronavirus pandemic, including lack of skills and knowledge to teach remotely, unstable or no internet access for students in rural areas, and increasing needs to stimulate student motivation. In this article, we introduce the design, development, and implementation of a stand-alone package of…

The PISA assessment indicated that the United States performs at the bottom tier among OECD membership nations in secondary school math education. The dearth of math proficiency presented a significant problem for the United States to maintain its future leadership in global technology. The purpose of this exploratory multiple case study was to…

The main purpose of this qualitative study was to investigate the challenges faced in teaching, learning, and technology in online geometry classes. The perspectives of online geometry students and teachers provided insights into the effectiveness of online geometry learning. A qualitative descriptive design was used to gain insights into the…

Understanding the structure, antecedents, and outcomes of students' emotions has become a topic of major interest in research on mathematics education. Much of this work is based on the Achievement Emotions Questionnaire--Mathematics (AEQ-M), a self-report instrument assessing students' mathematics-related emotions. The AEQ-M measures seven…

This research study explored teachers' self-reported uptake as well as observed instructional change after participating in a year-long professional development (PD) program focused on supporting the learning and teaching of transformations-based geometry. Analyses illuminate the degree and nature of the pedagogical shifts made by teachers who…

In this study, we examined whether generalised mathematics anxiety, application of mathematics in science anxiety, and positive attitudes towards mathematics influenced adolescents' intentions to study biology, chemistry, and physics in Grades 11 and 12. Participants were 477 students in Grades 8-10 from two schools in Western Sydney. Girls…

This study reviews how slope is developed in expository materials across a seven-textbook series. Slope development is analyzed using a framework of five slope components to describe which components are used and connected, and by investigating accompanying levels of covariational reasoning. Findings suggest that the series describes slope from…

The main purpose of the current study was to develop and validate a scale of perceived attributes of the interactive whiteboard (IW) for the mathematics class. Rogers' Diffusion of Innovations Theory served as the theoretical framework. Two groups of participants in Turkey were employed in this study. The first group consisted of 350 middle school…

Although lesson study has been shown to improve the teaching and learning of mathematics, little research has focused on reasons for engaging in it from a teacher's perspective, particularly after sustained engagement with lesson study. This qualitative study reports on thirty-three teachers from the United States who were involved in twelve…

One hundred four students aged 8 to 16 worked on one Fermi problem involving estimating the number of people that can fit in their school playground. We present a qualitative analysis of the different mathematical models developed by the students. The analysis of the students' written productions is based on the identification of the model of…